基于RKNd算法的暂态稳定性快速数值计算方法

RKNd方法是一类新的数值积分方法。在相同级数条件下，RKNd方法可达到的最高代数阶比传统的Runge—Kutta方法以及Runge—Kutt—Nystrom方法均高，而且具有更高的计算效率。将RKNd方法引入电力系统暂态稳定性数值计算。以IEEEl45节点电力系统为例，通过数值实验将新方法与电力系统分析中常用的传统数值计算方法进行了对比分析。数值实验结果表明，RKNd方法在计算精度和计算效率等方面均具有明显的优势，N而更适合于电力系统暂态稳定性及相似问题的数值计算。

Fast Numerical Simulation of Power System Transient Stability by RKNd Methods

The RKNd method is a new kind of numerical integration methods,of which the order is higher than that of the traditional Runge-Kutta methods and Runge-Kutta-Nystrm methods for the same stage.In this paper,the RKNd method is introduced to the numerical simulation of power system transient stability,and then a fast numerical simulation method has been proposed.The proposed method has been compared to both the traditional numerical integration method and the symplectic Gauss method using IEEE145-bus power system,and the tested results show that the implicit RKNd method has the advantages both in calculation accuracy and in computational efficiency respectively over the symplectic Gauss method and the implicit trapezoidal rule.Therefore the proposed methods should be more suitable to numerical analysis of transient stability and other like-wise problems.