Asymptotic methods for calculating electric arc model parameters

Abstract

A new method for calculating the parameters of electric arc models for power circuit breaker is developed. The methodology consists in the optimization of the theoretical arc voltage curve, as a function of a set of parameters, with respect to experimental data. Since the solution of the equation for the electric arc model cannot be obtained in general form, then, the theoretical arc voltage is an asymptotic solution obtained for one or several time-ranges. A case of the irregular behavior of the electric arc is analyzed. The developed methods are applied to obtain an improved arc model for a SF 6 power circuit breaker previously published in the literature. The new model has a compact form and exhibits a good correlation between the measured and calculated voltage curves.

Distributed Parameters Model for High-impedance Fault Detection and Localization in Transmission Lines

“…In the high-and low-current regions, Eq. (10) results in the Mayr and Cassie models, respectively [18]. In [21], Kizilcay and Pniok proposed a model that can be obtained from the Eq.…”

“…For example, all numerical relays can directly calculate g.t k / in Eq. (18). In this sense, it is only necessary to develop a routine to calculate G 0 and by solving Eq.…”

“…These dynamic equations have been improved and modified in order to increase the model's validity and reduce the computational burden. Most of these equations are of the form [18][19][20] …”

“…This system of equations can be solved numerically by any existing method, for example, the gradient descent technique [18]. The results of solving the system in Eq.…”

Spectral and integral methods of determining parameters in selected electric arc models with a forced sinusoid current circuit

“…The analytic, graphical and numerical methods known so far [12,13] do not offer the possibility of determining the arc parameters on-line, since they do not deploy standard measurement equipment or applications emulating such equipment. In this study it is assumed that when an electric arc is supplied from a sinusoid current source, the deformed voltage wave-form carries enough information to determine all the parameters required in the selected simple mathematical models of the electric arc.…”