Open AccessPolynomial approximation of the small‐signal stability region boundaries and its credible region in high‐dimensional parameter space
Author(s) -
Yang Su,
Liu Feng,
Zhang De,
Mei Shengwei
Publication year - 2013
Publication title -
international transactions on electrical energy systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.428
H-Index - 42
ISSN - 2050-7038
DOI - 10.1002/etep.1624
Subject(s) - correctness , polynomial , mathematics , boundary (topology) , stability (learning theory) , function approximation , signal (programming language) , approximation algorithm , mathematical optimization , space (punctuation) , parameter space , function (biology) , mathematical analysis , computer science , algorithm , geometry , artificial intelligence , machine learning , programming language , operating system , evolutionary biology , artificial neural network , biology
SUMMARY This paper presents a polynomial approximation method to give an explicit expression for the boundaries of small‐signal stability region (SSSR) based on the implicit function approach. Different from most of the current methods, the proposed method solves the problem of SSSR boundary approximation directly in the high‐dimensional parameter spaces. To settle the problem of local validity due to the polynomial approximation, we further put forward an optimization formula to estimate the credible region of the approximation with a given accuracy. The correctness and effectiveness of the proposed methods are verified through the case studies on a rudimentary power system and the real Hainan power grid of China. Copyright © 2012 John Wiley & Sons, Ltd.