Universal fractional repetitive control for the selective harmonic current suppression in magnetically suspended rotor systems

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (18) : 165-172.

CUI Peiling,ZHANG Guoxi,LIU Zhiyuan,XU Han,HAN Bangcheng

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Abstract

In magnetically suspended rotor systems, harmonic currents are inevitably produced by the mass unbalance of the rotor and sensor runout, which will cause harmonic vibrations.The repetitive control (RC) is an effective method to eliminate periodic disturbances in a control system.The conventional RC (CRC) attempts to compensate all frequency components equivalently.However, in most practical applications, such as in magnetically suspended rotor (MSR) systems, low-order harmonics usually dominate the harmonic current.A universal selective fractional repetitive control (USFRC) scheme for harmonic current suppression was proposed, and the internal model for arbitrary-order discrete periodic time sequence was established.The proposed scheme can achieve the acceleration of the transient response of the system.By introducing fractional delay filters to approximate the ideal RC at fixed sampling rate, the proposed USFRC can provide frequency adaptability to eliminate low-order dominant harmonics.A stability criterion with the rigorous proof for USFRC system was addressed as well.The application example of a baseline pre-stable MSR system was given to demonstrate the effectiveness of the proposed approach.

Key words

magnetically suspended rotor / harmonic current suppression / repetitive control / internal model.

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CUI Peiling,ZHANG Guoxi,LIU Zhiyuan,XU Han,HAN Bangcheng. Universal fractional repetitive control for the selective harmonic current suppression in magnetically suspended rotor systems[J]. Journal of Vibration and Shock, 2019, 38(18): 165-172

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