Methodology for Calculating Magnetic Conductivities and Fluxes in a Brushless Direct Current Motor

A technique for determining magnetic conductivities and the main magnetic flux through the winding coil in a brushless direct current motor has been developed. It has been noted that the peculiarity of the proposed technique is that it takes into account the edge effect and scattering fluxes, as well as their dependence on the rotor position coordinate. Based on the analysis of a two-dimensional finite element model of the magnetic field of a brushless direct current motor magnetic system, an approach has been proposed for determining the distribution coefficients of the main magnetic flux of a tooth in the stator yoke. Expressions have been obtained for calculating the scattering coefficients and the edge effect in the magnetic system of a brushless direct current motor. It has been highlighted that the developed technique allows solving the problem of quantitatively determining the value of the main magnetic flux through the winding coil of a brushless direct current motor with high accuracy. It has been indicated that the proposed model makes it possible to determine the degree of influence of the geometric parameters of the magnetic circuit on the nature of the change in the main magnetic flux through the winding coil with the least amount of time. It has been established that the developed analytical model can be applied in the process of optimization of brushless direct current motors.