Accuracy and Stability Enhancement of PEEC Models for the Time and Frequency Domain

In the classical full-wave PEEC model, single delay approximations were used for the partial elements, the partial inductances and the normalized potential coefficients. It was later shown that the resultant system of delay differential equations was unstable for some time domain applications. Recently, several schemes were proposed for the accuracy and stabiity improvements. In this paper, we consider the stability and accuracy enhancement of the PEEC model by improving the evaluation of the partial element based on the subdivision technique which was proposed earlier. This approach allows the proper modeling of the amplitude and phase of the partial element equivalent circuit coefficients. The computational challenge is the efficient and fast computation of the coefficients without loss of accuracy. Results for a scheme with the least possible subdivisions are shown in the frequency domain. The frequency domain behavior can be directly related to the partial element coupling behavior in the time domain which impacts the stability of the system of delay differential equations.