Open AccessCore‐type transformer short‐circuit voltage calculation using conformal mapping
Author(s) -
Jurković Mario,
Žarko Damir
Publication year - 2020
Publication title -
iet electric power applications
Language(s) - English
Resource type - Journals
ISSN - 1751-8679
DOI - 10.1049/iet-epa.2020.0351
Subject(s) - conformal map , electromagnetic coil , delta wye transformer , transformer , voltage , magnetic core , electrical engineering , physics , magnetic circuit , linear variable differential transformer , distribution transformer , engineering , geometry , mathematics
This study describes a method for calculation of transformer short‐circuit voltage using conformal mappings, which map the transformer longitudinal and transverse cross‐section geometry to a unit disk where an analytical solution for magnetic flux density is obtained and then transformed back to the original domain. The short‐circuit voltage is calculated by the integration of the magnetic energy of the leakage field in the windings and the space around windings, excluding the core. This method takes into account windings of different height, the fringing effect at the ends of the windings and any relative position of windings located on the same or different limbs. Also, it is possible to calculate the short‐circuit voltage for multiple windings.