Back-electromotive force analysis of permanent magnet micromotor using applicational 3D analytical model
Permanent magnet (PM) axial flux machines are well adopted in microelectromechanical systems application, which needs a short axial length. PM micromotors have special characteristics such as transition zone which made their analysis different from macro ones. Due to the three-dimensional (3D) nature of PM micromotors, analysis and design of these micromotors require a fast and adopted 3D analytical model. This study presents a new 3D analytical model for a PM micromotor. In the presented analytical model, the micromotor is divided into several radial slices to take into account a part of 3D effects. In each slice, magneto-quasi-static Maxwell's equations are solved and back-electromotive force voltage is calculated as the most important parameter of micromotors. The accuracy of the model is verified by experimental and a 3D finite-element method model. The universality of the presented analytical model is challenged by using micromotors with different PM shapes including circular and trapezoidal. The presented analytical model is much faster than the 3D finite element model, but has the same accuracy, which makes it suitable for sensitive analysis and optimisation procedures.