A new modelling method for magnetic circuits is presented in this thesis. This method can be used to model magnetic circuits with any number of windings. The models incorporate adequate information about the correct distribution of leakage energy, the presence of gaps throughout the core, the arrangement of the windings, and the type of core used.
These new electric circuit models (physical models) are "physically natural"; i.e., the elements in the models have a one-to-one relationship with corresponding physical quantities in the original magnetic structure.
Several commonly used arrangements such as toroids with uniformly distributed turns, and bobbin core structures with multiple windings were modelled with the new technique. The measured electric circuit model values always compared favorably with the predicted physical values derived with the new method.
By breaking the windings of the magnetic circuit into their separate layers, a more elaborate and accurate set of models (layer-to-layer models) can be obtained. These models incorporate additional information about the correct distribution of the windings and interwinding self-capacitances. Because of the complicated nature of these elaborate models, they are more suitable for computer analysis of magnetic circuits.
