Synchronous Generator Modeling Using SimuLink

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1 ynhronou Genertor Moelng Ung mun

2 Outlne ner Moel Ung Eulent Crut ner Moel Ung Emee Mt Nonlner Moel

3 Eulent Crut on Ax From we get m m l m t t m l r ) ( t t m l ) ( t t m l ) (

4 Eulent Crut on Ax From we get m m l m t t m l r ) ( t t m l ) (

5 Eulent Crut on Ax x t Th rut not neery or Y onnete wnng ne =.

6 Genertor Moel Ung Eulent Crut

7 Outlne ner Moel Ung Eulent Crut ner Moel Ung Emee Mt Nonlner Moel

8 Dynml Euton n Frme () t t t t t t t t t t t l m m l m m l m m l m m l r m m l r where m m

9 Dynml Euton n Frme () The euton n e wrtten n mtrx orm : V I t where m l m m l m m m m l m l m m l m m m l I r r V V I t or

10 Genertor Blo Detl

11 Emee Mt Funton

12 Intlzton o Genertor Blo

13 Outlne ner Moel Ung Eulent Crut ner Moel Ung Emee Mt Nonlner Moel

14 Dynm Euton t to trnormton t Ung lux tte rle

15 How to Get Current rom Flux? In FEM otwre, we nput urrent n extrt lux lnge. In muln multon, we nee to nput lux lnge n get urrent. The reltonhp etween lux lnge n urrent moele ung neurl networ or ure t. FEM

16 Neurl Networ We n hooe erent rhteture or lgorthm

17 ynhronou Genertor ytem Moelng

18 Generl Blo Dgrm ()

19 Generl Blo Dgrm () Eery W lo nee.6 mf

20 Genertor Controller

21 ngle Pole PF ()

22 ngle Pole PF ()

23 Mn Mhne Output Voltge n Current

24 Mn Mhne ne to ne Voltge

25 Mn Mhne ne Current

26 Mn Mhne Fel Voltge n Current

27 Exter ne to ne Voltge

28 Exter ne Current

29 Exter Fel Voltge n Current

30 Inuton Mhne Moelng

31 elene to Inuton Mhne x m x me P m

32 Artrry eerene Frme () ttor untte () o urrent, oltge, or lux n e onerte to untte () reerene to the rotor. Th oneron ome through the K mtrx. where K K o K n 3 / K o o o / 3 o / 3 n / 3 n / 3 / / o n / 3 n / 3 / 3 n / 3 (MIT notton)

33 Artrry eerene Frme () otor untte ( ) o urrent, oltge, or lux n e onerte to untte ( ) reerene to the rotor. Th oneron ome through the K mtrx. K K 3 / n 3 / o 3 / n 3 / o n o / / / 3 / n 3 / n n 3 / o 3 / o o 3 K K where (MIT notton) me

34 Voltge Euton () Uner motor reerene onenton or urrent (.e. the pote reerene reton or urrent nto the mhne): For ttor wnng K λ t K K K λ t K K K K K λ t K K KK λ K K λ t t λ t K K t λ

35 Voltge Euton () We ere the erte o K - : Then, we get t K K t t t / 3 o 3 / n / 3 o / 3 n o n t K t An or oltge, we get

36 Voltge Euton (3) t λ r For rotor wnng t t t r r r me t me

37 Dynml Euton or Flux nge t r r r The erton o r re l or oth lner n nonlner moel. DQ λ r r r V et we he V λ t DQ

38 Flux nge. Current () The next tep to relte urrent to lux lnge through nutne. For roun rotor, the nutne n e pproxmtely expree A l T ABC A A lr A

39 Flux nge. Current () m m m o o o me me me 3 3 Moreoer: m A N N e e A A N N e e e:. A. E. Ftzgerl, C. Kngley, Jr., n. D. Umn, Eletr Mhnery, 6 th Eton, pge P. C. Krue, O. Wynzu, n. D. uho, Anly o Eletr Mhnery n Dre ytem, n Eton, pge 4-45.

40 Flux nge. Current (3) Th mtrx n e trnorme nto orm n ue to n lux lnge. λ From λ ABC ABC ABC wthλ ABC ABC T ABC λ λ K λ K K λ T λ K K K K T K λ K K λ DQ DQ DQ λ T K K K K where λ DQ λ λ DQ K K T K K K K K K DQ

41 Inutne Mtrx n Frme m m m m DQ where m m A lr A l n DQ DQ DQ λ From m m Through erton, we he T DQ K K K K K K K K lr l m m

42 Dynml Euton n Term o Current V λ t DQ For lner moel rom V DQ DQ t ynml euton n term o urrent DQ DQ DQ λ n where r r r V m m m m

43 Power Eletrl ntntneou Input Power on ttor n lo e expree through theory. ) ( T T T n p K K 3 p n 3 ) ( K K T

44 Torue 3 p n t t t r r From we he ) ( m n P t t t p Copper o Mehnl Power Mgnet Power n Wnng Thereore, eletromgnet torue on rotor ) ( 3 m meh e P p T p meh

45 Three Commonly Ue eerene Frme ttonry eerene Frme otor eerene Frme me ynhronouly ottng eerene Frme e

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