电力系统全过程动态仿真的组合数值积分算法研究  

Mixed Numerical Integral Algorithm for Full Dynamic Simulation of the Power System

作　　者：宋新立[1] 汤涌[1] 刘文焯[1] 仲悟之[1] 吴国旸[1] 刘涛[1] 

机构地区：[1]中国电力科学研究院,北京市海淀区100192

出　　处：《中国电机工程学报》2009年第28期23-29,共7页Proceedings of the CSEE

基　　金："十一五"国家科技支撑计划重大项目(2008BAA13B03);国家重点基础研究发展计划项目(973项目)(2004CB217901)~~

摘　　要：全过程动态仿真是将电力系统机电暂态和中长期动态过程有机地统一起来的一种数字仿真。仿真模型中的时间常数差别很大,是典型的刚性非线性系统。数值积分算法是全过程动态仿真的核心。分析非线性刚性系统求解的特点和电力系统动态仿真中现有数值积分算法存在的主要问题,提出一种新的适合全过程动态仿真的组合数值积分算法。该算法有机地结合了固定步长隐式梯形积分法和变步长吉尔(Gear)法的优点,克服现有变步长吉尔法在机电暂态过程中计算效率低下和间断处理复杂的问题。算例仿真与分析的结果表明了新算法的有效性和可行性。Full dynamic simulation of the power system is such a method in which the electro-mechanical transient, and medium-term and long-term dynamic phenomena are unified. For the large difference between the time constants of dynamic simulation models, it is a typical nonlinear stiff system simulation, and the numerical integral algorithm plays a key role in simulation. Based on the analysis of the requirements for solving nonlinear stiff systems and the main problems in the existing numerical integral algorithm for dynamic simulation of the power system, a new mixed integral algorithm is proposed. Integrating the advantages of both implicit trapezoidal integration with fixed time step and Gear variable time step algorithm, the new algorithm can greatly improve the speed of transient stability in full dynamic simulation and easily deal with the discontinuous equations in control systems. The results from two simulation cases show that the proposed algorithm is effective and feasible.

关 键 词：全过程动态仿真 机电暂态 中长期动态 刚性系统 数值积分算法 间断处理 

分 类 号：TM74[电气工程—电力系统及自动化]