Quadrosection method of equivalent magnetic circuit computation
A numerical solution procedure of electromagnetic systems by the equivalent circuits, drawn up by the lumped parameter method, is presented. This procedure is based on the convolution of non-linear equation system, describing the equivalent circuit by two non-linear equations and geometrical interpretation of these latter equations in the form of the crossed surfaces in three-dimensional space. Using this geometrical interpretation and assuming that the system of equations, describing a real magnetic system, has the only root on the set of the fluxes-arguments, the method of root search called the quadrosection method was worked out. The method consists of the division of the studied area of fluxes-arguments into four quadrants, followed by the search and location of root In one of them and a repeated use of this method in the chosen quadrant to obtain a predetermined accuracy, determined by the interval value of the fluxes-arguments.
numerical solutions electromagnetics non-linear numerical methods