Three-Phase Shunt Active Filter Control in Sliding Modes
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Abstract
A simple control strategy of the three-phase shunt active power filter that is connected to a non-linear load network is proposed. The filter consists of a three-phase voltage source inverter based on fully controlled switches, capacitor storage, and a first-order three-phase RL filter. The decomposition of the object of study according to the rates of motion of the dynamic system was performed. The fast subsystem is a circuit of compensation current control, the slow subsystem performs stabilization of the capacitor voltage. The basis of this approach is the separation of the vector of state variables into groups of components and their consistent use as control actions. To stabilize the DC voltage on the storage capacitor, a double twisting algorithm, which is based on the forced introduction of a one-dimensional second order sliding mode is used. The proposed strategy provides asymptotic stability in the error metric of the second-order sliding mode . The output signal of the voltage stabilization subsystem is a component of the reference signal for the current tracking circuit. A low pass filter to separate the subsystems is used. Compensation current is forming by the forced entering the first-order sliding mode. To reduce the number of current sensors in the system, an indirect control strategy is used. To generate the compensation current, a two-dimensional sliding manifold, which is a linear combination of components of two-dimensional vectors - the current error of the RL filter and some variable is used. The form of this variable is determined on the assumption that the first-order sliding mode in the current loop already exists and is ideal. Each component of this sliding surface is a linear combination of components of two-dimensional vectors. The first vector is the current error of the RL filter, the coordinates of the second are locally equivalent to the derivative of fundamental harmonic of this error. A simulation model is built and the simulation results are analyzed. The proposed strategy is compared with the traditional PI-regulation on the criteria of the duration of the transient process and the coefficient of harmonic distortion in the current consumed from the grid.
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