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Parameter estimation and statistical analysis on frequency-dependent active control forces

机译：频率相关主动控制力的参数估计和统计分析

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摘要

The active control forces of an active magnetic bearing (AMB) system are known to be frequency dependent in nature. This is due to the frequency-dependent nature of the AMB system, i.e. time lags in sensors, digital signal processing, amplifiers, filters, and eddy current and hysteresis losses in the electromagnetic coils. The stiffness and damping coefficients of these control forces can be assumed to be linear for small limit of perturbations within the air gap. Numerous studies have also attempted to estimate these coefficients directly or indirectly without validating the model and verifying the results. This paper seeks to address these issues, by proposing a one-axis electromagnetic suspension system to simplify the measurement requirements and eliminate the possibility of control force cross-coupling capabilities. It also proposes an online frequency domain parameter estimation procedure with statistical information to provide a quantitative measure for model validation and results verification purposes. This would lead to a better understanding and a design platform for optimal vibration control scheme for suspended system. This is achieved by injecting Schroeder Phased Harmonic Sequences (SPHS), a multi-frequency test signal, to persistently excite all possible suspended system modes. By treating the system as a black box, the parameter estimation of the "actual" stiffness and damping coefficients in the frequency domain are realised experimentally. The digitally implemented PID controller also facilitated changes on the feedback gains, and this allowed numerous system response measurements with their corresponding estimated stiffness and damping coefficients.
机译：主动电磁轴承（AMB）系统的主动控制力实际上是依赖于频率的。这是由于AMB系统的频率相关性所致，即传感器，数字信号处理，放大器，滤波器中的时间滞后以及电磁线圈中的涡流和磁滞损耗。这些控制力的刚度和阻尼系数可以假定为线性的，以限制气隙内的扰动。许多研究还试图直接或间接地估计这些系数，而不验证模型并验证结果。本文旨在通过提出一种单轴电磁悬挂系统来简化测量要求并消除控制力交叉耦合功能的可能性，从而解决这些问题。它还提出了具有统计信息的在线频域参数估计程序，以提供用于模型验证和结果验证目的的定量度量。这将导致对悬挂系统的最佳振动控制方案有更好的理解和设计平台。这可以通过注入多频测试信号Schroeder相谐波序列（SPHS）来持续激发所有可能的悬浮系统模式来实现。通过将系统视为黑匣子，可以在实验中实现“实际”刚度和阻尼系数在频域中的参数估计。数字实现的PID控制器还促进了反馈增益的变化，这允许以其相应的估计刚度和阻尼系数进行大量系统响应测量。

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