THESIS This is to certify that the dissertation entitled ENERGY CONSUMPTION AND PERFORMANCE MDDELS OF SMALL PHILIPPINE-BUILT RICE MILIS presented by ANACIEIU SAWAL PARAS, JR. has been accepted towards fulfillment of the requirements for J); W A A‘.’ /“ -, ’) /-' t l / it / degreein T? E“?! [w L Ml”? L / MI, K Major professor Merle L. Esmay Datel/f 0/8? MS U is an Affirmative Action/Equal Opportunity Institution 0-12771 MSU RETURNING MATERIALS: Place in book drop to LJBRARJES remove this checkout from “ your record. FINES will ——- be charged if book is returned after the date stamped below. ““7 ENERGY CONSUMPTION AND PERFORMANCE MODELS OF SMALL PHILIPPINE-BUILT RICE MILLS BY Anacleto Sawal Paras, Jr. A DISSERTATION Submitted to Michigan State University .111 partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Department of Agricultural Engineering 1984 ABSTRACT ENERGY CONSUMPTION AND PERFORMANCE MODELS OF SMALL PHILIPPINE-BUILT RICE MILLS BY Anacleto Sawal Paras, Jr. Two simulation models were developed for small rice mills of the conventional disc-cone and rubber-roll equipped designs which range from 0.3 to 1.8 tons-per-hour capacity. These sizes comprise a large proportion of the rice mills in the Philippines. The first, a computer model, evaluated these two types of mills with regard to energy consumption, total and head grain recovery and processing time. Field and laboratory data taken by UPLB research workers and direct measurements by the author were compiled and employed in the development of equations and distribution functions for the variables that make up the subroutines for the models. The results indicated that the energy consumption of small rice mills in the Philippines could be reduced by five to nineteen percent, depending on size, without loss of quality in good performance mills by using one bigger Anacleto Sawal Paras, Jr. huller and an adjustable separator, and that the output quality of poor performance mills could be improved with just a four percent increase in energy consumption by adding a second-stage whitener. The second model estimated the cost of milled rice by utilizing Kirchoff's current and voltage laws and energy conservation principles to derive'a cost equation involving the material energy and processing cost. The results indicated that the cost of milling rice in 1978 was approximately Pl.20 per kilogram of milled rice after ‘crediting for by-product cost (P0.05) with the conventional disc-cone mill being less expensive than the rubber-roll type by about P0.02 (1.7 percent). Approved MML Majk Professor . (‘2 Appr ovedlflmflimédfl— Department Chairman To my late Father ii ACKNOWLEDGMENTS I gratefully acknowledge the support of many individuals and organizations who contributed to this study: Dr. Merle Esmay, my major professor, for his guidance and patience in editing the various drafts of this dissertation. Drs. Thomas Burkhardt, Robert Wilkinson, Robert Stevens, WarrenfiVincent and Michael Abkin who serve as members of the Guidance Committee for their advice. Dr. David Horner for his encouragement and support. Dr. Dante B. de Padua for his encouragement and support in gathering the secondary data. Dr. Ernesto Lozada and his staff particularly Messrs. Ruben Manalabe and Rosendo Rapusas for providing the physical support in the gathering of the field data. Also, to Mr. Reginaldo Gonzales for providing the photographs. National Grains Authority Directors Frank Tua and Maximx> de Ramos for providing the rice mills and paddy in the rice mill tests. Also, to Messrs. Antonio Cruz, Steve Solitario and their staff for their help during the rice mill tests. iii The University of the Philippines at Los Banos and the IBRD for making my studies in the U.S.A. possible. The Instructional Media Center at M.S.U. for their help in the preparation of my illustrations. The South East Asia Regional Center for Agriculture for their support in the library research. Mr. Robert Clark for editing the later drafts of this dissertation. Mrs. Lucille Lewsader for typing the final draft and Miss Betty Halsted for typing the pre-final draft. The Office of International Students and Scholars for their support in the printing of this dissertation. My wife Florita for typing a continually changing manuscript. My children Philipp, Parnee, Phenella and Pierre for their unending patience and understanding during the preparation of the manuscript. iv TABLE OF CONTENTS Page LIST OF TABLES o o o e o o o o o o o o o o o o o o o 0 ix LIST OF FIGURES o o o o o o “o o o o o o o o o o o o o XiV chapter I. INTRODUCTION 0 o o o o o o o o o o o o o o 1 1.1 Purpose of the Study . . . . . . . . . 2 1.2 Specific Objectives . . . . . . . . . 7 1.3 Description of the Models . . . . . . 7 1.3.1 Rice Mill Perfdrmance . . . . . 7 1.3.2 Linear Network Economic Model . 12 II. REVIEW OF LITERATURE . . . . . . . . . . . 14 2.1 Nomenclature . . . . . . . . . . . . 14 2.2 Anatomy of the Rice Grain and Its Significance . . . . . . . . 17 2.3 Rice Milling Process . . . . . . . . . 22 2.4 Input Paddy Factors . . . . . . . . . 24 2.5 Milling FaCtorS O O O O O O O O O O O 25 2.6 Ambient Relative Humidity and Temperature . . . . . . . . . . . 26 2.7 Economic Factors . . . . . . . . . . . 30 2.8 Systems Technique Used in the Modeling . . . . . . . . . . . . 31 2.9 Summary of Review of Literature 0 O O O O O O O O O O O O 38 Chapter III. RICE MILL PERFORMANCE MODEL . . . . . 3.1 Model Definition . . . . . . . . 3.2 Grain Variables . . . . . . . . 3.2.1 Input Paddy Factors . . . 3.2.1.1 Maturity at Harvest . . 3.2.1.2 Delay in Drying . . . . 3.2.1.3 Moisture Content at Milling . . . . . . 3.3 Grain Shape Measurements . . . . 3.4 Measurements of Energy Consumption and Milling Time . . . . . . . . . 3.4.1 Methodology . . . . . . . 3.4.2 Analysis of Results . . . 3.4.3 Discussion of the Different Machine Components . . . . . . . 3.5 Distribution Functions of Input Paddy Factors . . . . . . 3.6 Computer Implementation of the "Odell O O O O O O O O O O O 3.7 An Example of How to Use the the Rice Mill Performance Model LINEAR NETWORK ECONOMIC MODEL . . . . 4.1 Theory of Linear Network Economic Model . . . . . . . . 4.1.1 Kirchoff's Circuit Laws . 4.2 Procedure . . . . . . . . . . . 4.2.1 Energy Notations . . . . vi 4O 40 43 44 44 49 54 64 66 66 67 70 98 101 105 109 110 110 117 117 Chapter V. VI. 4.2.1.1 4.2.1.2 4.2.1.3 4.2.1.4 4.2.1.5 4.2.1.6 4.2.1.7 4.2.1.8 4.2.1.9 Precleaner Component Huller Component . . Plansifter and Aspirator . . . . . Paddy Separator Component . . . . . First Stage Whitener Component . . . . . Grader Component . . Transport Component . Return Huller compo ne nt 0 I O O 0 Rice Milling System Economic Model . . . ANALYSIS OF THE RESULT . . . . . . 5.1 Rice Mill Performance Model . 5.2 Linear Network Economic Model . CONCLUSIONS AND RECOMMENDATIONS . . IBDBLIOGRAPHY . . . . APPENDIX A. B. C. D. Energy Consumption Measurement Results . Rice Mill Performance Simulation Model Program . . . . . . . . . . Gamma Distribution Function . . . . Chi-Square Analysis of Random Variables vii 121 122 122 124 124 124 127 129 130 148 148 171 179 184 188 194 204 206 Appendi x H. I. J. K. L. M. N. o. .P. Q. R. Validation of the Linear Network AnalYSi S O O O O O O O O O O O O 0 O Derivation of Linear Network “Odel- O O O O O O O O O O O O O O 0 Values of Linear Network Coefficients . . . . . . . . . . . . Evaluation of the Linear Network Equations . . . . . . . . . Results of the Rice Mill Performance Model Simulations . . . . . . . . . Some Physical Properties of Rice . . Relationship of Milling Recovery and Moisture Content at Milling . . Time Studies on Rice Mills . . . . . Linear Network Economic Model Computer Program . . . . . . . . . . Philippine Trade Standards for Rice . . . . . . . . . . . . . Normal Values of Los Banos Weather Data . . . . . . . . . . . . Economic Variables Used in the Network Equations . . . . . . . . . Cost of Rubber Rolls . . . . . . . . Paddy Planting Area in the Philippines . . . . . . . . . . . . Rice Mill Statistics in the Philippines . . . . . . . . . . . . viii 209 211 216 218 224 261 263 272 275 277 295 299 300 302 303 LIST OF TABLES Table 1.1 Comparative Performance of Mills Monitored in Bicol River Basin . . . . . . 5 3.1 Results of Simulation Runs . . . . . . . . 107 5.1 Rice Mill Types Manufactured in the Philippines . . . . . . . . . . . . 149 5.2 Results of Simulation Runs . . . . . . . . 151 5.3 Rice Milling Rates of Small Disc- Cone Mill by Region in the Philippines 0 O O O O O O 0 O 0 O O O O O 152 5.4 Engine Sizes and Capacities of Disc-Cone Rice Mills . . . . . . . . . . . 152 5.5 Milling Recovery and Head Grain Percentage as Affected by HarveSt Date 0 O O O O O O O O O O O O O O 153 5.6 Results of Simulation Runs . . . . . . . . 154 5.7 Results of Simulation Runs . . . . . . . . 155 5.8 Results of Simulation Runs . . . . . . . . 156 5.9 Results of Simulation Runs . . . . . . . . 157 5.10 Results of Simulation Runs . . . . . . . . 158 5.11 Results of Simulation Runs . . . . . . . . 159 5.12 Summary of Results of Simulation . . . . . 165 5.13 Results of Economic Modeling when Milling Recovery of Rubber Roll and Conventional Mill are Equal . . . . . 173 5.14 Results of Economic Modeling of Six Different Mills . . . . . . . . . . 174 ix Tabl e Page 5.15 Results of Economic Modeling with Increased Rubber Roll Prices . . . . . . . 176 A1 Energy Consumption Measurements of Three Philippine Mills . . . . . . . . 189 A2 Computed Energy Requirement of Separators . . . . . . . . . . . . . . 191 A3 Energy Consumption of Japanese Rice "1118 O O O O O O O O O O O O O O 0 O 191 A4 Data on Machine Capacities . . . . . . . . 192 A5 Material Reduction for Different maChines O O O O O I O O O O O O O O O O O 193 D1 Chi-Square Analysis of Moisture Content of Paddy Samples from Rice Mills 0 O O O O O O O O O 0 O O O 0 O 207 D2 Chi-Square Analysis of Purity of Paddy Samples and the Probability Table of Drying Delay . . . . . . . . . . 208 15 Results of Simulation Runs . . . 226 16 Results of Simulation Runs . . . 227 17 Results of Simulation Runs . . . 228 18 Results of Simulation Runs . . . 229 19 Results of Simulation Runs . . . 230 110 Results of Simulation Runs . . . 231 Ill Results of Simulation Runs . . . 232 112 Results of Simulation Runs . . . 233 113 Results of Simulation Runs . . . 234 114 Results of Simulation Runs . . . 235 115 Results of Simulation Runs . . . 236 116 Results of Simulation Runs . . . 237 Table 1117 1113 '119 120 121 122 123 I24 125 126 127 128 129 I30 131 I32 133 I34 I35 137 138 I39 140 Results Results Results Results Results Results Results Results Results Results Results Results Results Results Results Results Results Results Results Results Results Results Results of of of of of of of of of of of of of of of of of of of of of of of Simulation Simulation Simulation Simulation Simulation Simulation Simulation Simulation Simulation Simulation Simulation Simulation Simulation Simulation Simulation Simulation Simulation Simulation Simulation Simulation Simulation Simulation Simulation xi Runs Runs Runs Runs Runs Runs Runs Runs Runs Runs Runs Runs Runs Runs Runs Runs Runs Runs Runs Runs Runs Runs Runs Page 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 -c I 1-. ‘0 Tabl e Page K1. Milling Recovery and Percentages of Different Sizes of Grain and By—products of Rough Rice Dried and Stored with 13.0 Percent M01 Sture O O O O O O O O O O O O O O O O O 26 4 K2 Milling Recovery and Percentages of Different Sizes of Grain and By-products of Rough Rice Dried and Stored with 13.5 Percent MOiSture O O O O O O O O O O O O O O O O O 265 K3 Milling Recovery and Percentages of Different Sizes of Grain and By-products of Rough Rice Dried and Stored with 14.0 Percent Moisture . . . . . . . . . . . . . . . . . 266 K4 Milling Recovery and Percentages of Different Sizes of Grain and By-products of Rough Rice Dried and Stored with 14.5 Percent “Oisture O O O O O O O O O O O O O O O O O 267 K5 Milling Recovery and Percentages of Different Sizes of Grain and By-products of Rough Rice Dried and Stored with 15.0 Percent Moisture . . . . . . . . . . . . . . . . . 268 K6 Milling Recovery and Percentages of Different Sizes of Grain and By-products of Rough Rice Dried and Stored with 15.5 Percent MOiSture O O O I O O O O O O O O O I O O O 269 K7 Milling Recovery and Percentages of Different Sizes of Grain and By-products of Rough Rice Dried and Stored with 16.0 Percent ' M01 Sture O O O O O 0 O O O O O O O O O I O 270 K8 Milling Recovery and Percentages of Different Sizes of Grain and By-products of Rough Rice Dried and Stored with 16.5 Percent Moisture . . . . . . . . . . . . . . . . . 271 xii Tabl e Page 01 Normal Values of Los Banos weather Data 0 O O O O O O O 0 O O O O O 0 0 296 P1 Capital Investment for Rubber R011 M1118, 1976-77 0 o o o o o o o o o o o 297 P2 ‘Variable Costs per Month for RUbber R011 M1118, 1976-77 0 o o o o o o o o 298 P3 Capital Investment for Conventional Mills, 1976-77 . . . . . . . . 297 P4 ‘Variable Costs for Conventional M1118, 1976-77 0 o o o o o o o o o o o o o o 298 P5 Revenue and Profit per ton for Alternative Milling Systems, Bicol River Basis Area, 1976-77 . . . . . . 299 01 Rice Huller Rubber Rolls as Of may 1' 1978 O O O O O O O O O O O O I 300 02 Specifications and Prices of Rubber Rolls (1976) . . . . . .'. . . . . . 301 R1 Palay (Rough Rice) Planting Area in 1977 Compared with that in 1976 by Region, Philippines . . . . . . . . . . . 302 81 Statistics on the Rice Industry in the Philippines 0 O O O O O O O O O O O O 303 xiii Figure 2.1 2.2 2.5 3.1 3.3 3.8 LIST OF FIGURES Anatomy of Paddy . . . . . . . . Schematic Diagram of a Disc-Cone (Conventional) Rice Mill . . . . Rice Processing . . . . . . . . . Average Deviation from Maximum Yield with Changes in Humidity . Effect on Temperature on Zenith and Rexark Rice . . . . . . . . Causal Diagram of Rice Mill system 0 O O O O O O O O O O 0 0 Effect of Time of Harvest on Percentages of Total Milled Rice and Head Rice in 1R8, IRS, C4-63 and Sigadis . . . . Relationship Between Days after Heading and Head Rice Percentage O O O O O O O O O O Drying Delay and Head Rice Relationship . . . . . . . . . . Drying Delay and Discolored Kernels Relationship . . . . . . Milling Yield Curve . . . . . . . Rough Rice at Different Moisture Contents was Collected during a Drying Run using a Flat Bed Mechanical Drier . . . . . . . . Moisture Contents of Samples were Measured using a Capacitance Moisture Meter . . . . . . . . . xiv Page 18 19 23 28 29 42 46 48 51 52 55 57 58 Figure 13.9 3.13 3.14 3.15 3.16 3.17 3.18 3.19 3.20 3.21 3.22 3.23 3.24 The Rough Rice Grain Sample was Dehulled by Hand . . Pressure was Applied on the Grain until it Cracked and the Force and Pressure Recorded Grain Moisture Content vs Rigidity O O O O O O 0 An Empirical Characteristic Curve for Rice Whitening Machine . . . . . . . . Grain Shape Ratio and Head Rice Relationship . Measurement of Voltage and Current of Motors During Milling Run . . . . . . Motor Nameplate data were Noted as to the Power Factor and Efficiency Ratings . . Double Sieve Precleaner . Single Drum Precleaner . Precleaner Capacity and Power Requirement . . . Disc Huller O .0 O O O O 0 Schematic Diagram of a Rubber Roll Huller . . . Huller Capacity vs Hulling Time 0 O O O O 0 O O O O Huller Capacity and Power Requirement Relationship V-type Sifter o o o o 0 Rice Sieve Capacity and Power Requirement . . . XV 59 60 61 62 65 68 69 71 73 74 75 76 78 79 80 81 Figure 3.25 Double Action Husk Aspirator . . . . . . . 83 3.26 Husk Aspirator and Aspirator with Stoner Power Requirement . . . . . . . . . . . . 84 3.27 Grain Flow through the Paddy Separator . . . . . . . . . . . . . 86 3.28 Components of a Paddy separator O O O O O O O O O O O O O O O O 87 3.29 Paddy Separator Capacity vs Hulling Time 0 O O O O O O O O O O O O 0 O 88 3.30 Paddy Separator Energy Requirement vs Capacity . 89 3 .31 Whitening cone 0 C O O O O O O O O O O O I 91 3.32 Cross-section of Abrasive Whitener O O O O O O O O O O O O O O O O O 92 3.33 Section of a Friction Roller Type Whitening Machine . . . . . . . . . . 93 3.34 Cone Whitener Capacity vs Whitening Time 0 O O O O O O O O O O O O O 95 3.35 Whitener Capacity and Power Ranired O O O O O O O O O O O O O O I O O 96 3 .36 Grading Of White Rice 0 O O O O O O O O O O 97 3.37 Rice Grader Capacity and Power . Required 0 O O O O O O O O 0 O O O O O O 99 3.38 Probability Distribution for Moisture Content of Paddy Delivered for Rice Milling in the Bicol Region . . . . . . . . . . . 100 3.39 Probability Distribution for Purity of Paddy Delivered for Rice Milling in the BiCOI Region 0 O O O O O O O O O O O O O 100 xvi Figure 3.40 3.41 4.3 4.4 4.5 4.6 4.7 4.8 4.9 4.10 4.11 4.12 4.13 Probability and Cumulative Distribution of Drying Delay for Paddy Delivered for Rice Milling in the Bicol Region . Computer Flow Chart of Program Rice Mill . . . . . . Example Circuit and Its Linear Network . . . . . . . . Modified Circuit and Linear Network . . . . . . . . A Typical Industrial Process 0 O O O O O O O O O 0 Diagram of Precleaner Component Process 0 O O O O O O O O O 0 Diagram of Huller Component Process 0 O O O O O O O O O 0 Diagram of Sifter Component Process 0 O O O O O O O O O 0 Diagram of Paddy Separator Component Process . . . . . . Diagram of First Stage Whitener Component Process . . . . . . Diagram of Second Stage Whitener Component Process . . . . . . Diagram of Third Stage Whitener Component Process . . . . . . Diagram of Grader Component Process 0 O I O O O O O I O 0 Diagram of Return Huller Component Process . . . . . Schematic Diagram of a Disc-Cone (Conventional) Rice Mill . . . xvii 102 103 111 111 115 120 123 123 125 125 126 126 128 128 129 Figure 4.14 L1 L2 Linear Graph of a Rice Milling System . Different Simulation Runs on Commercial and Preposed Mills Comparison of Recommended Energy Requirement and the Simulated Values Time Study of a 2.5 ton-per-hour Rice Mill in the Philippines Time Study of a 6.25 ton-per-hour Rice Mill . xviii Page 131 167 170 273 274 CHAPTER I INTRODUCTION The introduction of high yielding varieties (HYV‘s) of rice into Southeast Asia in the late 1960's created the potential for the Philippines to become self-sufficient for this vital crop and even to become a substantial exporter. ‘However, "second generation! problems - those associated with storage, processing and marketing - confounded this .potential. ‘When HYV‘s were first planted in 1967-68 on twenty- two percent of the lowland rice area, an eleven percent increase in total yield resulted (Mears, 1974). The peak rate of growth was attained in 1969-70 with annual increased yield of seventeen percent. Although the following year attention was prematurely turned to other crops and a rice crop failure occurred, the increased production experienced the previous years was sufficient to demonstrate the inadequacies of the traditional post- harvest operations. Indeed, post-harvest losses were as high as thirty-six percent (Araullo, et al., 1976). .lvol ”no '0..- . u I... I‘.~ ‘I.