Abstract
The process of induction heating of cylindrical nonmagnetic billets is modeled and optimized. An unmovable billet is placed in rotating magnetic field generated by permanent magnets fixed in an external rotor driven by an asynchronous motor by means of a teeth gear. The coupled model of the problem consisting of two partial differential equations describing the distributions of magnetic and temperature fields in the system is solved by a fully adaptive higher-order finite element method. Computations are realized by own code Agros2D. The device is then optimized with respect to the total amount of heat generated in the billet; as the dimensions of the device are fixed, the only quantity that can be changed is the direction of magnetization of the individual permanent magnets. The optimization procedures represent a supplement to the code. Finally, the dynamic behavior of the optimized system is analyzed. The methodology is illustrated by a typical example whose results are discussed.
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