Otimização de um micromotor usando o método elipsoidal com a análise de sensibilidade via método adjunto

Abstract

This dissertation addresses the optimization of an electrostatic micromotor using the Ellipsoidal Multiple Cutting Plane Method and Sensitivity Analysis via the Adjoint Method. A numerical model of the electrostatic micromotor using finite elements is developed. The distribution of the scalar electric potential, the electric field, and the torque of the micromotor are calculated and analyzed. The study aims to enhance the design parameters of the micromotor by varying the width and height of the stator and rotor teeth, employing an optimization methodology and sensitivity analysis, evaluating the effectiveness of the adjoint method compared to traditional derivation methods, such as the central finite differences method (CFD). The adjoint sensitivity analysis is validated through the central finite differences method, and the advantages in terms of precision and computational efficiency are analyzed. The application of the adjoint method in conjunction with the ellipsoidal multiple cutting plane method proves to be a promising approach for the optimization of the electrostatic micromotor. The results obtained provide a valuable basis for the development of more efficient and precise systems.