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| Reduction of Power System Model Using Balanced Realization Method |
| Zhao Hongshan1, Song Guowei1, Jiang Quanyuan2 |
| 1. North China Electric Power University Baoding 071003 China 2. Zhejiang University Hangzhou 310027 China |
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Abstract The paper studies the power system model reduction using the balanced realization method. First, the balanced realization algorithm of power system model is proposed, and two methods of model reduction i.e. truncation and residualization are analyzed in detail. Then, the different reduced-order models for power system are respectively obtained by the proposed method. Finally, some simulating results for those reduced-models under the constant control input and linear optimum control law are given, and the absolute error and relative error for all reduced-models are also calculated. The results of simulation and error calculation show that when the k-th Hankle singular value is far bigger than the (k+1)-th Hankle singular value, the approximation properties of the k-order reduced model is excellent, and error is small. For the reduced-order system which the order is less than k, the stability is preserved in the reduced-order systems in spite of the error is relatively large, and this characteristic is very important to study the high layer model reduction in the hierarchical control for a large scale power systems.
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Received: 23 July 2009
Published: 12 December 2014
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2010, Vol. 25 
