The goal of the present work is to formulate a method that permits, in presence of hysteresis cycle, the association of circuit elements with the graph, preserving energy equivalence. In this way for each branch of the circuit, these elements represent both storage and dissipation phenomena. The proposed method allows to represent, unambiguously and with energy equivalence, the initial system with hysteresis losses by a conductance-susceptance network which can be experimentally deduced by measuring RMS current, RMS voltage and iron losses. At the end an experimental validation is proposed.