Inductance optimisation method of a four-wire shunt APF based on unified mathematical model

ABSTRACT

Leg inductors which connect a shunt Active Power Filter (APF) to power network play a crucial role in guaranteeing desired performances of the APF. Optimal tuning of the inductances is still a tricky problem that has not yet been tackled systematically and theoretically. This paper proposes a novel inductance optimisation method that is universally applicable to four-wire shunt APFs with arbitrary topologies and PWM strategies. Based on the unified mathematic model, indexes used to quantitatively evaluate the abilities of a four-wire APF in compensating phase harmonic currents and depressing neutral line current are formally formulated. The upper and lower value constraints of the inductances are derived by comprehensively taking into account the characteristics of load harmonic profile and PWM strategy. Inductances are further optimised in the feasible value ranges with concern of several engineering application issues. Simulation and lab experiment results are provided to verify the validity and effectiveness of the proposed method.

KEYWORDS:

• Three-phase four-wire active power filter parameter value optimisation unified mathematical model harmonic compensation ability