永磁型无轴承电机的完整系统建模

为实现永磁型无轴承电机的稳定悬浮运行，须对转矩和悬浮力进行实时控制。电磁转矩和磁悬浮力的精确计算是无轴承电机设计及其控制的基础。传统的永磁型无轴承电机数学模型将转矩与悬浮力作为两个独立的系统来考虑，忽略了它们之间的非线性电磁耦合关系，因此计算精度不理想。该文通过虚位移法推导、并建立了考虑转矩绕组与悬浮绕组之间非线性电磁耦合关系及转子运动的面贴式永磁型无轴承电机完整系统数学模型，并通过有限元分析提取了模型中的关键参数。基于此模型实现了转子磁场定向控制的悬浮运行仿真，通过与传统数学模型的仿真结果对比，验证了该模型的精确性与完整性。

The Complete Mathematic Model of a Permanent Magnet Type Bearingless Motor

To realize the suspension operation for a Permanent Magnet type Bearingless Motor(PMBLM) in the dynamic process, the torque and magnetic levitation force should be real-time controlled. Therefore, the accurate computation of the torque and magnetic levitation force is the basis for the design and control of PMBLM. However, in traditional mathematic model, they are separately calculated as two independent systems without the non-linear electromagnetic coupling considered. To cover this coupling effect, By the visual displacement approach in a related magnetic field this paper puts forward an completeintegrated mathematic model of surface mounted PMBLM with all coupling factors of the torque winding, suspension winding and rotor movement considered by the visual displacement approach in a related magnetic field,and the main parameters associated with this new model is determined by the Finite Element Analysis(FEA). Through the simulation based on this completeintegrated model, the stable suspension operation of PMBLM is well achieved with the strategy of the rotor field oriented control. Compared with the results simulated by the traditional mathematical model, the integrality and accuracy of the complete model has been thoroughly verified.