An Analytical Calculation of Self- and Mutual Inductances of Rectangular Flat Polarized Coils with Displacement in the Vertical Direction

Document Type : Original Article

Authors

1 Master student, Noshirvani University of Technology, Babol, Mazandaran, Iran

2 Assistant Professor, Noshirvani University of Technology, Babol, Mazandaran, Iran

3 Assistant Professor, Faculty of Electrical and Computer Engineering, Mazandaran University of Science and Technology, Behshahr, Iran

Abstract

The self- and mutual inductances are the key parameters of the WPT system which must be correctly calculated by the designer in order to optimize the system or estimate its performance parameters such as the received power, efficiency and gain. In comparison to the finite element simulation method, the analytical calculations of self- and mutual inductances speed up the design process and reduce costs. The polarized DD pads are selected in this paper due to the simplicity of structure, high efficiency, and low sensitivity to misalignment conditions. DD pads are very popular in dynamic and static electric vehicle charging applications. In this paper, the analytical calculations of self and mutual inductances are presented using the Biot-Savart law for DD pads. In some cases, it is necessary to use the ferrite cores to improve the inductance and coupling coefficient of these pads. Therefore, the effect of ferrite cores and optimization in terms of number, length, and distance between cores in finite element simulations are investigated. The results of analytical calculations of the mutual inductances in different distances between pads are scrutinized and verified with experimental data and FEM simulations. The values calculated by the practical method and simulations verify the analytical model with good accuracy.

Keywords

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History

  • Receive Date: 09 May 2020
  • Revise Date: 23 July 2020
  • Accept Date: 22 January 2022
  • Publish Date: 21 March 2022

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