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Precision Modeling Method Specifically for AC Magnetic Bearings

机译：交流电磁轴承的精确建模方法

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Compared with dc magnetic bearings, an ac magnetic bearing has obvious advantages in cost savings and reducing power consumption. For more precise control of the ac magnetic bearing, it is particularly important to build a correct mathematical model of radial suspension forces. Due to the working principle of the ac magnetic bearing, it has similarities to the suspension subsystem of a bearingless motor, thus the modeling method for radial suspension forces of the bearingless motor could be referenced for modeling the radial suspension forces of the ac magnetic bearing. This paper presents a new modeling method based on the Maxwell tensor method for radial suspension forces of the ac magnetic bearing. Compared with existing methods, the invention method designed specially for the ac magnetic bearing overcomes inaccuracy and possesses advantages of directness and universality. Taking the ac hybrid magnetic bearing (ac HMB), for example, this paper presents the mathematical modeling process of radial suspension forces with the proposed method. The comparison result between the models established by the equivalent magnetic circuit method (the most classical modeling method for magnetic bearings currently) and by the proposed method shows the high uniformity in their forms of expression (the only difference is the coefficient between them). Being different from the traditional modeling method, we do not need the detailed derivation and complex theoretical computation based on the particular magnetic circuit analysis for this particular case but simply modify several key expressions representing magnetic circuit features in the modeling process with this method. Therefore, the proposed method invented especially for the ac magnetic bearing has the greater advantage of directness and universality than previous modeling method. To illustrate the precision of the proposed modeling approach, the verification experiment is designed and the encouraging experimental results sh- w that the model based on the Maxwell tensor method is more close to the test results comparing with equivalent magnetic circuit method. Thus, the proposed modeling method makes the modeling results on radial suspension forces of the ac magnetic bearing more accurate, universal, and direct.
机译：与直流电磁轴承相比，交流电磁轴承在节省成本和降低功耗方面具有明显的优势。为了更精确地控制交流电磁轴承，建立径向悬挂力的正确数学模型尤为重要。由于交流电磁轴承的工作原理，与无轴承电机的悬架子系统相似，因此可以为无轴承电动机的径向悬架力的建模方法参考。本文提出了一种基于麦克斯韦张量法的交流磁轴承径向悬浮力建模方法。与现有方法相比，专为交流磁轴承设计的本发明方法克服了误差，具有直接性和通用性的优点。以交流混合电磁轴承（ac HMB）为例，提出了径向悬浮力的数学建模过程。通过等效磁路方法（当前最经典的电磁轴承建模方法）和所提出的方法建立的模型之间的比较结果表明，它们的表达形式具有很高的一致性（唯一的区别是它们之间的系数）。与传统的建模方法不同，在这种情况下，我们不需要基于特定磁路分析的详细推导和复杂的理论计算，而只需使用该方法修改代表磁路特征的几个关键表达式即可。因此，与以前的建模方法相比，专门为交流电磁轴承发明的方法具有更大的直接性和通用性。为了说明所提出的建模方法的精度，设计了验证实验，令人鼓舞的实验结果表明，与等效磁路法相比，基于麦克斯韦张量法的模型更接近于测试结果。因此，所提出的建模方法使得对交流电磁轴承的径向悬挂力的建模结果更加准确，通用和直接。

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