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Constructing analytical energy functions for lossless network-reduction power system models: Framework and new developments

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Abstract

The task of constructing an energy function is essential for direct stability analysis of electric power systems. This paper presents a general procedure for constructing analytical energy functions for detailed lossless network-reduction power system stability models. This paper primarily (i) develops canonical representations for lossless networkreduction power system models and shows that such canonical representations cover existing stability models, (ii) derives theoretical results regarding the existence of analytical energy functions for the canonical representations, and (iii) presents a systematic procedure to construct corresponding energy functions.

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Authors and Affiliations

  1. Department of Electrical Engineering, Chang Gung University, Kwei-San, 333, Tao-Yuan, Taiwan, Republic of China

    Chia-Chi Chu

  2. School of Electrical Engineering, Cornell University, 14853-3801, Ithaca, New York

    Hsiao-Dong Chiang

Authors
  1. Chia-Chi Chu
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  2. Hsiao-Dong Chiang
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Additional information

This work was supported in part by the National Science Council, Republic of China, under Grants NSC 86-2213-E-182-006 and NSC 87-TPE-E-182-002.

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Chu, CC., Chiang, HD. Constructing analytical energy functions for lossless network-reduction power system models: Framework and new developments. Circuits Systems and Signal Process 18, 1–16 (1999). https://doi.org/10.1007/BF01206541

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  • DOI: https://doi.org/10.1007/BF01206541

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