基于非均匀阻尼模型的二阶上界函数暂态稳定域估计方法

该文基于多机系统非均匀阻尼模型，借助泰勒定理和拉萨尔不变性原理提出了一个新的构建暂态稳定域闭合子集的解析方法一二阶上界函数法。文中首先介绍了构建此稳定域方法的解析表达式和计算步骤，然后针对9节点系统和10机39节点算例系统分别进行了仿真计算，仿真结果表明：相比一阶上界函数法，文中所提方法保守性有所改善且严格可靠，而且还避免了计算不稳定平衡点这个传统能量函数法存在的难题。

TRANSIENT STABILITY DOMAIN ESTIMATION USING A SECOND ORDER BOUNDING FUNCTION BASED ON THE NON-UNIFORM DAMPING MODEL

Based on the classical model of multi-machine power system with non-uniform damping, by the aid of the Taylor Theorem and LaSalle Invariance Principle, we present a method for constructing a closed hyper-ball that strictly resides in transient stability domain. This method is termed second order upper bounding function method. First of all, we derive the analytical expression and computational steps of the approximated stability region. Two numerical examples are provided in the end, in contrast to first order upper bounding function method, the method in this paper has a better performance in conservative character. What is more, it is strict and reliable and avoids the difficulty of computing UEP that is essential in traditional transient energy function methods.