Unbalance Compensation for Magnetically Levitated High-Speed Motors Based on Adaptive Variable Step Size Least Mean Square Algorithm
Zhou Tianhao1, Chen Lei2, Zhu Changsheng1, Li Pengfei1
1. College of Electrical Engineering Zhejiang University Hangzhou 310027 China; 2. No. 704 Research Institute China Shipbuilding Industry Corporation Shanghai 200031 China
Abstract：For unbalance vibration in magnetically levitated high-speed motors, a modified adaptive variable step-size least mean square (LMS) algorithm was proposed to achieve unbalance compensation. Firstly, a formula to get appropriate step size was given by analyzing the influence of step size and frequency on the characteristics of LMS algorithm. Then, with the help of an adaptive filter based on variable step-size LMS algorithm, the minimum displacement control was achieved by online identifying speed-frequency component in displacement signal and adding feedback control. In addition, the stability of closed-loop system was analyzed using generalized root locus. In order to achieve unbalance compensation within the whole speed range, a varying step-size sign strategy was used. Finally, the proposed method was applied to the simulation model of four-degree-of-freedom rotor under the four conditions of frequency matching, frequency mismatching, noise existing and constant acceleration, and relevant experiments were carried out on the magnetically levitated high-speed motor rotor system test platform. Simulation and experimental results show that the proposed method can effectively suppress the imbalance synchronous vibration.
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2020, Vol. 35 
