2001
DOI: 10.1088/0022-3727/34/14/313
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On the formal correctness of the reaction kinetics model and its solution in HV circuit breakers after current zero

Abstract: Five necessary conditions for the so-called formal correctness of solutions of kinetic equations are formulated, which form a mathematical model of the reaction kinetics in HV circuit breakers after current zero for a given time-dependence of temperature and a given time-dependence of pressure or volume. The conditions are based on the mass action law, knowledge obtained from mathematical analysis of a system of ordinary differential equations, the principles of numerical analysis and the equilibrium-state pri… Show more

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Cited by 15 publications
(13 citation statements)
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“…A more interesting problem occurs if we consider a transient zero-dimensional model, useful for studying the interruption capability of gases used in circuit-breakers, and specially studied for SF 6 [133,[141][142][143]. It consists in calculating the evolution of a decaying plasma composition at constant pressure, knowing the temperature variation.…”
Section: Chemical Kinetics Model Alonementioning
confidence: 99%
“…A more interesting problem occurs if we consider a transient zero-dimensional model, useful for studying the interruption capability of gases used in circuit-breakers, and specially studied for SF 6 [133,[141][142][143]. It consists in calculating the evolution of a decaying plasma composition at constant pressure, knowing the temperature variation.…”
Section: Chemical Kinetics Model Alonementioning
confidence: 99%
“…Strictly speaking, the above methods can only be used on the assumption of local thermodynamic equilibrium. But if we consider the problems associated with modelling the kinetics of chemical reactions [31,32], these methods are for the time indispensable in the modelling of phenomena in lowtemperature plasma.…”
Section: Discussionmentioning
confidence: 99%
“…This work is a direct follow-up to [1]. Before reading this paper, it is advisable to become acquainted with [1].…”
Section: Introductionmentioning
confidence: 92%
“…In [1], Coufal and Sezemský formulated five conditions that the model of chemical reaction kinetics and its solution for a gaseous closed system S must fulfil for the solution to be considered formally correct. This work is a direct follow-up to [1]. Before reading this paper, it is advisable to become acquainted with [1].…”
Section: Introductionmentioning
confidence: 99%