Mathematical model of electromagnetic field with skin-effect in closed electrical contacts

Nouri, Hassan

Abstract

The mathematical model describing electromagnetic field in closed electrical contacts is elaborated. It takes into account a non-uniformity of the current density on the contact spot which can be explained by three factors: 1) physical phenomena of the constriction, 2) influence of the contact cross-section radius, 3) skin effect in the case of the alternative current. The effect of each above factors in dependence of given parameters is discussed. The model is based on the Maxwell equations which are reduced then to the solution of dual integral equations and series. It is shown that the skin-effect should be taken into consideration at the current frequencies which are greater than 103Hz and for the contact forces which are greater than 104N.

Citation

Nouri, H. (2017). Mathematical model of electromagnetic field with skin-effect in closed electrical contacts. International Journal of Pure and Applied Mathematics, 113(4), 625-637

• Journal Article Type: Article
• Acceptance Date: Mar 30, 2017
• Publication Date: Mar 30, 2017
• Deposit Date: Apr 3, 2017
• Publicly Available Date: Apr 3, 2017
• Journal: International Journal of Pure and Applied Mathematics
• Print ISSN: 1311-8080
• Peer Reviewed: Peer Reviewed
• Volume: 113
• Issue: 4
• Pages: 625-637
• Keywords: electrical contacts, Maxwell equations, skin-effect, dual integral equations and series
• Public URL: https://uwe-repository.worktribe.com/output/890619
• Publisher URL: http://www.ijpam.eu/jsi/2017-113-4/10/10.pdf