Mathematical modelling of PAF with voltage supply for non-linear loads By GSSA method

Abstract

This work aims to improve well known generalized averaged models for mathematical modelling of parallel active filter (PAF) with voltage supply. To achieve this task, the method is adopted to generalized state space averaging (GSSA) method. Non-linearity of the system is removed by using GSSA method. Relation between the state variables of the system is expressed by linear equations. An exact and fast approximation of the system parameters is achieved. Non-linearity of real elements that causes many problems such as long execution time, divergence, and huge produced files do not exist thanks to the method. A single phase full-bridge voltage supply inverter is proposed as a parallel active filter. A diode rectifier with RL load is used as a nonlinear load. In this study, simulation results of parallel active filter mathematically modeled with GSSA model are compared to real-time designed simulation results of parallel active filter realized power simulation with PSIM software. In the results obtained through mathematical models with real model has been observed that a good match.