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多步高阶隐式泰勒级数法暂态稳定计算

徐英 郭志忠

电力系统保护与控制2011,Vol.39Issue(23):11-15,20,6.
电力系统保护与控制2011,Vol.39Issue(23):11-15,20,6.

多步高阶隐式泰勒级数法暂态稳定计算

Transient stability calculation by implicit multi-step Taylor series method

徐英 1郭志忠2

作者信息

  • 1. 华北电力调度通信中心,北京100053
  • 2. 哈尔滨工业大学电气学院,黑龙江哈尔滨150001
  • 折叠

摘要

Abstract

As an explicit method, the numerical stability of Taylor series method is limited. In simulation of more than one swing or longer time period, the application of high-order Taylor series method has been confined. Based on the recursive calculating of high-order derivatives in the Taylor series method and the multi-step multi-derivative integration formula, a multi-step high-order implicit Taylor series method is proposed, which has both high order and large numerical stability region. It retains the advantages of the original Taylor series method such as accuracy, rapidity and simple recursion and easy programming, and its numerical stability region can include the left half of the complex plane. Numerical examples results show that the algorithm is concise and accurate and effectively improves the numerical stability of high-order Taylor series method.

关键词

电力系统/暂态稳定/泰勒级数法/隐式积分

Key words

power system/transient stability/Taylor series expansion/implicit integration

分类

信息技术与安全科学

引用本文复制引用

徐英,郭志忠..多步高阶隐式泰勒级数法暂态稳定计算[J].电力系统保护与控制,2011,39(23):11-15,20,6.

电力系统保护与控制

OA北大核心CSCDCSTPCD

1674-3415

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