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

článek v časopise ve Web of Science, Jimp

angličtina

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

Spojené království Velké Británie a Severního Irska

2174

2184

11