~ I ."U [ ' ‘4 2 The National Grains Authority (NGA) initiated an extensive effort to ameliorate the situation utilizing the facilities of the International Rice Research Institute (IRRI), the University of the Philippines at Los Banos (UPLB) and related government agencies. Substantial progress was made in selected phases of processing and storage through the introduction of locally produced farm dryers and locally made and imported drying plants. Renovation of USAID-purchased grain elevator and storage facilities was also undertaken. Rice milling, however, experienced the least technological improvement in the rice marketing system, although losses using the traditional mills had been among the most substantial, from two to ten percent of the grain processing operation (Timmer, 1974). Efforts to improve mills were limited both by a 'lack of research into the problems involved and the comparably high cost of changes in these operations. 1.1 chmfitndx Decisions regarding rice mill construction and alteration involve a number of variables and trade-offs reflecting the costs of construction, the costs of operation and the quality and quantity of the output. When the sc0pe of the "second generation" problems became 3 apparent in the early 1970's not enough information regarding rice milling operations in the Philippines was available to make informed decisions. There followed four significant studies. Three of these (Andales, et al., 1976; Camacho, et al., 1977; and Sison, et al., 1976) were made on commercial milling equipment processes under typical conditions, and the fourth was based on measurements made under controlled laboratory conditions (Manalabe et al., 1978). ‘While these studies provided valuable theoretical and actual data about milling operations, they failed to provide a sufficiently complete picture for decision making because they were limited by the number, sizes and types of mills available in the field for monitoring. Some important variables such as energy consumption.and time delays in milling were also unavailable. With the field measurements of these missing variables made by the author in this study it was possible to construct a systems model validated by actual experience in the mills. This model provides a tool for evaluating at greatly reduced cost and in minimal time the effects of altering the variables involved (Seshuy et al., 1959), such as: the use of single versus double hullers, one- stage versus two-stage whitening, and energy use versus quality of output. lit. .1 In Dov . I a... cut u.,‘ ‘- ‘n L " 4 ‘-< The Camacho, et al. study was a joint effort by the Agricultural Engineering Departments of the International Rice Research Institute and the University of the Philippines at Los Banos. This was conducted in the Bicol River Basin which is under development by the Bicol River Basin Development Program with funds from a USAID grant (Bicol Project Agreement No. 75-09, Sub-agreement No. 15). About 334,410 hectaresl/ in the Bicol Region was planted to rice in 1977. This represented about ten percent of the area planted to rice in the Philippines. This area is typical of about forty percent of the rice producing areas in this country, particularly the eastern seaboard areas of Cagayan Valley, Southern Tagalog and Eastern Visayas. These areas are subjected to the seasonal typhoons prevalent in the South Pacific Islands during the month of September. This particular characteristic makes it an area where special attention must be provided to minimize damage to crops during harvesting and processing. Table 1.1 summarizes data from the eleven representative rice mills monitored during the study period of 1976-77. Small rice mills of the kind analyzed in this study processed almost all of the rice in the Philippines in l/See Appendix Table R. D 0405!. .l-\/ C h.- .04. .5uoumuoan map can» umcch 0H mum>oomu 00H“ cmHHHE HMHoumEEOU.I .mmHmEmm 00000 wmuomHHoo mo HMHucmuom mcHHHH MM .cmuowHHoo monfimm GUHH pmHHHE mo mHthmum wuouMHOQMH co commm\m .mcuoomu mHHmU so wmmmm\m v.5H H.v H.v0 0.50 5.00 5.00 H 000.0 umHHsc Hamsmwuucwo 0.00 H.0 H.00 v.00 0.00 0.00 H 000.0 soHumcHnEoo HMHHsc Hmoum nomH0 ocoum v.0H \mm.H m.H0 0.50 0.05 0.00 H 0Hm.0 GOHumchEoo umHHsc Hmwpm HHoH swansm m.MH H.o v.vm 5.50 0.05 0.50 H 040.0 mmmm onch HHo.H nocnzm 5.0 \m0.0 0.05 H.00 H.m5 0.00 H 0v0.0 zm mouumumz 0.0 0.0 0.H0 5.50 00.05 0.50 H 000.0 :0 mcHocoo H.5 0.0 H.vm 0.00 0.55 0.00 H 000.0 am cmcmanq .0.mv “0.00 Am.Hm. 10.000 10.050 20.000 m A.>m0 600» menu v.00 H.5 0.00 0.00 0.v0 0.00 H 050.0 :0 mHmamm 0.00 0.0 0.55 0.50 0.00 0.H0 H 000.0 OMMHO 0pvm 0.H 0.05 H.50 0.00 0.00 H 000.0 20 mmuuoe 0.50 H.0 0.55 0.50 0.00 H.H0 H 000.0 20 000000 “0.0m0 ”0.00 “0.050 “H.500 Hm.0vv A0.HOV v A.>mv HoHHsc Homum u c m o u m m hum>ooou \Nuo>oooultwum>ooou \mwum>oomu .I5u0>oomu .mmhm>ooou «OHM OOHH mOHH «OHM \n OOHH \ ooHH msoHu .uc\mcou unwm cmHHHz 000: cmHHHz wmwm cmHHHz Im>ummno auaommdo Emummm 0cHHH0: cHwfis acaHHHs suoamquMH a aHmfis,maHHHHs oHoas‘mafiHHfis mo .02 . HMHouosEoo .umn mocmumMMHo auoumuoamq HMHoumEEoo 55l050H .cmum :Hmmm Hm>fim HOUHm .oHacmzom mcHuouHcos on» :H flmGsHUSM mHHHE mo coedfiuouuom mcHHHHE 0>HumummEoo H.H oHnma 6 1984. Less than one percent of the rice was processed by the three large-capacity (6 to 25 tons per hour) rice mills in the country. The two most important types of small mills, which accounted for ninety-five percent of the milling operations, were equipped with steel hullers (forty percent) and the conventional disc-cone (fifty-five percent).l/ The miscellaneous types of mills which processed the remaining approximately five percent of the rice included a newly introduced rice mill with rubber rolls. This is a portable unit and favored by some as a replacement for the steel hullers. However, the rubber rollers are expensive and require replacement after every 15 tons of paddy (see Appendix Table 02). Another portable mill is the centrifugal huller with a performance very similar to that of the steel huller mills. The NGA estimated that in 1979 the steel huller mills numbered approximately eighteen thousand, eight thousand of which were unregistered. These mills were one- quarter to one—half ton per hour capacity. The conven- tional disc-cone mills were unofficially estimated by the NGA.to number approximately three thousand, indicating ”See Appendix Table S for a survey of the number of steel hullers and conventional disc-cone mills in use in 1973. t-I' .n'. I. ' U... A. ‘ a I. ‘ :r: I .A~ I t‘VU :‘t ."‘ 7 increased popularity of steel huller mills compared with the 1973 survey estimate. 1.2 mm: The specific objects of this study are to: 1. Develop a rice mill performance model that will realistically simulate selected milling technologies and provide a basis for the evaluation of performance and energy consumption over a wide range of input and output capacities. 2. Develop a linear network economic model of rice milling systems for evaluating milling costs over a range of capacities within a selected set of technologies. 3. Conduct simulation runs to show how information may be generated to help in the decision- and policy-making processes of planning, design and operation of milling facilities. 1.3 Win at the Male 1.3.1. Rice Mill Performance All of the available information on rice mill performance was from rice mill tests. These data were limited by the high cost of monitoring mills and by the unavailability of the different types of mills in the field. The capacities of Philippine manufactured mills - :9:- I line“ I 0‘ I" u '0 'Uv til .01., u ‘. a: "A x: v a .- Q N '0 I a a .' ~ range from 0.3 to 2.0 tons per hour. The two main technologies were from Europe (i.e., Germany and Italy) and Japan. Philippine mills which were based on German design were known as conventional disc-cone mills while the Japanese mills were known as rubber roll mills. In order to evaluate the mills on the basis of their technical and economic performance, it was decided to develop»two models that would.evaluate commercial rice milling systems over a range of capacities for a selected set of technologies. Data that were readily available from other researchers included input paddy factors such as: maturity or moisture content at harvest and at milling, drying delay and purity of grain. Milling factors included machinery adjustments and ambient temperature and relative humidity. Data on grain rigidity or grain pressure during milling, grain shape, grain moisture content and purity were available but were not readily usable due to the lack of analyses of their relationship to rice milling. Unavailable information which was measured by this author was on energy consumption of individual rice mill component machinery, and time measurements of the different delays in the rice milling operation. Modeling provides a convenient and low-cost means of evaluation. The first consideration in modeling is to choose between a dynamic and a static model. Static in, out I‘- ll. '. I .~. ‘ ‘0.- "‘n ~h. " OI . u models are incapable of providing informatiOn about the future consequences of current decisions. They are constructed with equations which do not contain past values or rates of change of system variables. A dynamic model is useful for analyzing the operation of an individual system for peak labor usage and the effect of a disturbance, such as bad weather, on the system (Tummala, et.a1., 1973). This study, however, was designed for comparison of a .nmmber of systems. Static models proved simpler and more suitable for the desired comparisons. The development of the computer model involved the understanding of the rice grain, the rice milling process and gathering of data related to the model. Rice grain processing is uniquely different from the processing of other grains such as wheat, rye, barley and corn. Rice is marketed in whole-grain form rather than in a processed powdered form; thus, the processing stage is more critical than for other grains. However, all grains are living and respiring biological products and as such are affected by whatever previous treatment they experienced in the growing, field handling, drying and storage stages. The variables that affect the rice grain quality and milling yield were incorporated in the computer model. The physical properties of the grain such as grain shape, 10 hardness and length are another set of variables that were analyzed and included in the model. The rice milling process was also studied. The stages in the process were observed and measurements made on bin capacities, time delays and energy consumption. To collect data on energy consumption and time delays during rice mill operation, three mills of sizes 1.0, 2.5 and 6.25 tons per hour capacity were monitored during operation. One observer was posted at each machine component and the rice mill was started at a predetermined time. Time of entry and exit of paddy or rice, as the case may be, was noted. Figures L1 and L2 in Appendix L show the results of time measurements. 'Voltages, amperages, power factors and efficiencies were noted at each electric motor at three different times during the milling run (Figures 3.14 and 3.15). The average of the three readings for each machine component is shown in Appendix Table A1. Bin capacities were obtained from manufacturers' plans. Material reduction data were derived from the work of Manalabe, et aL" (1978), and machine capacities were from Jose Bernabe and Co., Inc. These measurements were expressed in terms of equations and graphs which are discussed in more detail in Sections 3.2 through 3.5. The computer model was patterned after the different steps in the rice milling process. Time delays 11 in the process were due to the operator's practice of waiting until the bins were half full before opening the feed shutters of the machine. The measurements of the delays were obtained by dividing the bin capacities by the handling or processing rate of the machine immediately preceding the bin. Processing time of each machine was obtained from a graph or from the input grain mass divided by the machine handling rate. The power requirement which was obtained from a graph was then multiplied by the processing time to obtain the energy consumption. The grain quality was expressed in terms of the mass percentage of the whole grains and of discolored grains over the total milled rice. These two quantities were obtained from a quality factor which is the product of four variables obtained from the graph of grain factors affecting quality. This process is explained in more detail in Chapter Three. The efficiency of the rice mill was measured by the milling recovery which was defined as the mass percentage of the milled rice over the pre-cleaned input paddy. The amount of milled rice was obtained by the use of reduction factors at each milling stage. Input variables were of two types: first, the rice itself, and second, the mill studied. The first category included such factors as grain‘ shape (the length-width ratio), growing season (wet or dry) 12 and drying method (solar or mechanical) which were determined by observation. Other grain factors such as harvesting delay, moisture content at milling and grain purity were generated internally by a random number generator employing normal distribution functions. Drying delay, by which is meant the number of days delay between harvesting the rice and the beginning of the drying process, was derived by employing a third order gamma distribution function. The second set of variables required were: the capacities of the different bins in cubic meters; the number and capacity of the precleaner; type, number and capacity of the whitener; type, number and capacity of hullers; type and capacity of separators and the mass of paddy processed. The output provided the milling time in hours, output in hours, total recovery, head grain recovery and percent discolored kernels as well as the total energy consumed in kilowatt-hours. 1.3.2 Linear Network Economic Model The system's cost of operation was evaluated over a range of capacities using a modeling technique in which the system was analyzed as a set of components which were described in terms of their mass and energy character- istics. The components of the rice mill were classified bu'V lg“! 0.1" tgua 00' v 1 ‘l'! loud I O... I I I) I. . ‘ 'Vi. o... . u...- I... 'II- 'MI‘ 6 ‘lw. .H' u 13 into those that perform material transformations and those involving transportation. A material transformation involved conversion of the input material into an output product while transportation components included transport energy cost. The model is in the form of an equation for the cost of output milled rice in terms of input variables and technical coefficients. The technical coefficients are dimensionless numbers that express the ratio of output over input or vice-versa for a particular process. A more involved discussion of the method is in Chapter Four. CHAPTER II REVIEW OF LITERATURE In order to carry out the objectives of this research it was necessary to develop an understanding of the complete rice milling process and the previous work done by other researchers. 2.1 Nomenclature The following terms are commonly encountered in rice milling literature. Terminologies sometimes vary depending on milling practices. Milling in Japan, for example, does not include the husking process, and their definition of recovery or yield is based on brown rice rather than paddy or rough rice. The definitions found here are those used in the Philippines. a. .Bgngh Rice (Paddy) is unhulled grain. b. .3123 Milling includes the process of removing the husk from the rough.(whole) rice kernel and bran (pericarp, testa and aleurone layers) from the brown rice kernel. 14 Co 15 Buaking er Hulling is the operation of removing the husks from rough rice. Brena Riee consists of rice after the husks have been removed and separated from the whole kernels. Whitening is the process of removing the bran layer from the brown rice. ,Milled.Biee consists of the resulting white rice after the bran layer has been removed from the brown rice. .Milling Degree refers to the extent the bran layer has been removed and is expressed in percentage of the original rough rice. Reliehing er Refining is the process of removing the powdered bran adhering to the milled rice after the whitening process. Breken.fiiee includes kernels broken into pieces that range in size from 1/4 to 3/4 of whole grain. .BrexerLe.Riee er Relate include broken pieces after milling that will pass through a 1/16 inch sieve. Heed Biee includes kernels that are from 3/4 to whole kernel size. foreign Matter or leakage pertains to O. 16 impurities in rice such as: weed seeds, stones, sand and dirt. Chelky Kernels include milled rice kernels which are at least half non-translucent. It may be caused by the harvest of immature rice or also may be genetically related. Damaged Kennels includes milled rice kernels damaged by insects or mechanical means. .Dieeelered.xernele includes yellowish milled rice kernels damaged by fermentation or heat. metal Milling Reeeyery consists of the weight of milled rice from the milling operation expressed as a percentage of the original rough rice (clean and dry) weight. Heed Biee.3eeeyery consists of the weight of head rice obtained from the milling operation expressed as a percentage of the total milled rice weight. geefifieien; efi Hulling is the preportion of brown rice by mass produced by a huller as percentage of the total amount of paddy fed into the huller. geefifiieientyef Hheleneee is the proportion of whole brown rice by mass as a percentage of 17 total amount of brown rice produced by a huller. I t. Hullingyfiffieieney is the product of the coefficient of hulling and coefficient of ‘wholeness of grains. 2.2 Anatomy cf the Rice Grain and Its Significance The anatomy of a rough rice kernel is shown in Figure 2.1 and a rice mill diagram in Figure 2.2. The following description is from Araullo, et al. (1976): The outermost tissue of the grain is commonly known as the husk and is formed from two specialized leaves, the lemma covering the dorsal part of the seed and the palea covering the ventral portion. The palea and lemma are very loosely joined together longitudinally by means of an interlocking fold on each side of the seed and they are consequently very easily separated. The husk is formed mostly of cellulosic and fibrous tissue and is covered with very hard glass like spines. In the dry seed there is a distinct space between the husk and the cryopsis (kernel). The outermost layer of tissue of the cryopsis is a thin sheet of fibrous cells, the pericarp. This is sometimes called the silver skin because of its very flimsy and fibrous appearance when it is dissected from the grain. The thin pericarp layer is a very hard tissue that is highly impermeable to the movement of oxygen, carbon dioxide and water vapour. When it is intact it provides very good protection against mold attack and oxidative and enzymatic deterioration of the underlying tissues. Beneath the pericarp is the tegmen, which is a layer several cells in thickness. These cells are also a part of the seed coat but are less fibrous than the pericarp layer. They are rich in oil and protein but contain little starch. Beneath the tegmen is a layer of tissue several cells in thickness commonly known as the xnwac mo esocaa< H.0 oestm <3. . . TI .. . «3304 3330 x03: unis 933qu Such-ovum .353 0.35.0: .353 ”Hog-Z doHdnH No. Angmofiv 3.0m. anuomuaaznm 933th czium 02.533.02.003 a ,C _ 19 We HHHz oon AHmcoHuco>couv accouomHo a mo EnemaHo UHHmEocum 0.0 osszm N lulu :2, HIS curb.“ mu... Quail V / a D c c w S... 3.23 o G 55 .13.... a .. 23405 ‘03: Pep. Qua; — lulu—.23 uzou cowszouo >88 95: . , .52: x n _. >mm>oomm$ sou mzmxozm 0053 .52 _ zme<3 020.4000 4.220 .50 ammuxm .521. 