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In this paper, we focused on the design of an adaptive backsteppingcontroller (adaptive-BSC) for direct power control (DPC) of a three-phase PWMrectifier. In the proposed system, it is desired to control both the output DCvoltage of the rectifier and the reactive power simultaneously by making themtrack desired respective values. This was done by having independent virtualcontrol signals for both the output voltage and the reactive power. Theadaptive control signals were gotten from the dynamic equations of thethree-phase system. For comparison, both the BSC and adaptive-BSC equationswere developed. Numerical simulations were performed on both of them on a 5kWsystem. The proposed adaptive-BSC was designed to work under more challengingsystem variations as compared with the BSC as it has to estimate the value ofthe unknown system load. Despite this, it still performed better than its BSCcounterpart.

Design of Adaptive Backstepping Control for Direct Power Control of Three-Phase PWM Rectifier)