| Publication type: |
 |
Article in peer-reviewed journal |
|
| Subject: |
|
Mathematics/Analysis of PDEs
|
|
| Title: |
|
Self-inductance coefficient for toroidal thin conductors |
|
| Author(s): |
|
Youcef Amirat ( ) 1, Rachid Touzani () 1 |
|
| Laboratory: |
|
|
|
| Abstract: |
|
We consider the inductance coefficient for a thin toroidal inductor whose thickness depends on a small parameter $\eps>0$. An explicit form of the singular part of the corresponding potential $u\ue$ is given. This allows to construct the limit potential $u$ (as $\eps\to 0$) and an approximation of the inductance coefficient $L\ue$. We establish some estimates of the deviation $u\ue-u$ and of the error of approximation of the inductance. The main result shows that $L\ue$ behaves asymptotically as $\ln\eps$, when $\eps\to 0$. |
|
| Fulltext language: |
|
English |
|
| Production date: |
|
2001 |
|
|
| Journal: |
|
Nonlinear Analysis Theory Methods and Applications |
|
| Publication date: |
|
2001 |
|
| Volume: |
|
47 |
|
| Page, identifiant, ...: |
|
3295-3305 |
|
|
| Keyword(s): |
|
Asymptotic behaviour – self inductance – eddy currents – thin domain |
|
|
Export this paper
