Leakage Inductance Calculation of Complex Transformer Constructions based on a Simple Two-Coil Inductor Model

The paper presents a set of systematic matrices operation derived from Kirchhoffs node law with the base of a simple two-coil inductor model to deduce leakage inductances of windings seen from the schematic point of view. This method provides a platform in calculating leakage inductances of complex transformer structures. Its robustness covers different kinds of concentric winding structures where by getting accurate values of mutual inductances between all combinations of winding elements in a pair-wise sense, accurate leakage inductances can be deduced through the matrices operation without any computational simulations. In essence, such operation reduces lots of difficult magnetic problems within a transformer into determination of mutual and self inductances of winding elements through a simple two-coil inductor model. The approach has been implemented on PowerESIM, a Web base server type power converter design program, for reader to test