Causes of problems in strict classification of arcs into two categories: low and high current have been described. Assumption has been taken that processes in column can be approximated with one of two models: Mayr or Cassie. A new criterion of arc classification has been proposed, based on minimal deviation of harmonic relation of real voltage on arc column comparing to theoretically estimated data. Using MATLAB-Simulink program, errors in determining time constant value have been analyzed in Mayr model of arc described with different mathematical models with and without random noise.