Emprego do Ajuste Vetorial Complexo na Síntese Racional de Sistemas Representados por Admitâncias

Abstract

The pole relocation algorithm known as Vector Fitting (VF) has been proven to be a reliable and accurate approach for frequency domain realization. However, there are some limitations as the need for a second stage to enforce passivity to ensure stable time-domain responses. In this work, it is investigated if an improved response for the synthesis of admittances (scalar or matrices) may be obtained if the assumption of complex conjugate pairs is dismissed. This formulation, known as Complex Vector Fitting (CVF) has been previously considered in the synthesis of Scattering parameters of photonic systems. Four test-cases are considered: two regarding the synthesis of power transformer terminal admittance, one concerning the modeling of a frequency-dependent network equivalent (FDNE), and another focusing on the fitting of a transmission line with frequency-dependent parameters. The results indicated that CVF leads to more accurate results with lesser passivity violations. In fact, there were passivity violations in only two of the test-cases.