AV HV aD oO THESIS Deh Ue SUPT na eee F.O, GRAHAM F. W. OPENLANDER 19.17 Copy TRESIS Cor. \ C Ofy THESIS Co } | The Construction of a Doublie-current Generator A Thesis Submitted to The Faculty of MICHIGAN AGRICULTURAL COLLEGE By ¥F,0O.Graham F .W.Openlander Candidates for the Degree of Bachelor of Science June, 1917. TH esis ~ -& 4 \ Preface. The object of this thesis was the reconstruction of a dynamo-electric machine from a direct current motor into a rotary converter, or double- current generator. Also the construction of three s.ngle phase transformers, suite able for changing the voltage of the alternating current obtained from the above machine, to a number of convenient voltages for laboratory use. In working up the best methods to employ in the different steps of the construction, we are greatly in- debted to Professor A.R. Sawyer and Professor M. M. Cory for their supervision and helpful suggestions. We are also very grateful to the men in charge of the pattern shop, the machine shop, and foundry for sce generously aid= ing us in the matter of machinery tools and timely advice. In tne text which follows, we have endeavored to give a very careful discussion of the problems solved and the methods used, so that they may be readily understood by those having a general knowledge of mathematics and machine shop methods. Signed, The Authors, Chapter I. ELIP-RINGS AND END FRAME CONSTRUCTION, “The machine used in this work was a Westinghouse two horse power, direct current motor driven by another ‘motor of the same size and type. Our object was to re- puild the machine so that it would deliver three phase alternating current in addition to direct current. The first thinz done was to build a new end frame for the pulley end of the motor, which would place the bearing far enough away from the armature to allow space for three slip-rings. Blue-nrint No.I sows the are rangement of slip-rings and brushes. Instead of building a pattern for the frame, we decided to remove the one from the commutator end end duvlicate it for the slip- ring end. To do tnis, it was necessary to build a core- box, as shown in blue-print No.ITI. This core was turned out on a lathe and then tne core-box was made by means of a plaster-of=-Paris cast. In order to use the frame for a pattern, it was necescury to plug all openings. The plugs for the ends of the bearing were made in the form of core-=prints. In places where finish was needed, we fastened heavy strips of naste-board to the pattern. This gave plenty of extra stock for machining. The ulternating current brushes were ordered from the Generali Electric Company and it was necessary te design a suitable yoke to support them. Blue-vnrint No. IIIT shows a full-size drawing of the yoke which. we built for this purvose. It is secured to tne collar on the inner end of the bearinz, by means of a set-screw. A pattern was made for a brass cylinder 4.75" outside, and 3.75" inside diameter. Three slip-rings were turned from this cylinder, each of them being 0.625" wide and 0.375" thick. These slip-rings were insulated from the shaft by a wooden cylinder whose outside diameter was equal to the inside diameter of the rings and whose inside dia- meter was the same as the diameter of the shaft. This wood- en cylinder was secured to tne shaft by a set-screw with a counter-sunk head, the head being covered with insulatinz wax. Short screwe were used to fasten the slip-rings to the wooden cylinder. Holes were drilled laterally in the insuletinz cylinder to provide conduits for the connections to the armature windings. It was found that the shaft of the machine vas too short for the new arramgement, therefore a short niece of steel was welded on to the end by the oxye- acetylene process. The studs which carried tne brush-holders, were carefully insulated from the frame to vrevent grounding. ChapterII. TRANSFOR RS, the transformers constructed were of the low- voltage shell type, end were designed for 78 volts primary and 6, 18, 12, and 110 volts secondary. The most simvle transformer to meet these requirements is the auto-trans- former, three of which were constructed. We were somewhat handicapped in our design by the fact that it was necessary to use punchings which were originally designed for another transformer. As a result tne core appears somewhat out of proportion to the coil. Ail computations for size of wire, number of turns, volume of core, etc., were based on a design as given in "The Flements of Mechanical and Flectrical Engineering", (Sup- plementary Volume), published by the International Text-book Company. Design of a Single Phase, 0.5 K, W., Shell-type, Auto-transformer: As we have a 2H.P. machine, the total power will be approximately 1500 watts. Hence the watts per phase will be about 500. Therefore we shall design a 500 watt trans- former for each phase. D.C. voltage = 220 volts. A.C. voltage, (Y-connection) = 78 volts. Secondary voits = 78. Desired primary volts = 110. Assumed efficiency = 93.5 7, Input = 500/.935 =535 watts Therefore the total loss at full load should