Algebraic dual-energy magnetic analysis with application to variable reluctance motor design

The dual-energy method has been successfully employed in the calculation of static resistances, capacitances and inductances, yielding fast and accurate solutions. Two different directions can be followed in applying the method, one is the more widely known "method of tubes and slices", the other is the algebraic approach and is explored further in this paper. The literature on the algebraic dual-energy method involves trivial examples with boundaries, boundary conditions and source distributions that are easily handled. However, the geometry of the variable reluctance motor at the unaligned position, the dominating curvatures characterizing its electromagnetic field distribution and the presence of a large number of boundary conditions arising at the steel boundaries, provide a challenging exercise in the application, behavior and effectiveness of the dual-energy method in a realistic framework.