A study of a high-frequency power source for induction heating was carried out. Using three-dimensional computer simulation in the ANSYS program, the design, electromagnetic and thermal processes of an electric machine high-frequency power source based on a high-speed electric synchronous generator with permanent magnets operating as part of a gas turbine unit were studied. A method has been developed for studying processes in high-frequency induction installations with an additional conducting medium (“cold crucible”, concentrator), that allows the analytical calculation of the main integral parameters of inductors in such installations (for example, calculation of the required supply voltage). The results of analytical calculations of the required voltage of inductor with a concentrator are presented.