基于Filippov法带感性负载Boost变换器的动态分析  

Dynamic analysis of Boost converter with inductive load based on Filippov method

作　　者：李文磊 范秋华 匡震 LI Wenlei;FAN Qiuhua;KUANG Zhen(College of Electrical Engineering,Qingdao University,Qingdao 266071,China)

机构地区：[1]青岛大学电气工程学院,山东青岛266071

出　　处：《电子设计工程》2023年第13期51-55,60,共6页Electronic Design Engineering

基　　金：国家自然科学基金(61873138)。

摘　　要：Boost变换器本质是非线性时变系统,存在丰富的非线性动力学现象。在动力学研究中,负载通常是阻性负载,但负载的性质会影响系统的稳定性。文中采用Filippov法对带感性负载Boost变换器进行了全面的分析,用非线性微分代数方程组对两种工作状态下的系统进行建模。基于系统的状态方程,分析了系统在不同参数下的动态特性。通过计算由Filippov法推导的单值矩阵的特征值,分析系统分岔点的演化过程及对系统稳定性的影响。仿真结果表明,Filippov法以更直接的方式实现了与Poincaré截面相同的目标,系统参数在一定范围变化时,系统会出现分岔、混沌等复杂的非线性行为,实验结果验证了理论的正确性。Boost converter is a nonlinear time-varying system in essence,and there are abundant nonlinear dynamic phenomena.In the study of dynamics,the load is usually resistive,but the nature of the load will affect the stability of the system.The Boost converter with inductive load is comprehensively analyzed by Filippov method,the nonlinear differential algebraic equations are used to model the system in two working states.Based on the state equation of boost converter,the dynamic characteristics of the system under different parameters are analyzed.The eigenvalues of the single valued matrix derived by Filippov method are calculated,and the evolution process of the bifurcation point of the system and its influence on the stability of the system are analyzed.The simulation results show that Filippov method achieves the same goal as Poincarésection in a more direct way.When the system parameters change in a certain range,the system will have complex nonlinear behaviors such as bifurcation and chaos.The experimental results verify the correctness of the theory.

关 键 词：BOOST变换器 混沌 稳定性 Filippov法 

分 类 号：TN610[电子电信—电路与系统]