On the formal correctness of the reaction kinetics model and its solution in HV circuit breakers after current zero

journal article in Web of Science

English

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 principle of thermodynamics. Concrete solutions of kinetic equations are given and analysed for the products of SF6 dissociation a ionization. Two model are considered. In one model, the temperature drops from 10000 to 2500 K, in the other it drops from 12000 K to room temperature. A comparison of the time-dependent composition with the equilibrium composition is offered for the both models.

arcs, computational modeling, ordinary differential equation

COUFAL, O., SEZEMSKÝ, P.

2001

17. 6. 2001

0022-3727

Journal of Physics D: Applied Physics

34 (2001)

14

United Kingdom of Great Britain and Northern Ireland

2174

2184

11