摘要
为分析感应耦合电能传输系统工作于弱耦合模式下产生的分岔和混沌等非线性现象,提出一种基于离散映射数值建模法和Filippov法的、用以判定系统周期闭轨稳定性的Jacobian矩阵求解模型,并分析系统在全谐振条件下出现的Hopf分岔等非线性行为。首先通过互感模型建立了系统的状态方程及其Jacobian矩阵求解模型,然后通过MATLAB数值仿真计算Jacobian矩阵特征根来判断系统分岔类型并且确定分岔点,最后搭建实验平台研究在典型耦合系数下系统的电压电流波形。实验结果表明,随着耦合系数的变化系统存在Hopf分岔现象,从而验证了仿真和建模的正确性。
To analyze non-linear phenomena such as bifurcation and chaos of the inductively coupled power transfer （ICPT） system working under the mode of weak coupling, this paper proposes a kind of Jacobian matrix solving model for judging periodic closed orbit stability of the system based on the discrete mapping numerical modeling and Filippov＇s method, and analyze non-linear phenomena such as Hopf bifurcation of the system under the full resonance condition. It firstly establishes the state equation of the system and the Jacobian matrix solving model by the mutual inductance model, then calculates Jaco- bian matrix eigenvalue by making numerical simulation based on MATLAB to judge bifurcation type of the system and deter- mine the bifurcation point. Finally, it builds an experiment platform to study voltage and current waveforms of the system with typical coupling coefficient. The experimental results indicate with change of the coupling coefficient, the system will generate Hopf bifurcation phenomenon, which has verified validity of the simulation and modeling.
作者
杨颖
夏晨阳
彭昱翔
刘旭
谢帆
YANG Ying;XIA Chenyang;PENG Yuxiang;LIU Xu;XIE Fan(Jiangsu Province Laboratory of Mining Electric and Automation,China University of Mining and Technology,Xuzhou,Jiangsu 221116,China;School of Electric Power,South China University of Technology,Guangzhou,Guangdong 510640,China)
出处
《广东电力》
2018年第11期46-51,共6页
Guangdong Electric Power
基金
国家自然科学基金项目(51777210)
江苏省自然科学基金项目(BK20171190)
关键词
感应耦合电能传输
耦合系数
全谐振
HOPF分岔
雅克比矩阵
Inductively coupled power transfer （ICPT）
coupling coefficient
full resonance
Hopf bifurcation
Jacobian matrix
