Imbalance vibration is the main factor affecting the stability of rotating machineries equipped with active magnetic bearings (AMB). Accordingly, for safe and reliable operation, ISO 14839 standard sets out guidelines for measuring and evaluating the vibration and stability. However, technical approaches to realize fulfillment of the evaluation criteria have never been studied in theory. This paper presents insights of these criteria and proposes effective methods to simultaneously implement these evaluation criteria. Based on imbalance vibration model of AMB-rotor system, the theoretical connections between these evaluation indices are revealed. In order to obtain accurate vibration model of single-input single-output (SISO) AMB-rotor system, modal analysis is carried out and equivalent mass of SISO system is figured out. Afterwards, with the analysis of sensitivity function in theory, new indices of the evaluation criteria are proposed, which helps establish requirements of controller design and rotor balance quality. Finally, through experimental verification on a test rig, the limitations on the evaluation criteria can be negligible, and the proposed methods to simultaneously implement the evaluation criteria are validated.

不平衡振动是影响装有主动电磁轴承（AMB）的旋转机械稳定性的主要因素。因此，为了安全可靠地运行，ISO 14839标准制定了用于测量和评估振动与稳定性的准则。但是，理论上从未研究实现评估标准的技术方法。本文提出了这些标准的见解，并提出了同时实施这些评估标准的有效方法。基于AMB转子系统不平衡振动模型，揭示了这些评估指标之间的理论联系。为了获得单输入单输出（A）转子系统的精确振动模型，进行了模态分析，并求出了SISO系统的等效质量。之后，通过对灵敏度函数的理论分析，提出了评估标准的新指标，有助于建立控制器设计和转子平衡质量的要求。最后，通过在试验台上进行实验验证，评估标准的局限性可以忽略不计，并且验证了同时实施评估标准的方法。