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Unformatted text preview: teady State Analysis of Steady State Analysis of Synchronous Machine Induced Phase Voltage (1) ) cos( | , winding field from r a e pk f g P t B B Assume the armature windings are open circuit, the magnetic field in the air gap comes from the field winding only. k k s ˆ s ˆ i di ld 2 ) ( r e t From Notes Flux Linkage in Phase Winding P Dl B pk f pk f , , 2 r e pk f a pk f a a t N N cos cos | , , winding field from r j pk f a e N , f ˆ Phasor λ dt d t N t N dt d t E pk f r e e a r e e pk f a a A , , winding field from ) cos( ˆ ) sin( ˆ | ) ( t steady state we have , d pk f At steady state, we have dt ) sin( ˆ ) ( , r e e pk f a A t N t E Phasor of E A (t) is: ) 2 cos( ˆ , r e e pk f a t N ) 2 ( , ˆ r j e pk f a e N A E leading f by 90 o Induced Phase Voltage (2) s ˆ Likewise, for net magnetic field, at steady state: Dl B pk 2 ) 2 cos( net a e pk net P t B B net e pk a net a t N cos , P pk net j pk a net e N ˆ Phasor λ The steady state phase voltage in armature phase A winding is: s( ˆ n( ˆ a d ) 2 cos( ) sin( ) (...
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