Fast calculation and analysis of the equivalent impedance of a wireless power transfer system using an array of magnetically coupled resonators

被引：0
|
作者：
Alberto J. [1 ]
Reggiani U. [1 ]
Sandrolini L. [1 ]
Albuquerque H. [2 ]
机构：
[1] Department of Electrical, Electronic, and Information Engineering, University of Bologna, Viale del Risorgimento 2, Bologna
[2] Department of Mathematics of University of Coimbra, Coimbra
来源：
Progress In Electromagnetics Research B | 2018年 / 80卷
关键词：
D O I：
10.2528/PIERB18011704
中图分类号：
学科分类号：
摘要：
In this paper the equivalent impedance of resonator arrays for wireless power transfer systems is obtained in closed-form from a continued fraction expression. Using the theory of difference equations, the continued fraction is described as the general term of a complex sequence defined by recurrence, and its convergence is analyzed. It is shown that the equivalent impedance can be easily found in closed-form in terms of the system parameters. In this way, the obtained closed-form expressions may help electrical engineers to quickly predict the behaviour of a system with the changes of its parameters. Some numerical examples of the theoretical results are given and discussed. Finally, the analytical formulae obtained in this work are validated with measurements and a good agreement is observed. © 2018 Progress In Electromagnetics Research.
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页码：101 / 112
页数：11
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