Abstract
This paper proposes a mathematical model of an electric arc furnace (EAF) system based on the voltage and current (V–I) field data. The proposed method is formulated using the ellipse equation, which is derived from the measurement profile of real EAF systems. This paper also presents the harmonics and power-pattern information corresponding to the smelting processes (boring, melting, and refining) in order to realistically design an EAF for potential industrial applications. The third harmonic component significantly affects the shape of the V–I curve in realistic EAF systems, while the periodic power fluctuation is closely associated with the size of the ellipse. These characteristics can be formulated and designed by the proposed method, and even in the absence of the V–I profile, an EAF model can be generated using the generalized information provided in this paper. The electrical phenomenon in the proposed method is mathematically verified using the PSCAD/EMTDC software.
Highlights
A N electric arc furnace (EAF) generally exhibits random and nonlinear characteristics that cause power quality problems and threaten the stability of the connected power system in severe cases
Y : v(t) = V sin(ωt + θv) where I, V, θi and θv are the RMS current, RMS voltage, current angle and voltage angle for EAF system, respectively. It facilitates the representation of the V–I characteristics as an ellipse formula when the EAF system is modeled with the time-varying impedance in (7)
This paper presents a methodology for modeling the EAF systems using the V–I profile, which is verified through case studies using the measurement data of the existing EAFs
Summary
A N electric arc furnace (EAF) generally exhibits random and nonlinear characteristics that cause power quality problems and threaten the stability of the connected power system in severe cases. The proposed impedance model can incorporate the characteristics for each manufacturing process (boring, melting, and refining), and it is observed that the proposed model comprehensively simulates the EAF system Similar fashion to this V–I modeling method, previous approaches such as stochastic modeling [23], [24], [37], optimization technique [36], and data-training method [22] have provided high-accuracy models to handle various power quality problems associated with EAF; these approaches have its own limitation to adjust the model or build a new model due to their unavoidable complex structures. The proposed modeling process collects the V–I measurement data and represents the characteristics, including the low-frequency oscillations and harmonics, as the ellipse formula.
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