Switched-Reluctance Drive with Sigmoids-Based Pulse-Phase Control

This article presents a mathematical model of a switched-reluctance drive with direct torque control and omnipolar regulator. This model was obtained by generalizing some special cases of motors with the ratio of the number of stator and rotor teeth 6/4, 12/8, 72/48 and extended to the cases of any switched-reluctance motors (SRM). To implement single, paired and combined phase-switching using a new pulse-phase control, it is sufficient to use a general switching algorithm, which includes sigmoidal functions and on/off angles depending on the required type of switching. A switched-reluctance drive is a nonlinear dynamic system (MISO-system) of 1-phase 'agents' interacting on the state-space, the number of which is equal to the number of phases. Connection between the phases is ensured by the corresponding matrices of inductances. Model is intended for the development of control systems and modeling of positional drives (Sun tracking systems, telescopes) and allows parameterization using the results of FEM-analysis. Numerical results are best provided by the classical 4th-order Runge-Kutta method and methods with an adaptive step (Dormand-Prince and TR-BDF2).