Partial element equivalent circuit modeling and design for wireless power transfer system via magnetic resonant coupling

Abstract

To study the characteristics of wireless power transfer(WPT) resonators via magnetic resonant coupling (MRC), distributed parameter models based on partial element equivalent circuit (PEEC) are built for MRC-WPT resonators and coupling link between two resonators, which is essential to design a MRC-WPT system. The track of one turn in WPT coil is modeled as a complete ring carrying constant current, and the parasitic parameters and high-frequency losses are considered in this modeling method. The circuit parameters of PEEC network are calculated by numerical integrals and analytical formulas. This modeling method can predict resonant frequency and power transfer capability for MRC-WPT system. Impedance and scattering parameter S₂₁ of circular spiral resonators are also calculated by method of moments (MoM), and the proposed modeling method shows good agreement with the simulated results and has high calculation efficiency. Two types of WPT resonators are designed in laboratory. Impedance and scattering parameter S₂₁ are measured for each of the cases, and the results show that the PEEC modeling method has a better accuracy and can predict resonant frequency and power transfer capacity for MRC-WPT system.

Keywords

Magnetic resonant coupling (MRC)partial element equivalent circuit (PEEC)scattering parameter wireless power transfer (WPT)

References

, Sun

, Wang

, Tang

and Xiong

, Desigh of magnetic coupler for EVs' wireless charging, International Journal of Applied Electromagnetics and Mechanics (IJAEM) 43(3) (July 2013), 195-205. doi: 10.3233/JAE-131693.

Ibrahim

, Bernard

, Pichon

and Razek

, Electromagnetic model of EV wireless charging systems in view of energy transfer and radiated field control, International Journal of Applied Electromagnetics and Mechanics (IJAEM) 46(2) (2014), 355-360. doi: 10.3233/JAE-141945.

, Sun

, Lv

, Wang

and Xiong

, Magnetic coupler design procedure for IPT system and its application to EVs' wireless charging, International Journal of Applied Electromagnetics and Mechanics (IJAEM) 47(3) (2015), 861-873. doi: 10.3233/JAE-140146.

Kim

C.G.

, Seo

D.H.

, You

J.S.

, Park

J.H.

and Cho

B.H.

, Design of a contactless battery charger for cellular phone, IEEE Transactions on Industrial Electronics 48(6) (2001), 1238-1247. doi: 10.1109/41.969404.

Imura

and Hory

, Maximizing air gap and efficiency of magnetic resonant coupling for wireless power transfer using equivalent circuit and Neumann formula, IEEE Transactions on Industrial Electronics 58(10) (2011), 4746-4752. doi: 10.1109/TIE.2011.2112317.

Kurs

, Karalis

, Moffat

, Joannopoulos

J.D.

, Fisher

and Soljacic

, Wireless power transfer via strongly coupled magnetic resonances, Science 317(6) (2007), 83-86.

Karalis

, Joannopoulos

J.D.

and Soljacic

, Efficient wireless non-radiative mid-range energy transfer, Annals of Physics 323(1) (2008), 34-48.

Sample

A.P.

, Meyer

D.A.

and Smith

J.R.

, Analysis, experimental results, and range adaptation of magnetically coupled resonators for wireless power transfer, IEEE Transactions on Industrial Electronics 58(2) (2011), 544-554. doi: 10.1109/TIE.2010.2046002.

Yan

, Li

, Zhang

and Yang

, Influence factors analysis and improvement method on efficiency of wireless power transfer via coupled magnetic resonance, IEEE Transactions on Magnetics 50(4) (2014), Article ID 4004204. doi: 10.1109/TMAG.2013.2291861.

10.

Huang

, Zhang

, Qiu

and Zhang

, Frequency splitting phenomena of magnetic resonant coupling wireless power transfer, IEEE Transactions on Magnetics 50(11) (2014), Article ID 8600204. doi: 10.1109/TMAG.2014.2331143.

11.

Ruehli

A.E.

, An integrated equation equivalent circuit solution to a large class of interconnected systems, Ph D Dissertation, University of Vermont, 1972.

12.

Chen

and Zhao

, Analysis of the double-layer printed spiral coil for wireless power transfer, IEEE J Select Topics Power Electron 1(2) (June 2013), 114-121. doi: 10.1109/JESTPE.2013.2272696.

13.

Zhang

, Ho

S.L.

and Fu

W.N.

, Quantitative analysis of a wireless power transfer cell with planar spiral structures, IEEE Transactions on Magnetics 47(10) (October 2011), 3200-3203. doi: 10.1109/TMAG.2011.2147768.

14.

Ruehli

A.E.

, Antonini

, Esch

, Ekman

, Mayo

and Orlandi

, Non-orthoganal PEEC formulation for time and frequency domain EM and circuit modeling, IEEE Transactions on Electromagnetic Compatibility 45(2) (May 2003), 167-176. doi: 10.1109/TEMC.2003.810804.

15.

Raju

, Wu

, Chan

and Yue

, Modeling of mutual coupling between planar inductors in wireless power applications, IEEE Transactions on Power Electronics 29(1) (Jan 2014), 481-490. doi: 10.1109/TPEL.2013.2253334.

16.

Yang

, Liu

and Basham

, Inductor modeling in wireless links for implantable electronics, IEEE Transactions on Magnetics 43(10) (October 2007), 3851-3860. doi: 10.1109/TMAG.2007.904189.

17.

Yeung

L.K.

and Wu

, Generalized partial element equivalent circuit (PEEC) modeling with radiation effect, IEEE Transactions on Microwave Theory and Techniques 59(10) (Oct 2011), 2377-2384. doi: 10.1109/TMTT.2011.2163803.