An approach is proposed to the study of the electric arc near current zero by means of mathematical models. The approach is based on Lyapunov's stability theory and allows a qualitative analysis of the nonlinear differential equations describing the phenomenon. The main results concern the determination of the set of conditions leading to arc extinction and their dependence on the physical parameters involved. The classical Mayr and Cassie models are studied using the method, and some numerical results are given. © 1982.
Genesio, R., Vicino, A., Tartaglia, M. (1982). Qualitative analysis of mathematical arc models using Lyapunov theory. INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS, 4(4), 245-252 [10.1016/0142-0615(82)90004-7].
Qualitative analysis of mathematical arc models using Lyapunov theory
VICINO A.;
1982-01-01
Abstract
An approach is proposed to the study of the electric arc near current zero by means of mathematical models. The approach is based on Lyapunov's stability theory and allows a qualitative analysis of the nonlinear differential equations describing the phenomenon. The main results concern the determination of the set of conditions leading to arc extinction and their dependence on the physical parameters involved. The classical Mayr and Cassie models are studied using the method, and some numerical results are given. © 1982.
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https://hdl.handle.net/11365/8916
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