Abstract
Efficiency and stray magnetic field are influenced simultaneously by design of planar coils in inductive power transfer. Their synergetic optimization is lacking in previous literature. Parametric sweep in finite-element simulation is one method for optimization but it's time-consuming because thousands of simulations are required. A faster method using matrix calculation is described in this paper. Efficiency and magnetic field are calculated with winding vectors, permeance matrices, and current-to-field matrices instead of being simulated. Physical parameters of coils such as inner radii, outer radii, and distribution of turns are represented with winding vectors. Parametric sweep in simulation is replaced by sweeping winding vectors in matrix calculation to derive Pareto fronts which are used to select optimized coils. Comparison between matrix calculation and experimental measurement for an exemplary set of coils shows maximum differences of 4% for inductances, 9% for equivalent series resistances, and 12.5% for stray magnetic field.
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