An adaptive arc furnace model

Abstract

This paper presents an adaptive arc furnace model. The integrated model is divided into three parts, the supply system model, the nonlinear load model and the controller model. First, the supply system is represented by a set of linear differential equations. Simulation is achieved by a numerical method and the measurements are taken as the control input. Secondly, based on the arc melting process and typical arc furnace -characteristic, the arc furnace load is described as a current-controlled nonlinear resistance. The pattern of nonlinear resistance is controlled by the average arc length, which reflects the arc furnace operating condition. Finally, the rectangular approximation of arc voltage is adopted by the controller to generate the arc power-arc length and the arc current-arc length curves. This information combined with the arc furnace operation and measurement information is used for the control scheme to determine the arc length and arc furnace transformer tap. Thus, the proposed adaptive arc furnace model is suitable for different operating conditions. This model is also compared with the existing arc furnace models, which provides its validity. The effect of arc furnace load on power system is also studied through the proposed model. Index Terms-Arc furnace, harmonic analysis, nonlinear load.

Least Square-Support Vector Machine Based Modeling for Electric Arc Furnaces

“…The proposed model could be adaptively adjusted to obtain the given operation condition. This model was efficient in the power quality study [26].…”

“…However, the proposed model needed to improve the characterization of the EAF [30]. A v-i characteristic based method has been presented to model an adaptive arc furnace by using a current-controlled nonlinear resistance [26]. This model was able to control the arc furnace load, which made it suitable for different operating conditions.…”

Field Data-based Study on Electric Arc Furnace Flicker Mitigation

“…Historically, there are various methods to model arc furnace, such as arcing resistance model, harmonics accumulation model and frequency domain method [9][10][11]. These methods can match the non-linear v-i curve, stochastic and even chaotic characteristics of EAF; therefore, they are satisfactory for the purpose of power quality analysis.…”

Exponential-Hyperbolic Model for Actual Operating Conditions of Three Phase Arc Furnaces

“…The important issue in the modeling of the arc is the simulation of arc [1][2][3][4][5][6][7][8][9][10][11][12][13][14] . There have been several methods to describe the electric arc.…”

“…The time domain methods based on the differential equations are presented by in [3][4][5] . The methods used in [6,7,[12][13][14] are based on the lineralized methods and approximation. Other methods such as methods based on frequency response [7] , V-I characteristic [9,13] , nonlinear differential equations [9,10] , are used to analyze electric arc of the furnaces.…”