FAST CALCULATION AND ANALYSIS OF THE EQUIVALENT IMPEDANCE OF A WIRELESS POWER TRANSFER SYSTEM USING AN ARRAY OF MAGNETICALLY COUPLED RESONATORS | Zendy

José Alberto | Zendy; Ugo Reggiani | Zendy; Leonardo Sandrolini | Zendy; Helena Albuquerque | Zendy

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FAST CALCULATION AND ANALYSIS OF THE EQUIVALENT IMPEDANCE OF A WIRELESS POWER TRANSFER SYSTEM USING AN ARRAY OF MAGNETICALLY COUPLED RESONATORS

Author(s) -

José Alberto,

Ugo Reggiani,

Leonardo Sandrolini,

Helena Albuquerque

Publication year - 2018

Publication title -

progress in electromagnetics research b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.208

H-Index - 47

ISSN - 1937-6472

DOI - 10.2528/pierb18011704

Subject(s) - wireless power transfer , resonator , electrical impedance , equivalent impedance transforms , maximum power transfer theorem , power (physics) , wireless , computer science , physics , acoustics , telecommunications , optoelectronics , quantum mechanics

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.

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