中国电机工程学报2012，Vol.32Issue(1)：84-92,9.
采用周期轨Poincare映射的非线性电力电子系统小干扰稳定性分析
Small Signal Stability Analysis of Nonlinear Power Electronic Systems Based on Poincar~ Mapping of the Periodic Orbit
摘要
Abstract
Topological structure switching, duty ratio control method and nonlinear components can all make power electronics systems have nonlinear characteristics, so small signal stability of nonlinear power electronic systems belongs to stability of periodic orbit of differential equations. State space averaging method has difficulty to predict bifurcation or the prediction has lower accuracy, while numerical integration method has not clear physical concept, so this paper presents an analysis method of periodic orbit stability based on trapezoidal integration method. Trapezoidal integration method was applied to describe the duty ratio equation and nonlinear state space equation of each stage. Jacobian matrix of the Poincare mapping was calculated by implicit function derivative method and chain derivative method, and the stability margin was presented. Thus the analysis method of small signal stability for nonlinear power electronic systems was established based on Poincare mapping of periodic orbit. The presented method can overcome the difficulty of traditional analysis method of small signal stability and reveal the instability mechanism of dynamical system for nonlinear power electronic systems. Simulation analysis verified the validity of the algorithm.关键词
非线性电力电子系统/小干扰稳定性/周期轨/Poincare映射Key words
nonlinear power electronic systems/small signal stability/periodic orbit/Poincare mapping分类
信息技术与安全科学引用本文复制引用
王刚,范学鑫,付立军,纪锋,马海鑫..采用周期轨Poincare映射的非线性电力电子系统小干扰稳定性分析[J].中国电机工程学报,2012,32(1):84-92,9.基金项目
国家自然科学基金项目(51077130,50977090):国家重点基础研究发展计划项目(973项目)(2012CB215103). （51077130,50977090）
