---
title: Modeling and simulation of termination resistances in superconducting cables
description: "HTS Modelling Workgroup | Model files\nModeling and simulation of termination resistances in superconducting cables"
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# Modeling and simulation of termination resistances in superconducting cables

 by [**administrator**](https://htsmodelling.com/model-files/author/administrator) on Mar 15, 2024, 1:13:58 PM

![Termination_resistances](https://htsmodelling.com/hs-fs/hubfs/model-files/14-modeling-and-simulation/Termination_resistances.png?width=916&height=713&name=Termination_resistances.png)

The models presented here are used to simulate termination resistances which are largely responsible for the uneven distribution of currents in superconducting cables \[1\]. For this purpose, four different models are presented. The first is a 0D stationary model, where time enters as a parameter driving the net current in the cable. Being the simplest and fastest, it can be used to obtain a qualitative estimate of the current distributions (described in \[2\]). The second model, also stationary, is a 2D approach that considers both the actual cross section of the cable, and the dependence of the critical current density with respect to the magnetic field (described in \[3\]). The third model, also in 2D, is a quasi-static approach where an additional term is added to the electric field to take into account the voltage drop due to termination resistances (described in \[2\]). The fourth model, also quasi-static, is a 3D approach. Using two non-connected domains, it simulates both the termination resistances and the superconducting cable to calculate the current share in the cable’s strands (described in \[2\]).

Several implementations for estimating the current share in a 4 tape TSTC cable using Mathematica (0D) and COMSOL (2D and 3D), along with the corresponding experimental data \[1\] are available for download below.

**This model was shared by V. Zermeno and Philip Krüger, Karlsruhe Institute of Technology, and by M. Takayasu, Massachusetts Institute of Technology.**

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References

1. [Takayasu et al. 2012 Supercond. Sci. Technol. **25** 014011](https://dx.doi.org/10.1088/0953-2048/25/1/014011)
2. [Zermeno et al. 2014 Supercond. Sci. Technol. **27** 124013](https://dx.doi.org/10.1088/0953-2048/27/12/124013)
3. [Zermeno et al. 2015 Supercond. Sci. Technol. **28** 085004](https://dx.doi.org/10.1088/0953-2048/28/8/085004)

Topics: [REBCO tapes](https://htsmodelling.com/model-files/tag/rebco-tapes) [Cables](https://htsmodelling.com/model-files/tag/cables) [Finite element method](https://htsmodelling.com/model-files/tag/finite-element-method) [COMSOL](https://htsmodelling.com/model-files/tag/comsol) [Other programs](https://htsmodelling.com/model-files/tag/other-programs) [Home-made codes](https://htsmodelling.com/model-files/tag/home-made-codes) [2-D](https://htsmodelling.com/model-files/tag/2-d) [Stacks](https://htsmodelling.com/model-files/tag/stacks) [3-D](https://htsmodelling.com/model-files/tag/3-d)

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