00.3.3 30 mo; 09:5 002 7.. >093 23000 amfimqommm 05.2ng L r 4 w 253 9.00: 005.000 .5» .53 4: \t . 1/ 2.4 4' I:';a l...» 0v).- .O‘dn' I :-~ 3 Hal ‘RDD 'v..e I. " .9 "- it. u 'I I :‘a. 24 2.4 .Innnt.2addx.zactcra Nangju and De Datta (1970) found that irrespective of variety or nitrogen level, the optimum time of harvest of transplanted rice for obtaining maximum grain and head rice yields and highest germination percentage was between 28 and 34 days after initial heading in the dry season and between 32 and 38 days, in the wet season. These periods correspond to moisture contents of between 22 and 19 percent and between 21 and 18 percent, respectively. Rapusas, et a1. (1978) reported that in the dry season, in Los Banos, Philippinesl/ the non-aerated paddy held in sacks before drying maintained its grade quality up to 3 days. In the wet season experiment, the non-aerated paddy held in sacks showed a loss in grade with a one day drying delay. Ongkingco, et al. (1964) found that the highest :milling recovery was obtained from grain dried to a moisture content ranging from 13.0 to 14.5 percent wet basis, with milling yields ranging from 68.2 to 69.9 percent and the highest percentages of whole grain (head rice) ranging from 58.3 to 58.8 percent. Much lower l/The dry and wet season average temperature and relative humidity in Los Banos are 26.8°C and 80.0 percent and 26.l°C and 85.4 percent, respectively. ' AAO.‘ .va' ‘ .aqonu 58.0.v- 0 l I‘v' H lug...‘ f I;- '- 3n 1 II. have .-. a ‘1‘.“ "u.= Ir.‘ 9‘! 0‘..‘ 15.6 5 2‘- “|‘ . ‘ u I (I) fl 25 recoveries were obtained from grain dried to a moisture content of 15.0 to 16.5 percent. Lower percentages of *whole grains were also obtained, which may have been due to damage caused by overheating caused by respiratory heat during storage. 2.5 Milling Easter: Manalabe, et al. (1978) reported that the quantity as well as the quality of brown rice recovered from single pass hulling varies significantly with the huller clearance. The indica rice variety has an average brown rice kernel length, width and thickness of 7.13 mnu, 2.18 mm. and 1.66 mnn, respectively. At 14 percent moisture content wet basis, the clearance adjustment for optimum hulling efficiency should range from 3.0 mm. to 4.0 mm. for the stone disc huller and from 0.75 to 1.0 mm. for the rubber roll huller. Hulling efficiency on these settings ranges from 55.1 to 57.8 percent for the disc huller and 82.1 to 83.3 percent for the rubber roll huller. Between the two huller types, the rubber roll huller had a higher total outturn of brown rice from paddy of 75.2 as compared to 72.8 percent for the stone disc huller. There was partial scouring of brown rice and brokens are blown away with the husks in the stone disc huller. .I: I h It... I y- I oh I ’4 0". Dana l‘e.‘ llA. 6i.- - l ' D I 0.. ‘A I 0‘.‘ 5.. \4 26 Manalabe, et a1. (1978) concluded that the milling system used did not have a significant effect on the recovery. The recovery percentage for the milling systems using a stone disc huller ranged from 63.2 to 64.87 percent, while that for the milling systems using a rubber roll huller was higher, though not significantly so, ranging from 66.5 to 67.7 percent. Researchers at the University of Arkansasl/ found that the relative humidity of the mill room affects the yield of head rice. Optimum yields were obtained when the relative humidity was between 70 and 80 percent. The mill room temperature did not affect the yields of head rice when the temperature of the rough rice entering the mill was approximately the same as that of the mill room air. The mill room relative humidity ranged between 70 and 80 percent. 1L6 .Amhlan.Bcchi e Humidifx.and.Temperatnre Rice milling researchers at the University of Arkansas presented results of the effects of mill room humidity on milling efficiency as well as in some portion of the milling process. The effect of rice temperature l/See undated Reference entitled Rice Milling Research TerminalRechfcftheInscifgfecfScienceandTechnglegy, University of Arkansas, Fayetteville, Arkansas. 27 relative to room temperature on milling efficiency was also studied. The relationship of air humidity and rice moisture content has been discussed in several published reports (Hall, (LW., 1963) concerned with hygroscopic equilibrium. Rice with a moisture content of 12.5 to 14 percent is in equilibrium with the atmosphere at approximately 70 percent relative humidity, which would indicate that rice milled under such conditions would neither gain nor lose moisture. Rough rice samples of approximately 1,200 lb each were collected from representative lots from Southern Arkansas commercial mills for each series of test runs. The 1,200 lb samples were divided into six 200 lb mill samples and stored in airtight containers for three weeks preparatory to milling. The mill room temperature was held constant at 80°F plus or minus 2°F during all runs. An attempt was made to mill all runs at relative humidities of 30, 50, 60, 80 or 90 percent with a duplicate run at each of these humidities. Determination of moisture was made and the fat content of bran layers was measured in order to determine whether bran was being removed to a uniform degree in a specific series of runs. Figures 2.4 and 2&5 show, respectively, the average deviation from maximum yield with changes in humidity and the effect of temperature on Zenith_and Rexark Rice. 28 ‘ ’ mmmcaxu< .oHH>oHuoxmm .mmmemcp< mo qumHo>ch Accumuea use msosxeosov omnuo>< .v.0 onsmHm Hague Home HuiaHesz o>HpmHoz Goa om cm 05 00 cm 00 on . cm . --- -11, L; l .I) go Acopno>couv 00; «0580030 0 . 00H”. 3580030 0 8 oon xsmxoz m - OOHm AHMCQN < I. . o 9 cm s .\< \ ., m \\ c. .1 z A T. . l o Op 0 domq (luaa 13d) ptarx aura pea“ u: 29 mmmcnxu< .oHHH>ouuvxmm .mmmcmxn< mo qumHo>Hcs .Hwoumcca 0:0 msoexcoc m.eoumxm HHHz oon mo EmHmaH0 Homoao ooNHHmowH H.m onsmHm HHHastz zwwmwmu m>Hea45: 02-3 . m mmoeooH cowopuflz mossy mo ommuo>ymn mo mafia mo poomwm N.m ohsmflm 363: .23 {no .L 2. 3.31 \ 3.: no.2 llnl... 3.: 3...! .3: till... .68.... . 9 vv 9 on «n 3. cu ow 0.. 533 8:: £00 . d q q n J _ .JTW vv 0.. 9n ~n as. v~ Om . 2 . . . w a _ q a q - fier 0 L Ow a o 7.3.. .. an. ”.2... . .33.. s 13.. . cm 23.3 o flora. ...3.o .. as. «33.9 . 33.. o T: .3 “a £3.25 0 \ fl/ "fin.“ a an” sun“ .“uooqufi H H.H“- . cm 3...“ o \w . . o .. . to o .0 a n . . . .. a ( ... 5 $2. a a n... «33 o 38 a .3 2.. am 3:. o x A 52.. u a. $319.33.. . 93.. n a» .3: b \ .286 a a... «186 n 33‘. v.3 .3 ca 3.50 \ o I n c \\o .oofi’.0 O u¢.~1h9.0 .- nnxofl f ‘vu OI W flu: D \ ul Ofl / O k 0 L on o . x P / a \ e m , . \\\ \ \\\ ”I / \ \ x .u a . \u\ a / 82 3.3 a...» x \ \xb m Ill.\n\ \ . ll \\ \O \ a I o I o o \D\\ D\ 9 so / a x.\ \ L a H a If p (I o b \\ o\ \ m 7’9 II o 0 oh‘ \ \ a c. V III-III... '0‘ \ \ p o .\ \ Um I u o \ o \ u. a 9 [.0 D \\ .w m \1 3 to." o.“\0 \ \J 8 o I 00 an a a \ g i O . IILV . \ 3:.JJIIVIIIMI; I'll”..\\ud\ all: .nranfiéfiaTidrnu :I...¢Iu Hi \ oh (7.) ”'3 PWH 9 ”‘6 933% I363]. 47 decrease in moisture content. A combined graph as discussed in Section 2.4 is shown in Figure 35L The low levels of head rice for the four varieties at early harvest were primarily due to the presence of many meature,Agreen and chalky grains, which were easily broken during hulling and polishing. As the level of these low- quality kernels decreased, the head rice yield increased. After reaching the maximum value of head rice yields, the head rice yield at later dates was caused by the alternate wetting and drying of the grains, which caused sun- checking. When variability arising from varieties and nitrogen levels was ignored, the maximum head rice level occurred between 24 and 34 DAB in the dry “season and between 32 and 38 DAR in the wet seasons. Harvesting before or after these optimum periods resulted in significant head rice decreases due either to under- ripening or over-ripening of the kernels. The corresponding moisture contents of grain during these optimum stages were between 19 and 25 percent for the wet season and between 18 and 21 percent for the dry season. Camacho, et al. (1978) reported that farmers used several methods which could be categorized as follows: twenty-one percent used maturity date, eight percent used a percentage of 50-69 ripe grains, eleven percent used a TOTALMILLED RICE PERCENT OF MAXIMUM HEAD RICE § 0 O on O N O 60 50 4O L 48 TOTAL MILLED RICE WET AND DRY SEASON —k l. ——1 FT " Y = 37.1 7+1 7.38LN X -n 1 =-1 1 3.72+14.1 2X-O.23X2 -._'e__ HEAD RICE (DRY SEASON) ’ Y=-68+1 0.1 2X-O.1 5X2 \ L SEASON) -..- I"- HEAD RICE (WET ~4 -...‘ L——————1 \ 4n" " -- 3‘“ 3 V / I . ‘3 WET SEASON / ”i -___, " SUNDRIED HEADRICE 1’ —-_ w I e .L I g I may SEASON a ¢ 1 _ d SUNDRIED HEADRICE I I l 1 g 1 l 1 1 l l DRY SEASON % Mo 22 20 1 8 WET SLEASON % Mo 22 21 1a 1 l L 1 1 1 I 1 1 l L 1 l 20 24 28 30 32 34 36 38 40 DAYS AFTER HEADING FIGURE 3.3 RELATIONSHIP BETWEEN DAYS AFTER HEADING AND HEAD RICE PERCENTAGE FROM NANGJU AND DE DETI'A (197D) 49 percentage of 70-89 ripe grains and sixty percent used a percentage of 90-100 ripe grains. Although most harvested at maturity, 5 percent delayed up to 10 days after maturity and a few advanced the harvest 1 to 10 days before maturity. In the simulation normal distribution was used with the mean being the Optimum harvest date. 3.2.1.2. Delay in Drying Rapusas, et al. (1978) found that the quality of paddy deteriorated with delays in drying. This study was conducted during both the dry and wet harvesting seasons of 1976 and 1977 in the Grain Processing Laboratory of the University of the Philippines at Los Banos. The three study methods of handling paddy were: sack handling with 28 m3/min.-ton aeration, bulk handling with 35m3/HUJn-ton aeration, and sack handling without aeration treatment. The three rice varieties tested for both seasons included IR-26, IR-32 and IR-38. m Season Results Based on the percentage of damaged kernels in milled rice as the controlling factor, non-aerated paddy was stored from 1 to 3 days before drying without loss in grade. .Bowever, when delay in drying was prolonged to 15 days, the recovered milled rice had deteriorated to sample 50 grade. The paddy in sacks aerated at an airflow rate of 23m3/ndJn-ton was held after threshing up to 9 days prior to drying. At an airflow rate of 35m3/min.-ton applied on paddy handled in bulk, the safe period of drying delay was extended up to 2 weeks. Laboratory milling of paddy samples from all the handling treatments revealed a slight decrease in milling recovery because of drying delay, although paddy held without aeration (Figures 3.4 and 3.5) showed a faster rate of deterioration as delay increased. Aerated paddy in bulk and in sacks gave an almost uniform milling recovery after 26 days of drying delay. At the same time a drop of less than 1 percent from the initial milling recovery was evident for paddy held without aeration treatment. Head rice yields of aerated paddy in bulk and in sacks were higher than those obtained from non-aerated paddy at any period of drying delay. This can be attributed to the presence of being fewer damaged kernels which break easily during milling. Paddy aerated at an airflow rate of 35m3/udJn-ton gave better head rice yields than those aerated at 28m3/minudxnn Neither airflow rate maintained the initial head rice yield obtained when paddy was dried immediately, however. 51 42b 2 dunno; can Sign on 625%: Ea: EImZOFSmm moi a<..mo 62;»:— Nn mm «a cm or up m if}; i1 .5 : ..... . . «T- -..-.-- ,_ ._ 4 iii- 12..-: .- .. . hull.- filIl- . rmylvr/ zomco\ mm 00—. WRWIXVW :IO .LNSOHEd BOIH OVEH 52 on Awnmav.~m no mmmsmmm scam .mwsmcofiumfion mfiocnox cohodoomwp pzm xm~op mcfixpo m.m onsmfim m>ma mm mm em 8 2 2 m o . 2093.53.11. \ a :2 \ x.\ s o A. s ,zom¢n/, _\ m . \V q A? «T. a O .1 \ \ \ S'I O'I 52°C 1 N 3 D H 3 d S 1 3 N H 3 X G 3 H O 1 O 3 S I 0 0'2 5'2 0'2 53 Het.fieason.Besults Aerated paddy held in sacks and in bulk showed no lowering of grade based on the percentage of kernels for a drying delay of 2 or 3 days after wet season harvests. After ten days, however, a decrease in milling recovery was experienced in paddy no matter how stored. With aeration, however, smaller reduction in milling recovery was experienced. Paddy stored without aeration for the ten-day period yielded a four percent decrease in milling recovery as compared to aerated paddy. Smaller decrease of milling recovery was observed for paddy aerated with 28m3/minu4xnu followed by the paddy with 35m3/min.-ton. For 10 days drying delay, there was a 4 percent drop in milling recovery of paddy stored without aeration as compared to the initial milling recovery of aerated paddy that was dried immediately after threshing. The milling recovery of aerated paddy either in sacks or in bulk dropped by about 2 percent from the initial milling recovery of 66.8 percent for a 10-day drying delay. With non-aerated paddy there was a rapid decrease in head rice yield as drying was delayed 10 days. This reflected the rapid increase in damaged kernels which are prone to break during milling. After a two-day delay in drying there was already a drop in head rice of 4~6 percent from the initial head rice recovery of 84.6 percent. 54 The graphs on Figures 3.3, 3.4 and 3.5 were incorporated in the simulation by the use of a "straight- line approximation" method discussed in Section.2.8. The drying delay was generated by the computer in accordance with the probability distribution shown in Figure 3.40. 3.2.1.3 Moisture Content at Milling Ongkingco, et a1. (1964) reported that there was a direct correlation between moisture content and milling recovery. Tables Kl to K8 in Appendix K show the milling recovery of samples milled one day after drying and at storage periods of one month, two months and three months after drying. The milling recovery for rice stored at moisture contents of 13 to 14.5 percent was the highest at the one-month milling date. After this there was a gradual decrease in milling recovery. In the fourth and last milling, the recovery increased again but to a lower value than in the first milling. This variation in milling recovery was attributed to variation in moisture content of the grain at milling which in turn was attributed to prevailing weather conditions. Eriyatno (1979) presented a mill conversion curve (Figure 3.6)‘which has a mathematical relationship between rough rice moisture content and mill conversion as follows: HEAD RICE, CRHEAD I IN PERCENTS OF ROUGH RICE) 50 55 ‘0 ‘6' A ‘ ‘ ‘ A A / CRHEAD- -0.288790 + 13.715072 mama —123970912 'RRMC"2 9 257.995278'RRMC”3 cnanox- 1.297751-2542162raamc ' +181.129922'RRMC"2 ~392976423' RRMC"3 E O 13318 H9008 :IO smaouad NI I )IOUBUD .3318 NBXOUB .0 "I 10 'IO 15 MOISTURE CONTENT. WET BASIS (IN PERCENT) Figure 3.6 Milling Yield Curve from Eriyatno (1979) 20 56 CRHEAD = -0.28879 + 18.715072 x RRMC - 123.970912 x RRMCZ + 257.996278 x RRMC3 where CRHEAD = percentage of head rice, in percent of rough rice RRMC = rough rice moisture content, percent wet basis Paras (1976) measured grain rigidityl/ at different moisture contents (Figures 3.7, 3.8, 3.9 and 3.10). A graph of the relationship is presented in Figure 3.11. Rigidity may be converted to pressure by dividing the rigidity in kilograms by the cross-sectional area of the plunger on the rigidity tester. Sang Ha No (1976) presented a characteristic curve for a whitening machine showing the relationship between head rice recovery and radial pressure (Figure 3.12). In this figure, the capacity scale of the lower horizontal axis was developed using the linear relationship which exists between average grain radial pressure and machine capacity. The head rice recovery-radial pressure (H-Pr) curve constitutes the upper scale of the horizontal axis showing radial pressure and the left-hand vertical axis showing head rice recovery; The capacity-electric power consumption (C-EC) curve involves the horizontal axis ---------------------------------------q-------------------- l/Rigidity is the hardness in kilograms of a grain kernel measured by a tester consisting of a plunger with a 5 mm. diameter. 57 Figure 3.7. Rough rice at different moisture contents was collected during a drying run using a flatbed mechanical drier. Figure 3.8. Moisture content of samples were measured using a capa- citance moisture meter. Figure 3.9. The rough rice grain sample was dehulled by hand. 6O Figure 3.10. Pressure was applied on the grain until it cracked and the fOrce and pressure recorded. A total of 50 grains at each moisture content level was tested. Newton RPGHHTY(RL 0.11 0.09 .08 .07 .05 .03 .02 .01 61 210 200 190 180 170 180 150 140 130 120 R = 1 8.23 - 0.63 MC r2=o.97 no 100 8 GRAIN PRESSURE(PL 8 8 8 13 . 14 15 18 17 18 19 20 21 22 GRAIN MOISTURE CONTENT, % W.B. M.C. Figure 3.11 Grain Moisture Content VS Rigidity All information where the source is not noted were gathered by the author for this dissertation. Pa 62 .osflzoms wswcouwzz does pom .Aosmev oz a: mcmm scum o>aso ofipmfisopomhmzo Hmofiuwmso :< NH.m mesmHm o fl 0» .A.Ag\mxv .weHoemao mzezuez .1 4 d d J a A _ 3 com cos com com 004 00m oom ooa as .Awaoxmi $335 .232 megs: oo.m ms.m omnm m~.~ oo.~ ms.a cm.H mm.a oo.a _ v1 _ .IH )A r I 8 k N O Q . d/j O flu O 0 Ar . . m 356an A m. Stan o a o / hum ' I k 3. III _ i. WW Ixrx p . _ [/w H m (All _ owns: m. / 1 H» “U m. m If. // . l/i _ assapqo no III III _ we [/4 //_ 7- .. - «we II: (- fllllIw 1/777L / m All] . 1— III I I f P [III .HIIIIIi/IIP LWI.oIIii: mm 1:17;: _ -7- R It: 1: TI - I IT IIII IIIII IIII I m2 we 33.035320 .- 33; _ . q E! 53 ER 53 335 O Q 8 x.‘(srsva 3018 Mucus) XHSAODHH 3213 even ruse 63 (capacity) and the right hand vertical axis (power consumption). The dotted lines along the H-Pr curve show the variation caused by differences in cylinder speed, screen type and counterpressure. The general characteristic curve shows that when internal radial pressure is maintained at a low level, head rice recovery will be high but machine capacity will be limited and energy consumption per unit of output will be high. In contrast, if radial pressure increases beyond the optimal range noted on the chart, a sharp decrease in head rice recovery occurs without any significant increase in power consumption efficiency or machine efficiency. Therefore, to ensure high machine and milling efficiency, it is important to maintain the pressure inside the whitening chamber within the optimal range by controlling the feed rate and the counterpressure during milling operation. The four relationships presented by Ongkingco, Eriyatno, Paras and Sang Ha No are in close agreement with each other in that they show that as the grain moisture content reaches 15 percent or a pressure of 1.75 kg. per cm.2, the head rice recovery starts decreasing. 64 The milling yield by Eriyatno was adOpted by the author for predicting head rice yields in the simulation model. 3.3 min shape Refinements The various rice varieties differ in their grain shape (length-width ratio) and hardness. The first prOperty could be easily measured using the FAO recommended method. The second property is affected by other variables such as: moisture content, fertilization and delay in dryingyl/ Due to lack of information and also the difficulty involved in segregating these effects, this author decided not to include variation of grain hardness (due to variety) in the analysis. Figure 3.13 shows the relationship between grain shape and head rice. The grain shape ratio was obtained by dividing the length of a brown rice kernel by the widthMZ/ Grains with a ratio of l to 2 are classified as round shape, those with a ratio of 2.1 to 3 are bold and those with a ratio of 3.1 to 4 are slender. The varieties grown in the Philippines are either bold or slender. Two l/See works of Eriyatno (1979), Nangju and De Datta (1970) and Ongkingco, et al. (196 4). g/See Appendix J for actual values. 