Electromagnetic power of magnetic system stirrer liquid metal in the mold of continuous casting machine
Based on the solutions of Maxwell''s equations and constitutive equations were derived functional relationships and formulas to determine the distribution of the magnetic vector potential in all the structural elements of the mold continuous casting machine excited by a rotating magnetic system with a permanent magnet electromagnetic stirrer liquid metal. Solutions are obtained under the assumption of infinite height stirrer. The permanent magnets on the external magnetic field distribution equivalent to the solenoids, which rely on the side surfaces of the magnets and equal to their height. The surface current density in the solenoid is equal to the magnitude of the magnetization of the magnet. The solution obtained by using a discrete Fourier transform. Found on the outer surface of the body of the mold of the electric and magnetic fields using electromagnetic energy flux density Pointing defined power loss in the mold and thus drive power for the rotation of the magnetic system with a permanent magnet, which is the purpose of the work. The calculations for any distribution of the speed of rotation of the liquid metal showed that the main power losses are allocated to the case and the sleeve of the mold. On the stirring of the liquid metal and the Joule losses it requires three orders of magnitude less power. Therefore, the total loss in the mold are practically independent of the rotational speed of the molten metal, and an electromagnetic drive power may be determined on the assumption that the rotation speed of the molten metal is equal to zero. References 4, figure.