Abstract In this article, an attempt has been made to model and estimate speed-dependent characteristic parameters of coupling misalignment and AMB, in an AMB integrated coupled flexible rotor system running in the supercritical frequency range. For estimation algorithm, desired current and displacement responses in time series are acquired from Simulink. The practical limitation of FEM modelling is the number of sensors and availability of measurement locations that have been overcome by applying a novel gyroscopic high-frequency condensation (GHFC) scheme. The transformation matrix obtained from standard high-frequency condensation (SHFC) is modified by adding a gyroscopic effect into the transformation matrix to achieve the novel GHFC. The numerical analysis has been performed on a coupled rotor train system along with AMB. The estimations are presented and compared for SHFC and GHFC. The GHFC is found effective over SHFC techniques. The effect of noisy response and modelling error on the estimation algorithm is analysed and found competent. The experimental responses obtained for a different level of misalignment conditions have been compared with the numerically simulated response and found that the application of AMB suppresses the excessive vibration.

中文翻译：

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超临界频率范围内耦合转子主动磁轴承系统的动力学行为分析

摘要 本文尝试在超临界频率范围内运行的 AMB 集成耦合柔性转子系统中，对耦合错位和 AMB 的速度相关特性参数进行建模和估计。对于估计算法，从 Simulink 获取时间序列中所需的电流和位移响应。FEM 建模的实际限制是通过应用新型陀螺高频冷凝 (GHFC) 方案克服了传感器数量和测量位置的可用性。通过在变换矩阵中加入陀螺效应来修改从标准高频凝聚 (SHFC) 获得的变换矩阵，以实现新型 GHFC。数值分析是在耦合转子系统和 AMB 上进行的。对 SHFC 和 GHFC 的估计进行了介绍和比较。发现 GHFC 优于 SHFC 技术。分析了噪声响应和建模误差对估计算法的影响并发现其胜任。在不同水平的错位条件下获得的实验响应与数值模拟响应进行了比较，发现 AMB 的应用抑制了过度振动。