6S $320333 8: 9a: 32 05.2 mafia 535 .24. 35o: AoHeea mm<=mv oHeae =99H3\=aozms or. m.m 9m m.~ o.~ m4. 0; To h u q + P d 4 fl amazmsm limit. 38 azaom (Ir 4. mm: 2: fl 9%:- l 5.. o on :5 .b on: . l m r o, «in: . O mmoamflfiz NS: 0 NB.O .II. NH 3-2.2: n > I . ouanflx< g 0?... on ma. om mm om mm an: insane; ‘3013 (was 66' Japonica (round shape) varieties grown in Korea were plotted on the graph for comparison purposes. 3.4 Wfimmmmmmmm Energy consumption and milling time were the two other performance criteria measured for the model. To measure energy consumption and milling time, it was necessary to monitor the following electrically driven conventional disc-cone mills: l. Mindanao Progress Corporation, Quezon City (6.25 tons per hour). 2. Tobacco Industries of the Philippines, Valenzuela, Bulacan (2.5 tons per hours). 3. U.P.L.B., Los Banos, Laguna (1.0 ton per hour). 3.4.1 Methodology The input paddy which was supplied by the National Grains Authority (NGA) was first weighed in bags. The weight of the empty bags was then subtracted from this gross weight to get the net weight of paddy; One observer was then posted at each machine component and at a predetermined time, the rice mill was started. The observers (whose watches were synchronized) then noted the time of entry and exit of paddy or rice as the case may be. Voltages, amperages, power factors and efficiencies were noted at each electric motor at three different times using 67 clamp-on (induction) testers during the milling operation (Figure 3.14). The time at which each component was shut down was also noted by the observers. 3.4.2 Analysis of Results The total milling time then was the time from the start-up of the mill to the shut—down of the last component. This was equivalent to the operating time of the last machine component plus the delays before the paddy reached the last machine component. In the computer model, the total milling time was obtained by adding all the different delays plus the operating time of the last machine component. The delays were calculated by dividing one-half of the capacity of the feeder bins by the handling rate of the machine component immediately ahead of it. The time measurement data obtained in the milling operation in the three rice mills were used for validating the computer results. Figures L1 and L2 in Appendix L show the results of the time measurements. It was learned that the practice of waiting for the feeder bins to be half-full increases the time delay between two batches of paddy. It took almost an hour (53 minutes) for the rice to travel from the intake to the output in the 2.5 ton-per-hour locally made mill. It took only seven minutes for the imported 6.25- ton-per-hour mill because of the smaller bins. 68 Figure 3.14 Measurement of voltage and current of motors during a milling run. Some motors were inaccessible and must be measured at the control panel. 69 Figure 3.15. Motor nameplate data were noted as to the power factor and efficiency ratings. 70 The energy consumption was computed by the following formulas: Power (kw) = Current (I) x Voltage (V) x Power Factorl/ x EfficiencyZ/ Energy Consumed (kw-hr) = Power (kw) x Processing A Time (hr) Current, voltage, power factor, efficiency and time came from measurements on each machine component. The total energy was the sum of the energy consumption of each individual machine component. Appendix Table A1 shows the results of these measurements and computations. 3.4.3 Discussion of the Different Machine Components Figure 3.16 shows a double-sieve precleaner which is commonly used in Philippine rice mills. The large-mesh upper sieve performs a 'scalping' operation which is the removal of straws and other large impurities by allowing the smaller grains to pass through. The lower fine-mesh sieve performs a ”screening" action which is the removal of smaller impurities such as sand by allowing them to pass through the sieve opening. The sieve assembly was mounted l/Power factor of the electric motor is the cosine function of the phase angle or the ratio of resistance to impedance. Z/Efficiency of the electric motor in converting electrical energy into mechanical energy. 71 A - Input paddy Figure 3.16 Double 7f // / / / 7 ff/ff/ fr/ 7r/ 7///I//7//‘/7,. ___|_..'.L_ 0qro--0-.-- B I 1311 ,L rm ._ r '7 ”l I m T-—_W : as: - l 1:: : 33t:::::::i :2“ I I? I :1! : :ii . . ::: ! l” ___..a L‘T'] Lm '; [HF_‘ 3 c l - Large mesh sieve B - Large 2 - Fine mesh sieve C - Fine sieve precleaner impurities impurities D - Clean paddy 72 on flexible wooden legs and driven in a reciprocating motion by an eccentric mechanism. Figure 3.17 shows a single-drum precleaner used in Japanese mills. It operates on principles similar to the double sieve except for the addition of a suction blower which eliminates fine dust and a scalping drum which eliminates large impurities. The power requirements of these two types of precleaners are shown in Figure 3.18. The double-sieve precleaner has a lower power consumption but has the disadvantage of creating a very dusty Operating condition. The single-drum precleaner eliminates this problem by blowing the dust through exhaust pipes and out of the mill building. The disc huller (Figure 3.19) consists of two cast- iron discs partly coated with an abrasive emery layer. The top disc is fixed in the frame housing while the bottom disc is driven by a belt pulley. The paddy is driven centrifugally between the discs and approximately sixty percent of the paddy is dehulled by the friction and pressure between the discs and grains. The rubber-roll huller was developed in order to provide a huller that does not damage the second protective layer (pericarp) of the kernel (Figure 3.20). This is advantageous in that transporting and storage of brown rice greatly reduces the space requirement. The rubber-roll O‘U‘lAuNb—l n 73 Vibrating comb Dispersing plate Feeding roll Regulating valve Rotating rubber wing Moving rubber brush Figure mmcnou> 3.17 Single drum Input paddy Large impurities Dust Medium size impurities Sand, soil, etc. Clean paddy precleaner 74 12 11 .5 O Y=1fl4XQ8 (JAPANESE) fl=032 W/ / if / POWER REQUIREMENT, HORSEPOWER N 6 /7 5 // V// , / Ti 4 K/ : / .AK‘: ? .J ; 3 / “ \I=o.61x°-86 A; / (PHILIPPINES) ‘ 2._41_‘/// R=1b 1 /U o 2 4 e a 10 12 14 16 CAPACITY, TON S PER HOUR FIGURE 3.18 PRECLEANER CAPACITY AND POWER REQUIREMENT. 7.0 6.0 6.0 5.0 4.0 3.0 2.0 1.0 POWER REQUIREMENT, KWATI'S .n UIBJF‘ @mVOU‘I 75 Input paddy tube 10 Paddy tube adjustment 11 Paddy spreader 12 Fixed disc level adjus- 13 ting screw 14 Fixed disc emery 15 Revolving disc emery 16 Fixed disc cast iron frame17 Outlet tube 18 Huller frame Figure 3.19 Disc - Huller stand - Huller base - Revolving disc drive shaft - Upper bearing — Drive belt - Drive pulley - Lower thrust bearing - Disc clearance adjusting wheel - Adjustment bar huller ’m/ x 2: kMNI—I Figure Feed shutter Feeding roll Regulating valve Stationary roll - Rubber plate - Aspirator - Outlet for rice — Screw conveyor for unripe grain LOCKING 3.20 Schematic diagram of a rubber roll huller 77 huller consists of two rubber rolls, one of which has a fixed position and the other has an adjustable position that enables the desired clearance between the two rolls to be fixed. The rolls are mechanically driven in opposite directions. The adjustable roller turns at a speed 25 percent lower than the fixed roller. The paddy passes through the gap between the rolls and is twisted and dehulled. The resiliency of the rubber roll provides some tolerance for variation in grain sizes and its smoothness eliminates abrasion to the pericarp. The relationship between hulling capacity and hulling time is shown in Figure 3.21. Different grain types, iJL, short, medium and long, have different hulling times. The power requirement for these hullers is shown in Figure 3.22. The separation of broken brown rice and coarse bran (damaged pericarp) after hulling provides additional income to the rice mill. Otherwise, the broken brown rice would be blown out of the mill in the husk aspiration process. Figure13.23 shows a V-type sifter commonly employed in Philippine mills for this purpose. It operates on the "screening" principle and is oscillated by an eccentric drive. The power requirement is shown in Figure 3.24. Due to the lack of individually driven and electrically powered machines in the Philippines, there are only three actual data points available. However, the HULLING TlME,HRS/TON 78 . ‘ MEDIU y=5.04¢:‘1 '5“ LONG F5.898'1 .76X 11i— \ FR \\ CAPACITY.TONS/HR. Figure 3.21 Huller Capacity VS Hulling Time 1.1 POWER REQUIREMENT, H.P. 14 13 12 11 10 79 —.—-—J—-— -—- p-.. -— i- u. “+— 1-- -4 - __ "T 7” CAPACITY, TONS PER HOUR FIGURE 3.22 l-IULLER CAPACITY AND POWER REQUIREMENT RELATIONSHIP 11 ‘10 POWER REQUIREMENTS, KWATTS 80 Figure 3.23 V—type Sifter 81 SLLVMX ‘lNSWHUInOBH UBMOd m6 O; n; O.N m.« 0.” m6 hzufimmscmm mmgca 02¢ >.P_U cu.” mane.“— mDOI mma m 20... .>._._UHmmhnm mo cofiuoomsmmoku mm.m ohsmfim o>~m> wcwumfizwoh 30am : m ummzm soadoz . v amp oocmumwmom : HH Hopuzzm . n Ho>oo new I m oocanmoau . OH bongo: Hoacm u o youaon zouom :OHH : N mamas oocmumfimon uofipso . m Hopcflgxo ~ooum pounpomnod u m hoHHoH o>meHn< - H uoflao 33m 3 m uoBoam A3 93 6:209: mcflcougz 2&3 .5309 cofioflhm m .«o coauoow mm.m 0.33m . uoficH - o . on: goo; - m coouom 3on Hmcommxo: noumnomuom .y m .833 30.3w so: I N H ummgm season - v HoHHoa ”amass: . E V E be. 94 The assembly is enclosed by a perforated-steel cylinder with three equally spaced bars with resistance pieces (similar in purpose to the rubber brakes of the cone whitener). The horizontal jet friction whitener is a result of several improvements on the Engleberg mill. These improvements include position of the outlet, adjustable weighted outlet and air jet which blows off the bran and cools the milled rice. Figures 3.34 and 3.35, respectively, show the whitening time and power requirement of the different whiteners discussed. The next operation is the removal of brewer‘s and small brokens from the milled rice. This is accomplished by the use of an oscillating sieve (Figure 3.36) using the screening principle. The t0p sieve consists of a single screen which allows the smaller particles to pass through the lower compartment. The oscillating motion of the sieve speeds up the process. The sieve in the middle consists of two screens of different sizes and also works on the "screening" principle allowing the smaller particles to pass through the bottom compartment. This arrangement results in three sizes of grain particles, namely, whole or head grain, large broken and small broken. The bottom system consists of two sieves of single screen each and produces three sizes of product. Any number of grain sizes HRS/TON’ WHITENING TIME, 3.5 3.0 2.5 2.0 1.5 1.0 0.5 95 F LONG GRAIN I y = 7.320 '2-1 1 " MEDIUM GRAIN I ya 6.74e°2.14x I SHORT GRAIN .4 y -_-.- 6.089-‘2'1 4X fl=039 ' o . o i y i I I 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.3 0.9 CAPACITY, TONS/HR. Figure 3.34 Cone Whitener Capacity VS Whitening Time HORSEPOWER PER UNIT POWER REQUIREMENT 14 12 .0 O 96 / g I I -I f i Z ,3 ‘ I i I I l I I i g I ;L . I a I l . 0.62 . - c _ v = 1.23x ' (CYLINDER) I r2 = .97 / i 0.41 Y = 1 3x (FRICTION) l r2=1.0 4 1 2 3 4 CAPACITY, TONS PER HOUR (RICEMILL CAPACITY FOR CONE TYPE) FIGURE 3.35 WHITENER CAPACITY AND POWER REQUIRED 1O POWER REQUIREMENT, KWATI'S 98 could be separated by the use of different sieve sizes. The power requirement is on Figure 3.37. 3.5 Distribution W 91 Inmu: Raddy More The distribution function of paddy purity and moisture content is determined using the Chi-square goodness-of-fit test (Appendix D). The frequency graphs of these two variables are shown in Figures 3.38 and 3.39. These two variables plus the harvesting data were generated using a table look-up function (Appendix B) in conjunction with the cumulative normal distribution function and a computer built-in random number generator. A table look-up function is one of the computer subroutines specifically designed for simulation work. In some situations, one system variable is to be causally related to another and either an explicit mathematical function is not known or one cannot be reasonably assumed. More details are in Appendix B. Physical damage, iae., cracking and chemical (fermentation) are affected by drying delay. Drying delay was defined as the number of days from harvesting to drying of paddy at equilibrium moisture content. It was assumed that the delay was the same for sun drying and mechanical drying. Drying delay is caused by three successive delays, cutting, hauling and threshing. It was simulated by a third order gamma distribution function. The actual 99 SLLVM)! ‘lNEWSUIROEH UBMOd ad a? m; 0.u . m.« 0.6 md 0953me "Egon. 02< >.—._O r- I .. I I - - .i I I I0Im......m«.m.U CW2 02.502000 . 4. 20.5000... 4.5.... a 0000 52020 .25 20.30: \ x/ 0...“. 0» >500 .05..» _- I I I I . .- .. I .I .J .- .22. 05.2200 .20: 20.52000 20.55000 >005. . 52000 02.50.60,... .- I L .J . II A, 20025.. I, I . 02.500000 0205.24.50 20.2.2050 05:. I a I . 20.020520 020.5500 zo_5N_._<_.:z. 205500... 2002 w .I-...--.--.-.L. A 550 v .LHOHS 103a C c“;- D DETERMINE A RANDOM VALUE FROM BUILT-IN COMPUTER FUNC. { COMPUTE THE DIFFERENCE BETWEEN THE INDEPENDENT ARGUMENT (VARIABLE) AND THE SMALLEST VALUE OF THE INDEPENDENT ARGUMENT 1 DUM = Yqb- SMALL NO DUM=OI V DUM=(K-1)*DFI I=1 + DUM/DIFF IS =K NO 7 YES I=K-‘I XBAL = F¢ (Z) + ( (FQD (2+1) - F¢(Z) I/DFI) * (DUM - (FlX(Z-1) ) - DFI (-1...) Figure 3.42 Flow chart of subroutine RANDOM. Subroutine TAB is similarto the above chart except for the absence of the first block. XCAL= -LOG (TD) / (FIX( Q1 /51 ) I- < RETURN ) Figure 3.43 Flow chart of subroutine GAMMA. 104 performance of the huller varied also with grain type, i.e., short, medium or long. The next operation was coarse bran separation. Coarse bran has some monetary value so it was separated before passing the material to the husk aspirator. After the husk aspiration process, the mixture of paddy and brown rice is passed to a separator. The performance of the separator varies again with the grain type. The next step, whitening of the brown rice, was done in series whiteners. The number of whiteners varied from 1 to 6 depending on the size and type of mill. The final step was the grading operation where brewer's rice was separated from the mixture of broken and head rice. The quality indexl/ was computed in the grading operation. The index is the product of four indices: (1) moisture content at milling, (2) harvesting delay, (3) grain shape and (4) drying delay. The quality of paddy index includes the head rice recovery percentage from the milling operation. Other variables computed were total run time, rice output, recovery, head rice, discolored kernels and total energy used in the operation. l/This is similar to Steelefls multiplier used to obtain dry matter loss in corn deterioration. See the work of Steele, et al. (1969). program 105 3.7 Anfixamnlscfmmnsethemssnill WM]. The data that the model user must input into the (lines 175 to 181) in Appendix E are as follows: Nwmber of Replication (R) = 1 to 100 Paddy Cleaner Capacity (PCAP) = 0.33 to 1.83 tons per hour Huller Bin Capacity (HBIN) = 0.0069 m3 Whitener Bin Capacity (WBIN) = 0.009 m3 giddy Separator Bin Capacity (PBIN) = 0.0089 Rice Mill Capacity (RCAP) = 0.33 to 0.83 tons per hour Number of Paddy Cleaner (CPN) = 1.0 Separator Capacity (SCAP) = 0.495 to 1.98 tons per hour Number of Whitener (NW) = l or 2 Whitener Capacity (WCAP) = 0.255 to 0.731 ton per hour Huller Type (HT): Disc or Rubber Roller Whitener Type (WT): Cone or cylindrical Drying Method (DM): Sun or mechanical Paddy Huller Capacity (PHCAP) = 0.294 to 1.83 tons per hour Number of Paddy Huller (HNP) = l or 2 Grain Shape (GS) = 1.0 to 4.0 Input Paddy Mass (I) = any mass, say 10.0 tons Separator Type (ST): Fixed or adjustable 106 8. Grain Type (GT): Short, medium and long t. Growing Season (SEAS): Wet or Dry u. Sifter Bin Capacity (SFBIN) = 0.077 m3 Once all the above information is typed into the statements in lines 175 to 181 of the computer program, the rice mill performance model is ready for a simulation run. In the TRS-80, this is done by typing in "RUN" and pressing the input button. The computer then prints or displays the results as in Table 3.1. The first column gives the time in hours it took the rice mill to process 10 tons of paddy and the second column is the output in tons of milled rice. Column three is the head rice recovery based on clean paddy. It is obtained by dividing column two by the weight of paddy after the precleaner. The fourth column gives the head rice recovery which is based on the total milled rice recovered. Column five gives the percentage of discolored or fermented grain. The last column gives the energy in kilowatt-hours that was used in the rice milling Operation. Different combinations of equipment such as disc huller-cone whitener-fixed separator or rubber roll huller- cone whitener-adjustable separator, etc. may be used. The bin capacities may also be changed to vary delay times. The number of equipment may also be changed such as from 107 .000800 00003 00 00000000500m on 050 00000 0000000009.! «#03 umfimm «Umxfih “9m .va.o n mmomm .mmN.o u m403 0H n 32 ummv.o u m¢Um 0mm.o n m¢UUm umm.o u mflum \0 .00\000 0000.0 1 .000 .200 .00\:0u 00.0 n .000 .>00 00.000 00.0 00.00 00.00 00.0 00.00 000000 00.000 00.0 00.00 00.00 00.0 00.00 000>0 00.000 00.0 00.00 00.00 00.0 00.00 00.000 00.0 00.00 00.00 00.0 00.00 00.000 00.0 00.00 00.00 00.0 00.00 00.000 00.0 00.00 00.00 00.0 00.00 00.000 00.0 00.00 00.00 00.0 00.00 00.000 00.0 00.00 00.00 00.0 00.00 00.000 00.0 00.00 00.00 00.0 00.00 00.000 00.0 00.00 00.00 00.0 0.00 00.000 00.0 00.00 00.00 00.0 00.00 00.000 00.0 00.00 00.00 00.0 00.00 c mHSI-g U. C .H mach—.— 0 WM: >0000m \momfln 000: >oomm usmuso 0509 000000 «COO "B3 .0009 "B: 0H "92: «25m «20 Auaon\0:ou :0 0000 usde 0 .oz 0009 0002 0000 0000000000 00 0000000 0.0 00000 108 double parallel to single huller. Growing season, grain type, grain shape and drying method may also be changed. CHAPTER IV LINEAR NETWORK ECONOMIC MODEL The linear network economic model was developed to evaluate the cost of milling rice over a range of capacities. The model takes into account the differences in the amount of by-product produced by each mill. For example, the Engleberg type steel hullers produce large amounts of bran, powdered husks and brewer‘s rice which have some economic value. To compare such a mill with a rubber- roll mill in terms of rice output alone would be biased as to by-product values. To evaluate the milling system's cost of operation over a range of capacities, the system was analysed as a set of components described in terms of their mass-energy characteristics. The components of a rice mill are of two types, material transformation and transportation components. A material transformation is conversion of the input material into an output product. The transformations are performed by the application of processing energy which is non-linear. Transportation components incur a movement material transfer energy cost. 109 110 4.1 .Theorx.9f Linear Netnork.