Efficient rectangular spiral coil simulation based on Partial Element Equivalent Circuit method using quasistationary approximation

We present an efficient method for simulating the impedance of a rectangular spiral coil in the high frequency regime based on the Partial Element Equivalent Circuit (PEEC) method. We use closed form expressions of the corresponding mixed potential integral equation, considering self and mutual inductance as well as capacitance between the elements of a rectangular spiral coil geometry. From the PEEC circuit elements, we abstract an equivalent circuit model that accounts for dominant field interactions. We compare the obtained impedance as a function of frequency with the results of a commercial field solver and benchmark the simulation duration. Our Matlab simulator is by a factor of 8.2 faster, which allows for quick optimization of the spiral coil.