Electrical Engineering

, Volume 101, Issue 3, pp 867–875 | Cite as

Analysis and simulation of relevant parameters for optimal wireless power transfer

  • Iván A. Hernández-Robles
  • Xiomara González-RamírezEmail author
  • José M. Lozano-García
  • Víctor J. Gutiérrez-Martínez
Original Paper


An important challenge in the wireless power transfer is the sizing of the coils for transmission and energy reception. The output power in a wireless power transfer system can be determined by analytical formulation; however, the effects of using some geometry or material for the transmitter and receiver coil assembly are not easily quantifiable by the analytical method. This work quantifies by numerical simulation the impact on output power changing the separation between the transmitter coil and receiver, materials, geometries and number of turns. The quantities obtained allowed to determine a model for coupling coefficient to compute optimal frequency for the power transfer. The analysis and evaluation of these parameters were developed through an electromagnetic simulator with finite element; the work considers planar circular and square coils. Experimental results were obtained in order to validate the proposed model to compute the wireless power transferred. The document contributes to identify the important parameters to be controlled or modified in the coils with the purpose to optimize the power transmission for a wireless system.


Coils Coupling factor Finite element method Magnetic energy Wireless power transfer 

List of symbols



Alternating current


American wire gauge


Finite element method


Wireless power transfer



Magnetic field density (T)

\(C_\mathrm{p}\), \(C_\mathrm{s}\)

Capacitor sides: primary and secondary


Outer diameter for circular coils or width of a square coil (mm)


Separation between coils (mm)




Ferrite material

\(I_\mathrm{p}\), \(I_\mathrm{s}\)

Current sides: primary and secondary (A)


Coupling coefficient


Geometric factor


Optimal coupling coefficient

\(L_\mathrm{p}\), \(L_\mathrm{s}\)

Inductance sides: primary and secondary (\(\upmu \hbox {H}\))




Mutual inductance (\(\upmu \hbox {H}\))


Original coils (circular coils)


Square coils


Power of the source (W)


Active power consumed by the load (W)

\(R_\mathrm{p}\), \(R_\mathrm{s}\)

Resistance sides: primary and secondary (\(\Omega \))


Receiver coil


Transmitter coil


Voltage of power source




Optimal angular frequency (rad/s)

\(w_\mathrm{p}\), \(w_\mathrm{s}\)

Resonant frequency sides: primary and secondary (MHz)


Magnetizing reactance (\(\Omega \))

\(Z_\mathrm{p}\), \(Z_\mathrm{s}\)

Impedance sides: primary and secondary (\(\Omega \))

Greek symbols

\(\eta \)

Efficiency of the WPT

\(\phi _{ij}\)

Magnetic flux lines produced by i linking j coil



Transmitter coil


Receiver coil


Primary coil


Secondary coil



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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.División de IngenieríasUniversidad de GuanajuatoSalamancaMexico

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