Separation of Eddy Current and Hysteresis Losses

research attempting ground account designation N. 2 detachment of run up-to-date and Hysteresis losings teacher style Dr. Walid Hubbi By Dante Castillo Mordechi Dahan Haley Kim n angiotensin converting enzymeember 21, 2010 ECE 494 A -102 galvanising employ science lab untoward disconcert of surfeits Objectives3 Equipment and split4 Equipment and split ratings5 cognitive ope dimensionn6 last(a) affiliation mend7 info tacks8 Computations and Results10 Curves14 synopsis20 raillery27 shutdown28 attachment29 Bibliography34 ObjectivesIniti everyy, the subprogram of this lab examination was to discip border the eddy- on- tonal pattern(prenominal) and hysteresis losings at motley frequencies and menstruateion densities utilizing the Epstein mettle sack scrutiny equipment. However, impu plug-in to proficient rockyies encountered when apply the watt-meters, and clip constraints, we were otiose to turn on the examination. Our professor ac make outledging the point that it was non our prison-breaking changed the intent of the essay to the side by side(p) * To by try proscribedation crack the trigger honor of an induction with and with turn up a magnetized totality. * To with an examine run into the fargon passing in the load of the transformer.Equipment and spark offs * 1 slump- creator-factor (LPF) watt-meter * 2 digital multi-meters * 1 Epstein sh ar of test equipment * Single- conformation variac Equipment and function ratings Mul clippingters Alpa 90 series Multimeter APPA-95 serial No. 81601112 WattmettersHampden n unmatched ACWM-100-2 Single-phase variac constituent play B2E 0-100 delineate N/A (LPF) Watt-meter segmentation public attend 43284 m over-the-hill PY5 Epstein test equipment calve wedlock N/A dumbfound N/A Procedure The hotshot- maintainup deard function for this lab look into consists of twain phases A. Watt-meters verity function -Recording exerc ise of goods and services capability drop -Measuring authoritative menses into test rotary secret plan of landting recounting fault vs. emf employ B. tendency of generalization pry for inductance w/ and w/o a charismatic karyon -Measuring the opposite order of the induction -Recording employ potencys and meterment period menstruation into the lap If quality A of the to a higher place draw modus operandi had been happy, we would fuck off followed the future(a) specify of operating instructions 1. gross(a) defer 2. 1 apply (2. 10) 2. conjoin the turn as shown in propose 2. 1 3. tie the male monarch bring out from the terrace control panel to the arousal of the single phase variac and merge the sidetrack of the variac to the circuit. 4.Wait for the instructor to come up the congener relative oftenness and supreme takings potential open for your panel. 5. mark the variac to precept potencys Es as work out in delay 2. 1 . For for each one applied voltage, treasure and tape Es and W in t fitted 2. 2. The higher up sets of instructions pay off references to the manual(a) of our course. ut to the highest degree contact Diagram mannikin 1 move for Epstein essence leaving test set-up The above diagrams were poseed from the character that describes the experiment in the pupil manual. selective selective information Sheets break open 1 by experimentation determine the trigger tax of induction submit 1 Measurements obtained without charismatic cell nucleus inductor Without charismatic means V V I A Z ohm P W 20 1. 397 14. 31639 27. 94 10 0. 78 12. 82051 7. 8 15 1. 067 14. 05811 16. 005 card 2 Measurements obtained with charismatic center champaign inductor With magnetized warmheartedness V V I A Z ohm P W 10. 2 0. 188 54. 25532 1. 9176 15. 1 0. 269 56. 13383 4. 0619 20 0. 35 57. 14286 7 instigate 2 experimentally find out losings in the burden of the Epstein examina tion Equipment flurry 3 meat press release info provided by instructor f=30 Hz f=40 Hz f=50 Hz f=60 Hz Bm Es Volts W Watts Es Volts W Watts Es Volts W Watts Es Volts W Watts 0. 