£cgn9mis.nodel Linear network economic modeling utilizes Electrical Network Theory and the Principle of Energy Conservation. Electrical Network Theory was developed from Kirchoff's Circuit Laws, namely, Kirchoff's Current Law and Kirchoff's Voltage Law. This approach was used by Holtman, et al. in 1972 in the analysis of a poultry farm, and the following year Hughes applied it to the analysis of beef production systems in Michigan. The latter model was also applied to a dairy farm and later to a field crOp production system. 4.1.1 Kirchoff's Circuit Laws These laws could be best explained by an illustration. Consider an electrical circuit consisting of two resistors, l and 2, and a battery as shown in Figure 401a. Kirchoff's Current Law states that the sum of all currents flowing into a junction is zero. Applying this rule to junction 0 in the figure, the symbols i1 and 12 refer to the current passing through resistors R1 and R2 and the symbol 13 refers to the current through battery Bl- i1 + 12 - i3 = 0 i3 = 11 + i2 111 é ”33$ .2 .52; ~14? .0 loop i?¥¥L\ R1 6) loop (a) (b) Figure 4.1 Example circuit and its linear network. 0 .1 3; 2 _ l _ (a) Figure 4.2 Modified circuit and its linear network. 112 The result is obvious to the reader from the figure by inspection. Kirchoff‘s‘Voltage Law on the other hand states that the sum of voltages around a closed loop equals zero. Applying this rule to 100ps l, 2 and 3 in Figure 4.1a: 0 0 loop 3: V1 - v2 loop 2: V3 + V2 loop 1: V3 + V1 = 0 Again, the results are seen to be correct by inspection. Figure 4.1a could be transformed into another form called linear network shown in Figure 4.lb. The circuit equations could be written for this network using Kirchoff's Laws. For large and complicated networks, a slight modification of the circuit is necessary. Consider again the circuit in Figure 401a. The circuit could be redrawn as shown in Figure 4.2a. This time the bottom leg of the circuit was replaced by a common ground. The linear network could be drawn as shown in Figure 402b. All grounded ends of linkages are marked by a letter R which stands for reference. A ground or reference point means that all potentials are at the same level. Kirchoff's Circuit Laws are still applicable to this form of the circuit and the linear network and would give the same results except that when the voltages are added, linkages must be selected that end in a reference point to make sure 113 that a 100p is completed. Also, the reader is not supposed to go over a reference point when summing voltages in situations where another linkage is attached to the reference point. Additional discussion of the details of this method is provided in the procedure of the development of this model. In applying linear network analysis to economic models, electrical currents become flow rates of materials and electric potentials (measured with respect to a reference point) become energy costs. This analogy is applicable to transport and material storage operations. These two operations could be modeled by resistors and 'capacitors in electrical network theory. It should be observed that the existence of electrical analogs for the transport and storage processes did not imply the existence of every economic and ecological component or system. On the contrary, there are no electrical analogs to material transformation processes. Thus it is necessary to use the Principle of Energy Conservation in the analysis of material transformation processes. This principle states that the sum of all energy input to a process equals the sum of all the energy output. The production processes in the physical and agricultural industries represent a sequence of transformations of the structural state of materials to 114 achieve a well-defined physical, chemical, biological or technological form. Each such transformation can be abstracted as a material input-output process characterizable by a model as shown in Figure 403 for three input materials, one useful product and one by-product. In this model, the Y1, i = l, 2, ..., 5, represents the flow rates of the five materials. A coefficient K, characterizing the transformation, is introduced here in writing the equations. This coefficient has a variety of specific interpretations, depending on the level of analysis. For example, if the transformation is associated with a firm, industry or geographic region, then it is called the "technological coefficients of production." On the other hand, in other analyses they may be used to characterize the composition of the output material in terms of the inputs and by—products. In the former association, changes in the coefficient K reflect changes in the technology of production. However, in the latter case they are unique to the particular product Y5- Applying the conservation of energy principle to the process in Figure 4.3, we have: Output energy + energy of the inputs + energy lost in the waste + processing energy = 0 01' 115 INPUT OUTPUT INPUT INPUT BY-PRODUCT Figure 4.3 A Typical Industrial Process 116 XSYS + (XlYl + X2Y2 + X3Y3 = X4Y4) = f(Y5)Y5 = 0 (A1) where f(Y5) is a function of Y5 and represents the processing energy per unit of output. Xi is the energy per unit of material Yi- Also, from the figure, we have the flow model equations: Y1 = Kle Y2 = K2Y5 Y3 = K3Y5 Y4 = K4Y5 where Ki = technical coefficient of proportionality for the particular material "i." Substituting these equations into A(l), x5 =4-K1X1 - K2x2 - K3X3 - K4X4 - f(Y5) or X5 =2 Kij - f (Y5) .=1 or 3 [X1] X5 = [K1K2K3K41 [X21 - f [X3] [x4] This cost equation constitutes a coordinated linear network and economic model of the transformation process. The matrix product to the right of the equality sign ~represent the energy costs involved in making the inputs available to the process and in removing the joint products 117 or "waste” from the process. In the context of a system design problem, Y5 represents the design capacity of the plant and f(Y5) denotes the variation in the processing costs associated with the scale of operation or design capacity. In the context of existing plant management problems, Y5 represents the level of output and f(Y5) denotes the variation of processing costs with the different levels of output. In both cases, this function represents precisely the economies of scale to the various forms of energy and monetary cost associated with volume rates of transformation process. These economies of scale are of central concern in assessing the ecological and sociological impact of modern technology. It is these economies of scale particularly with respect to labor that motivate much of the contemporary trend to high-volume geographically concentrated industrial production and highly specialized large-scale agricultural production with the attendant spatial concentration of people and wastes. 4.2 W 4.2.1 Energy Notations A notational scheme has been adopted for the formulation of component models (Figure 4.3%. Material flow rates of material "i" into or out of component "j" are denoted Yij (i.eq.‘Yij has units 0f quantity 0f 118 material per unit time). The amount of energy "m" associated with this material is denoted xmij (i.e., Xmij has units of quantity of energy "m" per unit quantity of material). The product xminij then denotes an energy flow rate. Associated with each material flow rate is a vector value that represents the monetary cost, capital outlay and the energy required to put a unit of the material into its current form and location. In this model, labor is formulated as an energy cost, rather than as a flow of services, and is considered as a nonrenewable resource along with solar and physical forms of energy. Land is a measure of the solar energy needed to produce a crop. Elements of the energy cost vector are denoted by xmij (Mnfl indicates the energy type) where: m = 1: capital ($) m = 2: human energy or labor (man-hours) m = 3: fossil energy (horsepower hours) m = 4: electrical energy (kilowatt-hours) m = 5: land (acres) or all the above could be replaced by: m = 6: dollar cost ($) Example: Xmij = X611 = P 1.00 per kg. (the cost of paddy) 119 Instead of using the several energy dimensions discussed above, the analysis could be simplified by an alternate measure, namely, cost per unit of material. The analysis, of course, is valid only for the prices and costs actually used. The unit dollar cost, x51j, of material "i" for component "j" is among other things a scalar function of the energy costs of the other five energy forms. The value 0f x61j depends on the relative availability of the five forms of energy and the preference society places on each of the input materials. The precleaner subsystem (Figure 404) input includes mixed dried paddy rice and impurities which are separated in the process. The flow model equation is: Yil = KilYOl i = 1' 2' 0.004 where Yil is the quantity of material ”i1" required or taken out to produce one unit of clean paddy. The OUtPUt Y01 determines the quantities of the other flows and is called the stimulus variable. The flows other than the stimulus variable are called response variables. The Kil's are the technical coefficients for the components. The conservation of energy principle requires that the net energy flow into the component plus the applied processing energy must equal zero. The expression: 120 DRIED PADDY CHAFF 1 SAND 1 1 v 41 21 31 01 CLEAN STRAW PADDY Pre-cleaner component - 1 Material - ij Clean paddy - O1 Dried paddy - 11 Sand -21 Straw - 31 Chaff 41 Y“: Kqu 1: 1 , 2, 4 4 "1:. m,m m=1,2,...5 ‘01 l__2_:'1Kux n 1'1 “01) FIGURE 4.4 DIAGRAM OF PRECLEANER COMPONENT PROCESS 121 Iil Kilxmil m = l, 2, ....6 is an accumulation of various energy forms 'm" in the input and output materials required to produce one ton of clean paddy. Processing costs include the cost of machinery, building, labor, fuel, taxes, depreciation, etc. The processing energy cost function is typically a non-linear function of the production level. The amount of processing energy 'm' required for one ton of clean paddy is: fm1(Y01) m = 1’ 2' .0006 Cost relation of the components is: .5 xm01 = 1:. Kilxmil - fml (Yov m = 1. 2. ----6 =1 In this particular analysis, the cost per unit of material, which is the economic measure of the energy level spent to place the material in its current form and location was utilized. The analysis is then, of course, valid only for the prices and the costs actually used. 4.2.1.1 Precleaner Component Applying the representation of a process in Figure 403 to the first rice milling component, the diagram of a precleaner component process is obtained as in Figure 4.4. 122 The input to the process is dried paddy and the output is dried paddy. The by-products are chaff, sand and straw. The flow model equation is: Ki]- : KilYOI i = 1' 2' 0.004 where Yil is the quantity of material "i1" required or taken out to produce one unit of clean paddy. 4.2.1.2 Huller Component For the huller component, the input is clean paddy‘ and the product is a mixture of brown rice, hull, broken rice, coarse bran and paddy mixture. The flow model equation is: Y12 = K12Y02 i = 1, 2 where Y12 is the quantity of material "12" required or taken out to produce one unit of a mixture of brown rice, hull, broken rice, coarse bran and paddy mixture. Figure 4.5 shows this component and the related equations. 4.2.1.3 Plansifter and Aspirator The next component after the huller is the plansifter and aspirator component. The input is the mixture of brown rice, hull, broken rice, coarse bran and paddy mixture; The output is a mixture of paddy, brown rice and hull. The by-products are brokens and coarse bran. The flow model equation is: 123 CLEAN PADDY. Y12 = K12Y02 x32 = K12x1“; ' Igwoz) BROWN RICE, HULL BROKEN RICE, COARSE BRAN AND PADDY MIXTURE Figure 4.5 Diagram of Huller Component Process 43 Y|3 = Klsyoa i = 1 , 2, .. 4 03 m 4 m PADDY, BROWN x03 = -£ K.3x,3 RICE & HULL =1 1 3 4:le03) 23 v m = 1 , 2, 6 BROKENS COARSE BRAN Figure 4.6 Diagram of Sifter Components Process 124 Yi3 = K13Y03 i = 1' 2' 3 where Yi3 is the quantity of material "i3" required to produce one unit of mixture. Figure 406 shows the component and the related equations. 4.2.1.4 Paddy Separator Component The next component, the paddy separator, separates the brown rice from the paddy. The flow model equation is: Yis = KisYos i = 1' 2 where YiS is the quantity of material "i5" required or taken out to produce one unit of brown rice. Figure 457 shows the component and the related equations. 4.2.1.5 First Stage Whitener Component The first stage whitening process has brown rice as input. The product consists of first-stage milled rice and the by-product is dark bran. Figures 4.8, 4.9 and 4.10 show the first-, second- and third-stage whitening process components and the related equations which are similar to previously discussed components. 4.2.1.6 Grader Component The last step in the rice milling process is the grading of milled rice. The input is third-stage milled BROWN RICE AND PADDY q 05 25 PADDY 12S YiS KisYos i= 1 , 2 2 x05 E, Kisxis BROWN RICE ‘ IT (Yos) FIGURE 4.7. DIAGRAM OF PADDY SEPARATOR COMPONENT PROCESS BROWN RICE 26 \/ 06 FIRST STAGE MILLED RICE Yi6 —_—_ Ki6Y06 DARK - = 2 BRAN ' L 2 X05 2 £1 KiG ' I? (Yoe) m = 1, 2 6 FIGURE 4.8 DIAGRAM OF FIRST STAGE WHITENER COMPONENT PROCESS 126 FIRST MILLED RICE (P 27 ‘1’ vi? = Ki7YO7 MEDIUM ' 2 BRAN 17 x07=1221kflxnd91 (YO?) ‘1’ 07 I = 1. 2 a m = 1, 2. . . .6 SECOND STAGE MILLED RICE FIGURE 4.9. DIAGRAM OF SECOND STAGE WHITENER COMPONENT PROCESS SECOND STAGE Vie z Kfives MILLED RICE X08 2 '1 2, KIBYIB ' It's“ (Yog) I I = 1, 2 ; 28 ‘i’ m ——~ 1, 2, 5 i 18 08 THIRD FINE STAGE BRAN MILLED RICE FIGURE 4.10 DIAGRAM OF THIRD STAGE WHITENER COMPONENT PROCESS 127 rice and the output is graded milled rice. The by-products are brewer's rice and polish. The flow model equation is: Yig = KigYog i = 1, 2, 3 ‘where Yi9 is the quantity of material "i9" required or taken out to produce one unit of graded milled rice. Figure 4.11 shows the component and the related equations. 4.2.1.7 Transport Component The transport components are the laborers, elevators, chutes and conveyor in the system. Since the same material flows into and out of a transport component and it is assumed that no losses are incurred: only transport energy costs need be considered. Figure 4.13 shows the location of the transport components. The cost models for the transportation components are: Elevator 1: XmlT = -fm1T(YlT) m = 1' 2' .0006 where fm1T(Y1T) is read as the function of YlT and represents the transport energy per unit of material. Elevator 2: xsz = -fm2T (YZT) m = 1' 2' .0006 Elevator 3: Xm3T = 'fm3T (Y3T) m = 1, 2, ....6 128 BREWERS Yi9 = KIQYOQ 1 9 i=1, 2, 3 39 29 3 MILLED _ .. > k a POLISH x09 “_ Z“KISYIQ' ‘3‘ (Yogi RICE |: 1 09 GRADED MILLED RICE FIGURE 4.11. DIAGRAM OF GRADER COMPONENT PROCESS BROWN RICE PADDY AND HULLS 2O 22 0 Yzo = Y22 = Y25Y05 x22 2 'Kzoxzo + f22 (Y22) FIGURE 4.12 DIAGRAM OF RETURN HULLER COMPONENT PROCESS 9 2 1 Ollun 1.20.05.00.03 _I_ a _ L000: 00000 00000000000288 0:00.003 0 mo Enwwa 00000000003 00.0.0 000M000 a aux-0...- 0:3 Inp§n UH! an 1.! 0 9». ...,». 1 Tb. 7 m neun>o0m WI) ago.“ '2! I lulu—3.- 888 :0: 3.. 3...! 0 I34! .uulu-Iol g 5.1-Eu. >81 E3 I; In»... I: g curb. H!- OH 0 I) .00.; wk»... / _ _ ...m .‘l 01.05.:- 0! .3030 lulu..- 2b., (dud‘Efl‘ I: (II. 3% (.11 . IhHHO (a; 0‘5 utop- n koam>o0m L N neun>00m 10 H koua>00m EN 130 Elevator 4: Xm4T = 'fm4T (Y4T) m = 1, 2, ....6 Elevator 5: meT = -fm5T (YST) m = 1' 2' .0006 Elevator 6: xm6T = -fmsm (YGT) m = 1, 2, ....6 Elevator 7: xm7T = -fm7T (Y7T) m = 1, 2, ....6 Elevator 9: xm9T = -fm9T (YgT) m = 1, 2, ....6 4.2.1.8 Return Huller Component The return huller component performs the hulling of paddy coming from the paddy separators. Figure 4012 shows the paddy as input and the mixture of brown rice and hulls as output. This component is needed because the efficiency of the primary hullers is only from 60 to 95 percent. The unhulled S to 40 percent paddy are dehulled in the return huller. The related equations are also shown in the figure. 4.2.1.9 Rice Milling System Economic Model The whole system is shown in Figure 4.14. The flow Ylo (milled rice) is the system stimulus variable. The 131 .3393 M00030: 0000. .0 ..00 0.90.5 00000.. 00.0 000M000 ‘I «02000:: 000:... . 00.00 0000 . 000... p00 :2 60.3.00 .— .0030: 5.00000. 0.0 00 . a . ...N .00de . 000000 0 0.00000. 00. a . . a“... .0 9. , .000: 00.05.. 000.0: 003.90: .. 0 .00 0.00. . .0200... 0“ 0.920200%. . . . 1 .AV ...0 1 mo b ”...,—hum 0000. 9.5.0.. . Raw . 00 00 0.0 00. . t No . 0.0.0.. 0.0.: 0.000. Imp—.00.: . ' . 0.00.0... 0. e 00 0. a: 0 L' .0 000: .. ‘ 132 following material flow relations are from Figures 4.4 through 4.12: Y11 = K11Y01 Y21 K21Y01 Y31 = K31Y01 K41Y01 *4 .5 g...- ll Y13 = K13Y03 Y23 = K23Y03 K14Y04 *4 5.: Q II K15Y05 |-< 5.: U1 ll Y16 = K16Y06 K17Y07 m H \1 ll Y18 = K18Y08 K19Y09 K: g... \D II K29Y09 m n: ‘o I! In order to complete the rice milling economic model of the system, the energy cost equations must be 133 derived. An energy cost, Xi, per unit of material is defined for each material flow. The energy costs are defined analogously to such intensive physical variables as voltage or velocity (ium, they are relative measures like elevation, electrical potential and gravity). Energy cost is measured at one point in the system relative to another. A material flow rate is associated with each of the oriented line segments such as 1, 1T and 11 segments (called edges). The vertices such as A in Figure 4.14 (edge endpoints) constitute the set of points at which energy cost evaluations are made for the linear graph in Figure 4.14. The decomposition of variables into stimulus and response subsets are made utilizing the notion of a tree of the linear graph. A tree of the linear graph is a subset of edges of the graph of maximal size such that the edges in the tree form no closed paths or circuits in the system graph. Those edges in heavy lines constitute a tree for the system graph of Figure 4.14. To facilitate computation, certain conventions have to be adopted. a. The per unit energy costs of each edge are defined positive at the tail of the arrow of that edge with respect to the narrow tip. Thus x§1 is the energy cost per unit of paddy at ver ex A minus the energy cost per unit of paddy at vertex B. b. All vertices "R" are reference vertices (analogous to an inertia reference or an electrical ground). Thus, the energy levels 134 of all materials are defined to be zero at IR.I c. Material flows towards a vertex are negative and flows outward are positive. The component interconnection pattern is mathematically described via application of continuity and compatibility laws to the linear system graph of Figure 4.14. The continuity law is analogous to Kirchoff's current law and states that: The.snm of flora into a xertsx.inot.includins.rsfsrence lattices). is zero. Thus we obtain: Y11 - YlT = 0 A(l) where Yll is the flow rate of dried paddy into the precleaner and YlT is the flow rate of paddy through the elevator "1T." Y12 - Y2T = 0 A(2) where le is the flow rate of brown rice, hull and paddy mixture to the sifter and YZT is the flow rate of brown rice mixture from the return huller. Y43 - Y02 - Yzo = 0 A(3) where Y43 is the flow rate of brown rice, hull and paddy mixture to the sifter, and Y02 is the flow rate of brown rice mixture from the return huller. 