辛几何算法在电力系统暂态稳定性分析中的应用

Application of sympletic geometry algorithm in power system transient stability analysis

将辛几何算法引入电力系统暂态稳定性数值计算.以一个简单的电力系统为例,通过数值实验将新方法与电力系统分析中常用的隐式梯形积分法及传统的Runge-Kutta方法进行了对比分析.初步的数值实验结果表明,辛几何算法与传统算法相比,在计算精度和数值稳定性方面具有较为明显的优势,因而更适合于电力系统暂态稳定性及相似问题的数值计算.

The sympletic geometry algorithm is utilized to implement numerical calculation of power system transient stability. Comparative study of sympletic geometry algorithm and implicit trapezoidal rule and classical Runge-Kutta methods shows that the sympletic geometry algorithm is has superiority in either calculation accuracy or numerical stability over the classical approach. Therefore, this new method should be more suitable to numerical analysis of transient stability and other like-wise problems.