Modeling and Optimization of Active Power Filter Based on a Switched Linear System

Abstract—In this paper, modeling of a three-phase Active Power Filter (APF) considering hybrid dynamics is investigated. A shunt active filter is considered to compensate for the current disturbances from the utility load. Power electronic circuits using APFs are considered as hybrid systems, and the concepts and theories of switched linear systems are introduced to model converter control systems. First, a three-phase converter system is equivalent to a switch linear system (ESLS) based on space vector pulse-width modulator (SVPWM) theory. Then, an ESLS is further transformed into a linear equivalent switch linear system by linearization. Finally, an energy-to-energy (EE) controller is designed.

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