Hardware Design for Simulating the Chaos in Electric Arc Furnace

Abstract:

A chaotic circuit was designed to simulate the chaotic phenomenon observed in power supply system of electric arc furnace (EAF). Based on volt-ampere characteristic of the negative resistance converter (NRC) composed of the integrated operational amplifier (IOA), two NRCs with different parameters are connected in parallel in this circuit. The positive and negative power supply sources of the IOA are unequal in voltage amplitude. Experimental results show that the circuit has characteristics of general Chuas circuits and can generate an asymmetric double-scroll chaotic attractor, which helps establish the foundation for chaotic model of AC arc furnace used to study power quality.

• Periodical: Advanced Materials Research (Volumes 860-863)
• Pages: 2360-2364
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.860-863.2360
• Online since: December 2013
• Authors: Yu Fei Wang*, Jian Yun Zhang, Hua Xue
• Keywords: Chaotic Circuit, Electric Arc Furnace (EAF), Hardware Circuit, Negative Resistance Converter (NRC)

References

[1] Yufei Wang, Jianguo Jiang, A novel chaotic model of AC electric arc furnace for power quality study, Proceedings of the CSEE, 28(2008) 106-110. (In Chinese).

[2] Labar H, Djeghader Y, Bounaya K, et al., Improvement of electrical arc furnace operation with an appropriate model, Energy, 34(2009) 1207-1214.

DOI: 10.1016/j.energy.2009.03.003

[3] Enzeng Dong, Zhiling Lin, Zengqiang Chen, et al., Hopf bifurcation analysis and circuit simulation of a new Chen hyper-chaotic system, International Workshop on Chaos-Fractals Theories and Application, 4(2011) 42-46.

DOI: 10.1109/iwcfta.2011.9

[4] King P E, Ochs T L, Hartman A D., Chaotic response in electric arc furnaces, J. Appl. Physics, 76(1994) 2059-(2065).

DOI: 10.1063/1.357639

[5] O´Neil-Carrillo E, Heydt G T, Kostelich E J, et al., Nonlinear deterministic modeling of highly varying loads, IEEE Trans. On Power Delivery, 14(1999) 537-542.

DOI: 10.1109/61.754100

[6] O´Neil-Carrillo E, Nonlinear modeling and analysis of highly varying loads, Arizona State University, America, (1999).

[7] Ozgun O, Ali A., Flicker study using a novel arc furnace model, IEEE Trans. Power Delivery, 17(2002) 1158-1163.

DOI: 10.1109/tpwrd.2002.804013

[8] Ozgun Omer, New models and simulation techniques for power quality assessment, Texas A&M University, America, (2001).

[9] Ozgun O, Ali A., Development of an arc furnace model for power quality studies, IEEE Power Engineering Society Summer Meeting, 7(1999) 537-542.

DOI: 10.1109/pess.1999.784402

[10] Mediana A, Gomez-martines M A, Fuerte-esquivel C R., Application of bifurcations theory to assess nonlinear oscillations produced by AC electric arc furnaces, IEEE Trans. Power Delivery, 20(2005) 801-806.

DOI: 10.1109/tpwrd.2005.844289

[11] Gomez-martines M A, Mediana A, Fuerte-esquivel C R., AC arc furnace stability analysis based on bifurcation theory, IEE Pro. Gener. Transm. Distrib., 153(2006) 463-468.

DOI: 10.1049/ip-gtd:20050382

[12] Fenghua Wang, Zhijian Jin, Zishu Zhu, et al., Modeling the DC electric arc furnace based on chaos theory and neural network, Power Engineering Society General Meeting, 3(2005) 2503-2508.

DOI: 10.1109/pes.2005.1489181

[13] Yu-Jen Hsu, Kuan-Hung Chen, et al., Electric arc furnace voltage flicker analysis and prediction, IEEE Trans. On Instrumentation and Measurement, 60(2011) 3360-3368.

DOI: 10.1109/tim.2011.2134910

[14] Yufei Wang, Jianguo Jiang, Analysis of chaos in asymmetric nonlinear Chua's circuit, Systems Engineering and Electronics, 29(2007) 2029-2031. (In Chinese).