Fractional Order PID Tuned using Symbiotic Organism Search Algorithm for Field Oriented Control of The Permanent Magnet Synchronous Motor

Abstract

This paper presents the model of the permanent magnet synchronous motor (PMSM) controlled by the field oriented control (FOC) technique using the fractional order proportional, integral, and derivative (FOPID) regulators. To bring out the maximum potential of the FOPID controller the algorithm of symbiotic organism search (SOS) has been used to obtain the gains of the latter. SOS, FOC, and fractional calculus were explained. The tuning efficiency of SOS has been compared to that of the algorithm of particle swarm optimization (PSO) when tuning the FOPID controllers for the PMSM under identical conditions and constraints. SOS algorithm managed to achieve better fitness than PSO. The obtained controllers were tested under various speeds and load charges. The inspection of the simulated results of speed, torque and induced currents proved the supremacy of SOS over PSO when tuning the parameters of the FOPID.