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In this paper a distributed parameter model of the continuous casting billet induction heating process is established. It uses the finite difference method to solve the two-dimensional temperature field of the billet cross-section, predicts the variation of the billet temperature distribution during heating, and verifies the results with ANSYS finite element simulation data. The results show that this method can achieve high prediction accuracy, and is helpful to achieve precise control of the billet temperature in induction heating process. Keywords-Finite difference; Distributed parameter model; Induction heating

This paper firstly analyzes the continuous casting billet induction heating process in hot rolling line to build an ARX model. Then, it determines the model order by AIC criterion, and estimates parameters by the least square method to realize ARX model identification. Finally, the identified model is verified by an actual example, and the result shows that the model has high accuracy and can provide the basis for next temperature control.

In the hot rolling line continuous casting billet electromagnetic induction heating process, it’s generally difficult to make steel billet temperature reach the technological requirement of the target temperature by the conventional voltage control curve. This paper firstly analyzes the mechanism of continuous casting billet electromagnetic induction heating, and establishes ARX model through system identification method. Based on the ARX model, it uses random search algorithm to optimize the output voltage curve. Simulation results show that the optimization strategy can effectively improve the temperature control precision in the continuous casting billet electromagnetic induction heating.