感应电能传输系统多谐振点及其自治振荡稳定性分析

Analysis of multiple resonant operating points and their autonomous oscillation stabilities in inductive power transfer systems

以串联型感应电能传输(IPT)系统为例,用非线性动力学的方法研究了IPT系统的多谐振点的判断及稳定性分析问题.建立了系统的频闪映射模型,根据不动点理论推导出了系统的稳态响应分段解析函数式,并在此基础上,给出了系统谐振工作点的理论判据,结合系统庞加莱映射的雅可比矩阵特征值分布情况,给出了谐振点的稳定性判据.结合具体实例系统,讨论了其多谐振点现象,并通过仿真和实验进行了验证,证明了本文理论分析结果的正确性.本文所提出的分析方法也可为其他类似谐振变换电路的建模及稳态工作点分析提供一定的理论参考.

In this paper we determine multiple resonant operating points（ROPs） of inductive power transfer（IPT） systems and perform the corresponding stability analysis of a series-tuned IPT system,which is taken for example,through using nonlinear dynamics theories.The stroboscopic mapping model of the system is built and a piecewise analytical function of the steady-state response is derived with the fixed-point theory.Then a criterion for assessing the system ROPs is given mathematically.The stability analysis of ROPs is achieved according to the locations of the eigenvalues of the Jacobi matrix of the Poincare mapping model of the system.A case study of the phenomenon of multiple ROPs is conducted,and both simulation and experimental results verify the theoretical results of the proposed method.Furthermore,the proposed method can provide useful theoretical reference for modeling and steady-state analysing other similar resonant converters.