Multi-Source Harmonic Extraction and Unified Suppression of Permanent Magnet Synchronous Motor for Mechanical Elastic Energy Storage
Yu Yang1,2, Yu Zongzhe1,2, Wang Mengyun3, Feng Lujing1,2, Zhang Qianhui1,2
1. State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources North China Electric Power University Baoding 071003 China; 2. Key Laboratory of Distributed Energy Storage and Microgrid of Hebei Province North China Electric Power University Baoding 071003 China; 3. Xinxiang Power Supply Company of State Grid Xinxiang 453700 China
Abstract：The vibration of flexible spring and power electronic equipment can cause multi-source harmonics in mechanical elastic energy storage (MEES) systems. Mechanical side harmonics are challenging to model accurately, and the multi-source harmonics cannot be characterized and suppressed uniformly in the MEES system. Therefore, a multi-source harmonics extraction and unified suppression method of permanent magnet synchronous motor (PMSM) is proposed for the MEES system. Firstly, the speed and electromagnetic torque of PMSM are used as a bridge, and the characterization of multi-source harmonics is modelled using the motor speed harmonics. The expression of multi-source and motor speed harmonics is derived from the motor rotor equation of motion, and the overall characterization of mechanical side and electrical side harmonics is realized. Then, in terms of multi-source harmonics information extraction, considering the existence of high and low-frequency harmonic signal components in the MEES system and the low signal-to-noise ratio, a matrix pencil algorithm combined with singular value difference is proposed. The matrix called Hankel is constructed using the measured rotor speed containing noise. Subsequently, the singular value difference algorithm is utilized to find the energy mutation point and determine the maximum number of modes of the multi-source harmonic signals. The multi-source harmonics information with different frequency components can be extracted accurately. Finally, based on the magnetic co-energy model of electromagnetic torque of PMSM and backstepping control, a unified suppression algorithm of multi-source harmonics under stator current vector orientation is designed to suppress the harmonics of different frequencies. To verify the control performance of the multi-source harmonics suppression controller, simulations and prototype system experiments are conducted. Simulation results show that the maximum error of high-frequency harmonics information extracted is about 1%, and the maximum error of low-frequency harmonics information extracted is about 5% using the matrix pencil algorithm combined with singular value difference. The multi-source harmonics suppression algorithm reduces the low-frequency harmonics content from 4% to 0.35% and the 6th harmonic content from 10.2% to 1%. The proposed algorithm has high accuracy of information identification and can satisfy various needs of engineering applications. The experimental results show that as the proposed controller is put into the MEES system, the angle between the D-axis and the d-axis is stabilized near 90 degrees, and the static error is tiny. In addition, the waveform of fundamental current vector amplitude is0 is smooth and has no fluctuations. The motor speed quickly converges to the reference with minimal fluctuations when the system runs steadily, and the peak-to-peak value of torque pulsation ΔT does not exceed 0.1 N·m. It indicates that the designed controller can quickly respond to sudden changes in motor speed and has good dynamic performance and stability. Also, the fluctuation of operating parameters is slight. The practical operational performance of the MEES system has been dramatically improved.
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2024, Vol. 39 
