Analysis of correlations between electric arc furnace model coefficients

Electric arc furnaces (EAFs) are the largest loads in power systems and are characterized by a significant negative influence on power quality. The modeling of EAFs provides the knowledge necessary for the proper design of power systems and power quality improvement systems. This paper introduces a new EAF model based on the Random Differential Equation resulting from an extension of the power balance arc model with stochastic processes. The proposed solution considers correlations between the coefficients of the equation, resulting in improved accuracy and simplification of the model. The developed solution is based on real measurement data originating from the melting stage of a large industrial EAF.