Volume 52, Issue 4
Optimization of Current Carrying Muticables using Topological and Shape Sensitivity

Zakaria Belhachmi, Belhassen Meftahi & Houcine Meftahi

J. Math. Study, 52 (2019), pp. 425-447.

Published online: 2019-12

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  • Abstract

In this paper, we use the topological and shape gradient framework, to optimize a current carrying multicables. The geometry of the multicables is modeled as a coated inclusions with different conductivities and the problem we are interested is the location of the inclusions to get a suitable thermal environnent. We solve numerically the optimization problem using topological and shape gradient strategy. Finally, we present some numerical experiments.

  • Keywords

Electrical multicables, heat conduction, shape optimization, topology optimization.

  • AMS Subject Headings

49Q10, 49Q12, 65K10, 68W25

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

zakaria.belhachmi@uha.fr (Zakaria Belhachmi)

belhassen.meftahi@enit.utm.tn (Belhassen Meftahi)

houcine.meftahi@enit.utm.tn (Houcine Meftahi)

  • BibTex
  • RIS
  • TXT
@Article{JMS-52-425, author = {Belhachmi , Zakaria and Meftahi , Belhassen and Meftahi , Houcine }, title = {Optimization of Current Carrying Muticables using Topological and Shape Sensitivity}, journal = {Journal of Mathematical Study}, year = {2019}, volume = {52}, number = {4}, pages = {425--447}, abstract = {

In this paper, we use the topological and shape gradient framework, to optimize a current carrying multicables. The geometry of the multicables is modeled as a coated inclusions with different conductivities and the problem we are interested is the location of the inclusions to get a suitable thermal environnent. We solve numerically the optimization problem using topological and shape gradient strategy. Finally, we present some numerical experiments.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v52n4.19.04}, url = {http://global-sci.org/intro/article_detail/jms/13465.html} }
TY - JOUR T1 - Optimization of Current Carrying Muticables using Topological and Shape Sensitivity AU - Belhachmi , Zakaria AU - Meftahi , Belhassen AU - Meftahi , Houcine JO - Journal of Mathematical Study VL - 4 SP - 425 EP - 447 PY - 2019 DA - 2019/12 SN - 52 DO - http://dor.org/10.4208/jms.v52n4.19.04 UR - https://global-sci.org/intro/article_detail/jms/13465.html KW - Electrical multicables, heat conduction, shape optimization, topology optimization. AB -

In this paper, we use the topological and shape gradient framework, to optimize a current carrying multicables. The geometry of the multicables is modeled as a coated inclusions with different conductivities and the problem we are interested is the location of the inclusions to get a suitable thermal environnent. We solve numerically the optimization problem using topological and shape gradient strategy. Finally, we present some numerical experiments.

Zakaria Belhachmi, Belhassen Meftahi & Houcine Meftahi. (2019). Optimization of Current Carrying Muticables using Topological and Shape Sensitivity. Journal of Mathematical Study. 52 (4). 425-447. doi:10.4208/jms.v52n4.19.04
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