-To study the effect of various types of magnetic field concentrators on the energy and thermal characteristics of the induction heating system of noncylindrical billets in the magnetic field of rotating permanent magnets, a numerical model was developed. The model allows solving the conjugate electromagnetic and thermal problem. Using the model, the authors were able to calculate the integral active power released in the heated billet, the mechanical moment that the magnetic system experiences from the current induced in the billet and the distribution of the temperature field in the "inductor-heated billet" system. In this paper, the authors consider the results of numerical studies of heating aluminum billets with a rectangular cross-section and the influence of several types of magnetic field concentrators on the electromagnetic and thermal processes in this system.