基于单相坐标变换的磁悬浮转子不平衡补偿

Unbalance compensation of magnetically suspended rotor based on single phase coordinate transformation

针对磁悬浮转子系统的不平衡振动控制问题,提出基于二阶广义积分(SOGI)和同步旋转坐标系(SRF)变换的不平衡补偿算法.利用SOGI实现单相位移误差的SRF变换,避免磁悬浮轴承两自由度位移幅值不均衡造成的干扰,对变换后的直流量进行比例积分(PI)控制,并将控制量逆SRF变换后叠加到原控制器的输出中,从而实现同频位移误差的无静差跟踪控制.分析引入补偿算法后闭环系统的稳定性,通过调整逆SRF变换的相位补角可以保证系统的稳定.仿真和实验表明,该算法能够在宽转速范围内有效抑制磁悬浮转子的同频振动,具有较好的收敛速度和补偿精度.

An unbalance compensation algorithm based on the second-order generalized integrator(SOGI)and the synchronous rotating frame(SRF)transformation was proposed,for the unbalance vibration control of magnetically suspended rotor(MSR)system.The SRF transformation of single-phase displacement error was realized by SOGI,which avoided the interference caused by the displacement amplitude difference between the two-degree-of-freedom of magnetic bearing.Proportional integral(PI)controller was performed on the converted DC quantity,and the control quantity was superimposed into the output of the original controller after inverse SRF transformation,thus,the co-frequency displacement error tracking control without static error was realized.Stability of closed-loop system after introducing the compensation algorithm was analyzed.The stability of the system can be guaranteed by adjusting the phase compensation angle of the inverse SRF transform.Simulation and experiment results show that the proposed algorithm can effectively suppress the co-frequency vibration of MSR over a wide frequency range and has good convergence speed and compensation accuracy.