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首页> 外文期刊>IEEE Transactions on Magnetics >Dynamic Stiffnesses of Active Magnetic Thrust Bearing Including Eddy-Current Effects
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Dynamic Stiffnesses of Active Magnetic Thrust Bearing Including Eddy-Current Effects

机译：包括涡流效应在内的主动磁推力轴承的动态刚度

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摘要

The eddy currents induced in a thrust bearing result not only in a power loss of the system but also in phase lag and a decrease in magnitude of the magnetic force. Therefore, an accurate model including eddy-current effects would be highly beneficial at the design stage. We present a linear model including eddy-current effects for a typical active magnetic thrust bearing (AMTB). We define and calculate the dynamic current stiffness and displacement stiffness using both an analytical method and transient finite element (FE) analysis. We present a simple magnetic circuit model including eddy currents from which the two stiffnesses can be derived analytically. Furthermore, by using a transient analysis of the FE model, flux saturation, leakage, and fringing effects can all be taken into account. We show that the two stiffnesses have the same frequency response characteristics, both in the analytical model and from the results of the linear FE analysis, when the leakage and fringing effects are ignored. Even in the more practical case when the flux saturation, leakage and fringing effects are considered, the two stiffnesses can be considered to have the same frequency response characteristics within the 3 dB bandwidth without introducing much error. The open-loop frequency response of the two stiffnesses derived from the analytical model and the FE model agrees well with the experimental results.
机译：推力轴承中产生的涡流不仅导致系统的功率损耗，而且导致相位滞后和磁力大小的减小。因此，在设计阶段，包括涡流效应的精确模型将非常有益。我们提出了一个线性模型，其中包括典型主动磁推力轴承（AMTB）的涡流效应。我们使用分析方法和瞬态有限元（FE）分析来定义和计算动态电流刚度和位移刚度。我们提出了一个包括涡流的简单磁路模型，从中可以分析得出两个刚度。此外，通过对FE模型进行瞬态分析，可以将磁通饱和度，泄漏和边缘效应全部考虑在内。我们表明，在分析模型中以及从线性有限元分析的结果来看，当忽略泄漏和边缘效应时，两个刚度具有相同的频率响应特性。即使在考虑磁通饱和，泄漏和边缘效应的更实际的情况下，也可以认为这两个刚度在3 dB带宽内具有相同的频率响应特性，而不会引入太多误差。从解析模型和有限元模型推导出的两个刚度的开环频率响应与实验结果非常吻合。

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