not exceed 35 watts. This loss is divided approximately as follows: Copper loss = 20 watts Hysteresis loss = 12 watts Eddy-current loss = 3 watts Total loss = 35 watts The loss per cubic inch of core, for 60 cycles, at a density of 30000, is about 0.15 watts. Therefore the volume of the core is, 12/.15 = 80 cu.in. The area of the punching is, (5,53 x €.92) - 2 (2.2 x 3.23) = 35 sq.in. Use 34 sq. in. to make allowance for champfered corners. Then the tnickness of the core becomes: 80/34 = 2.35", Make the core 24 inches thick. The total amperes input at full load is, Primary watts / Primary volts = 535/78 = 6.856 amps. The maximum current which the wire must carry is, 6.85/K 78 x 6.86/110 110/72 X if 4.76 amperes. Allowing 1200 circular mils per ampere to get the size of the conductor, we have, 4.76 x 1200 = 5712 or approximatel¥ 6000 cir. mils. From this we see that #12 or #13 will be close enough for our purpose. Width of core = 2.187" Depth of core = 2.500" Length of core = 3.230" #12 wire is about 0.1" thick including insulation. The primary coil has to be provided with a suffi- cient number of turns to generate a counter electromotive force equal and opposite to the impressed electromotive force. The number of turns required to set up this electro- motive force will depend upon the magnetic flux ¢ which threads through the turns. The maximum magnetic flux tnrough the coil will be; J = Bmax X A. Where Bmax is the maximum value which the magnetic density reaches during a cycle, and A is the area of cross-section of the iron in the core. In this case Bnax is 30000 lines per square inch, and the area of cross-section of the iron is, 2.5 X 2.187 = 5.46 sq.in. hence, Z = 30000 x 5.46 = 163800. Taking tne electromotive force generated in the primary as the equal and opposite of the line voltage, we may write, Eo = 4.44 9 Tp) n/10° where, @ = tne maximum value of the magnetic flux thru tne core; Tp = the number of turns on the primary coil; n = the frequency, ( cycles per second ). Ep = the impressed primary voltage. Apolying tne above formula to the case in hand, we have, 4.44 x 163800 x Tp x 60 78 = SB 22 ener wn@Qeeen eee Banana a 108 78 x 10° Tp —- Seow we oe an © oe ww ow me wo 4.44 x 1638 x 6 17@.6 turns. Use 180 turns for the primary. the total number of turns for the 110 volts will be, Tt = 180 x 110/78 = 254 turns. Knowing that the core is 3.23" long and tnat #12 wire is 0.1" in diameter, we find the number of turns per layer of wire to be, 3.23/o.1 = 32.3 Use 30 turns to allow for tapeing. Now there are 254 turns in all; hence the number of layers required is, 254/30 = &.5 layers. Allowing for wedging tyne coil and for clearance, we find tne inside perimeter of the coil to be, P) = 10.5620" Adding tne thickness of 8.5 layers of wire, we find tne outside perimeter of the coil to be, Po = 17.42" The average perimeter is then, Pj + P./2 Pa 10.625 + 17.42 2 = 14.02" The total length of wire, in feet, for all three transformers is found to be, Pa x N Lt = cecn--ee X 35 12 14.02 X 254 12 890 feet. No. 12 wire weizhs 19.8 pounds per 1000 ft. Therefore the total weight of the wire needed becomes, 19.8 x 0.890 = 17.5 lbs. The number of turns of wire reuuired to give one volt 1s 254 / 110 = 2.31 turns. Knowing this relation, it is easy to get any desired voltage from the transformer, by simply winding on the reqe- uilred number of turns or by taking off a t@p at the proper turn. After constructing one transformer, it was tested with tne following results: No Load E | 78 volts -045 amps W 16 watts P.F. 64 7% Chapter III. SWITCH BOARD. For convenience in laboratory use, we constructed a wooden switch-board tnree feet wide and four feet long. The idea, in the design of this board, was to have all wir- ing amd apparatus in plain sight for the benefit of the student, rather than concealed wiring as is done commercially. For example, our transformers were not cased, thus rendering them easy of access for inspection and study. The direct-connected motor generator set was placed on the floor, directly below the switch-board which was ele- vated upon a standard two feet high. 220 volt leads to the motor were brought to the top of the board. Space was provided on the board for the starting box and also for a speed reg- ulator, so that alternating current of a variable frequency could be obtained. The rest of the apparatus on the board included the following generator auxiliaries; one alternating current voltmeter, one direct current voltmeter, and three trans- formers mounted along the lower portion of the board, one side of each being connected to one ring of the armature and the other to a common neutral. The general arrangement of the switch-board and connections are shown on blueeprint No. IV. The diagram shows tne method of makinz connections in order to obtain alternating voltages ranging from 6 to 155 volts, also 110 or 220 volts of direct current. 10. aupeaesmee _ yvIQ7I0H HSAYT 7 ‘MIONUINTSO BP WiHuw> 1 eye) Me hg ae Be Sh ae ota rh NS Ae ke Lat Per Te A cl a ROOM | c 2 eb c CH! Y hs, ps Oe he eB e 4 . ‘4