A new approach to high‐power arc dynamics

Abstract

Up to the present the Mayr equation has been used for studies of the interaction of high‐power arcs with electrical networks. In the present study the Mayr equation is generalized with the aid of response and relaxation functions. It is demonstrated that this concept reaches far beyond the Mayr equation. Thus, the problem of small inductive currents in LCR circuits including an arc is solved comprehensively. In this context, the influence of a delayed arc response is revealed and new effects are predicted.

Aproksymacja charakterystyk statycznych i modelowanie łuku elektrycznego w procesie spawania metodą TIG

“…Wyszczególnione we wstępie aproksymacje są nieprecyzyjnie, gdyż nie uwzględniają tych wszystkich zjawisk. Do aproksymacji charakterystyk statycznych łuku elektrycznego nadają się wyrażenia zawierające funkcje wykładnicze, Gaussa, Lorentza, sech bądź ekspotencjalne [7]. Możliwa jest również ich kombinacja, mająca na celu uzyskanie najprecyzyjniejszego odwzorowania.…”

Model of the arc earth-fault for medium voltage networks

“…The basis for consideration is a general differential equation of arc conductance, developed from the energy balance [1]. Under the additional simplifying assumption proposed by the Mayr arc model, which states that arc temperature changes in time and in space, whereas the value of output power per volume is constant and equal to the value of output power per volume for the static arc, a well-known first-order differential equation is obtained [2][3][4][5]:…”

“…Marciniak [6] proposes a number of alternative relationships for the arc voltage-current dependence in the full range of current variations. These relationships were obtained from appropriate connections of dependencies for low short circuit currents [1] with high current dependency given by equation (2). For arc description in the range of low currents, dependencies given with exponent, Gauss, hyperbolical secant and modified Lorentz function were used.…”

“…For development of an arc model it is necessary, apart from calculation of static conductance G, to solve numerically the differential equation (1). Integrating this equation with trapezoidal method in the range of a single integration step T , gives the following relationship:…”

An integral method for determining the parameters of the universal electric arc model describing an arc with a hyperboliclinear static characteristic

“…Among the specialists in electrotechnological devices (including welders), taking them into account and research, power systems, electrical equipment, mathematical models of the electric arc using complex static characteristics (U-I dependencies) (Kopplin-Schmidt, Novikov-Shellhase, Kulakov) are very popular [1][2][3][4]. This may be explained by the easy way to obtain those nonlinear functions in a wide range of current excitations through experiments.…”