Идентификация математической модели фильтрокомпенсирующего устройства на основе каткона с учетом нелинейной характеристики магнитопровода

Abstract

The article considers the complete equivalent circuit of a harmonic filtration and power factor correction (HFPFC) device constructed on the basis of a coil capacitor (in the Russian terminology, katkon), a new passive component of electric circuits. The proposed equivalent circuit takes into account the real parameters of the conductors and dielectric, as well as the magnetic core’s weak nonlinearity. An algorithm for identifying the parameters of the HFPFC physical model’s elements is suggested. The algorithm involves an experimentally study of the device’s frequency responses and solution of the system of nonlinear algebraic equations using the iteration method in the MathCAD environment. Application of the proposed algorithm makes it possible to use the minimal admissible number of measurements and measurement instruments, and calculate the sought parameters solely on the basis of amplitude-frequency responses (AFRs) without considering phase-frequency responses. Adequacy of the considered katkon-based HFPFC device model has been demonstrated from a comparison between the experimental and analytically calculated AFRs, and the accuracy of identifying the device parameters is estimated. The absolute and relative errors in the studied frequency band (50 Hz—10 kHz) have been shown to be within the permissible limits.