八电极静电陀螺支承系统的建模

八电极静电支承系统沿着四个非正交轴对转子施加静电力,这些作用力相互影响,因此需要对支承坐标进行垂直解耦。针对采用八电极方案的静电陀螺,给出了电极电容的计算公式和位移解算方法,推导了静电力计算公式,最后建立了八电极静电陀螺支承系统的模型并利用Simulink对系统进行仿真。仿真结果表明,在系统中加入解算矩阵和"3-4"变换矩阵后,可以使X、Y、Z三个轴向上对转子位移的控制相互独立,为转子的可靠支承奠定了基础。

Modeling of electrostatic suspension system of ESG with eight electrodes

The suspension control system of ESG with eight electrodes applies static electric forces to the rotors in four non-orthogonal directions. These forces affect each other, so it is necessary to decouple the suspension coordinates. Using the ESG with eight electrodes, the paper gave the formulas of electrode capacitances, introduced the detection and solution of rotor motion, and then deduced the formulas of electric field forces. Finally, the modeling of suspension control system of ESG with eight electrodes and the simulations using Simulink were made. The simulations show that the controls of rotor motion in the directions of X, Y, Z axis are decoupled after adding the solution matrix and the "3-4" transformation matrix to the system. It is beneficial to the rotor suspension.