Abstract
The paper presents the Schellhase and Pentegov models utilizing static voltage-current characteristics for representing processes occurring in the electric arc. In the approximations of these characteristics variation in geometrical parameters, i.e. arc length and cross-section is taken into account. A modification of the Voronin-type models is also proposed, introducing a static voltage-current characteristic. In this way, it is possible to take into account distortions of the arc geometrical parameters of the static and dynamic character.
Highlights
The electrical, thermal and gas-dynamic processes occurring in electric arcs are extremely complex several mathematical models have been proposed to account for them
6 Conclusions: 1. The Schellhase model of the electric arc offers a possibility of taking into account the static form of distortions in the arc column geometrical parameters
Due to its simplifying assumptions, the classic Voronin model of the electric arc [2, 3, 5] has a limited potential for representing the characteristics on an arc with distorted geometrical parameters
Summary
The electrical, thermal and gas-dynamic processes occurring in electric arcs are extremely complex several mathematical models have been proposed to account for them. Since heat dissipation processes respond to external distortions with some time delay, it can be approximately assumed that dissipated power is mostly determined by static characteristics [2] Pdis(t) Pstat(i(t)) i.e. Experimental studies demonstrate that the real damping factor is not a constant value, but it is a function of current M = (g(i)). A generalized arc model that satisfies the power balance equation is the one proposed by Pentegov and subsequently developed jointly with Sidorec [6, 7] On this approach, instead of a real arc a hypothetical arc is considered, in which resistance is determined on the basis of virtual current i (t), delayed with respect to current i, and alternating with a given time constant. It can be represented with a modified Nottingham formula [9]
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