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Power system transient stability analysis through a homotopy analysis method

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Abstract

As an important function of energy management systems, online contingency analysis plays an important role in providing power system security warnings of instability. At present, N-1 contingency analysis still relies on time-consuming numerical integration to assess transient stability. To reduce computational cost, this paper proposes a transient stability analysis method based on homotopy analysis. The proposed method analyzes power system transient stability by computing bifurcation points of nonlinear differential equations. These bifurcation points constitute transient stability region boundaries. The method judges if the post-fault system can survive a disturbance by analyzing whether the initial values following fault clearance locate within the boundaries. The proposed method provides an alternative approach to assessing power system transient stability instead of traditional numerical integration. A simple case is presented to demonstrate application of the proposed method; the analysis results of the proposed method are consistent with the results of numerical integration.

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Notes

  1. This statement is based on physical analysis of power systems and is verified by a large number of simulation results.

  2. Mathematic software such as Matlab and Mathematic have Bessel function library.

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Acknowledgments

The authors are grateful to the support from the Future Power Grid Initiative to this work through Laboratory Directed Research and Development Project “A multi-layer data-driven reasoning tool for smart grid integrated information systems.” The Pacific Northwest National Laboratory is operated for the U.S. Department of Energy by Battelle under Contract DE-AC05-76RL01830. Also, the authors gratefully acknowledge the contribution of Dr. Yinlong Zhao and Dr. Wenrui Hao for their help in Homotopy Analysis.

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Authors and Affiliations

  1. Pacific Northwest National Laboratory, Richland, WA, USA

    Shaobu Wang, Pengwei Du & Ning Zhou

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  1. Shaobu Wang
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  2. Pengwei Du
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  3. Ning Zhou
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Correspondence to Shaobu Wang.

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Wang, S., Du, P. & Zhou, N. Power system transient stability analysis through a homotopy analysis method. Nonlinear Dyn 76, 1079–1086 (2014). https://doi.org/10.1007/s11071-013-1191-2

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