基于帕德逼近的暂态稳定性快速数值计算方法

汪芳宗; 聂赟

引用本文:	汪芳宗,聂赟.基于帕德逼近的暂态稳定性快速数值计算方法[J].电力系统保护与控制,2017,45(1):1-6.
	WANG Fangzong,NIE Yun.Fast algorithm for transient stability numerical simulation using Padé approximation[J].Power System Protection and Control,2017,45(1):1-6

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基于帕德逼近的暂态稳定性快速数值计算方法
汪芳宗,聂赟
(三峡大学电气与新能源学院，湖北宜昌 443002)

摘要:

数值积分方法是电力系统暂态稳定性分析计算的基本方法。寻找一种快速、可靠的数值计算方法可以有效提高暂态稳定性计算的计算速度和计算精度。因此提出了一种基于帕德逼近的暂态稳定性数值计算方法，分析了该方法的数值稳定性，并采用IEEE145节点的暂态稳定性计算系统进行仿真计算。通过比较帕德逼近方法与泰勒展开方法的计算结果，初步验证帕德逼近方法具有较高的计算精度。该方法比较适合电力系统暂态稳定性及相似问题的数值计算。

关键词: 暂态稳定性泰勒级数帕德逼近步长控制并行计算

DOI：10.7667/PSPC160089

分类号:

基金项目:国家自然科学基金项目(51377098)

Fast algorithm for transient stability numerical simulation using Padé approximation

WANG Fangzong,NIE Yun

(College of Electrical Engineering & New Energy, China Three Gorges University, Yichang 443002, China)

Abstract:

Numerical integration method is the basic method of power system transient stability analysis and calculation. Looking for a fast and reliable numerical method can effectively improve the calculation speed and accuracy of power system transient stability. This paper puts forward a numerical integration method of power system transient stability which is based on Padé approximation, analyzes the numerical stability of this method and uses transient IEEE145-node calculation system for simulation calculation. By comparing the results of Padé approximation method with the results of Taylor series expansion method, it proves that the numerical integration method based on Padé approximation has high accuracy. Therefore the new method could be more suitable to numerical analysis of transient stability and other like-wise problems. This work is supported by National Natural Science Foundation of China (No. 51377098).

Key words: transient stability Taylor series Padé approximation step control parallel computation

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