Wen Tong, Xiang Biao, Zhang Shilei
Research Institute for Frontier Science, Beihang University, Beijing, China.
Ningbo Institute of Technology, Beihang University, Ningbo, Zhejiang province, China.
Sci Prog. 2020 Jul-Sep;103(3):36850420951389. doi: 10.1177/0036850420951389.
For a hybrid magnetically suspended flywheel (MSFW) rotor suspended by permanent magnet biased active magnetic bearing (AMB) and passive magnetic bearing (PMB), the dynamic functions are nonlinear and coupling among different degrees of freedom (DOFs). In this article, the nonlinear dynamic functions in two controllable DOFs of the hybrid MSFW rotor are developed based on the equivalent magnetic circuit, and then the nonlinear dynamic function is linearized by using the state feedback exact linearization (SFEL) in order to minimize the coupling in two controllable DOFs. Furthermore, an optimal control based on the SFEL model is designed to reduce displacement runout and coupling among two controllable DOFs of the hybrid MSFW rotor at the rated speed. Finally, the simulation and experimental results validate the effectiveness of the optimal control based on SFEL model, and the stability of the hybrid MSFW rotor with an impulse-type disturbance is improved.
对于由永磁偏置主动磁轴承（AMB）和被动磁轴承（PMB）悬浮的混合磁悬浮飞轮（MSFW）转子，其动力学函数是非线性的，并且在不同自由度（DOF）之间存在耦合。在本文中，基于等效磁路建立了混合MSFW转子两个可控自由度的非线性动力学函数，然后利用状态反馈精确线性化（SFEL）对非线性动力学函数进行线性化，以最小化两个可控自由度之间的耦合。此外，设计了基于SFEL模型的最优控制，以减少混合MSFW转子在额定转速下两个可控自由度之间的位移跳动和耦合。最后，仿真和实验结果验证了基于SFEL模型的最优控制的有效性，并且提高了混合MSFW转子在脉冲型干扰下的稳定性。
