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Numerical analysis and optimal control of induction heating hardening

2010; American Institute of Physics; Linguagem: Inglês

10.1063/1.3515577

1935-0465

Bogdan Gilev, Andrey Yonchev, Dimitar Penev, George Venkov, Vesela Pasheva, Ralitza Kovacheva,

Diverse Industrial Engineering Technologies

This work is presented a mathematical model of the electromagnetic and heating processes in cylindrical body placed in the inductor and is developed controller, which provide mode of metal hardening. Here, is a simplified version of the problem we shall try to prescribe a given isothermal line to be distinguished at a given final time. The mathematical model includes solving the electromagnetic and heating problems. With the finite elements method the mathematical model is lead to the linear system ODEs. This allows to be used the predictive control system theory and develop a controller which provides a mode of metal hardening.