基于通用选择性分数重复控制的磁悬浮转子谐波电流抑制  

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

作　　者：崔培玲[1] 张国玺 刘志远 许涵 韩邦成[1] CUI Peiling;ZHANG Guoxi;LIU Zhiyuan;XU Han;HAN Bangcheng(School of Instrumentation and Optoelectronic Engineering,Beihang University,Beijing 100191,China)

机构地区：[1]北京航空航天大学仪器科学与光电工程学院

出　　处：《振动与冲击》2019年第18期165-172,共8页Journal of Vibration and Shock

基　　金：国家自然基金面上项目(61673044;61573032);国家重点研发计划课题(2016YFB0500804)

摘　　要：在磁悬浮转子系统中,转子的质量不平衡和传感器误差不可避免地会产生谐波电流,由此产生谐波振动。重复控制是一种消除控制系统周期性扰动的方法,传统的重复控制器等效地补偿所有谐波频率分量。然而,在磁悬浮转子系统中,谐波电流中低次谐波成分通常表现为主导谐波。针对这些问题,提出了一种基于通用的选择性分数阶重复控制的磁悬浮转子系统的谐波电流抑制方法,建立了kn+i阶离散周期序列的内模。通过引入具有独立控制增益的并联重复控制结构,并根据具体谐波幅值大小调整每个支路控制器增益,加快了系统的瞬态响应速度;采用分数延迟滤波器实现了抑制低次主导谐波时的频率的自适应,给出了系统稳定性判据。在磁悬浮转子系统中验证了该方法的有效性。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.

关 键 词：磁悬浮转子(MSR) 谐波电流抑制 重复控制 内模 

分 类 号：TH212[机械工程—机械制造及自动化] TH213.3