Power system transient stability simulation under uncertainty based on Taylor model arithmetic

doi:10.1007/s11460-009-0039-5

Front Elect Electr Eng Chin

2009, Vol. 4

Issue (2) : 220-226 https://doi.org/10.1007/s11460-009-0039-5

RESEARCH ARTICLE

Power system transient stability simulation under uncertainty based on Taylor model arithmetic

Shouxiang WANG(

), Zhijie ZHENG, Chengshan WANG

School of Electrical Engineering and Automation, Tianjin University, Tianjin 300072, China

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Abstract

The Taylor model arithmetic is introduced to deal with uncertainty. The uncertainty of model parameters is described by Taylor models and each variable in functions is replaced with the Taylor model (TM). Thus, time domain simulation under uncertainty is transformed to the integration of TM-based differential equations. In this paper, the Taylor series method is employed to compute differential equations; moreover, power system time domain simulation under uncertainty based on Taylor model method is presented. This method allows a rigorous estimation of the influence of either form of uncertainty and only needs one simulation. It is computationally fast compared with the Monte Carlo method, which is another technique for uncertainty analysis. The proposed method has been tested on the 39-bus New England system. The test results illustrate the effectiveness and practical value of the approach by comparing with the results of Monte Carlo simulation and traditional time domain simulation.

Keywords interval arithmetic power systems Taylor series expansion Taylor model time domain simulation transient stability uncertainty

Corresponding Author(s): WANG Shouxiang,Email:sxwang@tju.edu.cn

Issue Date: 05 June 2009

Cite this article:

Shouxiang WANG,Zhijie ZHENG,Chengshan WANG. Power system transient stability simulation under uncertainty based on Taylor model arithmetic[J]. Front Elect Electr Eng Chin, 2009, 4(2): 220-226.

URL:

https://academic.hep.com.cn/fee/EN/10.1007/s11460-009-0039-5
https://academic.hep.com.cn/fee/EN/Y2009/V4/I2/220

Fig.1 One line diagram of 10-unit 39-bus New England system

Tab.1 Unit data of 10-unit system

Tab.2 Rotor angle of G1 at each integration step

Fig.2 Rotor angle of G1

Fig.3 Rotor angle of G10

Fig.4 Rotor angle of G1

Fig.5 Rotor angle of G1

Fig.6 Rotor angle of G8

Fig.7 Rotor angle of G8

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