电磁轴承最优刚度与系统结构参数关系的研究

STUDY ON RELATIONSHIP BETWEEN OPTIMAL STIFFNESS AND THE STRUCTURE PARAMETERS OF AMB

电磁轴承系统中最重要的两个机电结构参数是定转子间气隙和定子静态偏置磁通密度，影响着支承刚度和承载力的基本特征；轴承的支承刚度大小和承载力的线性范围决定了轴承的基本性能。在Ｍａｘｗｅｌｌ电磁力公式基础上，研究了这两个机电结构参数与轴承的基本性能的关系，得到了电磁力与位移之间线性与非线性关系的解析界限，并推导了在线性控制系统作用下，相对不同电磁轴承系统结构参数的最优线性范围和对应的最优刚度。

In avtive magnetic bearing (AMB) system, the most important mechatronical structure parameters are the air gap between rotator and stator and the bias flux density in stator, which affect the basic characteristic of stiffness and force capacity. The stiffness and the linear range of the force capacity decide the basic bearing performance. By analyzing the relationship between structure parameters and beating performance based on the Maxwell's equation, it has been found that there exists a theoretic boundary between the linearity and the nonlinearity of the electromagnet force relative to the variety of displacement, and there are also a optimal linearity range and optimal stiffness in each AMB system comtrolled by the linear system.