钢坯加热炉计算机控制动态数学模型的开发

本文论述了一个应用于加热炉计算机控制和优化操作的离散状态空间模型的开发.模型 基于描述钢坯不稳定导热的两维偏微分方程的相应的边界条件,应用系统分解和离散化方法, 最终转化为由一系列相互关联的子系统组成的大规模离散状态方程.根据加热炉的可测炉段 温度和钢坯的几何尺寸、钢种、移动速度等有关操作条件,模型实时地给出钢坯在炉内任意位 置温度分布的动态响应. 由大型加热炉工业试验数据表明,模型的精度能满足工程应用的要求. 本文还提出了应用数学模型实现加热炉递阶计算机空子的策略.

The Development of Dynamic Mathematical Models for Computer Control of Slab Reheat Furnaces

The development of the discrete state space models for computer control and operation optimization of reheat furnaces is presented in this paper. The model development is based on the two-dimensional partial differential equations describing the unsteady-state heat conductions and the corresponding boundary conditions of the heated slabs, which finally are converted to a large-scale discrete state space model with a series of interconnected subsystems through using the techniques of system decomposition and discretization. Real-time dynamic responses of the temperature profiles for any slabs at any positions in the furnaces, geometric size and grade of the steel slabs and their moving rate in the furnace can be provided based on the measurable furnace zone temperatures by the models. The industrial experimental results show that the models' precision is good enough to satisfy the engineering demands. The Mathematical model based hierachical computer control strategies for reheat furnaces are also proposed in this paper.