Purpose

The purpose of the paper is to study the stability control of permanent magnet (PM) and electromagnetic hybrid Halbach array electrodynamic suspension (EDS) system because of the poor suspension stability caused by the well-known under-damped nature of PM EDS system. The adjustment control is realized by PM and electromagnetic hybrid Halbach array, which is composed by winding active normal conductor coils on PM surface.

Design/methodology/approach

The three-dimensional (3-D) electromagnetic force analytical expression of PM and electromagnetic hybrid Halbach array EDS system for a nonmagnetic conductive plate is derived. And the accuracy of the derived equations is verified by a 3-D finite-element model (FEM). Basing on the 3-D levitation force expression, an acceleration feedback suspension controller is designed to suppress the vibration of PM EDS system, and the suspension stability of the system under the track and load disturbance was simulated and analyzed.

Findings

The 3-D electromagnetic force comparison of analytical model and FEM are in good agreement, which verifies the correctness of the analytical expression. The simulation results show that the acceleration feedback suspension controller can make the system have good suspension stability under the external disturbance. So it proved that the PM and electromagnetic hybrid Halbach array EDS system can overcome the poor suspension stability caused by the under-damped nature of PM EDS system through the designed acceleration feedback suspension controller.

Originality/value

This paper designed an acceleration feedback suspension controller to suppress the vibration of PM and electromagnetic hybrid Halbach array EDS system under external disturbance, basing on the derived levitation force analytical expression. And the simulation results show that the acceleration feedback suspension controller can make the system have good suspension stability under the external disturbance.

中文翻译：

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永磁电磁混合Halbach阵列电动悬挂系统的稳定性控制

目的

本文的目的是研究永磁 (PM) 和电磁混合 Halbach 阵列电动悬架 (EDS) 系统的稳定性控制，因为 PM EDS 系统众所周知的欠阻尼特性导致悬架稳定性较差。调节控制由永磁体和电磁混合海尔贝克阵列实现，海尔贝克阵列由永磁体表面缠绕有源法向导体线圈组成。

设计/方法/方法

推导出用于非磁性导电板的 PM 和电磁混合 Halbach 阵列 EDS 系统的三维 (3-D) 电磁力解析表达式。并且导出方程的准确性通过 3-D 有限元模型 (FEM) 进行验证。基于3-D悬浮力表达式，设计了一种加速度反馈悬架控制器来抑制PM EDS系统的振动，并对系统在轨道和载荷扰动下的悬架稳定性进行了仿真分析。

发现

解析模型与有限元法的三维电磁力对比结果吻合较好，验证了解析表达式的正确性。仿真结果表明，加速度反馈悬架控制器可以使系统在外部扰动下具有良好的悬架稳定性。因此证明PM和电磁混合Halbach阵列EDS系统可以通过设计的加速度反馈悬架控制器克服PM EDS系统欠阻尼特性导致的悬架稳定性差。

原创性/价值

基于推导出的悬浮力解析表达式，本文设计了一种加速度反馈悬架控制器来抑制PM和电磁混合Halbach阵列EDS系统在外部扰动下的振动。仿真结果表明，加速度反馈悬架控制器可以使系统在外部扰动下具有良好的悬架稳定性。