Derivation of a low-frequency model for a 3D wound core transformer

3D wound core is a newly proposed core structure, which is used for construction of distribution transformers. Although many advantages have been proposed for transformer with 3D wound core and it has found increasing application in some countries such as China and Iran, no model has been presented so far in the literature for such transformers. In this paper, a low frequency model, derived based on the duality principle for transformer with 3D wound core, which can be used for both steady state and low-frequency transient studies. The validity of the model in steady state condition is then verified by experimental results.