An approach to studying certain types of parametric instabilities in electric power networks that are associated with a Hopf bifurcation is discussed. A particular frequency-domain version of the Hopf bifurcation theorem is used to complete an example of power-system flutter instability. It is shown that the instability encountered therein is a Hopf bifurcation and that it is supercritical. The results of the analysis are verified by computer simulation.>
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Kwatny et al. (1990) studied this question.
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