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2018-04-10

Fast Calculation and Analysis of the Equivalent Impedance of a Wireless Power Transfer System Using an Array of Magnetically Coupled Resonators

By Jose Alberto, Ugo Reggiani, Leonardo Sandrolini, and Helena Albuquerque
Progress In Electromagnetics Research B, Vol. 80, 101-112, 2018
doi:10.2528/PIERB18011704

Abstract

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 de fined 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.

Citation


Jose Alberto, Ugo Reggiani, Leonardo Sandrolini, and Helena Albuquerque, "Fast Calculation and Analysis of the Equivalent Impedance of a Wireless Power Transfer System Using an Array of Magnetically Coupled Resonators," Progress In Electromagnetics Research B, Vol. 80, 101-112, 2018.
doi:10.2528/PIERB18011704
http://jpier.org/PIERB/pier.php?paper=18011704

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