Application of Homotopy Methods to Power Systems
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 Cn2n 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.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
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.
Author Details
Dayong Cai Email
Yurong Chen Email