An Explicit Solution of the Power Balance Equations of Structure Preserving Power System Models

被引:11
作者
Dib, Wissam [1 ]
Barabanov, Andrey E. [2 ]
Ortega, Romeo [1 ]
Lamnabhi-Lagarrigue, Francoise [1 ]
机构
[1] CNRS SUPELEC, Signaux & Syst Lab, F-91192 Gif Sur Yvette, France
[2] St Petersburg State Univ, Dept Math & Mech, St Petersburg 198904, Russia
关键词
Differential algebraic equations; power systems; structure preserving model; TRANSIENT STABILITY ANALYSIS; TRANSFER-CONDUCTANCES;
D O I
10.1109/TPWRS.2008.2012191
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In this paper, we consider the widely popular structure-preserving models used to describe the dynamic behavior of multimachine power systems. These models consist of differential-algebraic equations, where the algebraic constraints stem from the power flow balance between generators, loads, and lines. Our main contribution is the explicit computation of a solution for these algebraic equations under the assumption that the loads are constant impedances. This result is of interest for transient stabilization problems where, to estimate the domain of attraction of a given control law, it is sometimes necessary to explicitly solve the algebraic constraints. Besides this application, we believe this result may be of interest in other problems of power systems analysis.
引用
收藏
页码:759 / 765
页数:7
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