135 Y22 - Y4T = 0 A(4) where Y22 is the paddy flow rate to the return huller and Y“: the flow rate to elevator 4. Y4T - Y25 = 0 A(S) where Y25 is the flow rate of paddy from the separator. Y24 - Y3T = 0 A(G) where Y24 is the flow rate of brown rice and hull mixture to the aspirator. Y15 - Yo4 = 0 A(7) where YlS is the flow rate of brown rice and paddy to the separator and Y04 is the flow rate of brown rice and from the aspirator. Y26 - Y5T = 0 A(8) where Y26 is the flow rate of brown rice to the first whitener and YST is the flow through elevator number 5. Y27 - Yos = 0 A‘9’ where Y27 is the flow rate of milled rice to second whitener and Y06 is the flow rate of milled rice from the first whitener. 136 Y28 - Y7T = 0 A(10) where Y28 is the flow rate of milled rice to the third whitener and Y7T is the flow rate of milled rice through elevator number 7. Y39 - Yoa = 0 A(ll) where y39 is the flow rate of milled rice to the grader and Y03 is the flow rate of milled rice from the third whitener. Yog - YBT = 0 A(12) where Y09 is the flow rate of milled rice from the grader and Y5”! is the flow rate of milled rice through elevator number 8. Y12 - Y01 = 0 A(13) where Y12 is the flow rate of paddy and Y01 is the flow rate of paddy from the precleaner. Y24 - y03 = 0 A(l4) where Y24 is the flow rate of brown rice and hull mixture to the aspirator and Y03 is the flow rate of brown rice and hull mixture from the sifter. 137 where Y27 is the flow rate of milled rice to the second whitener and YGT is the flow rate of milled rice through elevator number 4 . Y28 - Yo7 = 0 A(16) where Y28 is the flow rate of milled rice to third whitener and Y07 is the flow rate of milled rice from the second whitener. Y25 - Y05 = o A(l7) where Y26 is the flow rate of brown rice to the first whitener and Y05 is the flow rate of brown rice from the separator. Ylo - Y9T = 0 A(18) where Ylo is the flow rate of milled rice to the rice mill outlet and YgT is the flow rate of milled rice through elevator number 9. The remaining portion of the graph equation was developed via application of the law of compatibility which is an analogy of Kirchoff's Voltage Law. Compatibility states that: 138 Juu:sumxofficrismdufiiensrschnstsnarQundsasflsuuuisxuuzof .gdgga‘ganiahesL For the path of edges IT and 11 of Figure 4.13, the following is obtained: x1 + X1T = x11 = 0 where X1 = unit peso cost of input paddy and Xij a unit peso cost of material "i” for component "j“ in Figure 4.14, recalling that all references to vertices are defined to be at the same energy level. X11. and x11 have the same sign because they have the same orientation in the path from R to R. The complete set of compatibility relation is: X1 + xlT + X11 = 0 3(1) X01 + x2T + x12 = 0 3(2) x02 + x43 = 0 8(3) X02 + x43 = 0 3(4) X03 + XBT + x24 = 0 3(5) x04 + x25 = 0 3(5) X25 + X4T = 0 3(7) X05 + XST + X26 = 0 3(8) 139 X06 + XGT + x27 = 0 3(9) X07 + X7T + x28 = 0 3(10) x08 + x39 = 0 B(11) x09 + XgT = 0 3(12) It has been proven that the above set of continuity and compatibility equations constitute the largest possible set of independent graph equations (Koenig, et al., 1967). Therefore, all of the available information pertaining to component interconnection pattern is contained in these equations. Any system input-output relationship can be obtained using the appropriate combination of component model and graph equations. For example, consider the relationship between paddy and hull in Figure 3.14. The component models are derived by the method illustrated by Holtman, et a1. (1972). The flows are: Y11 = YlT C(1) where Yij = the flow rate of material i for component j. Y12 = Y2T C(2) Y43 = Y02 + 20 0(3) Y24 = Y3T C(4) 140 Y15 = Y04 C(5) Y25 = Y4T 0(5) Y4T a Y22 C(7) Y12 = Y01 C(8) Y14 = K14Y04 C(9) Y11 = K11Y01 C(10) Y12 = K12Y02 C(11) Y33 = K43Y03 C(12) Yzo = K25Yos C(13) Yls = K15Y05 C(14) Y24 = K24Y04 C(15) Y14 = K14Y04 C(15) In effect, the set of equations above transforms the entire system model into a component model with sixteen material forms. Since we want a relationship between paddy and hull, we begin with equation C(10) which is an expression of the flow rate of paddy. Y11 = X11Y01 C(10) 141 Substitution of Equation A(13), Y11 = x11le Substitution of Equation C(11), Y11 = K11K12Y02 Substitution of Equation C(3), Y11 = K11K12(Y43 - Yzo’ Substitution of C(12) and C(13), Y11 = K11K12(K43Yo3 - Kstos) Substitution of C(14), Y11 = K11K12Y10 + K43K39K29K27K26K24K15fo2K39 K28K27K26(K43K24K15 ' K25>Y10 + K39K28K27K26K24K15f03(K39K28K27K26 K24K15Y10) + K39K28K27K26K15fo4Y10 K39K28K25K12f01(K43K39K28K27K26K24K15 K12Y10 - K39K28K27K26K25K12Y10) K39K28K25K20K12K11X1 K39K28K25K20K12K21X3A K39K28K25K20K12K41XCH 146 ‘ K39K28K25K12f2T(K43K39K28K27K26K24K15K12 Ylo) ‘ K39K25f02b m xn couzmmma mm Houos Ho oswmco an no ummnm may um oHanfim>m Hozom can mm oocflmoc ma coag3 .Ho3ommmuonoxmum madam: .owcoa ..um mafia .h vHoN .mxuoz couH w .nomz OQMHOflHom .m .m AN. ..00 w camshmm omon AH. adacmz .occoa ..um mafia "mum mocwmmwawsm 0:» ca mHHHE .b mmmN § OOGH moan mo muousuommssms ummmmwn o3u one \m .uoumnmmom >bnmm 09>“ ucmsuummEoo may no coflumfluomoc m mum>oo m noumnno \m \H mo.mm om up mn.o x m mn.o x N mm.H «mm mam mm.mv om om mm.o x m mn.o x m um.H as. man mv.mm me am mo.o x N mo.o x m om.H «mm m¢o va.pm mv m4 om.o x N mo.o x m 0H.H amm mam HH.mm ow mm mv.o x m om.o x N on.o «me m4. oo.Hm mm mm mv.o x m mn.o x H on.o m4 .4 ~>.om mm mm mo.o x H mp.o x H mHm.o a v mm.m~ om om ov.o x m mo.o x H mam.o mm ¢m hm.¢~ mm on om.o x H mo.o x H oom.o m m om.H~ mm 4N 04.0 x m om.o x m omm.o mm mm Hm.mH mm «a mv.o x H oo.o x H nnv.o m m mm.>H on mH mm.o x H om.o x H pom.o m H .4. 4... ...,... -:.. -..- .2. .-.,. ...- omufiawmm mason mo .02 umcouwn3 Hoadsm unflommmo nonfinz mafia mocfimmwawsm 039 :« cousuommncma mama» Haws ooflm H.m oHQMB 150 input capacity of the mill in tons per hour, while the third column gives the number of hullers and the diameter in meters. In the fourth column is the number of whiteners and the diameter in meters. The fifth column presents the number of compartments in the millls separator, and in the sixth column is the power requirement of the mill in both brake horsepower and kilowatts. Each simulation included 100 milling runs for each mill type without any modification, modified with an adjustable separator and modified with a single huller for the mills over 0.916 ton-per-hour capacity. Each milling run is different as determined by three random variable generators built into the program and discussed in Chapter 3. A "milling run" is one complete milling operation of a "batch" of paddy with resulting time data, output, etc. Some typical simulation runs are shown in Tables 5.2, 5.6, 5.7, 5.8, 5.9, 5.10 and 5.11. The fixed input data which were used for all simulations were as follows: a. Huller Bin Capacity (HBIN) = 0.0069 m3 b. Sifter Bin Capacity (SFBIN) = 0.077 m3 c. Paddy Separator Bin Capacity (PBIN) = 0.0089 m3 d. Input Paddy Mass (I) = 10.0 tons e. Grain Shape (GS) = 3.0 f. 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Number of Paddy Hullers (HNP = 1 or 2) Huller Type (HT): Disc or Rubber Roller Whitener Type (WT): Cone or cylindrical Growing Season (SEAS): Wet or Dry Drying Method (DM): Sun or Mechanical Rice Mill Capacity (RCAP) = 0.33 to 1.83 tons per hour Paddy Cleaner Capacity (PCAP) = 0.33 to 1.83 tons per hour Number of Whiteners (NW) = 1 or 2 Separator Capacity (SCAP) = 0.495 to 1.98 tons per hour Whitener Capacity (WCAP) = 0.255 to 0.731 tons per hour Paddy Huller Capacity (PHCAP) = 0.294 to 1.83 tons per hour Separator Type (ST): Fixed or Adjustable Table 5.2 is the simulation for mills type No. 1 with a 0.33 ton-per-hour capacity. It shows the time to mill 10 tons of paddy, the milled rice output, the recovery percentage, head grain percentage, discolored kernels and energy consumed in the milling process. Each row represents one simulation run which in this case involves the milling of a 10-ton batch. The result of each run 161 varies due to the random variables built into the program. These variables, namely, moisture content, purity and drying delay, were discussed previously in Section 3.2.1. The first average (AVElO) refers to the average of the first ten simulations and AVElOO refers to the average of 100 simulations. For the 0.33 ton-per-hour mill, it takes an average of 30.76 hours to mill 10 tons of paddy. For a medium grain and grain shape of 3.0, wet season crop and sun drying, the average yield or recovery was 6.53 tons. The head grain percentage was 61.94 percent and the discolored kernel percentage was 1.52. The total energy used was 498.21 kw-hrs. or 49.82 kw-hrs. per ton. The results of the simulation for a Type 1 mill were validated by comparing results with actual data collected in the field. Table 5.3 shows the milling recovery of small disc-cone mills by region in the Philippines (Basilio, et al., 1973). The probability distribution of moisture content, purity and drying delay variables used in the simulation were typical of the Bicol region. Table 5.3 lists the milling recovery from the Bicol region as 64~46 percent. The simulation milling recovery was 65.3 percent based on 6.53 tons milled rice from a paddy input of 10 tons. There were no extensive surveys on head grain percentage. Table 5.5 from Khan, et a1. (1973) shows head grain percentage as affected by harvest date, drying method 162 and variety. The mean head grain percentage was 62.46 percent from the field data. The simulation result showed a head grain percentage of 61.94. For comparison of the discolored kernel percentage of the simulation, 64 samples from the work of Camacho, et a1. (1978) were analyzed. Camachofls discolored kernel percentage was 1.92 percent with a standard deviation of 2.6. The simulation showed a mean of 1.52 percent. For energy use comparison, Table 5.4 from Duff, et al. (1972) presents engine sizes and capacities of different mills. Duff's calculated energy used for a 0.366 ton-per-hour mill for an input of 10 tons and 30.3 hrs. of operation was 537.54 kw-hrs. The simulation had a value of 498.21 kw-hrs. The simulation value was lower because it measured a continuous operation while actual data included the additional energy required for starting and clogging conditions. Table 5.6 presents the results of a simulation for which the fixed paddy separator was replaced with an adjustable type. Simulation energy consumption dropped to 455.48 kw-hrs. for ten tons. This is a reduction of 42.81 kw-hrs.:for ten tons which, when projected, amounts to yearly savings 0f P 14153-181/ or roughly the cost of 1 ton of milled rice. Table 5.7 presents simulation for a dry growing season and a mechanical dryer. The head grain increased by 17.5 percent over that for a wet season shown 163 on Table 5.6. This improvement was expected since there was generally a lower relative humidity and no precipitation during the dry season. Dry season conditions reduced the likelihood of grain moisture reabsorption during the harvesting period. Also the use of a mechanical dryer with controlled drying temperature assured lower grain breakage. Table 5.8 shows the simulation results for a rubber-roll huller instead of a disc huller. The head grain increased by 4.75 percent and the energy consumption decreased by 2.86 kw-hrs. compared to the disc-huller equipped mill. Head grain in rubber-roll milled rice was an average of 7.68 percent higher than for milled rice processed by disc hullers. Lower rubber-roll huller energy consumption may be attributed to the higher hulling efficiencyZ/ of 82:7 percent as compared to 56.5 percent for the disc huller. Appendix Table IS presents the simulation results of two whiteners in series for the 0.33 ton-per-hour rice mill (type 1). There was an increase of 0.15 percent in head rice reovery and 2.93 percent in total recovery with a corresponding 12.22 kw-hr. increase in energy consumption over the use of one whitener. Appendix Table I6 presents l/Based on 64 percent utilization of 288 hrs. per month and computed as: 4.27 kw-hrs. X 0.33 tons/hr. x 0.64 (utiliz. rate) x 12 mos/yr X $0.05 kw-hr = $155.84 or Pl,153.18. 2/This term was defined in Section 2.1. 164 the results after replacing the fixed-stroke paddy separator with an adjustable-stroke paddy separator. The energy consumption dropped 42.47 kw-hr. Appendix Table IS presents the simulation results of two whiteners in series for the 0.33 ton-per-hour rice mill (type 1). There was an increase of 0.15 percent in head rice recovery and 2.93 percent in total recovery with a corresponding 12.22 kw-hr. increase in energy consumption over the use of one whitener. Appendix Table I6 presents the results after replacing the fixed-stroke paddy separator with an adjustable-stroke paddy separator. The energy consumption dropped 42.47 kw-hr. Appendix Table I7 presents the simulation results for rice mill type 2 rated at 0.44 tons per hour. Table 18 indicates a reduction of 35.51 kw-hr. for the adjustable paddy separator. Table 110 shows a reduction of 39¢2 kw-hr. when the separator was replaced with an adjustable paddy separator for a 0.55 ton-per-hour mill (Type 2A). Table Ill shows an increase in total and head rice recoveries of 2.34 and 4.95 percent respectively for the rubber-roll huller over the disc huller. Table 112 presents the results of the simulation of a type 3 rice mill which has a capacity of 0.66 tons per hour. Table I13 shows the results from the same mill with an adjustable separator and Table 114 gives the results from that same mill equipped with two whiteners in series. Table 5.12 .1655 :00: cmaufiaom £u03 00Qm0000 00.000 50.00 00.05 00.000 00.00 00.05 400 000 00.000 00.00 00.05 00.000 00.00 00.05 00.050 00.00 00.05 005 005 00.050 50.50 00.05 00.050 00.00 00.05 00.000 00.00 00.05 000 000 00.500 50.50 00.05 00.000 00.00 00.05 00.000 00.00 00.05 05.000 50.00 00.05 000 000 00.050 00.00 00.05 00.000 00.00 00.05 05.500 00.00 00.05 00.000 00.00 00.05 05.500 00.00 00.05 000 000 00.050 00.00 05.05 00.050 0.00 00.05 00.000 05.00 00.05 00.000 00.00 50.50 00.000 00.00 00.50 0 0 00.000 00.00 00.05 00.000 00.00 00.05 00.500 00.00 00.05 00.000 00.00 00.50 00.500 00.00 00.05 00 40 00.000 00.00 00.05 00.000 0.00 00.05 00.500 00.00 00.05 00.000 00.00 00.50 00.500 00.00 00.50 0 0 00.000 00.50 00.05 00.500 00.00 00.05 05.000 00.00 00.05 00.500 00.00 00.05 05.000 00.00 00.05 00 <0 00.000 00.50 00.05 00.500 00.00 00.05 05.000 00.00 00.05 50.050 00.00 00.50 00.000 00.00 00.50 0 0 00.500 00.00 00.05 00.000 00.00 50.05 00.000 00.00 00.50 00.000 00.00 00.50 0 0 .unuzx 0 000m 0 .unuza . coax a .03:32 0 000x a .0212: 0 000m 0 .uzusz p 000: p comHom whacuom >0u0cm 000: .>0000 >0u0cm 000: .>ooma >0uocm 000: .>oo0m >0u0zu 000: .>oomz >0uocm 000: .>0000 000552 0m>9 uMMWMHM0M0.MMH «MMHMHanmnwmmWW0MHB 000000053 000000 oza uouuunm0m .000 0000 005:: 000: 0000 .mu0c0u0gz 000u0m 035 £003 00000500 :u03 00000500 « .00000003300 no 0005000 no 0005550 00.0 00008 166 smmmarizes the results of simulation from Appendix Tables IS to I40. Table 5.10 shows the results for the 1.83 ton- per-hour mill after substituting a rubber-roll huller and a cylinder whitener for the disc huller and cone whitener, respectively. The energy consumption was reduced by 1.6 kw-hrs. and the head grain went up by 4.87 percent compared to the disc-cone combination. Table 5.11 presents simulation results when double hullers were replaced by a single huller. The energy consumption was 218.85 kw-hrs. higher than for a 1.83 ton-per-hour mill with double hullers. This result indicates that there was a limit on increasing the size of the huller. This finding was utilized in the determination of the proposed mills presented in Figure 5.1. The simulation runs of mill sizes from 0.367 to 1.1 tons per hour indicated that the energy consumption was lowest with a single huller. For the larger mills from 1.54 to 1.83 tons-per-hour capacity, the energy consumption was lowest with double hullers. Other simulation results are shown in Tables I5 to I42 in Appendix I. Figure 5.1 shows the simulation of the different mills including eight mills proposed by the authon. The solid circles indicate the energy consumption of the different mill types studied (Table 5.1%. The most popular mill in the Philippines had a 0.916 ton-per-hour capacity 167 m...=s_ OmmOn—Ocn OZ0¢m2m m> >.:Uto0 00520.03 32.9. .052 OD N01. 83:! SHHOH'LLVMN NOILdWflSNOO ASHBNS 168 (Type 4), and was available in three versions with a wide variation of energy consumption, from 25.1 to 44.7 kw-hrs. per ton. The basic type with a single huller and a single whitener (type 4) had the lowest energy consumption. However, the rice quality performance was the poorest, as shown in Table 117 in Appendix I. Both total recovery and head rice percentage suffered. This was confirmed by both the simulation and previous experimental results of Manalabe, et al. (1978). In terms of output rice quality, there was really no difference between the version with double hullers (type 4A) and the version with double hullers and whiteners (type 4A8). But in terms of energy consumption, there was a difference of 14.7 kw-hrs. per ton between the two mill types. The apparent advantage of the double-huller equipped mill (type 4A) was the extra huller which would allow the mill to continue operation in case one huller broke down. With the rising cost of energy in the Philippines, which is dependent on foreign sources for 90 percent of its needs, a trade-off of this magnitude (8% difference) is worth considering. Higher capacity (types 7A8 and 8AB) gave the lowest energy consumption among the different types. To determine which combination and number of components are most desirable, various modifications of existing mill types were considered. One modification that 169 lowered energy consumption was the replacement of the fixed-stroke separator with an adjustable type. Another modification was replacement of double hullers with a single large huller. The single huller reduced energy requirements up to a capacity of 1.1 tons per hour. These two modifications simulated reductions in energy consumption of 6 percent for the 0.367 ton-per-hour mill (type 1); 9 percent for the 0.550 and 0.696 ton-per-hour mills (type 2A and 3A); 10 percent for the 0.916 ton-per- hour mill (type 4A); 19 percent for the 1.1 ton-per-hour mill (type SAB); and 13 percent for the 1.36 ton-per-hour mill (type GABL. For larger mills with capacities of from 1.54 to 1.83 tons per hour, the only modification possible was replacement of the fixed-stroke separator with an adjustable stroke. This modification reduced the energy consumption of the larger 1.54 and 1.83 tons-per-hour mills by 6 percent (type 7A8) and 5 percent (type 8AB). Validation of the model was conducted next. The capacity and energy consumption were compared with currently manufactured mills in Figure 5.2. The energy required to run the power sources for these mills were then computed by: Energy(kw-hr./ton) = ' 0 S 0 W Efficiency X power factor X mill capacity (ton/hr) The computed values obtained from the above formula were mm34<> nay—.5325 m1». OZ< >._._O<&._._U<1...o<..m\w vom.H oao.o mvH.H mmo.o evo.o HHou Honndm 0H0.o + oo.a mHN.H mao.o mmH.H hmo.o hvo.o Hmcowuco>coo mmm.a mmo.o mvH.H mmo.o 000.0 Haon Hmnnsm Noo.o + om.o mmN.H hao.o mma.a hmo.o moo.o HonoHucm>coo mNN.H Hmo.o mvH.H mmo.o Noo.o Haou honnzm vao.o I mm.o va~.H vHo.o mma.a hmo.o mvo.o Hmsoauco>coo :oflHMNflkus unmouom om mmH.H mmao.o mvH.H mmo.o mmo.o HHOH umnnsm Nao.o + oo.H mma.a mmao.o mmH.H hmo.o omo.o Hmcowuco>coo mo~.H vomo.o mvH.H mmo.o mmo.o Haou Hmnnsm moo.o I om.o Hom.a veao.o mmH.H hmo.o mmo.o Hmcowuco>coo hmH.H Namo.o mvH.H mmo.o Hmo.o Haon nonnsm moo.o + mm.o Hom.a mvao.o mmH.H hmo.o Hmo.o Hmcoflusm>coo m H o o H a H m m o m \MGOMumuwawu: uswouom 00H umoo Ibmoo Honda amumcm umou umoo .un\mcou ca .muwa mmuoe w .ucfimz w moam amumsm poxwm xuwommmu Haw: mo mmza “.mHHHE HMGOflusm>coo cusp noumoum unmonom m nofismmm ma >H0>ooou Adda HHOH Honnsmv .maawfi ucmuommwp xflm mo mafiampofi Ofisocoom mo mUHammm ma.m manna .QOMumuwku: unmouom 00H mm vouopamcoo ma nucofi mom muse: 00N.l 174 \m .pmufioouo umoo muospoumr>m\w mam.a 0H0.0 mma.a 0m0.0 vv0.0 Haou Honnzm ma0.0 I . 