关键词: 单极静电电动机, 保角变换法, 格林函数法, 边缘效应, 数值模拟, 角位移, 力矩

Abstract: In order to study the torque output characteristics of a unipolar electrostatic motor, theoretical analysis was combined with computer numerical simulation. The conformal mapping method, Green ' s function method, and software MATLAB were used to discuss the distribution of static electric field between the stator and rotor. The relationship between the capacitance formed by the stator and rotor and the angular displacement was given, and the maximum and minimum values of capacitance during the rotor ' s rotation from the equilibrium position to 90 degrees were determined, Obtain the torque of a unipolar electrostatic motor and provide a way to optimize its torque output characteristics. Due to the
consideration of the lateral edge effect between the stator and rotor when discussing the capacitance between the stator and rotor of a unipolar electrostatic motor, the results have high accuracy.

Key words: unipolar electrostatic motor, conformal mapping method, Green's function method, edge effect, numerical simulation, angular displacement, moment