Calculation of inductances of high frequency air-core transformers with superconductor windings for DC-DC converters

A simplified Neumann's formula to calculate the inductance of a transformer with spiral shape is proposed. The advantage of using the proposed method is to avoid the cumbersome and tedious integration in Neumann's formula; the solution usually includes elliptic functions that are complicated and long power series. The stray capacitance of the transformer is also calculated. The experimental measurement agrees well with the calculation.Department of Electrical Engineerin