@Article{JCM-22-61,
author = {Cai , Dayong and Chen , Yurong},
title = {Application of Homotopy Methods to Power Systems},
journal = {Journal of Computational Mathematics},
year = {2004},
volume = {22},
number = {1},
pages = {61--68},
abstract = {<p style="text-align: justify;">&nbsp;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.</p>},
issn = {1991-7139},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jcm/10334.html}
}