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Modelling of the arc plasma behaviour in the VAR process

机译:VAR过程中电弧等离子体行为的建模

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As part of a complete theoretical description of the behaviour of the electric arc in the vacuum arc remelting process, a model has been developed for the column of plasma generated by a single cluster of cathode spots. The model combines a kinetic approach, taking into account the formation of the plasma in the cathodic region, and a hydrodynamic approach, describing the expansion of the plasma in the vacuum between the electrodes. The kinetic model is based on a system of Boltzmann-Vlasov-Poisson equations and uses a particle-type simulation procedure, combining the PIC (Particle In Cell) and FPM (Finite Point Set Method) methods. In the two-dimensional hydrodynamic model, the plasma is represented as a mixture of two continuous fluids (the electrons and the ions), each described by a system of coupled transport equations. Finally, a simplified method has been defined for calculating the electric current density and the energy flux density transmitted by the plasma to the anode. In order to achieve complete modelling of the electric arc in the VAR furnace, the movement of all the clusters on the cathode surface has been simulated, based on a detailed experimental study performed on industrial plant. The results of the numerical simulation presented are consistent with a certain number of experimental results available in the literature. In particular, the model predicts a percentage of the electric power of the arc transmitted to the anode (25%) in good agreement with the value indicated in the literature. (C) 2004 Kluwer Academic Publishers.
机译:作为对真空电弧重熔过程中电弧行为的完整理论描述的一部分,已经开发了一个模型,用于由单个阴极点簇生成的等离子体柱。该模型结合了动力学方法和流体力学方法,其中动力学方法考虑了阴极区域中等离子体的形成,流体动力学方法描述了电极之间真空中等离子体的膨胀。动力学模型基于Boltzmann-Vlasov-Poisson方程组,并使用粒子类型的模拟程序,将PIC(单元内颗粒)方法和FPM(有限点集方法)方法结合在一起。在二维流体动力学模型中,等离子体表示为两种连续流体(电子和离子)的混合物,每种流体均由耦合的传输方程组描述。最后,定义了一种简化的方法来计算由等离子体传输到阳极的电流密度和能量通量密度。为了对VAR炉中的电弧进行完整的建模,在对工厂进行的详细实验研究的基础上,对所有簇在阴极表面的运动进行了模拟。给出的数值模拟结果与文献中提供的一定数量的实验结果一致。特别地,该模型预测了传输到阳极的电弧电功率的百分比(25%),与文献中指出的值非常吻合。 (C)2004 Kluwer学术出版社。

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