Electromagnetic Boundary Conditions and Analytical Computation of Fields in Semi-closed Slots

In this study, analytical solutions of semi-closed slot geometry with electromagnetic boundary conditions and fields have been reported. In addition, stranded winding configuration in slot is solved analytically. Green theorem provides a precise and rapid solution for this kind of electromagnetic problem. In permanent magnet machines, there is no circulating current at first, but permanent magnets provide magnetic flux. That is why magnetic field intensity is used for analytical calculation. Analytical calculation does not have magnetic saturation solution. Therefore, finite element analysis of this proposed model is realized. Thus, finite element analysis solutions include magnetic saturation effect. Numerical validations of proposed model are realized by using real motor slots size. Results are compared with each other, and they show close matching. Purposed model also provides designer to create from very small scale to largest motor designs. Studied problem in this paper was solved before under Dirichlet and Neumann boundary conditions; however in this paper, green, divergence and Stokes theorems are used to solve the problem. This is new for this kind of machine.