00.H m0~.a ma0.0 Nva.a m~0.0 >v0.0 Hmsofiucm>coo 0¢N.H >~0.0 mmH.H 0m0.0 000.0 Haou umnnum NN0.0 I 00.0 0mm.a ba0.0 mvH.H vm0.0 h00.0 Hmcofiuso>cou 0mm.a H~0.0 00H.H 0m0.0 «00.0 HHOH Honnzm 0m0.0 I mm.0 HON.H va0.0 mva.a va0.0 000.0 HocOMucm>sou :owumnwaflus unmoumm 00 mmH.H 0H0.0 mmH.H mm0.0 mm0.0 Haou “manna HH0.0 I 00.H NOH.H ma0.0 mvH.H vm0.0 0N0.0 HMCOflucm>coo mHN.H 0N0.0 mmH.H mm0.0 mm0.0 Haou Hmnndm 0N0.0 I 00.0 50H.H hH0.0 mvH.H «No.0 0N0.0 Hmcofiucm>coo mow; Rod 02 .H 30.0 H86 Son “32 0N0.0 I mm.0 . 00H.H 0H0.0 mva.a vm0.0 Hm0.0 : Hmcofluco>cou E m H m o H a x H w m o m o m \Mcoflumuwawus unwoumm 00H umoo .Iumoo gonna hvumcm umoo umov .u£\m:ou cw .mmwo \mmuoa w .ucfimz w mowm mmuocm poxam auaommmo Haw: mo maza 5.0x\00.am mumoo >000m unassmmav .Hmsvo ohm Haas amsoauso>coo 0cm Haou nobody mo >um>ooou msaaafia smg3 mafiaopos owsocooo mo muasmum va.m manna 175 higher recovery showed that rubber-roll mills produced rice at a higher cost of about 0.3 to 1.4 centavos. The differences were greater for the 50 percent utilization level. Since the result in Table 5.13 simulates commercial milling conditions, the higher charge by rubber-roll mill operators seems justifiablerl/ In actual practice, rubber- roll mill operators charged 2.22 centavos per kilogram (0.02%) higher than other mill types. The differential cost was at the mill level and not at the consumer rice market level. Market prices do not distinguish between rubber-roll and conventional milled rice but may vary due to variety and/or storage duration. A sensitivity test was made on the effect of rubber-roll costs on the maintenance and total costs of milling (Table 5.15). Prices of locally produced rubber rolls in 1978 and imported rolls in 1976 were used (see Appendix Q). The government stOpped the importation of rubber rolls when locally made rolls became available. The 1978 price increase of 10 to 85 percent over 1976 prices increased the total cost of milling per kilogram of milled rice by 1.0 to 2.0 centavos (0.02%). The change of status of the Philippines from a rice-importing to a rice-exporting nation.in 1979 made it l/See Table P5 in Appendix P, which was adopted from Camacho, et al., 1978. 176 .coflumuwaflus unmoumm 00a mm wouooflmcoo mu nucofi “mm mudon 00m .nmuwcmuo umoo mausooumIam \M \H 0HN.H HH0.0 mmH.H mm0.0 v00.0 Haou Honndm 000.0 00.H NON.H ma0.0 mvH.H v~0.0 500.0 Hmcofiuco>coo Hmm.H m~0.0 mmH.H 0m0.0 000.0 Haou wonnsm 0N0.0 00.0 0NN.H bH0.0 mvH.H vm0.0 h00.0 accoflucm>coo HvN.H mm0.0 0mH.H mm0.0 «00.0 Haou umnndm 000.0 mm.0 HON.H 0H0.0 mvH.H «No.0 mvo.0 HmcoHucm>coo coflHMNflku: ucooumm 0m 00H.H HH0.0 mmH.H mm0.0 «No.0 Haou umnnsm 000.0 . 00.H ~0H.H mH0.0 NvH.H v~0.0 hm0.0 Hmcofluco>so0 0HN.H mm0.0 mmH.H mm0.0 mm0.0 Haou nonnsm 0m0.0 00.0 50H.H hH0.0 ~0H.H v~0.0 mm0.0 Hm00wu00>coc 0HN.H mN0.0 00H.H 0m0.0 Hm0.0 maou Honndm «No.0 mm.0 00H.H vH0.0 mvH.H v~0.0 Hm0.0 Hmcofiuco>coo E m u 0 o H a u m m o m \MCOHuMNHHHun usmouom 00H umoo .lumou Honda >mumcm umou umoo .H£\m:ou :0 .mmaa \mmuoa a .ucwmz a moflm mmumcm omxflm suflommmo Hafiz mo mama A.Hmzvm mum HHHE Hmcowucmbsoo can HHOH Hmnnsmv .moowum Haou Hmnnsu 00mmmu00w :uw3 wcwamcos OfiEocoom mo muazmmm 0H.0 manna 177 necessary to price rice with respect to its grade classification to cover the extra cost of improved processing and to stimulate quality control. The paddy and rice grade classifications in the Philippines are shown in Appendix N. There were five grades with ten criteria required for paddy. For milled rice, there were four grades with nine criteria. The higher the grade classification of paddy, the lesser was the undesirable component and impurity content. It therefore follows that the milling yield was higher from the higher grades. .A lower milling yield reduces the output and increases the total unit cost of the milled rice with rubber-roll mills (Tables 5.13 and 5.14). The milling cost of the roll was lower than for conventional mills when there was a 3 percent higher milling recovery of the rubber-roll mill. At 100 percent utilization, the rubber- roll-milled rice cost more by 1.1 to 2.8 centavos as compared to the conventional milled rice. Another undesirable aspect of milling low-grade paddy is the additional sorting processes required to bring it up to a higher grade of milled rice. These processes may involve the use of indented graders (trieurs) and color sorters to eliminate broken and discolored kernels. This means additional cost to the miller in terms of time, energy and equipment. 178 A prorated price schedule was recommended to encourage improved quality of paddy and milled rice. The prorated price schedule discounted the selling price of rough rice in accordance with its grade. Full price was paid for the highest grade rice while a corresponding gradually increasing discount schedule was applied to the lower grades. This provided an incentive to invest in the extra cost of processing poor-quality paddy and helped ease the problems encountered in marketing surplus rice in other countries. Chapter Five analyzed the effect of milling recovery on the cost of milling rice by using rubber-roll and conventional mills under simulated and field conditions. The finding was that under ideal conditions the rubber roll has a lower milling cost. However, under actual conditions, the conventional mill has a lower cost. Sensitivity tests on the increased cost of rubber rolls with frequent replacement were also conducted. An increase in the price of rubber rolls from 10 to 85 percent over a 2-year period (1976-78) increased the processing cost by l to 2 centavos per kilogram. Another sensitivity test was made on the time utilization rate for mills. A 50% as compared to 100% utilization rate caused the cost of rubber-roll milling to increase from 0.8 to 4 centavos per kilogram over conventional millling. CHAPTER VI CONCLUSIONS AND RECOMMENDATIONS The two models developed in this research can be of considerable use to rice mill designers and government policy planners. The models make it possible for the first time to simulate the operation of mills with different capacities and combinations of components without the expensive monitoring of mills in the field. Further, the model will simulate mill sizes not available in the field. The model can simulate various proposed levels of performance and different mill sizes to provide valuable data for policy makers. Mill designers can manipulate the model with different combinations of equipment to predict the most desirable characteristics, without the expense of actually building prototypes. The specific accomplishments of this research were: 1. The Rice Mill Performance Model was developed to simulate the operation of selected milling technologies. It will predict the milling time, rice output, percent recovery, head grain percentage, discolored kernel percentage and energy consumption. The assumptions used in the model were as follows: 179 180 a) Drying delay was defined as the number of days from harvesting to start of drying of paddy. b) The drying delay was the same for sun- dried and mechanically-dried paddy. c) Variation of hardness of grains due to varietal differences was not considered. d) The effect of variation of relative humidity was not included because relative humidity varied only seasonally. 2. The Linear Network Economic Model of rice milling systems was developed for predicting milling costs over a range of capacities for a selected set of rice- milling technologies. Limitations of the final form of this model were as follows: a) The polisher or refiner by-product which is produced in small amounts with a value of P055 PE?r kilogram was excluded due to lack of data. I» The model is applicable to modified mills of from 0.367 to 1.36 tons per hour capacity. 3. Simulation runs were conducted to demonstrate the use of the models in decision— and policy-making processes and also to demonstrate their validity as far as comparisons of technologies and sizes are concerned. a) Rice Mill Performance Model Simulation Results: 181 l) The energy consumption of Philippine- manufactured rice mills can be reduced from 4.9 to 8.6 percent by incorporation of adjustable-stroke paddy separators. The initial higher cost of these units would therefore be offset by the energy savings. 2) The energy consumption of mediumrsize rice mills (1.1 to 1.4 tons per hour) can be reduced by 10.0 to 13.0 percent by replacing the double hullers with a single huller of twice the capacity. 3) The milling recovery and head grain percentage of the smaller size mills (0.367 to 0.916 tons per hour) can be increased by 0.5 and 1.6 percent respectively, by inclusion of two or even three whiteners in series with an increase of about 4~0 percent in energy consumption. 4) The per-ton energy consumption for modified mills (0.7 to 1.8 tons per hour) is not changed appreciably (26.6 to 27.2 kw-hr. per ton). b) Linear Network Economic Model 1) The rice processed by rubber-roll mills costs more than rice processed by conventional mills under commercial milling conditions by 2 to 3 (1.7 to 2.3 percent) centavos per kilogram. 182 2) The lowest simulated milling cost was attained at 100 percent level of utilization for the 1.0 ton-per-hour mill. 3) The maintenance cost of the 0.3 and (L5 ton-per-hour rubber-roll mills was double that for conventional mills. 4) The maintenance cost of 1.0 ton-per- hour rubber-roll mills compares favorably (0.3 centavo difference per kilogram) with conventional mills of the same size. 5) The fixed and energy costs for both conventional and rubber-roll mills were approximately the same (0.4 centavo difference per kilogram). The recommendations from this research are: 1. Additional field research should be conducted as follows: a) Duration of drying delays and losses experienced in the field and at what moisture content do these occur. b) Actual harvesting dates practiced by farmers based on days after initial heading and moisture content. c) Effect of relative humidity levels on rice head yield of Philippine varieties. 183 2. Update the Rice Mill Performance Model with current information. 3. The hardness of different varieties grown in the Philippines should be studied. 4. Conduct a study with the National Grains Authority in identifying solutions to current problems in the export of excess rice and their relationship to the improvement of rice-processing facilities. A possible approach is to identify areas where there is an excess of rice for local consumption. Improvement in the rice quality could then be implemented in these areas through the use of rice dryers and improved rice mills. 5. Coordinate with the Rice Mill Manufacturers Association through the NGA on the implementation of the results of this research in the manufacture of future energy-efficient rice mills. BIBLIOGRAPHY BIBLIOGRAPHY l. Andales, S. C., C. T. Dilag, V. G. Gayanilo and I. R. Camacho, 1976. Comparative Performance Test of Rice Mills UsinggRubber Roll and Stone Disc Hullers. Agricultural Engineering Department, University of the Philippines at Los Banos, Los Banos, Laguna, Philippines. 2. Araullo, E. V., D. B. de Padua and M. Graham, 1976. Rice Post-harvest Technology. International Development Research Center, Ottawa, Canada. 3. Bagtas, R. V. and V. C. Lizardo, 1970. An Economic Analysis of the Rice Milling Problem in the Philippines. Research Paper for the 5th Session of the Wisconsin-UP Training Program in Development Economics, Quezon City, Philippines. 4. Basilio, E. A. and J. C. Alix, 1975. Rice Milling Recovery Rates, 1973. Ag. Econ., Statistics and Market News Digest. Vol. IX, No. 3 S. Camacho, I. R., P. Hidalgo, B. Duff and E. Lozada, 1978. A Cogpari- son of Alternative Rice Milling_§ystems in the Bicol Region. AGPET, INSAET, University of the Philippines at Los Banos,- Philippines. 6. Duff, B. and I. nstioko, 1972. Establishing Design Criteria for Improved Rice Milling Technologies. Saturday Seminar (Aug. 26, 1972) 7. tder, I. W. t. and Goslings, 1965. Mechanical System Design. Pergamon Press, 1nc., N. Y., U. S. A. pp. 10-21. 8. triyatno, 1979. System Modelling on Rice Milling Technolggy in Indone- sia. Unpublished Ph. D. Dissertation, Michigan State University, E. Lan- sing, Micnigan, U. S. A. 9. Esmay, M. L., Soemangat, Eriyatno and A. Phipps, 1979. Rice Post 184 10. 11. 12. 13. 14. lb. 16. 17. 18. 185 Production Technology in the Tropics. East-West Center, Hon01u1u, U. S. A. Getubig, I. R., 1977. Sources of Inefficiencies in the Rice Milligg Industry in Bicol, Philippines. East-West Center Ford Institute, Honolulu, U. S. A. Hall, C. M., 1963. ProcessinggEquipment for Agricultural Products. AVI Publishing Co. lnc., Wesport, U. S. A. Hillier, F. S. and G. J. Lieberman, 1974. Operation Researcn. Holden Day Inc., San FranCisco, California, U. S. A. Holtman, J. 8., et al., 1972,Graph Theory Applied to Systems Analysis Problems. American Society of Agricultural Engineers Paper No. 72—501, St. Joseph, Michigan, U. S. A. Khush, G. S., C.M. Paule and de la Cruz, N. M., 1978. Rice Grain Quality and Evaluation and Imrovement at IRRI. workshop on Chemical Aspects of Grain Quality, Oct. 23-25, IRRI, Los Banos, Philippines. Koenig, H.E. and R. L. Tummala, SML—Z. Principles of Ecosystem Design and Management. IEEE Transactions on Systems, Man and Cy: bernetics, pp. 449-459. Kono, A., 1973. Lectures on Rice Milling, Grain Processing Training Course, Satake Engineering Co. Ltd., Hiroshima, Japan. Manalabe, R. R., D. B. de Padua and E. P. Lozada, 1978. Milligg Para- meters for Maximum MillingYield and Quality of Milled Rice. AGPbT, lNSAET, University of the Philippines at Los Banos, Los Banos, Philippines. Manetsch, T. and G. Park., 1977. System Analysis and Simulation with Application to Economic and Social Systems. Part lI. Department of Electrical Engineering and System Science, Michigan State university, 19. 20. 21. 22. 23. 24. 25. 26. 186 East LanSing, Michigan, U. S. A. Mears, Leon, et al., 1974. Rice Economy of the Philippines. university of the Philippines Press, Diliman, Quezon City, Phi- lippines. Mellor, J. M., 19/0. Elements or Food Marketing Policy for Low Income Countries. Foreign Ag. Econ. Report No. 96, USDA. Nangju, D. and S. K. Deuatta, 1970. Effect of Time of Harvest and Nitrogen Level on Yield and Grain Breakage in Transplanted Rice. Agronomy Journal Vol. 62 July-August. Ongkingco, P. S. Gatera, M. E. and P. G. Castro, 1964. The Influence of moisture Content and Duration of Storage on Milling Recovery of Rough Rice. Paper read in the IRC Working Party on Ag. Eng'g. Aspects or Rice Production, Storage and ProceSSing, March. Paras, A. S., 1976. Rice Milling PrinCiples and Systems. ACPET, lNSAET, University or the Philippines at Los Banos, Los Banos, Philippines. \ Paras, A. S., 1978. Comparative Cost Analysis of Rice Milling Systems in the Philippines. Unpublisned Term Paper ror FSM-PAM 462. Michigan State Univer51ty, East Lansing, Michigan, U. S. A. Paras, A. 8., Analysis of Rice MillingLSystems in the Philippines. Unpublisned Ierm Paper ror FSM-PAM 480. Micnigan State University, East LanSing, Michigan, U. S. A. Sang Ha No, 1976. A Master's Thesis on Mechanical and Operational Factors Affecting the Efficiency of Rice Whitening Macnines. Depart- nent of Agricultural Engineering, Seoul National University, May. Z7. 25. 29. 3U. 31. 32. 33. 34. 187 Rapusas, R. S., D. B. de Padua and E. P. Lozada, 1978. Pre-drying Handling of High Moisture Paddy. UrLB/IDRC Post harveSt Rice Tech- n0logy Project, lNSAET, university of the Philippines at Los Banos, Los Banos, Philippines. Seshu, Sundaram and N. Balabanian, 1959. Linear Network Analysis. John Wiley 5 Sons, Inc. New York, N. Y., U. S. A. 7 Shelby, n. W. Morrison and n. Traylor, 1974. economic Models for Rice Mills in the South. Southern Cooperative Series Bulletin 187. Agricultural Experiment Station of Arkansas and Lousiana, U. S. A. Sison, W. M., B. C. Sarmiento, u. C. Galvez and E. G. Magno, Jr. 1976. Comparative Study and lest Evaluation or Different Villagg Single Pass Rice Mills. National Grains Authority, Quezon City, Philip- pines. Steele, J. L., R. A. Saul and w. V. Hukill, 1969. Deterioration of Shelled Corn as Measured By Carbon Dioxide Production. Transactions of the ASAE. 12: 685-689. Timmer, C. Peter, 1974. ChOice of Techniques in Rice Milling in Java. Research and Training Network, Agricultural ueve10pment Council. New York. Thmmala, R. L. and L. J. Connor, 1973. Mass Energy Based Economic Models. IEEE Transactions on Systems, Man and Cybernetics, Vol. SMC-K No. 6, Nov. Van Ruiten, R., 1974. The Quality of Paddy Related to R ice Milling. Paper read berore the Confederation or Filipino Rice and Corn Millers Association, lnc., Philippines. . Rice Milling Researcn Terminal Report., Institute of Science and lecnnOlogy, UniverSity of Arkansas, Fayetteville. APPENDI CES APPENDIX A ENERGY CONSUMPTION MEASUREMENT RESULTS APPENDIX A Appendix Table.Al presents the results of energy consumption measurement on three electrically driven rice mills in the Philippines. The second column gives the rated horsepower of the electric motor drive. The next three columns give the efficiency, power factor and amperage as measured. The sixth column gives the output horsepower as measured and computed. The measured voltage was 220 volts througout the test. All the values indicated were averages of three readings. Table A2 presents the power requirement of adjustable and non- adjustable separators as computed from the fbrmula given by Van Ruiten (1974). Table A3 gives the power requirement of Japanese rice mill com- ponents as published by Satake Engineering Co. Ltd. of Tokyo, Japan. 188 th_h.—.nu-.—.-I——-.- n.—n.-———u~u ILAV uu.~.~hu.-P.L..—~—-u..<..,-h ~hAy~.~l.—».:-u..xhav..~ >uv--~r~hh 00:00000 oops» mo mumpm>w 0L0 mucoecpsnmoz .muHo> omm 000 00000H0> HH< \m .930: no: meow 0 Ho hpwomamo H090» 0 £903 :ofiwo:mecoo xoaczc 0 mm: Haws 00:0 \A I I I I I I I I I I 0.0 0.0 00.0 00.0 0.0 o>000 0:00; 00.0 00.0 00.0 00.0 0.0 0.0 0.0 00.0 00.0 0.0 0.0 0.0 00.0 00.0 0.0 o>000 c000 I I I I I 0.0 00.0 00.0 . 00.0 0.0 00.0 0.00 00.0 00.0 0.00 0 chc>ce0 0000 I I I I I 0.0 00.0 00.0 00.0 0.0 00.0 0.0 00.0 00.0 0.00 0 000c>000 I I I I I I 00.0 00.0 . 0.0 00.0 0.0 00.0 00.0 0.00 0 LC0c>CH0 Cu—vaCH 00.0 0.00 00.0 00.0 0.0 0.00 0.0. 00.0 00.0 0.00 00.0 0.00 00.0 00.0 0.00 0 000000;: 00.0 0.00 00.0 00.0 0.0 0.00 0.00 00.0 00.0 0.00 00.0 0.00 00.0 00.0 0.00 0 000001;; 00.0 0.00 00.0 00.0 0.0 0.00 0.00 00.0 00.0 0.00 00.0 0.00 00.0 00.0 0.00 H 000000;: '0”. 00V mm. o o 0.0 Con .. ..o o o la). 0 ,o 0 Co .. 