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Mathematical Differential and Integral Models in the Macromodelling of Electric Arc Using Voltage and Current Controlled Sources Part 1. Variants of Electric Arc Macromodels Obtained from Various Forms of Differential or Integral Equations

Antoni Sawicki

The article presents justification for creating mathematical models of electric arc in differential and integral forms as well as discusses simple variants of classic mathematical arc models with indefinite or unreduced ignition voltage and variants of modified mathematical arc models with specified or reduced ignition voltage. In addition, the article discusses hybrid mathematical models of electric arc in differential and integral forms. and presents the above-named variants in the non-rationalised form (with function dependencies determined by arc current) and in the rationalised form (with functional dependencies determined by column conductance). The effectiveness of various macromodels was verified by simulating processes in circuits with electric arc.

doi: 10.17729/ebis.2019.6/7

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