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A Transient Stability Numerical Integration Algorithm for Variable Step Sizes Based on Virtual Input

Author

Listed:
  • Yifan Gao

    (College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China)

  • Jianquan Wang

    (College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China)

  • Tannan Xiao

    (College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China)

  • Daozhuo Jiang

    (College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China)

Abstract

In order to reduce the online calculations for power system simulations of transient stability, and dramatically improve numerical integration efficiency, a transient stability numerical integration algorithm for variable step sizes based on virtual input is proposed. The method for fully constructing the nonhomogeneous virtual input for a certain integration scheme is given, and the calculation method for the local truncation error of the power angle for the corresponding integration scheme is derived. A step size control strategy based on the predictor corrector variable step size method is proposed, which performs an adaptive control of the step size in the numerical integration process. The proposed algorithm was applied to both the IEEE39 system and a regional power system (5075 nodes, 496 generators) in China, and demonstrated a high level of accuracy and efficiency in practical simulations compared to the conventional numerical integration algorithm.

Suggested Citation

  • Yifan Gao & Jianquan Wang & Tannan Xiao & Daozhuo Jiang, 2017. "A Transient Stability Numerical Integration Algorithm for Variable Step Sizes Based on Virtual Input," Energies, MDPI, vol. 10(11), pages 1-21, October.
    • Handle: RePEc:gam:jeners:v:10:y:2017:i:11:p:1736-:d:116988
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    Cited by:

    1. Francisco Arredondo & Edgardo Daniel Castronuovo & Pablo Ledesma & Zbigniew Leonowicz, 2019. "Analysis of Numerical Methods to Include Dynamic Constraints in an Optimal Power Flow Model," Energies, MDPI, vol. 12(5), pages 1-17, March.

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