Noether symmetry method of the Buck-Boost converterin time response analysis

【作者】 谢煜； FU Jing-li；

【Author】 XIE Yu;FU Jing-li;Faculty of Mechanical Engineering & Automation,Zhejiang Sci-Tech University;School of Physics and Electrical Information,Shangqiu Normal University;School of Science,Zhejiang Sci-Tech University;

【机构】 浙江理工大学机械与自动控制学院； School of Physics and Electrical Information,Shangqiu Normal University； School of Science,Zhejiang Sci-Tech University；

【摘要】 In this paper,Noether symmetries and solutions of the Buck-Boost converter are investigated,and the time responses of the converter are analyzed with these solutions.Firstly,the Euler-Lagrange equations of the Buck-Boost converter are built up.Secondly,based on the generalized Noether identity,the the infinitesimal generators and the corresponding conserved quantities are presented.Finally,the exact solutions of the converter are obtained,and then the transient and steady responses of inductor currents and capacitor voltages are calculated by exact solutions.更多还原

【Abstract】 In this paper,Noether symmetries and solutions of the Buck-Boost converter are investigated,and the time responses of the converter are analyzed with these solutions.Firstly,the Euler-Lagrange equations of the Buck-Boost converter are built up.Secondly,based on the generalized Noether identity,the the infinitesimal generators and the corresponding conserved quantities are presented.Finally,the exact solutions of the converter are obtained,and then the transient and steady responses of inductor currents and capacitor voltages are calculated by exact solutions.更多还原