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http://dx.doi.org/10.6113/JPE.2019.19.3.655

Hopf Bifurcation Study of Inductively Coupled Power Transfer Systems Based on SS-type Compensation  

Xia, Chenyang (School of Electrical and Power Engineering, China University of Mining and Technology)
Yang, Ying (School of Electrical and Power Engineering, China University of Mining and Technology)
Peng, Yuxiang (School of Electrical and Power Engineering, China University of Mining and Technology)
Hu, Aiguo Patrick (Department of Electrical and Computer Engineering, University of Auckland)
Publication Information
Journal of Power Electronics / v.19, no.3, 2019 , pp. 655-664 More about this Journal
Abstract
In order to analyze the nonlinear phenomena of the bifurcation and chaos caused by the switching of nonlinear switching devices in inductively coupled power transfer (ICPT) systems, a Jacobian matrix model, based on discrete mapping numerical modeling, is established to judge the system stability of the periodic closed orbit and to study the nonlinear behavior of Hopf bifurcation in a system under full resonance. The general flow of the parameter design, based on the stability principle for ICPT systems, is proposed to avoid the chaos and bifurcation phenomena caused by unreasonable parameter selection. Firstly, based on the state equation of SS-type compensation, a three-dimensional bifurcation diagram with the coupling coefficient as the bifurcation parameter is established with a numerical simulation to observe the nonlinear phenomena in the system. Then Filippov's method based on a Jacobian matrix model is adopted to deduce the boundary of stable operation and to judge the type of the bifurcation in the system. Then the general flow of the parameter design based on the stability principle for ICPT systems is proposed through the above analysis to realize stable operation under the conditions of weak coupling. Finally, an experimental platform is built to confirm the correctness of the numerical simulation and modeling.
Keywords
Coupling coefficient; Full resonance; Hopf bifurcation; Inductively coupled power transfer (ICPT) system; Jacobian matrix;
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