A General Arc-Segment Element for Three-Dimensional Thermal Modelling

Nick Simpson, Rafal Wrobel, Phil Mellor

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)


This paper demonstrates the benefits of a generalised arc-segment lumped parameter thermal equivalent circuit representation that can be used in the three-dimensional thermal modelling of transformers, wound passive components and electrical machines. The arc-segment is particularly suited to modelling stator/rotor teeth and end-windings. Commonly used two-resistor lumped parameter thermal networks do not accurately account for internal heat generation, which is essential for accurate temperature prediction. In contrast, the use of a T-network formulation can accurately cater for internal heat generation along with material anisotropy. The element formulation is verified numerically and experimentally using two and three-dimensional finite element analysis and through the thermal analysis of a power inductor.
Original languageEnglish
Title of host publication19th International Conference on the Computation of Electromagnetic Fields (Compumag 2013)
Number of pages2
Publication statusPublished - 4 Jul 2013


  • A General Arc-Segment Element

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