11 Self and Mutual Inductances

11 Self and Mutual Inductances - Self and Mutual...

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Unformatted text preview: Self and Mutual Inductances for ndamental Harmonic in Fundamental Harmonic in Synchronous Machine with Round Rotor Double Layer Lap Winding n Stator on Stator Cross Section Diagram b axis d q axis d axis m a d m a a axis c axis Stator Winding Fractional Pitch (exaggerated end turns) 2 3 m a axis a 2 m m m a m P 2 a axis q=2 q=4 q coils per group Self and Mutual Inductances (1) i b (t) xis m a d d i a (t) d axis a m a axis i c (t) Self and Mutual Inductances (2) A ls cc bb aa L L L L L Linear Model Balanced Winding ) cos( me sf af s ca bc ab L L M L L L ) 3 2 cos( me sf bf L L ) 2 cos( me sf cf L L 3 m me P 2 ls L is leakage inductance of armature phase A winding which is about 10% of the maximum self inductance. Flux Linkage (1) ) ( f af c b s a aa f af c ac b ab a aa a i L i i M i L i L i L i L i L ) ( f bf c a s b aa f bf c bc b bb a ba b i L i i M i L i L i L i L i L t steady state DC ) ( f cf b a s c aa f cf c cc b cb a ca c i L i i M i L i L i L i L i L At steady state, f i is DC. cos [ me a sf f f c cf b bf a af f f f i L i L i L i L i L i L )] 3 2 cos( ) 3 2 cos( me c me b i i f L L L mf lf f lf L is leakage inductance of field winding. Flux Linkage (2) a me sf s aa s me sf s s aa a i L M L M L M M L ) 2 cos( cos f c b me sf aa s s f c b i i i L L M M 2 s( 2 s( s ) 3 2 cos( 3 f me sf me sf me sf L L L L ) 3 cos( ) 3 cos( cos Flux Linkage (3) f a i L i M L ) ( c b a i i i Y connected without neutral return or balanced connected : f bf b s aa b me f sf a s f af a s aa a i L i M L i L i L ) ( ) cos( me f sf b s i L i L ) 3 2 cos( me f sf c s f cf c s aa c i L i L i L i M L ) 3 2 cos( ) ( e e me a sf f f f i i i L i L )] 2 cos( ) 2 cos( cos [ s A ls s aa s me c me b M L L M L L )] 3 ( ) 3 ( Flux Linkage (4) c b a i i i When a me sf s me sf s a i L L L L ) 2 cos( cos f c b me sf s f c b i i i L L 2 s( 2 s( s ) 3 2 cos( 3 f me sf me sf me sf L L L L ) 3 cos( ) 3 cos( cos Self Inductance of Stator Winding...
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This note was uploaded on 11/30/2011 for the course EEL 6208 taught by Professor Staff during the Fall '11 term at University of Central Florida.

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11 Self and Mutual Inductances - Self and Mutual...

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