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

Chenyang Xia; Ying Yang; Yuxiang Peng; Aiguo Patrick Hu

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

Vol. 19, No. 3, pp. 655-664, May 2019

10.6113/JPE.2019.19.3.655

Coupling coefficient

Full resonance

Hopf bifurcation

Inductively coupled power transfer (ICPT) system

Jacobian matrix

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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.

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Cite this article

[IEEE Style]

C. Xia, Y. Yang, Y. Peng, A. P. Hu, "Hopf Bifurcation Study of Inductively Coupled Power Transfer Systems Based on SS-type Compensation," Journal of Power Electronics, vol. 19, no. 3, pp. 655-664, 2019. DOI: 10.6113/JPE.2019.19.3.655.

[ACM Style]

Chenyang Xia, Ying Yang, Yuxiang Peng, and Aiguo Patrick Hu. 2019. Hopf Bifurcation Study of Inductively Coupled Power Transfer Systems Based on SS-type Compensation. Journal of Power Electronics, 19, 3, (2019), 655-664. DOI: 10.6113/JPE.2019.19.3.655.