Аннотация:The paper is devoted to the development of a physically based model of thermoelectric heating of two vertical cylindrical bodies using a single Peltier element located between them. The Peltier element, located between the cylinders, provides heat flows, the value of which is determined by the electrical voltage applied to the system. The corresponding experimental rig was built at the Department of mechatronics of the University of Rostock, Germany. The experimental data obtained with its help were used in this study to verify the parameters and verify the accuracy of the model. In this paper, thermoelectrically controlled heat transfer processes in an experimental setup are described by spatial heat transfer equations. A finite element model of the rig is constructed. To improve the accuracy of the simulation results, a special identification procedure is proposed that allows estimating unknown parameters: the Seebeck coefficient and the ohmic resistance of the Peltier element. It is shown that the current and voltage measurements on the electric circuit allow to determine the missing parameters of the Peltier element. Identification of these parameters is carried out on the basis of comparison of experimental data from the experimental setup and simulation results. The obtained simulation results are in good agreement with the experimental data.