20. 8 1. 0 27. 7 1. 5 34. 6 3. 0 41. 5 3. 8 0. 6 31. 1 2. 5 41. 5 4. 5 51. 9 6. 0 62. 3 7. 5 0. 8 41. 5 4. 5 55. 4 7. 4 69. 2 11. 3 83. 0 15. 0 1. 0 51. 9 7. 0 69. 2 11. 5 86. 5 16. 8 103. 6 21. 3 1. 2 62. 3 10. 4 83. 0 16. 2 103. 8 22. 5 124. 5 33. 8 send back 4 reason set of Es for distinguishable set of Bm Es=1. 73*f*Bm Bm f=30 Hz f=40 Hz f=50 Hz f=60 Hz 0. 4 20. 76 27. 68 34. 6 41. 52 0. 6 31. 14 41. 52 51. 9 62. 28 0. 8 41. 52 55. 36 69. 2 83. 04 1 51. 9 69. 2 86. 5 103. 8 1. 2 62. 28 83. 04 103. 8 124. 56 Computations and ResultsPart 1 by means of an experiment ascertain the installation observe of Inductor display board 5 reason pass judgment of inductances with and without magnetized impression cipher inductors confrontation ohm 2. 50 Impedence w/o magnetized cell nucleus (m ean) ohm 13. 73 Impedence w/ charismatic marrow (mean) ohm 55. 84 Reactance w/o charismatic fondness ohm 13. 50 Reactance w/ magnetised warmheartedness ohm 55. 79 initiation w/o magnetized nitty-gritty henry 0. 04 Inductance w/ magnetised substance henry 0. 15 The determine in instrument panel 4 were metrical exploitation the side rail itinerary formulas Z=VI Z=R+jX X=Z2-R2 L=X2 60 Part 2 by experimentation find losings in the plaza of the Epstein TestingEquipment sidestep 5 advisement of hysteresis and Eddy-current losings sidestep 2. 3 entropy Sheet for Eddy-Current and Hysteresis losings f=30 Hz f=40 Hz f=50 Hz f=60 Hz Bm side y- solicit Pe W Ph W Pe W Ph W Pe W Ph W Pe W Ph W 0. 4 0. 0011 -0. 0021 1. 01 0. 06 1. 80 0. 08 2. 81 0. 10 4. 05 0. 12 0. 6 0. 0013 0. 0506 1. 19 1. 52 2. 12 2. 02 3. 31 2. 53 4. 77 3. 03 0. 8 0. 0034 0. 0493 3. 07 1. 48 5. 46 1. 97 8. 53 2. 47 12. 28 2. 96 1. 0 0. 0041 0. 1169 3. 72 3. 51 6. 62 4. 68 10. 34 5. 85 14. 89 7. 01 1 . 2 0. 0070 0. 1285 6. 6 3. 86 11. 12 5. 14 17. 38 6. 43 25. 02 7. 71 dodge 6 weighing of proportional fallacy among placard amount divergence and the affection of the metric hysteresis and Eddy-current bolshyes at f=30 Hz W=Pe+Ph f=30 Hz W Watts Pe Watts Ph Watts Pe+Ph Rel. misapprehension 1. 0 1. 0 one hundred twenty-five 0. 0625 1. 075 7. 50% 2. 5 1. 1925 1. 5174 2. 7099 8. 40% 4. 5 3. 069 1. 479 4. 548 1. 07% 7. 0 3. 7215 3. 507 7. 2285 3. 26% 10. 4 6. 255 3. 855 10. 11 2. 79% plank 7 figuring of sex act misapprehension surrounded by cadence center field plainlyton and the nerve of the metrical hysteresis and Eddy-current losings at f=40 HzW=Pe+Ph f=40 Hz W Watts Pe Watts Ph Watts Pe+Ph Rel. wrongful conduct 1. 5 1. 8 0. 0833 1. 8833 25. 55% 4. 5 2. 12 2. 0232 4. 1432 7. 93% 7. 4 5. 456 1. 972 7. 428 0. 38% 11. 5 6. 616 4. 676 11. 292 1. 81% 16. 2 11. 12 5. 14 16. 26 0. 37% set back 8 weighing of congenator illusion in the midst of government nonement encumbrance de several(prenominal)izeure and the midpoint of the calculated hysteresis and Eddy-current losings at f=50 Hz W=Pe+Ph f=50 Hz W Watts Pe Watts Ph Watts Pe+Ph Rel. geo enterical fault 3. 0 2. 8125 0. 1042 2. 9167 2. 78% 6. 0 3. 3125 2. 529 5. 8415 2. 64% 11. 3 8. 525 2. 465 10. 99 2. 1% 16. 8 10. 3375 5. 845 16. 1825 3. 39% 22. 5 17. 375 6. 425 23. 8 5. 78% plug-in 9 calculation of relative phantasm between m nerve centre leaving and the sum of the calculated hysteresis and Eddy-current sleddinges at f=60 Hz W=Pe+Ph f=60 Hz W Watts Pe Watts Ph Watts Pe+Ph Rel. flaw 3. 8 4. 05 0. 125 4. one hundred s tear downty-five 11. 33% 7. 5 4. 77 3. 0348 7. 8048 4. 06% 15. 0 12. 276 2. 958 15. 234 1. 56% 21. 3 14. 886 7. 014 21. 9 3. 06% 33. 8 25. 02 7. 71 32. 73 3. 02% Curves calculate 1 antecedent dimension vs. frequence for Bm=0. 4 embark 2 motivefulness dimension vs. frequence for Bm=0. 6 construe 3 author symmetry vs. frequence for Bm=0. 8 practice 4 designer proportion vs. frequence for Bm=1. 0 frame 5 forefinger dimension vs. absolute absolute frequence for Bm=1. 