Modeling and Comparison Study of Industrial AC-Arcs

Hákon Valur Haraldsson, Halldór Traustason, Yonatan A. Tesfahunegn, Merete Tangstad, Gudrun Saevarsdottir
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Abstract

Electric arcs are a necessary heat source in many industrial processes that take place in Submerged Arc Furnaces (SAFs). Arcs exhibit non-linear electrical characteristics and behave in a complex manner. Therefore, an improved understanding of their behavior enables better control of furnace operation. Modeling of industrial arcs is a multiphysics process that involves simultaneously solving several coupled physical phenomena, such as electromagnetics, fluid dynamics, and heat transfer, including a radiative heat transfer from the plasma arc. Coupling fluid dynamics and electromagnetics is known as Magnetohydrodynamics (MHD). For practical applications, however, there are also simpler approaches to arc modeling, either based on simplified physical principles or empirical behavior. In this paper, a combined Cassie–Mayr model (CMM) and a channel arc model (CAM) are implemented and coupled with a submerged arc furnace electrical circuit model. The complete circuit model parameters such as resistances and inductances are estimated using modeling of a full size furnace, and then, actual measurements from a SAF are used to validate the models by comparing current and voltage waveform. Both models are then used to estimate harmonic distortion in a SAF for different arc current ratios, which should help operators to estimate the arc current in real time thus be able to lower and raise the electrode to keep operating conditions constant.

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工业交流电弧的建模和比较研究
电弧是在埋弧炉(SAF)中进行的许多工业流程所必需的热源。电弧具有非线性电气特性,行为复杂。因此,加深对其行为的了解有助于更好地控制熔炉的运行。工业电弧建模是一个多物理过程,涉及同时求解多个耦合物理现象,如电磁学、流体动力学和热传递,包括等离子体电弧的辐射热传递。流体动力学和电磁学的耦合被称为磁流体动力学(MHD)。不过,在实际应用中,也有基于简化物理原理或经验行为的更简单的电弧建模方法。本文实施了卡西-迈尔模型(CMM)和槽弧模型(CAM)的组合,并将其与埋弧炉电路模型相结合。利用全尺寸电弧炉建模估算电阻和电感等完整电路模型参数,然后通过比较电流和电压波形,利用电弧炉的实际测量结果验证模型。然后,这两种模型都可用于估算不同电弧电流比下 SAF 中的谐波失真,这将有助于操作人员实时估算电弧电流,从而能够降低或升高电极以保持操作条件不变。
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