A vibration analysis of the permanent magnet synchronous motor under the effect of proportional derivative control

Abstract

One of the drawbacks of the electric motor is that it starts overheating after a short time. The reason can be associated with oscillating vibration, so the present study uses a proportional derivative control (PD control) to show the extent to which the Permanent magnet synchronous motor (PMSM) can be effective.The external force is the component of the non-linear dynamical system. The equation of the (PMSM) system is explained with two-degree-of-freedom (2dof) differential coupled equations, consisting of the major body (motor current) and the cutting drive system. The present study uses the approximate method of multiple scales perturbation technique (MSPT) to get an approximate solution, showing the response equation before using (PD) and to achieve the highest effect on the control system so as to ensure the highest efficiency at the lowest possible cost. Different numerical tests have been conducted (NPDCVF, NVC, PPF, PD, delay velocity) and showed that (PD) has the best effect and is able to control the vibrations with more accuracy than others. Then, the vibration value of the system has been studied numerically before and after applying the control method of (MSPT). By combining the analysis of the resonance situation via both the phase plane techniques and the frequency response equation    1  2,  2  , within the utilization of Runge-Kutta of the fourth-order, the stability of the numerical solution has been investigated. Then, by employing the MATLAB tool, the impact of various parameters on model performance has been examined numerically. Lastly, a comparison with earlier research is done.