PD-Based Modulation Index Compensation for Improving the Transient Response of Three-Phase Induction Motors

Ihsan Auditia Auditia Akhinov, Rizdam Firly Muzakki, Joko Slamet Saputro

Abstract

Conventional Voltage per Frequency (V/f) control with a Proportional Integral (PI) controller offers a simple approach to induction motor speed regulation. However, its transient performance can be limited during startup and load disturbances. This study proposes a Proportional Derivative (PD) based Modulation Index Compensation (MIC) strategy to improve the transient response of a three-phase induction motor drive. The proposed method operates in parallel with the PI controller, using speed error and its derivative to adjust the inverter modulation index while maintaining the conventional V/f frequency regulation structure. The method was evaluated through MATLAB/Simulink simulations using a sinusoidal pulse width modulation (SPWM) inverter with a 10 kHz carrier frequency. During startup, the PI-MIC controller reduced the settling time from 0.5090 s to 0.41965 s and overshoot from 2.0621% to 1.4497% compared with conventional PI control. Under a 5 Nm load disturbance, PI-MIC produced a slightly larger speed dip of 13.703 rpm than conventional PI control at 12.674 rpm, but achieved a lower recovery peak. The torque settling time also decreased from 0.19491 s to 0.12086 s, although the torque ripple increased. Further evaluation showed that inverter dead time affected the speed, torque, and harmonic characteristics. These results indicate that PD-based MIC improves selected transient performance indicators, while its effectiveness depends on operating and switching conditions.

Keywords

Induction motor, V/f control, Modulation index compensation, Proportional derivative controller, Sinusoidal pulse width modulation.

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References

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DOI: https://doi.org/10.20961/jeeict.8.2.128548

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