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Methods are presented for determining the transient stability of systems of synchronous and induction machines. Treatment of the induction machine by its inertia and a voltage back of transient reactance makes possible its representation in stability studies by an a-c network calculator or digital computer. A digital-computer method for transient-stability studies is outlined, based on representation of the connecting power network by its admittance constants. Synchronous and induction machines are treated as in the a-c network calculator studies. The method is illustrated and its accuracy verified by application to a simple system having two synchronous machines, two induction motors, three fault busses, and two shunt loads. A complete derivation of the admittance method is included in the paper as well as accuracy criteria for the admittance constants.
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Shankle et al. (1954) studied this question.
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