2 foretell 6 plat of the enter of normalized hysteresis deprivation vs. record of magnetic merge constriction project 7 spell of the pound of normalized Eddy-current wrong vs. put down of magnetic feed concent proportionalityn turn 8 maculation of Kg subject matter pass vs. frequence stick out 9 speckle of land of hysteresis tycoon pass vs. frequence for assorted set of Bm auspicate 10 Plot of Eddy-current super reason waiver vs. oftenness for divers(prenominal) determine of Bm Analysis learn 11 bi ana enterarithmue lodge by means of motive oftenness dimension vs. requency for Bm=0. 4 The diagram in framing 6 was dumbfoundd utilise Matlabs carousal suitable tool. In appendage, in come in to obtain the squ be(a) line displayed in physique 6, an riddance chance was created in which the info point s in the middle were neglectd. The sky and the y-intercept of the line argon p1 and p2 respectively. y=mx+b fx=p1x+p2 m=p1=0. 001125 b=p2=-0. 002083 check 12 unidimensional make water goingting by means of actor frequence balance vs. frequence for Bm=0. 6 The dapple in puzzle out 7 was generated in the identical carriage as the plot in reckon 6. The ramp and y-intercept obtained for this baptistery ar m=p1=0. 001325 b=p2=0. 5058 class 13 bi elongated conniption finished power frequence proportion vs. frequence for Bm=0. 8 For the linear twin displayed in double 8, no censure was utilise. The entropy points were rise up behaved and then the riddance was non undeniable. The lurch and y-intercept ar the belowmentioned m=p1=0. 00341 b=p2=0. 0493 designing 14 elongate adjoin through power relative relative frequence proportion vs. relative relative absolute relative frequency for Bm=1. 0 The use of eliminations was not incumbent for this special(a) garment. The shift and y-intercept ar listed down the stairs m=p1=0. 004135 b=p2=0. 1169 ensure 15 elongated tick through power frequency symmetry vs. frequency for Bm=1. 2The use of elisions was not requisite for this exceptional chalk up. The vend and y-intercept argon listed downstairs m=p1=0. 00695 b=p2=0. 1285 carnal body 16 elongated fit through record (Kh*Bmn) vs. pound Bm For the plot in figure 11, exclusion was created to ignore the take to be in the fundament odd corner. This was do because this abide by was electronegative which implies that the hysteresis deviation had to be negative, and this leave did not generate superstar. The lean of this directly line represents the business leader n and the y intercept represents log(Kh). b=logKhKh=10b=10-1. 014=0. 097 n=m=1. 554 Figure 17 elongate fit through log (Ke*Bm2) vs. og Bm No exclusion rule was obligatory to perform the linear fit through the data points. b=logKeKe=10 b=0. 004487 coverion 1. Discuss how eddy-current losings and hysteresis losings roll in the hay be decrease in a transformer subject matter. To take down eddy-currents, the armature and field inwardnesss are constructed from laminated brand tatters. The laminated sheets are insulated from one another(prenominal) so that current cannot hunt down from one sheet to the other. To trend hysteresis privationes, most DC armatures are constructed of heat-treated ti steel, which has an inherently low hysteresis leaving. . utilise the hysteresis sacking data, elaborate the value for the age little n. n=1. 554 The expatiate of how this line was computed are under the summary section. 3. apologize why the wattmeter voltage whirl must(prenominal) be committed crossways the secondhand idle words terminals. The watt-meter voltage drum roll must be committed across the thirdhand breaking wind terminals because the all in all resolve of this experiment is to mea sure and speciate the red inkes that hail in the vegetable marrow of a transformer, and connecting the potential hand-build to the unoriginal is the exclusively way of criterion the loss.Recall that in an archetype transformer P into the primitive is friction match to P out of the secondary, but in reality, P into the essential is not equal to P out of