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Modeling and Compensation of Flicker in Electrical Networks using Chaos Theory and SVC Systems

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Applications of Chaos and Nonlinear Dynamics in Engineering - Vol. 1

Part of the book series: Understanding Complex Systems ((UCS))

Abstract

This chapter presents an integrated model for the simulation and compensation of the voltage flicker introduced to a power system due to an electric arc furnace. Chaos theory is used to model the chaotic nature of the arc voltage and a Static Var Compensator (SVC) is used for flicker compensation. It starts with a brief discussion on the impact of arc furnaces in power quality and the different approaches available for representation of the nonlinear and dynamic time-varying characteristic of the electric arc. The arc furnace voltage-current deterministic characteristic is introduced and its association with Chua’s circuit is, initially, investigated by simulations in the MatLab environment. Then, the fundamental aspects of the control strategy of a SVC are presented. From these, an explanation on the adjustment of the model to correctly simulate the furnace operation is shown. To validate the proposed system modelling and solutions, the chapter presents a case study on a 30 MVA arc furnace plant, obtained from an implementation in the Alternative Transients Program (ATP) environment. Finally, conclusions are presented.

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Acknowledgements

The authors acknowledge the support by CEMIG – Energy Company of Minas Gerais – Brazil, through Research and Development Project 048.

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Authors and Affiliations

  1. Graduate Program in Electrical Engineering, Pontifical Catholic University of Minas Gerais, Av. Dom Jose Gaspar, 500, Coracao Eucaristico, 30535-901, Belo Horizonte, Minas Gerais, Brazil

    Mario Fabiano Alves & Zelia Myriam Assis Peixoto

Authors
  1. Mario Fabiano Alves
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  2. Zelia Myriam Assis Peixoto
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Correspondence to Mario Fabiano Alves .

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Editors and Affiliations

  1. Politechnico di Torino, Department of Mathematics, Corso Duca degli Abruzzi 24, Torino, 10129, Italy

    Santo Banerjee

  2. and Technology, Department of Physics, Camellia School of Engineering, Nadibag PO Kajipara Barasat, Kolkata, 700124, India

    Mala Mitra

  3. , Dipartimento di Matematica, Politecnico di Torino, corso Duca degli Abruzzi 24, Torino, 10129, Italy

    Lamberto Rondoni

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Alves, M.F., Peixoto, Z.M.A. (2011). Modeling and Compensation of Flicker in Electrical Networks using Chaos Theory and SVC Systems. In: Banerjee, S., Mitra, M., Rondoni, L. (eds) Applications of Chaos and Nonlinear Dynamics in Engineering - Vol. 1. Understanding Complex Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21922-1_2

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  • DOI: https://doi.org/10.1007/978-3-642-21922-1_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21921-4

  • Online ISBN: 978-3-642-21922-1

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