基于模态级数法的交直流系统的非线性模式交互作用分析

模态级数法是一种新的用于反映非线性系统动态特性的方法.该方法基于泰勒级数,可以得到非线性系统零输入响应的封闭解,其结果既提供了系统的特征信息,又便于分析系统的非线性模式交互作用,适合于电力系统的动态行为分析.本文把模态级数法应用于HVDC/AC系统中.运用模态级数法得到交直流系统动态方程的封闭解、系统的频域信息以及非线性模态交互作用的参数,由此可以分析系统故障后的稳定性.本文将以一个三机交直流系统为例,用模态级数法分析其非线性动态特性.

Analysis of nonlinear modal interactions in HVDC/AC power system using modal series method

In this paper a new method of studying the nonlinear dynamic behavior is introduced and extended to HVDC/AC power systems. Based on Taylor series expansion and nonlinear transformation of the state space, the method makes it possible to obtain a closed form solution, which includes the frequency-domain information and nonlinear modal interaction indices. Using modal series method the nonlinear behavior of the power system can be analyzed. In this paper the modal series method is applied to a three-generator HVDC/AC power system and analysis is made to show the effect of modal interactions.