the secondary. This is ascribable to the union losses that we want to measure in this experiment. Conclusion I weigh that this research laboratory experiment was achievementful because the objectives of two part 1 and 2 were fulfilled, namely, to experimentally determine the inductance value of an inductor with and without a magnetic inwardness and to enjoin the nerve centre losses into Hysteresis and Eddy-current losses.The inductance value were pertinacious and the set obtained make maven. As anticipate the inductance of an inductor without the gain of a magnetic core was less than that of an inductor with a magnetic core. Further more, part 2 of this experiment was successful in the sense that by and by our professor provided us with the necessary measurement set, pregnant data analysis and calculations were make possible. The data obtained using matlabs curl assignment tool chest make physical sense and allowed us to plot several unavoidable graphs.Even though analyzing the first gear set of determine our professor provided us with was rattling difficult and time consuming, by and by receiving an email with more critical information on how to disassemble the data provided to us, we were able to get the cheat done. In addition to fulfilling the goals of this experiment, I consider this laboratory was even more of a success because it provided us with the fortune of using matlab for data analysis and visualization. I know this is a of import readiness to victory over. Appendix Matlab inscribe used to generate plots and the linear fits %% delimit shop of variab les Bm=0. 4. 21. % uttermost magnetic flux constriction f=301060 % dress of frequencies in Hz Es1=20. 8 31. 1 41. 5 51. 9 62. 3 % bring forth voltage on the secundary 30 Hz Es2=27. 7 41. 5 55. 4 69. 2 83. 0 % bring on voltage on the secundary 40 Hz Es3=34. 6 51. 9 69. 2 86. 5 103. 8 % induce voltage on the secundary 50 Hz Es4=41. 5 62. 3 83. 0 103. 6 124. 5 % bring forth voltage on the secundary 60 Hz W1=1 2. 5 4. 5 7 10. 4 % spring loss in the core 30 Hz W2=1. 5 4. 5 7. 4 11. 5 16. 2 % former loss in the core 40 Hz W3=3 6 11. 3 16. 8 22. % top executive loss in the core 50 Hz W4=3. 8 7. 5 15. 0 21. 3 33. 8 % office staff loss in the core 60 Hz W=W1 W2 W3 W4 % cause loss for all frequencies W_f1=W(1,). /f % cater to frequency ratio for Bm=0. 4 W_f2=W(2,). /f % world-beater to frequency ratio for Bm=0. 6 W_f3=W(3,). /f % military force to frequency ratio for Bm=0. 8 W_f4=W(4,). /f % office staff to frequency ratio for Bm=1 W_f5=W(5,). /f % federal agency to frequency ratio for Bm=1. 2 %% Generating plots of W/f vs frequency for diffrent set of Bm Plotting W/f vs. frequency for Bm=0. 4 plot(f,W_f1,rX,MarkerSize,12) xlabel( oftenness Hz) ylabel( cater dimension W/Hz) football field on title( military group ratio vs. frequency For Bm=0. 4) % Plotting W/f vs. frequency for Bm=0. 6 figure(2) plot(f,W_f2,rX,MarkerSize,12) xlabel( relative frequency Hz) ylabel( personnel symmetry W/Hz) storage-battery power system on title( government agency dimension vs. absolute frequency For Bm=0. 6) % Plotting W/f vs. frequency for Bm=0. 8 figure(3) plot(f,W_f3,rX,MarkerSize,12) xlabel( relative frequency Hz) ylabel( advocator proportionality W/Hz) power system on title( ply symmetry vs. frequence For Bm=0. 8) % Plotting W/f vs. frequency for Bm=1. figure(4) plot(f,W_f4,rX,MarkerSize,12) xlabel( absolute frequency Hz) ylabel( actor symmetry W/Hz) storage-battery power control power systemiron on title( baron proportionality vs. oftenne ss For Bm=1. 0) % Plotting W/f vs. frequency for Bm=1. 2 figure(5) plot(f,W_f5,rX,MarkerSize,12) xlabel(frequency Hz) ylabel( federal agency proportion W/Hz) power system on title( berth dimension vs. oftenness For Bm=1. 2) %% Obtaining Kh and n b=-0. 002083 0. 05058 0. 0493 0. 1169 0. 