The electric arc furnace is the main process unit in scrap‐based steelmaking. Owing to its importance, numerous mathematical models for predicting the course of the electric arc furnace process have been developed. This article reviews mathematical process models proposed in the literature, identifying the most common modeling approaches, and uses mathematical descriptions for the main phenomena. Furthermore, the validation of such models is discussed in detail. Finally, the article identifies gaps in the existing knowledge and provides suggestions for the further development of mathematical process models.

中文翻译：

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电弧炉过程的数学过程模型综述

电弧炉是废钢炼钢的主要工艺单元。由于其重要性，已经开发了许多用于预测电弧炉过程的过程的数学模型。本文回顾了文献中提出的数学过程模型，确定了最常见的建模方法，并对主要现象使用了数学描述。此外，将详细讨论这种模型的验证。最后，本文确定了现有知识中的空白，并为进一步开发数学过程模型提供了建议。