平衡格莱姆方法在电力系统线性模型降阶中的应用

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Abstract This paper studies a large-scale linear power system model reduction problem using the balanced truncation and residualization method. The process of model reduction is based on an approximations solution of the Lyapunov equation. First,the Lyapunov equation is solved by the alternating direction implicit (ADI) method; then,using the Cholesky factors of the controllability and observability gramians,the balancing transformation matrix and the Hankel singular values of power system dynamic model. Next,the reduction models of power system are obtained by the above proposed method are calculnted. Finally,the four-generator test power system and IEEE 50-generator test power system are analyzed for model reduction by the proposed method,and some simulating curves are given on the Dymola platform. The results of simulation show that the proposed method is very efficient.

Key words： Power system model reduction balanced realization alternating direction implicit

Received: 20 June 2011 Published: 11 December 2013

PACS:

TM744

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http://dgjsxb.ces-transaction.com/EN/ OR http://dgjsxb.ces-transaction.com/EN/Y2013/V28/I7/201

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