International Research Journal of Engineering and Technology (IRJET)
e-ISSN: 2395-0056
Volume: 12 Issue: 10 | Oct 2025
p-ISSN: 2395-0072
www.irjet.net
Improvement of the Performance and Stability of Dual Stator Induction Machine Using LQR Controller Bariakwaadoo S. Bere1, Isidore U. Uju2 1Department of Electrical/Electronic Engineering Technology, Kenule Beeson Saro-Wiwa Polytechnic, Bori, Rivers
State, Nigeria, +234-806-061-5520 2 Department of Electrical/Electronic Engineering, Chukwuemeka Odumegwu Ojukwu University,Uli, Anambra
State, Nigeria,+234-806-451-9778 -----------------------------------------------------------------------***-------------------------------------------------------------------Abstract Induction machines have been reliable in its operations and this increase its usage in the industries. Demand for better performance in its area of application calls for research to address some of its shortcomings like speed variation with applied load, poor trajectory tracking capabilities, low frequency vibrations. The main objective of the study was to improve the performance and stability of Dual Stator Induction Machine (DSIM) using Linear Quadratic Regulator (LQR) controller. The implementation of the DSIM control strategy involved investigation of its performance improvement using LQR compared to PID control method. The evaluation considered a 5N load condition with performance metric such as step response analysis (overshoot, rise time and settling time), bode plot analysis and sigma plot analysis. To analyse the complex space vector model of the DSIM, a complete set of simulations were carried out using MATLAB/Simulink 2021b modelling software. From the analysis, it was found out that, the LQR controller had a good torque stability, low torque overshoot and moderate current ripple. The time domain metric shows that; PID had an overshoot, rise time and settling time of 4.6%, 0.213s and 0.598s respectively; LQR had an overshoot, rise time and settling time of 0.152%, 0.288s and 0.47s respectively. The frequency response analysis shows that PID controlled DSIM peak gain is -6.02dB and LQR controlled DSIM had a gain and phase margins of 48.8dB (at frequency of 0.0104rad/s) and 19.80(at frequency of 0.97rad/s) respectively. In sigma plot analysis, PID controller had a higher negative singular value while LQR has a lesser negative singular value. The findings for current, torque and speed response shows that the efficiency of LQR is better than that of PID controller. Time domain analysis shows that LQR is superior to PID controller in terms of overshoot, rise time and settling time. In sigma plot analysis, PID controller tends to perform well at low frequencies, but lacks high frequency robustness which is improved in LQR. Increased peak indicate power robustness and sensitivity to disturbance. Flatter shape of LQR indicate uniform performance and robustness than PID especially at high frequencies.
Keywords: Induction Machine, Dual Stator, Stability, Performance 1.0 INTRODUCTION 1.1 Background of study A Dual Stator Induction Motor or Machine (DSIM) is an induction machine which has two separate three-phase stator windings, sharing the same machine core and the common squirrel cage rotor winding. Power is supplied to the two windings by two separate variable frequency inverter drives to provide two independently controllably torque components. In the machine, alternating current is applied to the stator and alternating currents are induced in the rotor by transformer action (Mataray and Kakkar. 2011)[1]. At low speed, the power supplied to one of the windings can produce torque which opposes the torque from the power applied to the other winding, so that very low speed and standstill operation can be achieved while the frequency of the power supplied by the inverters is always greater than the minimum frequency. At higher operating speeds, power is supplied to the two windings so that the torque from the windings adds. The dual stator machine can be built with minimal modifications to standard winding configurations.
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