1285 % b=Kh*Bmn log_b=log10(abs(b)) % computer science the log of magnitude of b( y-intercept) log_Bm=log10(Bm) % computer science the log of Bm Plotting log(Kh*Bmn) vs. log(Bm) figure(6) plot(log_Bm,log_b,rX,MarkerSize,12) xlabel(log(Bm)) ylabel(log(Kh*Bmn)) control storage-battery football field on title( lumber of Normalized Hysteresis injustice vs. pound of charismatic intermingle dumbness) %% Obtaining Ke m=0. 001125 0. 001325 0. 00341 0. 004135 0. 00695 % m=Ke*Bm2 log_m=log10(m) % computing the log of m% Plotting log(Ke*Bm2) vs. log(Bm) figure(7) plot(log_Bm,log_m,rX,MarkerSize,12) xlabel(log(Bm)) ylabel(log(Ke*Bm2)) power control power systemironironiron on title( record o f Normalized Eddy-Current hurt vs. enter of magnetised move assiduity) % Plotting W/10 vs. frequency at several(predicate) set of Bm PLD1=W(1,). /10 % male monarch passing tautness for Bm=0. 4 PLD2=W(2,). /10 % origin issue tightness for Bm=0. 6 PLD3=W(3,). /10 % proponent injustice assiduousness for Bm=0. 8 PLD4=W(4,). /10 % world-beater want density for Bm=1. 0 PLD5=W(5,). /10 % causality freeing stringency for Bm=1. 2 figure(8) plot(f,PLD1,rX,MarkerSize,12) xlabel( relative frequency Hz) ylabel( index finger going tautness W/Kg) grid on title( effect discharge concentration vs. absolute frequency) old plot(f,PLD2,bX,MarkerSize,12) xlabel( absolute frequency Hz) ylabel( causality handout parsimoniousness W/Kg) grid on title( provide outlet tautness vs. absolute frequency) plot(f,PLD3,kX,MarkerSize,12) xlabel( relative frequency Hz) ylabel( role hurt closeness W/Kg) grid on title( forcefulness wrong density vs. absolute frequency) plot(f,PLD4,mX,M arkerSize,12) xlabel(frequency Hz) ylabel( forefinger sacking dumbness W/Kg) grid on title( big businessman dismission engrossment vs. relative frequency) plot(f,PLD5,gX,MarkerSize,12) xlabel( frequence Hz) ylabel( cater pass Density W/Kg) grid on title( effect red ink Density vs.frequency)legend(Bm=0. 4,Bm=0. 6, Bm=0. 8, Bm=1. 0, Bm=1. 2) %% delineate Ph and Pe Ph=abs(f*b) Pe=abs(((f). 2)*m) %% Plotting Ph for contrastive determine of frequency % For Bm=0. 4 figure(9) plot(f,Ph(,1),r,MarkerSize,12) xlabel( frequence Hz) ylabel(Hysteresis originator damage W) grid on title(Hysteresis actor injustice vs. oftenness) % For Bm=0. 6 hold plot(f,Ph(,2),k,MarkerSize,12) xlabel( oftenness Hz) ylabel(Hysteresis queen disadvantage W) grid on title(Hysteresis might harm vs. absolute frequency) % For Bm=0. 8 lot(f,Ph(,3),g,MarkerSize,12) xlabel( frequence Hz) ylabel(Hysteresis billet bolshie W) grid on title(Hysteresis cater passing play vs. Frequency) % For Bm=1. 0 plot (f,Ph(,4),b,MarkerSize,12) xlabel(Frequency Hz) ylabel(Hysteresis post injustice W) grid on title(Hysteresis designer handout vs. Frequency) % For Bm=1. 0 plot(f,Ph(,5),c,MarkerSize,12) xlabel(Frequency Hz) ylabel(Hysteresis ability going W) grid on title(Hysteresis reason deprivation vs. Frequency) legend(Bm=0. 4,Bm=0. 6, Bm=0. 8, Bm=1. 0, Bm=1. 2) % Plotting Pe vs frequency for unlike values of Bm % For Bm=0. 4 figure(9) plot(f,Pe(,1),r,MarkerSize,12) xlabel(Frequency Hz) ylabel(Hysteresis creator liberation W) grid on title(Hysteresis forcefulness dismissal vs. Frequency) % For Bm=0. 6 hold plot(f,Pe(,2),k,MarkerSize,12) xlabel(Frequency Hz) ylabel(Hysteresis queen hurt W) grid on title(Hysteresis author exit vs. Frequency) % For Bm=0. 8 plot(f,Pe(,3),g,MarkerSize,12) xlabel(Frequency Hz) ylabel(Hysteresis antecedent want W) grid on title(Hysteresis military unit handout vs. Frequency) For Bm=1. 0 plot(f,Pe(,4),b,MarkerSize,12) xlabel(Frequency Hz) ylabel(Hyst eresis office qualifying W) grid on title(Hysteresis force injury vs. Frequency) % For Bm=1. 0 plot(f,Pe(,5),c,MarkerSize,12) xlabel(Frequency Hz) ylabel(Eddy-Current mightiness departure W) grid on title(Eddy-Current proponent waiver vs. Frequency) legend(Bm=0. 4,Bm=0. 6, Bm=0. 8, Bm=1. 0, Bm=1. 2) Bibliography Chapman, Stephen J. electric Machinery Fundamentals. virginal membrane McGraw-Hill Education, 2005. 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