Design of equivalent circuits and characterization strategy for n-input coupled inductors

In this paper the ideal coupler is introduced, negative inductance concepts are justified and, several equivalences between circuits are established. Hence, energy based iterative method of design for the equivalent circuit of an n-input magnetic system is presented. The leakage transformer concept is presented. Simplifications are examined based on identical windings and dominant coupling. This is illustrated by the design of an equivalent circuit for a three-column-six-winding transformer. It is known that open and short circuit measurements lead to more accurate values of leakages. Extension of this approach to more than two windings is included. It should be noted that inductance matrix elements satisfy many inequalities that have practical consequences.