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Numerical Estimation of the Geometry and Temperature of An Alternating Current Steelmaking Electric Arc
Steel Research International ( IF 2.2 ) Pub Date : 2020-10-09 , DOI: 10.1002/srin.202000386
Jesús D. Hernández 1 , Luca Onofri 2 , Sebastian Engell 1
Affiliation  

A channel arc model (CAM) that predicts the temperature and the geometry of an electric arc from its voltage and impedance set‐points is presented. The core of the model is a nonlinear programming (NLP) formulation that minimizes the entropy production of a plasma column, the physical and electrical properties of which satisfy the Elenbaas–Heller equation and Ohm's law. The radiative properties of the plasma are approximated utilizing the net emission coefficient (NEC), and the NLP is solved using a global numerical solver. The effects of the voltage and impedance set‐points on the length of the electric arc are studied, and a linear formula that estimates the length of the arc in terms of its electrical set‐points is deducted. The length of various electric arcs is measured in a fully operative electric arc furnace (EAF), and the results are used to validate the proposed models. The errors in the predictions of the models are 0.5 and 0.4 cm. In comparison, the existing empirical and Bowman formulae estimate the length of the experimental arcs with errors of 2.1 and 2.6 cm. A simplified formula to estimate the temperature of an electric arc in terms of its electrical set‐points is also presented.

中文翻译:

交流炼钢电弧的几何形状和温度的数值估计

提出了一种通道电弧模型(CAM),该模型可根据其电压和阻抗设定点预测电弧的温度和几何形状。该模型的核心是一个非线性程序设计(NLP)公式,该公式可最大程度地减少等离子柱的熵产生,该等离子柱的物理和电学性质满足Elenbaas-Heller方程和欧姆定律。利用净发射系数(NEC)估算等离子体的辐射特性,并使用全局数值求解器求解NLP。研究了电压和阻抗设定点对电弧长度的影响,并推导了根据其电气设定点估算电弧长度的线性公式。各种电弧的长度是在完全运行的电弧炉(EAF)中测量的,并将结果用于验证所提出的模型。模型预测的误差为0.5和0.4厘米。相比之下,现有的经验公式和Bowman公式估计的实验弧的长度具有2.1和2.6 cm的误差。还提出了一种简化的公式,用于根据电弧的电气设定值估算电弧的温度。
更新日期:2020-10-09
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