主动磁悬浮轴承有限元模型转子位置反步法控制

Rotor position backstepping control of active magnetic bearing based on finite element model

为了使主动磁悬浮轴承转子系统得到更稳定的控制,采用了一种Maxwell与Simplorer的联合分析方法对主动磁悬浮电磁轴承转子系统建模并分析.首先,在Maxwell软件中建立有限元模型,然后对其用李雅普诺夫稳定判据结合反步法对此系统的稳定性进行分析,并证明此系统在反步法控制器下能够满足大范围渐进稳定条件.接着,通过Simplorer搭建仿真平台对Maxwell中的有限元模型进行转子控制.这种控制策略能够最大限度地反映主动磁悬浮轴承转子控制的实际工况.相比于线性化后的数学模型,对有限元模型控制能够有效提高转子位置的控制精度.此外,主动磁悬浮轴承正常运行时会受到外部干扰扰动,本文以随机扰动为例,将其施加在磁悬浮转子系统中,并对所提方法进行了正确性和有效性验证,并且与传统PD控制进行了动态性能和鲁棒性对比.结果表明所提方法使得控制系统具有较强的抗干扰能力,并且比PD控制收敛速度更快.

In order to achieve more stable control of the active magnetic bearing rotor system,a joint analysis method of between Maxwell and Simplorer is used to deal with the active magnetic bearing rotor system.Firstly,the finite element model is established in Maxwell software,and then the stability of the system is analyzed by using the Lyapunov stability criterion combined with the backstepping control method,and it is proved that the system can be asymptotically stable in a large range under the backstepping control.After that,Simplorer is used to built a control platform to control the finite element model in Maxwell for rotor control.The proposed control strategy could reflect the actual working conditions of the active magnetic bearing rotor control to the greatest extent,and the control accuracy of the finite element model is effectively improved compared with the linearized mathematical model.In addition,the active magnetic bearing will be subject to external disturbance during normal operation.Takes random disturbance as an example and applies it to the magnetic bearing rotor system.The correctness and effectiveness of the proposed method are verified,and the dynamic performance and robustness of the proposed method are compared with the traditional PD control.The results show that the proposed method makes the control system have strong anti-interference ability,and the convergence speed of that is faster than PD control.