A Mathematical Model and PI Controller Design Based on Indirect Vector Control for Permanent Magnet Synchronous Motor

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Natthawut Kongchoo
Phonsit Santiprapan
Nattha Jindapetch


A mathematical model of a permanent magnet synchronous motor (PMSM) is necessary to design the control of PMSM drives. The mathematical model of a three-phase system is not commonly used for control design since this approach is a time-varying model. As a result, control strategy design becomes even more difficult. Due to this problem, this paper presents a dynamic model of the PMSM using the dq modeling method. The dynamic model derived in this work has been validated with the exact topology model in the MATLAB/Simulink program. In addition, this model is applied to designing the indirect vector control for a PMSM drive. The speed and the current control loops based on the PI controller are considered. The simplified design approach for the PMSM drives is presented in this paper. The simulation results show that the proposed controller design can accurately regulate the actual speed obeying the command speed. The speed accuracy is up to 99.97% in the load torque changes and 99.98% in the command speed changes.

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How to Cite
N. Kongchoo, P. Santiprapan, and N. Jindapetch, “A Mathematical Model and PI Controller Design Based on Indirect Vector Control for Permanent Magnet Synchronous Motor”, ECTI-CIT Transactions, vol. 16, no. 3, pp. 259–266, Jun. 2022.
Research Article


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