Wykorzystanie identyfikowanych modeli łuku elektrycznego do CAD urządzeń elektrycznych

Abstract

Properties of the universal Pentegov arc model of electric arc plasma column and its particular cases in form of simple electric arc models (i.a. Cassie, Mayr, Zarudi) have been presented. Identification of electric arc model was made by the criterion of minimum variations of voltage arc time series, calculated with the least squares method. Authors pointed out the usefulness of presented method for computer aided design of electrotechnological devices. (Use of the identified electric arc models for computer aided design of electric devices).

Mathematical Differential and Integral Models in the Macromodelling of Electric Arc Using Voltage and Current Controlled Sources Part 2. Selected Mathematical Arc Macromodels with Explicitly Defined Current and Voltage Characteristics

“…If the static current-voltage characteristic U(I) is used, the power of arc dissipation is described by the following dependence (3), where G(I) -static characteristic of column conductance. By substituting formulas (2) and (3) to (1) it is possible to obtain the Mayr modified equations in the conductance form (4),…”

“…and p designates the vector of the parameters of the characteristic. Based on the foregoing it is possible to express model (1) in the Novikov-Schellhase conductance form [8,9] (6).…”

“…However, also in this case, as in any simplified model describing the extensive set of complex physical phenomena, it is necessary to apply many simplifying assumptions. The gradual abandonment of assumed simplifications may result from the Pareto principle, whereas the identification of parameters of models may result from optimisation procedures [1].…”