A dynamic, nonlinear and time‐varying model for electric arc furnace

SUMMARY Electric arc furnace (EAF) is a nonlinear and time-varying load that causes power quality problems such as voltage flicker and harmonics. Field measurement of voltage and current from EAFs in Mobarakeh Steel Company in Isfahan-Iran are used to introduce a comprehensive model for EAF. A new dynamic, nonlinear and time-varying model is presented here. In other words, the function between EAF voltage and current is nonlinear, differential and with time-varying parameters. By using the recorded data, the order of the dynamic part is determined by a new approach. The nonlinear characteristic is modeled with proper polynomial functions. All parameters related to the dynamic and nonlinear functions are considered time varying as time series. Autoregressive moving average (ARMA) models are implemented and the suitable ARMA order is attained for all EAF time-varying parameters. Copyright © 2014 John Wiley & Sons, Ltd.

[1]  J. D. Lavers,et al.  Application of radial basis function networks to model electric arc furnaces , 1999, IJCNN'99. International Joint Conference on Neural Networks. Proceedings (Cat. No.99CH36339).

[2]  Ljubomir A. Kojovic,et al.  Innovative Differential Protection of Power Transformers Using Low-Energy Current Sensors , 2013 .

[3]  Tomás Gómez,et al.  Identification and modelling of a three phase arc furnace for voltage disturbance simulation , 1997 .

[4]  Haidar Samet,et al.  Updating stochastic model coefficients for prediction of arc furnace reactive power , 2009 .

[5]  M. Parniani,et al.  Predictive Method for Improving SVC Speed in Electric Arc Furnace Compensation , 2007, IEEE Transactions on Power Delivery.

[6]  S. S. Venkata,et al.  Nonlinear deterministic modeling of highly varying loads , 1999 .

[7]  M.P. Donsion,et al.  An improved time domain arc furnace model for harmonic analysis , 2004, IEEE Transactions on Power Delivery.

[8]  Rolf Grunbaum,et al.  Powerful reactive power compensation of a very large electric arc furnace , 2013, 4th International Conference on Power Engineering, Energy and Electrical Drives.

[9]  Farrokh Janabi-Sharifi,et al.  An adaptive system for modelling and simulation of electrical arc furnaces , 2009 .

[10]  C. Fuerte-Esquivel,et al.  Application of bifurcations theory to assess nonlinear oscillations produced by AC electric arc furnaces , 2005, IEEE Transactions on Power Delivery.

[11]  Elham B. Makram,et al.  An adaptive arc furnace model , 2000 .

[12]  A. Wasowski Current and voltage unbalance balancing operation of arc or arc-resistance furnaces , 1999 .

[13]  R. Asensi,et al.  A new frequency domain arc furnace model for iterative harmonic analysis , 1997 .

[14]  G.W. Chang,et al.  A Neural-Network-Based Method of Modeling Electric Arc Furnace Load for Power Engineering Study , 2010, IEEE Transactions on Power Systems.

[15]  Ramesh B. Kelkar,et al.  Design and analysis of composite filter for power quality improvement of electric arc furnace , 2013, 2013 3rd International Conference on Electric Power and Energy Conversion Systems.

[16]  V.V. Sastry,et al.  Function space valued Markov model for electric arc furnace , 2004, IEEE Transactions on Power Systems.

[17]  J. D. Lavers,et al.  Application of adaptive fuzzy logic systems to model electric arc furnaces , 1999, 18th International Conference of the North American Fuzzy Information Processing Society - NAFIPS (Cat. No.99TH8397).

[18]  G.W. Chang,et al.  Modeling voltage-current characteristics of an electric arc furnace based on actual recorded data: A comparison of classic and advanced models , 2008, 2008 IEEE Power and Energy Society General Meeting - Conversion and Delivery of Electrical Energy in the 21st Century.

[19]  J.D. Lavers,et al.  Nonlinear black-box modeling of electric arc furnace: an application of fuzzy logic systems , 1999, FUZZ-IEEE'99. 1999 IEEE International Fuzzy Systems. Conference Proceedings (Cat. No.99CH36315).

[20]  Ernst Worrell,et al.  Energy Intensity Development of the German Iron and Steel Industry between 1991 and 2007 , 2012 .

[21]  G. Manchur,et al.  Development of a model for predicting flicker from electric arc furnaces , 1992 .

[22]  Yi-Ying Chen,et al.  A Hybrid Wavelet Transform and Neural-Network-Based Approach for Modelling Dynamic Voltage-Current Characteristics of Electric Arc Furnace , 2014, IEEE Transactions on Power Delivery.

[23]  J. D. Lavers,et al.  Dynamic reconstruction of nonlinear v-i characteristic in electric arc furnaces using adaptive neuro-fuzzy rule-based networks , 2011, Appl. Soft Comput..

[24]  Aurelio García-Cerrada,et al.  Comparison of thyristor-controlled reactors and voltage-source inverters for compensation of flicker caused by arc furnaces , 2000 .

[25]  Anna Soffía Hauksdóttir,et al.  System identification of a three-phase submerged-arc ferrosilicon furnace , 1995, IEEE Trans. Control. Syst. Technol..

[26]  Ali Abur,et al.  Flicker study using a novel arc furnace model , 2002 .

[27]  Adly A. Girgis,et al.  A new time domain voltage source model for an arc furnace using EMTP , 1996 .

[28]  King Jet Tseng,et al.  An experimentally verified hybrid Cassie-Mayr electric arc model for power electronics simulations , 1997 .

[29]  Haidar Samet,et al.  Employing stochastic models for prediction of arc furnace reactive power to improve compensator performance , 2008 .

[30]  Nikola Rajaković,et al.  A harmonic domain computational package for nonlinear problems and its application to electric arcs , 1990 .

[31]  M. Sakulin,et al.  Recognition of the operational states in electric arc furnaces , 2000, Ninth International Conference on Harmonics and Quality of Power. Proceedings (Cat. No.00EX441).

[32]  H. Samet,et al.  Employing Artificial Neural Networks for prediction of electrical arc furnace reactive power to improve compensator performance , 2012, 2012 IEEE International Energy Conference and Exhibition (ENERGYCON).

[33]  Jong Hyun Choi,et al.  Arc stability index using phase electrical power in AC electric arc furnace , 2013, 2013 13th International Conference on Control, Automation and Systems (ICCAS 2013).

[34]  Rahmat-Allah Hooshmand,et al.  Reactive power compensation in a steel industrial plant with several operating electric arc furnaces utilizing open-loop controlled TCR/FC compensators , 2011 .

[35]  Gian Carlo Montanari,et al.  Atp simulation for arc-furnace flicker investigation , 2007 .

[36]  H. Samet,et al.  Updating stochastic models of arc furnace reactive power by genetic algorithm , 2010, Proceedings of 14th International Conference on Harmonics and Quality of Power - ICHQP 2010.

[37]  Haidar Samet,et al.  A wide nonlinear analysis of reactive power time series related to electric arc furnaces , 2012 .