Scholarly record
FINITE-ELEMENT ANALYSIS OF INDUCTION HEATING DEVICES DURING PID-CONTROL STAGE
Abstract
The proportional-integral-differential (PID) law is often used to control the induction heating process. Mathematical modeling of induction heating in a three-dimensional formulation is associated with high costs of machine time to solve the electromagnetic field equations. The need to recalculate the heat dissipation field due to changing the power of the inductors at a small sampling period of PID controller leads to an excessive amount of calculations. Two methods of calculation of temperature fields of induction heating devices in the mode of automatic PID temperature control were suggested. They allow reducing the cost of machine time significantly while ensuring acceptable accuracy. The first method provides for a consistent electromagnetic and thermal analysis with the "scaling" of heat emissions from eddy currents at the control stage. At insufficiency of computing resources it is recommended to use the second technique which includes only thermal model at the assumption of uniform allocation of heat in the field of inductors and is applicable only at placement of inductors in the heated bodies.
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