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

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 constructi...

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Published in:Energies (Basel) Vol. 10; no. 11; p. 1736
Main Authors: Gao, Yifan, Wang, Jianquan, Xiao, Tannan, Jiang, Daozhuo
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.11.2017
Subjects:
Algorithms
numerical integration
transient stability
variable step size
virtual input
ISSN:1996-1073, 1996-1073
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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.
AbstractList 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.
Author Gao, Yifan
Wang, Jianquan
Jiang, Daozhuo
Xiao, Tannan
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SubjectTerms Algorithms
numerical integration
transient stability
variable step size
virtual input
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Title A Transient Stability Numerical Integration Algorithm for Variable Step Sizes Based on Virtual Input
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