The mathematical models of welding dynamics in closed and switching electrical contacts

Kharin, S.N.; Nouri, Hassan; Davies, T.S.

doi:10.1109/holm.2003.1246486

Cited by 28 publications

(7 citation statements)

References 9 publications

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“…In this study, we consider spherical model which agrees with Holm's so called ideal sphere usually applied for electric contacts with small contact surface (radius of b < 10 −4 m) and low electric current [9]. As it was shown in previous studies this model nicely fits physical conditions and agrees with experimental data [8] where we considered AgCdO and Ni contacts [7].…”

Section: Introductionsupporting

confidence: 63%

Solution of an Inverse Two Phase Spherical Stefan Test Problem

Sarsengeldin

Nauryz

Bizhigitova

et al. 2017

Springer Proceedings in Mathematics &Amp; Statistics

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In this paper, we represent the exact solution of a two phase inverse spherical Stefan problem, where along with unknown temperature functions heat flux function has to be determined. Suggested solution is obtained from new form of integral error function and its properties which are represented in the form of series whose coefficients have to be determined. The model problem can be used for mathematical modeling and investigation of arc phenomena in electrical contacts.MSC: 80A22; 33B20

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Section: Introductionsupporting

confidence: 63%

Solution of an Inverse Two Phase Spherical Stefan Test Problem

Sarsengeldin

Nauryz

Bizhigitova

et al. 2017

Springer Proceedings in Mathematics &Amp; Statistics

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“…Such processes like arcing and bridging are so fleeting (nana second range) that their experimental study is very difficult or sometimes impossible and the need of modeling is due not only to the need to optimize the planning experiment, but also due to the impossibility to use a different approach. So called Stefan type problems which take in account phase transformations, agree with experimental data [2] and can serve as a model for afore mentioned processes [3][4][5]. From theoretical point of view, these problems are among the most challenging problems in the theory of non-linear parabolic equations, which along with the desired solution an unknown moving boundary has to be found.…”

Section: Introductionmentioning

confidence: 94%

Analytical solution of two-phase spherical Stefan problem by heat polynomials and integral error functions

Kharin¹,

Sarsengeldin²,

Nouri³

2016

AIP Conference Proceedings

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On the base of the Holm model, we represent two phase spherical Stefan problem and its analytical solution, which can serve as a mathematical model for diverse thermo-physical phenomena in electrical contacts. Suggested solution is obtained from integral error function and its properties which are represented in the form of series whose coefficients have to be determined. Convergence of solution series is proved.

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“…This leads to the formation of a molten metal bridge, which causes the contact to melt [26]. In [27], a mathematical model was presented for the calculation of the welding dynamics during contact closure and breaking, which describes the dynamics of the contact temperature at the pre-melting stage and the evolution of the welding zones. In summary, the direct cascading of the switchgear to increase the voltage level will limits the current level due to the rated temperature.…”

Section: Introductionmentioning

confidence: 99%

Analysis and Experimental Research on a Novel Multi-Contact MVDC Natural Current Commutation Breaking Topology

Jia

Xia

et al. 2020

IEEE Access

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The high performance of medium-voltage direct current (MVDC) power supply system is a prerequisite for several industrial applications. To meet the higher voltage direct current (DC) breaking requirements in the fields of aviation, aerospace, and new energy, this paper proposes a novel MVDC commutation breaking topology that combines a load-carrying branch and an arcing branch in parallel. In contrast to the conventional structure based on semiconductor devices, each branch in the proposed topology contains a mechanical contact, which provides a lower on-state loss and higher voltage-breaking capacity. Moreover, the theoretical analysis and experimental results verified the asynchronous operation of the current-loading and confirmed that the arcing branch can realize the natural commutation of the current for the breaking of overload current or short-circuit current. A detailed equivalent model that combines the micro-electrical contact theory and phase-change characteristics of the electrode material was then established to investigate the molten metal bridge and pseudo arc phenomenon of the contact area during the commutation process. The results indicated that although the presence of a molten metal bridge and pseudo arc increase the current commutation time and erosion of the electrode material, the commutation process can be conducted. Finally, based on the softening voltage of the electrode material under the rated conditions, in addition to the phase change during dynamic commutation, the roughness σ and elastic modulus E can be adjusted appropriately to achieve arc-less current commutation.

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The mathematical models of welding dynamics in closed and switching electrical contacts

Cited by 28 publications

References 9 publications

Solution of an Inverse Two Phase Spherical Stefan Test Problem

Solution of an Inverse Two Phase Spherical Stefan Test Problem

Analytical solution of two-phase spherical Stefan problem by heat polynomials and integral error functions

Analysis and Experimental Research on a Novel Multi-Contact MVDC Natural Current Commutation Breaking Topology

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