基于解耦算法的电力系统准稳态的实现

A Study on the Realization of the Quasi-Steady-State of the Power System Based on the Decoupling Algorithm

结合电压中长期稳定性的特点,对采用准稳态假设后的中长期电压稳定的仿真算法进行了研究。在目前所采用的时域仿真分析中,根据数值积分法,提出了一种综合显性算法和隐性算法期望特性的新的解耦仿真算法,将一个普通的给定初始条件的常微分方程(ODE)系统解耦为两部分处理,即对刚性部分使用隐性算法,而对非刚性部分使用显性算法。然后,在此基础上讨论了准稳态仿真在考虑负载随时间变化条件下的实现方法,有效协调了中长期电压稳定时域仿真在计算速度和计算精度两方面的矛盾。最后,给出了基于新英格兰10机39节点测试系统的仿真算例,验证了上述方法的正确性与有效性。

Considering the characteristic of medium and long-term stability of voltage,this paper studies the simulation algorithm of medium and long-term voltage stability with the quasi-steady-state assumption.Based on the numerical integration method currently used in the time-domain simulation analysis,this paper puts forward a new decoupling simulation algorithm with the desirable features of both explicit and implicit algorithms,which decouples a general ODE system with a given initial condition.That is,an implicit algorithm for the rigid part and an explicit one for the nonrigid part.Then,it discusses about the way of realization of the quasi-steady-state simulation with the load varying with time,which effectively coordinates the contradictions in both computational speed and accuracy of the time-domain simulation of the medium and long-term voltage stability.The simulation example based on the New England 10-machine and 39-node test system has verified its accuracy and effectiveness.