Modeling and Sliding Mode Control for Three-Phase Active Power Filters Using the Vector Operation Technique

• Published in: IEEE transactions on industrial electronics (1982) Vol. 65; no. 9; pp. 6828 - 6838
• Main Authors: Morales, Javier, de Vicuna, Luis Garcia, Guzman, Ramon, Castilla, Miguel, Miret, Jaume
• Format: Journal Article Publication
• Language: English
• Published: New York IEEE 01.09.2018; The Institute of Electrical and Electronics Engineers, Inc. (IEEE); Institute of Electrical and Electronics Engineers (IEEE)
• Subjects: Active control; Control stability; Control systems; Control systems design; Converters; Electrònica industrial; Enginyeria electrònica; Harmonic analysis; Hysteresis; Industrial electronics; Modelling; Modulation; Nonlinear control; power factor correction; Power system harmonics; shunt active power filter (SAPF); Sliding mode control; sliding mode control (SMC); Stability analysis; Switches; Switching; Switching frequency; Voltage control; Àrees temàtiques de la UPC
• ISSN: 0278-0046; 1557-9948
• DOI: 10.1109/TIE.2018.2795528

Traditionally, the vector operation technique (VOT) has been used to control three-phase converters using one cycle control. In this paper, a three-phase active power filter large-signal model with a VOT in a new coordinate system is presented. By using the VOT, only two phase-legs are switching at high frequency, thus reducing the switching losses. This paper not only covers the literature gap about the modeling of three-phase converters using the vector operation, but also presents a sliding mode control for this converter. The control scheme consists of a nonlinear matrix transformation in order to obtain the voltages and currents in a new two-dimensional frame, <inline-formula> <tex-math notation="LaTeX">\gamma \theta</tex-math></inline-formula>-frame, a sliding mode controller designed in these coordinates, and a modulator to obtain the control signals in a natural frame. The sliding mode control is designed with the help of the presented large-signal model assuring sinusoidal grid currents in phase with the grid voltages. This controller provides a fast transient response against sudden load changes with a good current tracking capability and a reduction of the switching losses. A stability analysis is performed in order to validate the control parameters. Experimental results are provided using a fully digital control system in order to validate the performances of the proposed controller.