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lecture11

# lecture11 - Balanced 3-Phase Short Circuit Consider a...

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(c) Feb 2004 Power Systems I 1 Balanced 3-Phase Short Circuit ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 0 0 0 0 0 0 0 0 0 0 0 0 0 = = =  → = = = = = = =  → = = = + + + + + + + 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 circle6 Consider a synchronous generator operating at 60 Hz with constant excitation circle6 Examine the impact on the stator currents when a three- phase short circuit is applied to the generator terminals rhombus6 The initial currents rhombus6 The voltage after applying the fault

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(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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ϖ ϖ ϖ ϖ ϖ circle6 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 0 1 1 1 sin cos sin cos sin cos π π π π θ θ θ θ θ θ + + + = - + - = + = = - - = - - = - - - 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 circle6 In matrix form (or state space form) the equation can be rewritten rhombus6 Using the Laplace transform or integrating the equation results in

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(c) Feb 2004 Power Systems I 4 Example circle6
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lecture11 - Balanced 3-Phase Short Circuit Consider a...

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