Year: 2004
Author: Dayong Cai, Yurong Chen
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 1 : pp. 61–68
Abstract
In this paper, the application of homotopy methods to the load flow multi-solution problems of power systems is introduced. By the generalized Bernshtein theorem, the combinatorial number $C_{2n}^n$ is shown to be the BKK bound of the number of isolated solutions of the polynomial system transformed from load flow equations with generically chosen coefficients. As a result of the general Bezout number, the number of paths being followed is reduced significantly in the practical load flow computation. Finally, the complete P-V cures are obtained by tracking the load flow with homotopy methods.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JCM-10334
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 1 : pp. 61–68
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Homotopy methods Bezout number Bernshtein-Khoranski-Kushnirenko (BKK) bound Load flow computations.