Complete Analytical Calculation of Static Leakage Parameters. Application to HF Transformer Optimization

The pre-determination of transformer leakage inductances is essential for component designers. Except for special winding disposal, usual analytical methods of evaluation are useless and fern simulation evaluation, even more widely applicable, requires a time unsuitable with any optimization process. Work presented here is based on an analytical method we published recently about leakage inductances calculation. In the present paper, an explicit expression of leakage inductances is given. This expression does not appear as series so it is requires short computer time and it opens a lot of future applications relying on optimization software. Moreover, the calculation is not restricted to leakage inductances: it has been extended to all the parameters characterizing the whole leakage behavior part of any transformer.