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首页> 外文会议>Vienna International Conference on Mathematical Modelling >A Computationally Efficient 3D Mathematical Model of a Molybdenum Batch-Reheating Furnace
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A Computationally Efficient 3D Mathematical Model of a Molybdenum Batch-Reheating Furnace

机译：钼批量再加热炉的计算高效3D数学模型

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摘要

An accurate low-order three-dimensional mathematical model for the reheating process in a batch-type industrial furnace for sintered molybdenum plates is derived. The furnace is described as a distributed-parameter system and discretized with the finite volume method. The system parameters are identified from measurement data and the order of the finite volume model is reduced by means of proper orthogonal decomposition. Special attention is paid to the calculation of exit temperatures, required reheating times, and the uncertainty of the surface emissivity of the plates. The derived model facilitates fast and accurate calculation of temperature profiles in the plate and is thus suitable for online applications, such as parameter and state estimation, model predictive control, and production planning.
机译：推导出用于烧结钼板的分批工业炉中再加热过程的准确低阶三维数学模型。炉子被描述为分布式参数系统，并通过有限体积方法离散化。从测量数据识别系统参数，并且通过适当的正交分解来减少有限卷模型的顺序。特别注意退出温度，所需的再加热时间以及板的表面发射率的不确定性的计算。衍生模型便于快速准确地计算板中的温度曲线，因此适用于在线应用，例如参数和状态估计，模型预测控制和生产计划。

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