2D Winding losses calculation for round conductor coil

Tianming Luo*, Mohamad Ghaffarian Niasar, Peter Vaessen

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

7 Downloads (Pure)


Winding loss calculation is essential for inductor and transformer design. In this article, a revised 1-D Ferreira's formula is proposed, which considers the interaction between conductors. Then, a 2-D loss calculation approach is proposed based on the analytical solution of round conductors under a uniform external field. An equivalent external magnetic field is calculated to estimate the winding losses, considering the impact of eddy current. The proposed approach is compared with the 2-D FEM with three types of windings and shows good accuracy with less than 10% error. 3-D FEMs and samples are built based on two simulated windings to validate the loss calculation.

Original languageEnglish
Pages (from-to)5107 - 5117
Number of pages11
JournalIEEE Transactions on Power Electronics
Volume38 (2023)
Issue number4
Publication statusPublished - 2022

Bibliographical note

Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.


  • Analytical method
  • eddy current
  • losses
  • skin effect
  • transformer winding

Cite this