Multipole-based cable braid electromagnetic penetration model: magnetic penetration case

Campione, Salvatore; Warne, Larry Kevin; Langston, William L.

doi:10.2528/PIERC20031108

Title: Multipole-based cable braid electromagnetic penetration model: magnetic penetration case

Abstract

The goal of this paper is to present, for the first time, calculations of the magnetic penetration case of a first principles multipole-based cable braid electromagnetic penetration model. As a first test case, a one-dimensional array of perfect electrically conducting wires, for which an analytical solution is known, is investigated: we compare both the self-inductance and the transfer inductance results from our first principles cable braid electromagnetic penetration model to those obtained using the analytical solution. These results are found in good agreement up to a radius to half spacing ratio of about 0.78, demonstrating a robustness needed for many commercial and non-commercial cables. We then analyze a second set of test cases of a square array of wires whose solution is the same as the one-dimensional array result and of a rhomboidal array whose solution can be estimated from Kley's model. As a final test case, we consider two layers of one-dimensional arrays of wires to investigate porpoising effects analytically. We find good agreement with analytical and Kley's results for these geometries, verifying our proposed multipole model. Note that only our multipole model accounts for the full dependence on the actual cable geometry which enables us to model moremore » complicated cable geometries.« less

Authors:

Campione, Salvatore ^[1]; Warne, Larry Kevin ^[1]; Langston, William L. ^[1]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Publication Date:: Wed Jan 01 00:00:00 EST 2020

Research Org.:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Org.:: USDOE National Nuclear Security Administration (NNSA)

OSTI Identifier:: 1634792

Report Number(s):: SAND-2020-4484J
Journal ID: ISSN 1937-8718; 685747; TRN: US2201307

Grant/Contract Number:: AC04-94AL85000; NA0003525

Resource Type:: Accepted Manuscript

Journal Name:: Progress in Electromagnetics Research C

Additional Journal Information:: Journal Volume: 102; Journal ID: ISSN 1937-8718

Publisher:: EMW Publishing

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; magnetic penetration; first principles electromagnetic penetration model; cable braid

Citation Formats


                    Campione, Salvatore, Warne, Larry Kevin, and Langston, William L. Multipole-based cable braid electromagnetic penetration model: magnetic penetration case.  United States: N. p., 2020. 
Web.  doi:10.2528/PIERC20031108.

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                    Campione, Salvatore, Warne, Larry Kevin, & Langston, William L. Multipole-based cable braid electromagnetic penetration model: magnetic penetration case.  United States.  https://doi.org/10.2528/PIERC20031108

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                    Campione, Salvatore, Warne, Larry Kevin, and Langston, William L. Wed .  
"Multipole-based cable braid electromagnetic penetration model: magnetic penetration case".  United States.  https://doi.org/10.2528/PIERC20031108.  https://www.osti.gov/servlets/purl/1634792.

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@article{osti_1634792,

  title        = {Multipole-based cable braid electromagnetic penetration model: magnetic penetration case},

  author       = {Campione, Salvatore and Warne, Larry Kevin and Langston, William L.},

  abstractNote = {The goal of this paper is to present, for the first time, calculations of the magnetic penetration case of a first principles multipole-based cable braid electromagnetic penetration model. As a first test case, a one-dimensional array of perfect electrically conducting wires, for which an analytical solution is known, is investigated: we compare both the self-inductance and the transfer inductance results from our first principles cable braid electromagnetic penetration model to those obtained using the analytical solution. These results are found in good agreement up to a radius to half spacing ratio of about 0.78, demonstrating a robustness needed for many commercial and non-commercial cables. We then analyze a second set of test cases of a square array of wires whose solution is the same as the one-dimensional array result and of a rhomboidal array whose solution can be estimated from Kley's model. As a final test case, we consider two layers of one-dimensional arrays of wires to investigate porpoising effects analytically. We find good agreement with analytical and Kley's results for these geometries, verifying our proposed multipole model. Note that only our multipole model accounts for the full dependence on the actual cable geometry which enables us to model more complicated cable geometries.},

  doi          = {10.2528/PIERC20031108},

  journal      = {Progress in Electromagnetics Research C},

  number       = ,

  volume       = 102,

  place        = {United States},

  year         = {Wed Jan 01 00:00:00 EST 2020},

  month        = {Wed Jan 01 00:00:00 EST 2020}

}

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Figures / Tables:

Fig. 1: Per-unit-length cells for the (a) shield and (b) inner conductor transmission lines of a single-shield cable.

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