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2026-08-26
Unbalance Vibration Compensation Control of Outer Rotor Coreless Bearingless Permanent Magnet Synchronous Motor Based on Optimized Secondary-Path Estimation VSS-FXLMS Algorithm
By
Progress In Electromagnetics Research C, Vol. 173, 9-19, 2026
Abstract
Rotor mass eccentricity in an outer-rotor coreless bearingless permanent magnet synchronous motor (ORC-BPMSM) causes synchronous unbalance vibration, which degrades suspension stability and limits high-speed operation. To suppress this vibration, an optimized secondary-path estimation variable-step-size filtered-x least mean square (OSPE-VSS-FxLMS) feedforward compensation method is proposed. First, the rotor unbalance vibration mechanism is derived from the suspension force model. Then, a hyperbolic tangent-exponential (tanh-exp) function is introduced to adaptively regulate the FxLMS step size, improving the trade-off between convergence speed and steady-state error. Meanwhile, a normalized least mean square (NLMS)-based online secondary-path estimation strategy is developed to reduce gradient deviation caused by secondary-path mismatch. Simulations and experiments are conducted under constant-speed and acceleration conditions. Compared with the uncompensated condition at 3000 r/min, the displacement vibration amplitudes in the x- and y-direction are both reduced to 11 μm, corresponding to a reduction of about 69.4%. The effectiveness of the proposed unbalance vibration compensation method is confirmed by both simulated and experimental results.
Citation
Zelong Zhao, Huangqiu Zhu, and Yichen Liu, "Unbalance Vibration Compensation Control of Outer Rotor Coreless Bearingless Permanent Magnet Synchronous Motor Based on Optimized Secondary-Path Estimation VSS-FXLMS Algorithm," Progress In Electromagnetics Research C, Vol. 173, 9-19, 2026.
doi:10.2528/PIERC26062903
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