0 ..rWCQ. e H 0 <0 0 0 0 \mm o L c ,0 0 00 0 0 0 \et 0 0 RH 00 0 <0 0 t 0 \MLcsrtr . I I I I I 00.0 0.0 00.0 00.0 H.H 00.0 0.0 00.0 00.0 0.0 00:00: srzc 00.0 0.0 00.0 00.0 0.0 I I I I I 00.0 0.0 00.0 00.0 0.0 0c000000< I I I I I 00.0 0.0 00.0 00.0 0.0 00.0 0.0 00.0 00.0 0.0 m 0000:: 2.0500 I I I I I I I I I I 00.0 00.0 00.0 00.0 0.0 0 0000:: 00.0 0.0 00.0 00.0 0.0 I I I I I 00.0 0.0 00.0 00.0 0.0 H 0000:: 00.0 N 00.0 00.0 0.0 00.0. 0.0 00.0 00.0 I 00.0 0.0 00.0 00.0 0.0 0000000000 .MQE< .a.: .00E< .&.: . .mCE< .L.: .0.: .0 10.0 .000 00000 .0.: H .0.0 , .000 00000 ".0.: \M .0.0 .000 00000 . 0:02 900 so» H 05o: had mcou 0.0 \MLso: Lea mCOp 0.0 050500: 0<0 .0000 zH<00 000: .0.0 .000000202 .0H:0 .0000000020 0000000 0 0 H a H 0 < a < 0 . 0 a H z 0 0 H 0 I..On ‘0. .0. ‘SI' Ill! I mAAH: NZHLQHAHZQ mmmze 00 whzmzmz3mozuzm .Hc 0;C44 GOTO 79¢ IF DAH< 24 GOTO 79¢ REN 3 NATURITY (DAYS AFTER READING) 3 IF SEASS = "DRY" GOTO 9¢6 IF DN 3 = "SUN" GOTO 346 HHD = -¢.53 + ¢.1012 3 DAN -¢.¢¢15 3 (DAR1‘2) GOTO 37¢ z¢ = DAN G¢(1) ¢.92 G¢(2) ¢.94 : G¢(3) = ¢.95 : G¢ (4) = ¢.95 G¢(5) ¢.94 G¢(6) ¢.925 : G¢ (7) = ¢.89 : G¢(3) = ¢.35 SMALL = 28 : K = 8.93 : DFI = 2.25 GOSUB 25¢¢¢ HHD = XAL REN 3 HEAD RICE DUE TO DRYING DELAY 3 01 = 3 : $1 = 1¢.49 GOSUB 4¢¢¢¢ : DD = XCAL IF DD 13 GOTO 372 Z¢ = DD 378 879 881 882 883 335 392 393 395 396 397 393 399 9¢1 9¢2 9¢4 9¢6 9¢3 9¢9 91¢ 915 92¢ 921 923 924 925 93¢ 935 933 939 941 942 945 95¢ 20]. G¢(1) = ¢.925 : G¢(2) = ¢365 : G¢(3) = ¢.33 : G¢(4) = ¢.3¢ G¢(5) = ¢.793 : G¢(6) = ¢.795 : G¢(7) = ¢.795 : G¢(3) = ¢.795 SMALL = ¢ : K = 3 : DFI = 2 T¢ = z¢ GOSUB 25¢¢¢ DG = XAL REE 3 DISCOLORED KERNELS DUE TO DRYING DELAY 3 G¢(1) = ¢.¢ : G¢(2) = ¢.¢1 : G¢(3) = ¢.¢ 2 : G¢(4) = ¢.¢6 G¢(5) = 1.¢1 : G¢(6) = 1.94 : G¢(7) = 2.33 : G¢(3) = 3.75 SMALL = ¢ : K = 3 : DFI = 2.¢ z¢ = DD GOSUB 25¢¢¢ DCK = XAL GOTO 93¢ REN 3 DRY SEASON 3 DAH = 23 + 2 3 XBAL IF DAH) 33 GOTO 9¢2 : IF DAN<13 GOTO 9¢3 Q1 = 3 : 81 = 1¢.49 GOSUB 4¢¢¢¢ : DD = XCAL IF DD 13 GOTO 9¢3 IF DR S = "SUN" GOTO 921 HHD = —1.1372 + 0.1412 3 DAH - ¢.¢¢23 3 DAR¢2) GOTO 933 z¢ = DAH G¢(1) = ¢.94 : G¢(2) = ¢.94 : G¢(3) = ¢.93 : G¢(4) = 0.92 G¢(5) = ¢.33 : G¢(6) = ¢.34 : G¢(7) = ¢.79 : G¢(3) = 0.72 SMALL 23 : K = 5 : DFI = 3 GOSUB 25¢¢¢ HHD = XAL G¢(1) 1.¢ : G¢(2) = ¢.97 : G¢(3) G¢(5) ¢95 : G¢(6) = ¢.95 : G¢(7) SMALL = ¢ : K = 3.¢ : DFI = 4.¢ z¢ = DD GOSUB 25¢¢¢ D6 = XAL ¢.9s ; c¢<4) = ¢.955 9.95 : 69(8) = ¢.95 954 955 956 957 96¢ 97¢ 975 93¢ 933 934 935 986 933 939 99¢ 992 995 1¢¢¢ 1¢¢5 1¢1¢ 1¢15 1¢2¢ 1¢25 1¢3¢ 1¢35 1¢4¢ 1¢45 1¢55 1¢6¢ 1¢65 1¢7¢ 1¢75 1¢8¢ 1¢89 202 G¢(1) ¢.¢ : G¢(2) = ¢.3 : G¢(3) = ¢.79 : G¢(4) = 1.35 G¢(5) 1.72 : G¢(6) = 1.74 : G¢(7) = 1.99 : G¢(3) = 1.99 SMALL 2 ¢ : K = 3.¢ : DFI = 6.¢ z¢ = DD GOSUB 25¢¢¢ DCK = XAL REM 3 SHAPE-RATIO FACTOR 3 VS (1¢¢.73 - 9 3 Gs)/1¢¢ QP MM 3 HHD 3 vs 3 DG THD = 37.17 + 17.33 3 LOG(DAH) IF HTS = .3 RR 3 GOTO 933 NOT _ VNN 3 HOT 3 ¢.97 3 TED/1¢¢ : GOTO 99¢ NOT VNN 3 HOT 3 TED/1¢¢ GOTO 992 GOT OP 3 NOT : GOTO 1¢¢2 GOT OP 3 NOT 3 1.¢8 : GOTO 1¢2¢ REM 3 DETERMINE ENERGY REO BY CAPACITY 3 IF HT 3 = "RR" GOTO 1¢2¢ GRLGTH = (NOT/.922)/NCAP GENRGY = (¢.49 3 RCAP1‘(¢.93)) 3 ¢.746 3 GRLGTR GOTO 1¢3¢ GRLGTH (NOT/¢.922)/NCAP GENRGY 1¢.43 3NCAP‘r(¢.92)) 3 0.746 3 GRLGTH TENRGY TENRGY + GENRGY RATE (6) = POT/GRLGTN TRLGTH = TRLGTH + GRLGTH REM 3 DETERMINE PERFORMANCE CRITERIA 3 1¢¢ 3 (GOT/NOT) BROK 1¢¢ 3 1¢¢ (NOT—GOT)/NOT TyLD 1¢¢ 3 (NOT/COT) PRINT 64 "TIME OUTPUT RECOV HEAD DISC ENERGY" PRINT 123, "HRS TONS PERCENT PERCENT PERCENT KNATT-RRS" HEAD PRINT TAB (¢) TRLGTR ; TAB (3) NOT ; TAB (14) TYLD ; TAB (24) HEAD TAB (35) DCK ; TAB (46) TENRGY RTNRGY = RTNRGY + TENRGY ' 1¢9¢ 11¢¢ 1115 1113 1125 1133 114¢ 24399 25¢¢¢ 25¢65 25¢7¢ 25¢75 25¢3¢ 25¢35 25¢9¢ 23995 3¢¢¢¢ 3¢¢35 3¢¢4¢ 3¢¢45 3¢¢5¢ 3¢¢55 3¢¢6¢ 3¢¢65 3¢¢7¢ 33995 39¢¢¢ 4¢¢¢¢ 4¢¢¢5 4¢¢1¢ 4¢¢15 4¢¢2¢ 4¢¢25 4¢¢3¢ 4¢¢35 ‘203 RRLGTH = RRLGTH + TRLGTH RDCK = RDCK + DCK RHEAD = RHEAD + HEAD RYLD = RYLD + TYLD PRINT TAB(¢) RRLGTH ; TAB(32) RDCK ; TAB(G) RWOT ; TAB(13) RYLD ; TAB(Zl) RHEAD TAB(46) RTNRGY STOP NEXT 2 END . REE 3 SUBROUTINE TAB 3 DUN = z¢ - SMALL IF DUM< ¢ THEN DUN = ¢ IF DUI-I)((K-1) 3 DFI) THEN DU‘II = (K-1) 3 DFI R = 1 + DUE/DFI IF R = K THEN R = K — 1 XAL = G¢(R) + ((G¢(R+1) - G¢ (R))/DFI) 3 (DUM -(FIX(R-l) 3 DFI)) END REN 3 SUBROUTINE RANDOM 3 Y¢ = RND(¢) DUN = Y¢ - SNALL IF DUI-K ¢ THEN DUM = ¢ IF DUN)((K—1) 3 DFI) I = 1 + DUN/DFI DENDmI=(R4)3INI IF I = K THEN I = K - 1 XBAL = F¢(Z) + ((F¢(Z+1) - F¢(Z))/DFI) 3 (DUN -(FIX(Z-l)) 3 DFI RETURN END REM 3 SUBROUTINE GAMMA 3 TD = 1.¢ FOR T¢ = 1 TO 01 R¢ = RND (¢) IF R¢ = ¢ GOTO 4¢¢1¢ TD = TD 3 R¢ NEXT T¢ XCAL RETURN — LOG (TD)/(FIX(Ql)/Sl) APPENDIX C GAMMA DISTRIBUTION FUNCTION APPENDIX C GAMMA DISTRIBUTION FUNCTION In any activity or project there is a time lag or delay between initiation and completion. Tnis type of delay is frequent- ly encountered in aggregative processes wnere streams or flows made up of many entities are subject to delays which vary Irom entity to entity. Examples are the rate of adoption or an attitude or innovation, the aggregate growth of capital in an economy and the rate at which plants reach maturity. Tnis type of delays can De modeled by a dirferen- tial equation such as shown 1n this appendix. Delays come In different orders depending on the aiSErioution function of tue delay. The order of the delay is defined as the order 01 the differential equation. 204 205 APPENDIX C GAMMA DISTRIBUTION FUNCTION k k—l k-l _ P. dE(t) Q d EH?) 2 dB(t) .3 Mt) " {1:} dt + I‘D.) dt k-l + + k[k] dt + “(m ('1 expected average delay (no. of years to complete a project) N“ 7‘ = order of the delay E = rate of completion scheduled per year when N = O, B(t) = E(t) which implies instantaneous completion k = l, E(t) = D* dB(t) + E(t) (exponential distribution) dt k co. B(t) = E(t-D) ’k-é 93, the time profile of the completion approaches the normal distribution. APPENDIX D CHI-SQUARE ANALYSIS OF RANDOM VARIABLES APPENDIX D Among the parameters used in the rice mill performance model were three random variables. These were moiSture content, purity of paddy and drying delay. Base data from the WOIK of tamacho, et al., (1978) was analyze to determine the hind or distribution function for these variaoles. The hyp0theses that the distribution function for these variables was a normal curve was tested by the chi-SQuare test. Table D1 shows the Chi-square value computed for maisture con- tent of samples taken from rice mills used in the study. The Chi- square value was 12.55 which is less than the tabular value of 13.3. This indicates that the distribution function is normal. The same is true fbr Table D2 which Shows the analysis for purity of paddy and the cumulative prooability table for drying delay. 206 207 mN.N mmc.o Hmoc.o Vb.N mv.m o.mH H m.v~ o.mdld.va 4w>m4 mvzoa eumecmpm m<.~ mv.H mv.o um.o. sm.~u sm.mu x scum coauma>oc c.v~ o.mH o.~H c.Ha c.oH o.m announces m 5H mm mm o m .cope em>uomac m.mH . m.md m.HH m.oH m.m m.c ucaoancaz c.¢~u~.ma o.m~ua.mfl o.m~ua.aa c.HHnH.oH o.o~u~.a o.maa.o .o.: uo once: as n : mm.H n xm afiaosm.aa u x a .azmezoo mzzemoo: mAAH: mUHm 205m mfiqmzQaquom2o S .3 3 3 2 NH 3 3 o m ufioaéE as n : ¢.m n xm o<.oH n x m><;ma czH>=a 208 qu>m4;muzoa ogaeccum . Hmc.o Hmo.o ch.o moc.o coo.on sao.oa camo.on x soec coauao>oc cc.H omm.o mom.o vsa.o mem.o mmo.o Heo.o announces m ca ma cm «H o v .cmpe eo>gomso aaa.o Ham.o ooa.o mem.o mmo.o seo.o oma.o. ucooaaca: cc.Husaa. omm.uooo. mom.nmsc. vsc.aqca. mom.smmc. mmo.nmco. Heo.on spans; co mean: so u : Axmvmao.o u xm mom.o u x .scneH=2m >=c so mamaHonHa<4=:=o mze az< muaazam saaa<:< mm4 31 23 13 -X -X ‘ XHULL = ‘ ' kHERAN = =-X SAND = XSTRAw = CBRAN = XBROKEN = ’ ’ XDBRAN = BREW = — ‘ XPOLISH = V "' 455A X ST —X — y ‘BRO C Y ‘HU ' ’ XFBRAN = ’ V —X B - chRE PO 215 F(25) F(20) 1%(27) F(28) F(29) .F(30) F(3l) F(32) F(33) F(34) APPENDIX G VALUES OF LINEAR NETWORK COEFFICIENTS APPENDIX G TECHNICAL COEFFICIENTS (K), MATERIAL COST (X) AND PROCESSING COST Lf(Y) Values of K, X and f(Y) for a one-ton per hour conventional mill and IR-26 rice variety are listed in the appendix. The values for the technical coefficients were obtained from' the work of Manalabe, et al., (1978). The values of material cost were obtained from the price list of the National Grains Authority (1978) and the processing cost was from measurements taken from three rice mills described in Section 3.4 and Appendix A. These values were used in the linear network equations that gave the cost of milled rice (See Appendix H). The results are valid for IR-26 or any medium length and bold shape grain (See Appendix J). The model is also applicable to rice mills ranging in size from one- fourth to one and one-half tons per hour capacity equipped with at least two whiteners. 216 217 APPENDIX G Values of K,X and f(Y) for a one-ton/hour conventional rice mill and IR-26 rice variety. I K = 00 = r = 11 1 15 K21 no data R37 1.05 K12 = 1,0 K25 = 0.67 1.24 = 1.20 K13 = 0.075 K26 = 1.03 “14 = 0.249 K27 = 1.03 . = , ( = . . YIS l 0 128 1 O3 hlG = QQS K29 = 0.0 hl7 = 0.06 £31 = no data RIB = 0.0808 K41 = no data K19 = 0.005 L43 = 1.04 X1 = ? 1.00/kg. paddy X14 = P 0.05/kg. hull x21 = 0 X16 = ? 0.40/kg. dark bran X01 - 0 X17 = P 0.50/kg. medium bran = ' = , 1‘7. . 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OH>NHxLHxvmxombexwm ”mzzme mzom UZHZHmEOU Gz< UZH>mHAQEHm x x O bmxmmxmm xmvvaOth mm x x I mm mv Hmwmaxmmxmmxmmx I x xv n :ova x NH x N mm 0 x x wmxomx stop chum ll sump :uom spwu spam 223 ooHH.H + OH» mmHsooo.o + mo.0IoH> umqoov.o + HIoH> mmoum.o + mm.0IoH> mommmm.m + om.ooH> mowmvo.o + so.oIoH> Naommvo.o + av.ooa> mmmm.H + vH.oIoH> qmqmqooooc.o u on >mm>oomm a smqomv.o + HIoH> mmosm.o + mm.oIoH> mommmm.m + mm.ooa> mommeo.o + no.0Iofls Nammmvo.o + Hq.ooH> mmmm.H + «H.0Ioa> «mmqooooo.o n on >mm>oomm Mao: yum :HHB ”magma. MEOm UZHZHmEOO Qz< OZH>hHALEHm APPENDIX I RESULTS OF THE RICE MILL PERFORMANCE MODEL SIMULATIONS APPENDIX I This appendix includes the results of the mill perfOrmance modeling. Tables Ii to 142 are the results of the simulation run of 12 rice mills in their regular and modified configuration. An input of 10 tonnes paddy was used for each run. The values obtained for each run varies because of the use of three random input data (moisture content, purity and drying delay). Drying delay affects the head rice and discolored grain percentages. This simulation process is discussed in more detail in Section 5.1. The output data includes the following variables: (1) Time - milling time in hours. (2) Output - milled rice output in ton. (3) Recovery - total milled rice recovery or milling yield in percent of clean input paddy. (4) Head — head rice recovery in percent of milled rice output. (5) Discolored - discolored (yellow) grain in percent of milled rice output. (6) Energy - energy usage per run in kwatt-hrs. The data used in the simulation are as follows unless specified on the table of a particular run. (1) Bin Capacities (ft3)/m3 Huller Bin (HBIN) = 0.244/0.0069 Sifter Bin (SFBIN) = 0.270/0.0077 Paddy Separator Bin (PBIN) = 0.313/0.0089 Whitener Bin (WBIN) = o.3so/o.010 (2) Number of Paddy Cleaner (CPN) = 1 (3) Huller Type (HT): Disc (4) Grain Shape (GS) = 3.0 (5) Grain Type (GT): Medium (6) Drying Method (D11): Sun 224 225 - (7) Growing Season (Seas): Net (8) Input (I) = 10 ton:. (9) Whitener Type (WT): Cone (10) Number of Paddy Huller (HNP) = 1 Model Numbers are those used by the manufacturer as in Table 5.1 of the text body. Those model numbers with apostrophe are modified models. The fbllowing abbreviations in addition to those given above were used in the tables. (1) Rice Mill Capacity (RCAP) (2) Paddy Cleaner Capacity (PCCAP) (3) Number of Paddy Cleaner (CPN) (4) Separator Capacity (SCAP) (5) Number of Whiteners (NW) (6) Whitener Capacity (WCAP) (7) Paddy Huller Capacity (PHCAP) (8) Separator Type (ST): Fixed or Adjus. 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H e e . on .u N a a < e a a a a a engage V IIIIIIIII‘IIIIIIlll . .mpma nonpooa momma mom mo moswm> maesoz o xHQmem< .Ho mam<9 APPENDIX P ECONOMIC VARIABLES USED IN THE NETWORK EQUATIONS fiat 297 m .0: mocoaomom com \m um.umm.ofl mo.va um.umo.m mm.mwo.u oo.oou.mv mm.mum.om oo.ooo.om mo.wmv.m oceanomm mm.mmu.u oo.omH so.uom.m um.umq.m um.mfim.om mo.muo.mfi oo.oom.mH mo.umu.fl occuoom um.wuv.m mo.mu mo.uoo.H mo.vmm.m mo.oom.mH mm.mmm.u oo.oco.m um.now ommuomm m h a H H 0 Q m L m H H o a .h:\.ux amoo amme . 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Ho.~v A-.n~V on.o a~.aa An.n~ ¢.¢ H nouaas fiamauuuucoo ~a.~ on.~ on.“ .Ao.~v A_e.h~v on.” oe.mn. ~n.n~ ¢.¢ d so.u.=«aaou uafifias Hoouacouuu occum ow.“ 0H.~ .su. “on.~v Ann.av hm.» n5.os Hm.n~ o.m H uofifiss “on“: ofiauufiaz ¢n.n as." on." an.“ ¢~.~ ¢~.¢ na.n¢o Hm.n~ o.h¢ a . caduccdnaoo uuHHss HuouunHHou nopaaz an.” ~m.~ Nu. “a".ev Aa~.«v «~.o fia.oo~ ~n.n~ o.- a noun u~m=.u "Hop “upnau su.¢ ea." on.n we.“ anc.~v on.” ma.¢- an.n~ n.o e “eggs; “noun .lnuxov uxuawoum nuxwu‘ lldwoe\wv \MAuxwv n.oE\uu ¢o«uu> NooH Rama «on Rm" Hqsuo< no» yum mauHHea.souu com maaauso cuoopo awn-An uGHHHuz «you coaunuHHHua wscu>am oaco>o¢ maHHHHx «oak voHHuz an .o: .nsaosau .couq.a«o-n uo>H¢ Hoo«n\uaaauuu>u mauHHaa o>auacuouHo you sea nan uuuoua can caca>o¢ .m.~ canon .00 u m xHozmmm¢ APPENDIX Q COST OF RUBBER ROLLS >IPF-ufi0n-A-A- < 300 mon~m:n . afiwo oc>an .auufiam :nwo wzausom> u uHan mmnam huwo =q=a=m omucmum \ wm-ooum .Hob 0min: zaHu ouo mu :mhmuao .zauanma snwo .hmeHmb .occHH loucm cmummnm aufiu coaooaa .mccowzfim .cmoz Huccfiacz NH .2: « gunfigho .azfia snwo haHo ammz .uaoham hmmaaawa: mHmpzmH .omea:mm HHnmm . auzmaecm .occmzuoh saw Hausa: wsglzou> cm-o:umm .Hce .mfiwuaz chum: .Huuxmz ..uxm came ucomwm anm _ mzozmmth mmlomo moH>=mm mmu:o=mmdm .mUHm AHo>menHHozzH> .uOOHh c:m u omomuuo o>Hazumxz .HHm2 OB QMHA;;< m: ;%MMIH:4<> zHlmQH=C3 mmcm<=v Ezouzzm .<;H2< maO£< 230:: B02 wmmqgoz ho mz>e oz< umeu :mzhc :CL wEUHZL .EUHBOZ onza E:O:&H2 mcz<:o CE Bomwzaw mz< wuowz; ;;< oHnmo .uouHuLw>o no tonaHzo .wonhumcu ac: :Lc uoHo: uHon wzu gasp szwmcazog; go wouzwt.“vwaMMMMfiWI.cchg;oo HHo>Huzwaxo yo: egg Hcga gag» HHL:H:cflug:n achzuccgc.awm ea“ 0; ”COanz mfi mezmmZH no mozmahox ho :.cH3 Hexawx Kc zuau:-m.m w.~ _ m.mn :\¢AH :I-H:zmox .c gaccog. oo.m:~ u oo.w . :.mm o.~ _ H.moH m\H-o _ m.mHm m\H-w _ c.w -nmmmm .......... m*ww-mmmflmnnmmwmnmem“mgwmwhnmewmm“; uwHoz zmuou Ho mozwauHa guuzmo ea poazoouH.c:H :\n|m n.o w\n untrannhmx Hofig:wfie: V ; mwum sax sou“ mcHo: szuu go eucxanficxc.:m x\H-m m.mm m\m . nnnnnnn Hex Ho zacwz. 00.0mm x oo.m . :.mm c.r- ¢.wom w\rpm ,_1 m.mmmnllm\flwcF HHHHHHHHHII. llllll . IIIUIIIIII..IH|..1.HHHUH IIIIII Uh I:.l1‘!l\lll_‘111\‘ .1111 oc.0m~ oo.oH : :.nm o.H m.n0m c.m c.:nm o.cH o.cH 00.0mm oo.w : m.mm w\m c.06m :\H-m 0.:nm o.oH 0.x oo.omH oo.w n H.mH :\n o.NwH oH\m-m n.mmm :\n-w ¢.¢ 00.00H 00.: n H.©H :\n m.:wH :\Hz& n.mmm‘ :\nuw 0.: oo.mm oc.m m H.mH :\m n.:HH m\~-: :.mmH o.c o.n oo.om ; oo.m a m H.mH :\n m.mHH w\m;: m.an w\fiic m.m momHmmmonm maq<> nude: .2: umzozH .2: muzczH .2: wmzozH gammmmwmmwz . zHWum _ Ho m4m.H-m.fi - NNN ooH o.w ow oc.om - w - om mm ”q.nuw_4 - oom\OONH mm” m» o.m on 8.3 m .. . - 2 on m 5.45 m; 9: mm m. .m mm olonH “ 530. u u “ flimcou " .m.nH u. 30m “ .Efinrcsfi 5 u “#5 u gum maoH“ mnoH .nmmHuumcoH #3325 ” team dam?“ “ “ 39862 n u . «Hand—Z .mOnHu amm< u .¢.m.D u 399 u Gamma " u "HHom vmfim” u u 33.88500 « A395 3 A5233 u u u u u n “8ng u 0:.»th mHHom pannsm oxwwmm " u n u u H «3.5 Good “ fawn you .3an 98: $3.330 "bwowmmo ” “atom“ 2mm " .30“ £33 “ma? I'IOI‘ Inl!‘ ’ 6'|‘I‘ ‘IIIII... II \II'. \Hflmumav mHHom pmnnsm. mo moofium oca meowmaofimfiooam NO mung... O NHszmmaH APPENDIX R PADDY PLANTING AREA IN THE PHILIPPINES APPENDIX R1 Palay (Rough Rice) Planting Area in 1977 Compared with that in 1976 By Region, PhiIippines Crapyear Cropyear Increase/ Region 1977 1976 (decrease) (hectage) (percent) Philippines 3,547,500 3,579,320 (0.9) Ilocos 310,860 342,590 (9.3) Cagayan Valley 432,600 418,700 3.3 Central Luzon 412,210 464,720 (11.3) Southern Tagalog 456,120 461,080 (1.1) Bicol 334,410 338,590 (1.2) Western Visayas 474,170 448,730 5.7 Central Visayas 88,000 89,600 (1.8) Eastern Visayas 180,530 181,200 (0.4) Northern Mindanao 157,810 163,840 (3,7) Southern Mindanao 164,700 162,840 1.1 Central Mindanao 392,480 367,140 6.9 Western Mindanao 143,610 140,290 2.4 Source: Bureau of Agricultural Economics 302 APPENDIX S RICE MILL STATISTICS IN THE PHILIPPINES __ APPENDIX 51 STATISTIG ON THE RICE INDUSTRY IN'THE PHILIPPINES Statistical Datta. Based on an Early 1973 Survey E - haleberg Rico Milling Unit C - Comercial Rice Mill (Cone Type) 3()3 Name of the Total Rioeland Number of mommlives‘ Rice Mills Warehouses Province in hetero .Farmer No. Members E C No. m 4+ Emilies Ilocos Norte 30,023 350613 23 3, 351 332 - 8 155,200 Ilocos Sur 27,344 26,157 58 5,764 128 1 14 225,00 Abra 22,436 15, 605 11 865 79 1 5 37, 600 La Union 23,941 23,744 35 2.335 202 2 12 322,000 Pangasinan 124.902 81.359 35 10,449 449 85 107 2,484,761 Zambalee 19,826 12,082 5 130 117 19 5 63,000 Batanee 79 611 0383333 871145 417 776 25 1a 591 523 70 255 1, 985, 250 Kalinga- Apayao - u? —? 1 521 1 ? Mountain Province 551 034 451 593 99 3 16 479 .400 Benguet Ifugao Isabela 112.379 45.445 22 5.750 227 33 128 2,516,600 Nueva Vizoaya 30.970 14.767 9 936 86 13 82 1.409.000 Tarlac 97.114 34.448 17 5.279 152 55 66 1,136,000 Pampansa 73.593 22.023 24 2.763 81 93 141 4.217.100 Bataan 20,111 6,405 6 318 25 47 64 1,390,750 Bulaoan 67.730 29.778 19 2.512 63 198 239 3,048,200 Nueva Ecija 167,261 55.465 31 15,875 125 170 477 9,379,080 Rizal 15.046 7.954 39 3. 656 49 46 56 522,100 Gavite 34.557 17, 995 12 386 73 93 153 943,000 Batangaa 69,798 47,356 16 3,293 221 11 - 96 201,780 manna 39.325 15.259 18 1.182 93 89 127 1,192,320 Quezon 60,633 39, 931 10 2, 171 31 2 34 62 148, 240 I-iarindumie 16,474 10,453 5 1, 103 45 1 28 3, 693, 880 Mindoro 0r. 45.957 21,232 6 384 107 18 25 1,012,000 nindoro 000. 21,581 7,576 3 182 84 2 40 1,194,300 Camrines Norte 14,970 7,324 3 330 45 15 17 142,500 Camrinea Sur 112,277 57,320 15 2.914 462 64 142 1,501,600 Sorsogon 27,298 15,617 5 83 62 12 60 241,800 Catanduanes 10, 275 7, 968 8 176,800 Mas‘oate 28, 602 12, 261 2 529 66 5 50 125, 000 11.11. a E. Samar 102,133 60.396 10 738 117 22 65 127,807 - Northern Ley‘be 74,689 45,195 12 907 151 53 112 987,170 Southern Ley'te 8,509 8,334 2 543 23 11 4 4,310 "1 3(14 Statistics on the Rice (cont'd) Name of the Total mceland Number of Coomrativee Rice Hills Warehouses ' Province in Baotare .Famer N0. Hembere E C No. Capacity ..- gEeeiliee. Bohol 44,883 40,535 10 9,600 49 46 30 67,342 Cebu 3,818 3,800 7 70 61 26 98 3,693,880 Negros 0r. 17,911 12,101 4 505 72 33 25 59,770 Negros 066. 83,477 36,748 35 25,246 97 41 99 921.200 Iloilo 157.699 69.634 30 2.152 444 70 45 1.157.090 Capiz 54,214 27,634 10 915 160 29 49 527,680 Antique 39.977 25,640 2 626 148 5 11 52,700 Aklan 24,149 19,129 2 138 66 1 6 13,000 Romblon 10,114 8,367 1 240 45 9 17.800 Palawan 19,853 17,207 73 5 3 14,000 Sulu 14,916 10,504 14 2 25,000 Surigao del Norte 14,092 8,728 2 427 30 5 11 104,700 Surigao del Sur 25,939 14,910 4 250 39 3 10 101,500 Agusan N. 4.5. 18,449 10,822 5 2,332 30 18 47 284,000 Bukidnon 23,555 13,788 4 474 128 29 12 406,000 Davao N. 2,5. 43,911 30,384 11 2,423 239 110 53 635.050 Misamie 0r. 8,202 5,843 4 216 20 23 25 1,012,000 Hisamie coo. 13.784 12,117 2 6o 54 25 31 473.410 Lanao del Norte 24.852 12,221 3 182 83 33 38 672,450 Lanao del Sur 54,416 24,285 4 240 35 2 31 75,608 Cotabato N. e S. 251,278 105,389 19 1,744 505 89 178 8,720,117 Zamboanga del Norte 18, 547 15, 941 6 604 48 9 13 44, 700 Zanboanga del TOTAL 2,760,402 1,469,757 661 117.296 7.383 1.929 3,662 63,876,045