Advanced Electric Machine Theory (EE5820)

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1 Txt boo: Advancd Elctric Machin Thory (EE5820 (C. M. Liaw P. C. Krau, O. Waynczu and S. D. Sudho, "Analyi o lctric machinry," IEEE Pr, P. C. Krau, O. Waynczu, and S. D. Sudho, Analyi o lctric machinry and driv ytm, 2nd d., Nw Yor: Wily-IEEE, Rrnc boo: P. C. Krau and O. Waynczu, "Elctromchanical motion dvic," McGraw-Hill, Ch-Mun Ong, "Dynamic imulation o lctric machinry uing Matlab/Simulin, Prntic Hall, Lyhvi, Srgy Edward, Elctromchanical ytm, lctric machin and applid mchatronic, CRC Pr, D. W. Novotny and T. A. Lipo, 1996, Vctor Control and Dynamic o AC Driv, Clarndon Pr, Nw Yor. B. K. Bo, 2002, Modrn Powr Elctronic and AC Driv, Prntic Hall, Nw Jry. R. Krihnan, 2001, Elctric Motor Driv Modling, Analyi and Control, Prntic Hall, Nw Jry. 1. Th topic covrd in th txtboo or dirnt ild: Powr nginr: (Chaptr 4,5,6,8,9,10,13 Induction motor: (4 Synchronou machin (5 Othr: Oprational impdanc (6, rducd-ordr modl (8, unbalancd opration (9,10, imulation (13. Control pcialit: (Chaptr 2,7,11,13,14 Linarizd modl o AC machin: (7 Elctric driv (2,13 2-pha induction rvomotor (11 Bruhl DC motor (14 Stpping motor ( rrnc boo Rducd-ordr modl (8 Powr lctronic nginr: (Chaptr 2,13,14, Appndix B Driv and convrtr. 1

2 Cour contnt: 1. Baic principl or lctric machin analyi Elctromchanical nrgy convrion: Driv th dvlopd orc or torqu rom nrgy or conrgy quation. Conrgy: Forc quation: variabl currnt (i and diplacmnt (x: Wc( i j, x ( ij, x x Torqu quation: variabl currnt (i and angular poition (: T Wc( ij, ( i, j Enrgy: Forc quation: variabl lux linag (λ and diplacmnt (x: W ( λj, x ( λ, x x j Torqu quation: variabl currnt (λ and angular poition (: T W ( λ j, ( λ, j Winding inductanc and voltag quation Induction motor and ynchronou machin. Som inductanc componnt ar unction o angular poition, thu thy ar tim-varying in natur. Th voltag quation ar multivariabl, coupling, tim-varying and nonlinar. 2. DC machin Dynamic charactritic: Starting and tp load chang charactritic by imulation. 2

3 Convrtr (Alo rr to Appndix B or dtaild analyi DC driv Linarizd machin quation Spd control 3. Rrnc-Fram Thory Gnral concpt o rrnc ram tranormation (Synchronouly rotating ram a an xampl Variabl in abc domain Variabl in dq domain a 2 co a 2 co ( 2 π 3 a 2 co ( 2 π + 3 qd 0 K abc q d 2 co ( ( 0 ( ( 0 2 in ( ( 0 ( ( 0 ω ω t 0 ω ( d + ( 0 t 0 ω ( d + ( 0 Th advantag o rrnc ram tranormation Th numbr o voltag quation i rducd Th tim-varying voltag quation bcom tim-invariant on Commonly ud rrnc ram Tranormation btwn rrnc ram 4. Thory o Induction Machin Voltag quation and torqu quation (mchanical quation in abc domain 3

4 vabc r + p L p L r iabc v p( T abcr L r r r + p L r i abcr W ( iabc, i, T g ( iabc, i abcr abcr 2 2 T J( p ωr + B( ωr + T L P P Voltag quation and torqu quation (mchanical quation in rrnc ram Static and dynamic charactritic by imulation 5. Thory o Synchronou Machin Voltag quation and torqu quation (mchanical quation in abc domain Voltag quation and torqu quation (mchanical quation in rrnc ram (Par quation: Th tator voltag quation ar tranormd to th rotor, inc rotor i alrady in dq domain. Static and dynamic charactritic by imulation Dynamic charactritic during ault by imulation Tranint tability analyi 6. Oprational Impdanc and Tim-Contant o Synchronou Machin Drivation o quivalnt circuit Tim contant (tranint and ubtranint o ynchronou machin Paramtr timation rom hort-circuit charactritic Paramtr timation rom rquncy rpon charactritic 7. Linarizd Equation o Induction Machin and Synchronou Machin Drivation o mall-ignal modl uing prturbation and linarization tchniqu Eignvalu Tranr unction 4

5 8. Rducd-Ordr Equation Rducd-ordr quation o induction machin Rducd-ordr quation o ynchronou machin Eignvalu Tranr unction ormulation Comparion btwn th ull-ordr and rducd-ordr modl 9. Unbalancd Opration o Symmtrical Induction Machin What ar balancd and ymmtrical? Unbalancd tator voltag Unbalancd tator impdanc Opn-circuitd tator pha Unbalancd rotor ritor (Unbalancd xtrnal rotor ritor addd in a wound-rotor induction machin 10. Aynchronou and Unbalancd Opration o Synchronou Machin Aynchronou opration: Motor tarting Pol lipping Unbalancd opration: Lin-to-nutral ault Lin-to-lin ault Lin-to-lin-to-nutral ault 11. Symmtrical and Unymmtrical Two-Pha Induction Machin 12. Computr Simulation o Induction and Synchronou Machin 5

6 vabc i abc K vqd0 ( K 1 iqd0 Solv tator and rotor currnt rom th voltag quation in dq domain Comput th dvlopd torqu vqd 0 r iqd0r ( K r 1 K r v abcr i abcr T ω r TL Solv pd rom th torqu quation ω Th philoophy o computr imulation or induction motor in arbitrary rrnc ram 13. Rrnc Fram Thory Ud in th Analyi and Simulation o Powr Sytm and Motor driv 14. Bruhl DC Machin (BDCM: Prmannt-magnt ynchronou motor + invrtr + rotor poition ning Mchanical commutation lctronic commutation Having torqu gnrating capability li a dc hunt motor Two typ o BDCM: Spd driv: Six-tp invrtr (quar-wav BDCM. Uing Hall-ct or photo nor (dicrt typ. Poition rvo driv: PWM invrtr (inuoidal BDCM. Uing abolut ncodr, ynchro or rolvr rotor poition nor (continuou typ. 6

7 Appndix: Txt boo Analyi o Elctric Machinry and Driv Sytm, 2nd Edition Paul C. Krau, Olg Waynczu, Scott D. Sudho Baic Principl or Elctric Machin Analyi. Dirct-Currnt Machin. Rrnc-Fram Thory. Symmtrical Induction Machin. Synchronou Machin. Thory o Bruhl dc Machin. Machin Equation in Oprational Impdanc and Tim Contant. Linarizd Machin Equation. Rducd-Ordr Machin Equation. Symmtrical and Unymmtrical 2-Pha Induction Machin. Smicontrolld Bridg Convrtr. dc Machin Driv. Fully Controlld 3-Pha Bridg Convrtr. Induction Motor Driv. Bruhl dc Motor Driv. Appndix: Trigonomtric Rlation, Contant and Convrion Factor, and Abbrviation. Indx. 7

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