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lecture11 - (c) Feb 2004 Power Systems I 1 Balanced 3-Phase...

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Unformatted text preview: (c) Feb 2004 Power Systems I 1 Balanced 3-Phase Short Circuit ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 = = = = = = = = = = = = = + + + + + + + q d Park c b a F F F q d Park c b a v v v v v v r V i i i i i i i c Consider a synchronous generator operating at 60 Hz with constant excitation c Examine the impact on the stator currents when a three- phase short circuit is applied to the generator terminals r The initial currents r The voltage after applying the fault (c) Feb 2004 Power Systems I 2 Balanced 3-Phase Short Circuit -- ---- = - Q q D F d Q Q Q q D R D R F F D F d Q q D F d Q D F d D F Q q q F d i i i i i dt d L M M L L M M M L M M M L i i i i i r r M M L r r M L r v v v 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 2 3 c Rearranging the equation and neglecting the zero sequence term (c) Feb 2004 Power Systems I 3 Balanced 3-Phase Short Circuit ( 29 ( 29 ( 29 ( 29 3 2 3 2 3 2 3 2 1 1 1 sin cos sin cos sin cos + + + =- +- = + = =-- =-- =--- q d c q d b q d a dq abc i i i i i i i i i dt d dt d i P i v L Ri L i i L Ri v c In matrix form (or state space form) the equation can be rewritten...
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This note was uploaded on 11/27/2011 for the course EEL 4213 taught by Professor Thomasbaldwin during the Spring '11 term at FSU.

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lecture11 - (c) Feb 2004 Power Systems I 1 Balanced 3-Phase...

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