One of the main elements of heating systems is a heating device, whose construction is constantly being improved upon on thanks to the development of the science surrounding the materials’ physical and chemical properties of the working bodies, manufacturing and application technologies. This article is devoted to the development of a physical model of complex heat exchange between an electric infrared radiant heating panel based on an amorphous metallic radiating plate located in the middle of the panel and surrounding solids and air. The developed physical model is described by mathematical equations taking into account the boundary conditions of the third kind on the basis of complex heat exchange by radiation and convection both with surrounding solid bodies and passing airflow. The purpose of the solution is to determine the rational relation between the radiation and convective components of heat transfer, depending on the comfortable state of the person (observance of the technological process), and the operating modes of the heating system.