Discrete-Time Luenberger Observer for Interior Permanent Magnet Synchronous Motor with Low-Frequency-Ratio
Yuan Guofeng1, Niu Zenong1, Zheng Chunyu1,2, Li Zhengxi1
1. Power Electronics and Motor Drives Engineering Research Center of Beijing North China University of Technology Beijing 100144 China;
2. School of Automation and Electrical Engineering University of Science & Technology Beijing Beijing 100083 China;
This paper proposes a design method of discrete-time Luenberger observer in the stationary coordinate system for position sensorless control of interior permanent magnet synchronous motor (IPMSM) drives. This method achieves a low pulse width modulation (PWM) to operating fundamental frequency ratio. Based on extended back-EMF in the stationary coordinate system, a discrete-time complex vector IPMSM model is established to describe the exact mathematical relationship between the applied voltage and the measured current. Consequently, combined with the dynamic characteristics of the back-EMF, a full-order Luenberger observer is constructed. Aiming to the problem that the observer contains pole point in the imaginary axis, a linear trajectory method in discrete domain is used for the design of feedback gain matrix. This method can guarantee the stability of the observer and allow fast convergence. The proposed discrete-time Luenberger observer was verified on the 14kW IPMSM drive platform, and the experimental results demonstrated the feasibility and effectiveness of this observer in low-frequency-ratio.
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