Complex Vector Model of the Brushless Doubly Fed Machine in Unified Reference Frame

Abstract

The Brushless Doubly Fed Machine (BDFM) is a machine which incorporates the robustness of the squirrel cage induction machine and the speed and power factor control of a synchronous machine. In this paper, a detailed mathematical derivation of the BDFM unified d–q reference frame model is introduced. The model is based on coupled magnetic circuit theory and complex space-vector notation. Then the obtained dynamic model of the machine will be finally tested in simulation workbench using MATLAB/SIMULINK in order to verify the proposed model. This way, a simple dq model can be established, which could be an interesting tool for control synthesis tasks.