V^2C控制buck变换器的动力学分析及混沌控制研究

利用改进的最大李雅普诺夫指数分析了V^2C控制buck变换器中的动力学行为,通过分析切换面两侧子系统的几何关系,给出了不可微点处雅克比矩阵的补偿方法,显著提高了切换系统中动力学行为的分析精度.基于增加系统状态变量之间关联性能够削弱混沌的原则,在系统中加入了关联强度参数,并利用粒子群算法寻优出使系统稳态和瞬态性能最佳的参数,达到了消除混沌的目的.最后,通过仿真和实验验证了上述方法的可行性.

Study on Dynamic Analysis and Chaos Control in V^2C Controlled Buck Converter

This paper analyzed the dynamic behaviors by the improved maximal Lyapunov character exponent,in its calculation,a compensation algorithm of the Jacobi matrix at the non-differentiable point was given after analyzing the geometric relationship between the two subsystems on both sides of the switching surface,and significantly improved the analysis precision in switching system.Besides,according to the fact that the chaos control can be realized by increasing the correlation of system state variables,the coupling strength was introduced to the system of V^2 C-mode-controlled buck converter and optimized by particle swarm optimization(PSO),in order to eliminate the recognized chaotic behaviors.Finally,the effectiveness of the given method was validated by simulations and an experiment prototype.