An Efficient Control System of Shunt Active Power Filter in Three-Phase Four-Wire Power System

Abstract

On the basis of the three-phase four-wire shunt active power filter (APF), this paper discusses the control system. In order to produce compensation current faster, it takes the fusion of FFT and p-q

Adaptive Nonlinear Control of Reduced‐Part three‐Phase Shunt Active Power Filters

“…Under the PE conditions (10a-b), the adaptive observer (9a-e) when applied to the system (8a-b), with respect to the Lyapunov function candidate (14), is exponentially convergent, that is, the estimatesX j andθ j converge exponentially to their true values X j and θ j , as t→∞. Specifically, the following inequality holds, for j = 1, 2, 3:…”

“…As mentioned previously, one significant contribution of the present study is that the internal impedances ( R g j , L g j ; j = 1, 2, 3 ) of the three‐phase power grid are not assumed to be known and are not assumed to be identical, unlike previous works. Indeed, in most previous works (e.g., ), the grid internal impedances are supposed to be zero. In others (e.g., ), the impedances are not supposed to be zero, but they are assumed to be known and identical.…”

“…Another limitation is that all system parameters were supposed to be known, including the grid impedances. Furthermore, in most previous works, the grid internal impedances were supposed to be zero (i.e., the grid was supposed to be an ideal voltage source) . In real life, these impedances are nonzero and must be accounted for in the internal model of three‐phase power grid.…”