One of the promising and safe methods of heating a heat-exchange device is the induction mode of energy transfer [1], which is based on the event under an alternating electromagnetic field vortex currents in the electroconductive medium (which is based on eddy currents in the electroconductive material.). At the same time, due to the flow of eddy currents, the heating of the metal elements of the heater (heat exchanger) is carried out in accordance with the law of Joule, followed by the transfer of heat (convection and radiation) to the coolant.

Note that induction heating has several advantages:

• High density of electromagnetic energy flow;

• Ability to achieve the required temperatures in the heated body (in a fairly wide range);

• The heating process is environmentally friendly;

• Ability to control the temperature distribution by constructive solutions, changing the operating modes of the induction equipment (frequency, supply voltage);

• Relatively high-energy performance (efficiency, cosφ).

To analyze the energy performance of induction heaters of various purpose should be carried out mathematical modeling of electromagnetic fields. In analyzing the electromagnetic field in a ferromagnetic medium with a nonlinear magnetic permeability, the most widely used today are analytical and numerical methods of calculation, and also physical modeling.

To develop the mathematical model and to determine the energy parameters of induction systems for the heat-carrier heating in the multi-pipe heat exchanger with different execution of pipe boards.

Let's analyze the distribution of power losses in different loading elements of cylindrical inductor with different execution of pipe boards. In fig. 1 shows a calculation model of the cylindrical inductor with different types of pipe boards. As the load will be used three water pipes 1/2 (d15xD21,3 mm) length 300 mm ( Sm/m,  ). The pipes are placed at the distance of 15 mm from the axis of the inductor and displaced from each other at the angle of 1200. Pipe boards with a diameter of 60 mm and a thickness of 5 mm have the same electrophysical parameters as pipes. The inductor is presented in the form of a cylinder with the dimensions, which are presented in Fig. 1a, is made of 48 turns of copper wire ( Sm/m). A winding current is supplied with amplitude 530 A and a frequency of 50 Hz. Since the induction heater is symmetric in length, for simulation we will use only its half (Fig. 1d), and at the cutoff boundary we will use the condition of symmetry.