An advanced simulation of a PMSM control system based on a Bulirsch-Stoer implementation with an Arduino Due

Abstract

The Arduino Due is a microcontroller board based on the Atmel SAM3X8E ARM Cortex-M3 CPU and we can use it to make the speed control and simulation of a PMSM through the Bulirsch-Stoer implementation. The power system that we want to research on contains three parts: an inverter, an electrical machine and a controller. Firstly, we use the classical Electric Machine Models of PMSM, then we present it as a set of Ordinary Differential Equation. Secondly, we solve the se equations with the Bulirsch-Stoer algorithm and compare it with the results of Matlab. Finally, we design a suitable control algorithm which contains speed PI controller and current PI controller for the system. The simulation has to deal with a hybrid system, described on the one hand by continuous differential equations solving the model of the electrical machine, and on the other hand by a discrete controller. The continuous part of the system is described by state-space equations that can be solved by the Bulirsch-Stoer algorithm.