This article considers and develops a method for identifying the parameters of mathematical models of electromechanical consumers of regionally isolated electrotechnical complexes. The validity of the proposed method application to identify parameters to determine influence of consumer characteristics on the quality of electrical energy at the point of common coupling is shown. The description of the mathematical model of the electrical energy distribution point consisting of several consumes is shown. The mathematical model is developed in the Cauchy normal form. A modification of the Marquardt method is proposed as an identification tool.