Fractional Order PID Control for Reduction of Vibration and Noise on Induction Motor

Abstract

This article aims at investigating the impact of harmonic current, vibration, and noise on induction motors (IMs) with a fractional order (FO) proportional-integral-derivative (PID) controller. Conventional PID controllers are widely used in closed-loop vector-space to control IMs. In general, the parameters of a PID controller should be considered carefully because the vector-space loop can induce imbalanced current and magnetic flux in the $\alpha $ – $\beta $ sub-plane closed-loop system. If this occurs, the imbalanced current affects not only the IM performance but also the harmonic current, motor vibration, and noise. In this study, an FO PID ( $P^{\rho }I^{\lambda }D^{\mu }$ ) controller is used for stabilizing the effect of the current and harmonic on the IM. This PID controller is built based on the results of measurements on motor design parameters. By using the phase margin rule to design and determine suitable parameters, several orders of $\rho $ , $\lambda $ , and $\mu $ in their reasonable ranges are evaluated to obtain a relative optimal FO ( $P^{\rho }I^{\lambda }D^{\mu }$ ) controller. This can improve the performance of the IM in terms of harmonic current, vibration, and noise, more than a conventional PID controller can achieve.