A new mathematical model and control of a three-phase AC-DC voltage source converter

TLDR

A stationary and synchronous reference‑frame model of a three‑phase voltage source converter was developed and used to derive analytical expressions for controller gains, design feedforward current regulators that decouple d‑q phases, and implement voltage and current control loops—including a 140‑kW regenerative VSC—on a digital signal processor. The model enabled first‑order current control loops with improved tracking, yielding bandwidths roughly 20× and 60× lower than the sampling frequency, and all predictions were experimentally verified.

Abstract

A new mathematical model of the power circuit of a three-phase voltage source converter (VSC) was developed in the stationary and synchronous reference frames. The mathematical model was then used to analyze and synthesize the voltage and current control loops for the VSC. Analytical expressions were derived for calculating the gains and time constants of the current and voltage regulators. The mathematical model was used to control a 140-kW regenerative VSC. The synchronous reference-frame model was used to define feedforward signals in the current regulators to eliminate the cross coupling between the d and q phases. It allowed the reduction of the current control loops to first-order plants and improved their tracking capability. The bandwidths of the current and voltage-control loops were found to be approximately 20 and 60 times (respectively) smaller than the sampling frequency. All control algorithms were implemented in a digital signal processor. All results of the analysis were experimentally verified.