摘要
高阶泰勒级数法是一种优秀的快速暂态稳定算法,但由于其数值稳定域的限制,在进行多摆或更长时间的仿真计算时,高阶泰勒级数法的应用受到了局限。基于高阶泰勒级数法的高阶导数递推关系和多步高阶导数积分通式,提出了同时具有高阶数和大数值稳定域特性的暂态稳定时域仿真算法——多步高阶隐式泰勒级数法。所提方法保留了原泰勒级数法准确、快速、递推和编程简单的优点,同时其数值稳定域能够包含复平面的左半平面。算例结果表明方法简洁、准确,有效地改进了高阶Taylor级数法的数值稳定性。
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.
出处
《电力系统保护与控制》
EI
CSCD
北大核心
2011年第23期11-15,20,共6页
Power System Protection and Control
关键词
电力系统
暂态稳定
泰勒级数法
隐式积分
power system
transient stability
Taylor series expansion
implicit integration
