6533b838fe1ef96bd12a3b30

RESEARCH PRODUCT

Nonsmooth Penalty Techniques in Control of the Continuous Casting Process

Marko M. MäkeläT. Männikkö

subject

Continuous castingNonlinear heat equationMathematical optimizationDistribution (mathematics)Control (management)Process (computing)Water coolingFunction (mathematics)Optimal controlMathematics

description

We introduce a mathematical model which is used to simulate the continuous casting process and to control the secondary cooling water sprays. The main object is to minimize the defects in the final products. The problem is formulated as an optimal control problem where the cost function is constructed according to certain metallurgical criteria and constraints. The temperature distribution of the strand is calculated by solving a nonlinear heat equation with free boundaries between solid and liquid phases.

https://doi.org/10.1007/978-3-0348-5715-4_26