Identification of Parameters of the Capacitor Equivalent Scheme Using Monte Carlo Methods

Abstract

The identification of the internal parameters of the model of real capacitor using Monte Carlo methods is considered. It is based on measurement results of the capacitor impedance or admittance components available for selected frequencies on its terminals. The measured parameters and identified parameters are usually linked by a system of nonlinear relationships and their analytical solution is either very troublesome or even non-existent. As an example, parameters of the five-element equivalent circuit of capacitor are identified by two Monte Carlo (MC) methods, single and multi-iterative. The results of simulated measurements of the equivalent impedance components of capacitor at several frequencies are given. From the received distributions of searched parameters, the accuracy of their identification is estimated. Obtained results show that the identification performed by MC multi-iterative method is sufficiently fast and is possible to obtain an acceptable accuracy. Then this MC method is recommended for use in the measurement practice.