Taming instabilities in power grid networks by decentralized control

The European Physical Journal Special Topics volume 225, pages 569–582 (2016)Cite this article

Abstract

Renewables will soon dominate energy production in our electric power system. And yet, how to integrate renewable energy into the grid and the market is still a subject of major debate. Decentral Smart Grid Control (DSGC) was recently proposed as a robust and decentralized approach to balance supply and demand and to guarantee a grid operation that is both economically and dynamically feasible. Here, we analyze the impact of network topology by assessing the stability of essential network motifs using both linear stability analysis and basin volume for delay systems. Our results indicate that if frequency measurements are averaged over sufficiently large time intervals, DSGC enhances the stability of extended power grid systems. We further investigate whether DSGC supports centralized and/or decentralized power production and find it to be applicable to both. However, our results on cycle-like systems suggest that DSGC favors systems with decentralized production. Here, lower line capacities and lower averaging times are required compared to those with centralized production.

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References

  1. 1.

    O. Edenhofer, R. Madruga, Y. Sokona, K. Seyboth (2011)

  2. 2.

    B. für Wirtschaft und Energie, Erneuerbare Energien im Jahr 2014 (2015), http://www.erneuerbare-energien.de/

  3. 3.

    T. Ackermann, G. Andersson, L. Söder, Electric Power Systems Research 57, 195 (2001)

    Article  Google Scholar 

  4. 4.

    P. Kotler, Adv. Consumer Res. 13, 510 (1986)

    Google Scholar 

  5. 5.

    J.A. Turner, Science 285, 687 (1999)

    Article  Google Scholar 

  6. 6.

    50 Hertz, Amprion, T. TSO, TransnetBW, Netzentwicklungplan Strom (2012), http://www.netzentwicklungsplan.de

  7. 7.

    G. Boyle, Renewable Energy (Oxford University Press, Oxford, 2004)

  8. 8.

    D. Heide, L.V. Bremen, M. Greiner, C. Hoffmann, M. Speckmann, S. Bofinger, Renewable Energy 35, 2483 (2010)

    Article  Google Scholar 

  9. 9.

    P. Milan, M. Wächter, J. Peinke, Phys. Rev. Lett. 110, 138701 (2013)

    ADS  Article  Google Scholar 

  10. 10.

    Bundesministerium für Wirtschaft und Energie (BMWi), Ein Strommarkt für die Energiewende (2014)

  11. 11.

    M. Jansen, C. Richts, N. Gerhardt, Strommarkt-Flexibilisierung – Hemmnisse und Lösungskonzepte (2015)

  12. 12.

    D. Butler, Nature 445, 586 (2007)

    Article  Google Scholar 

  13. 13.

    M.H. Albadi, E.F. El-Saadany, Electr. Power Syst. Res. 78, 1989 (2008)

    Article  Google Scholar 

  14. 14.

    P. Palensky, D. Dietrich, Ind. Informatics, IEEE Transactions on 7, 381 (2011)

    Article  Google Scholar 

  15. 15.

    J.K. Kok, C.J. Warmer, I. Kamphuis, Proc. Fourth Int. joint Conf. Autonomous Agents Multiagent Syst. (ACM, 2005), p. 75

  16. 16.

    L. Hofmann, M. Sonnenschein, Smart Nord Final Rep. (2015), http://smartnord.de/downloads/SmartNordFinalReport.pdf

  17. 17.

    G.N. Ericsson, Power Delivery, IEEE Transactions 25, 1501 (2010)

    Article  Google Scholar 

  18. 18.

    X. Fang, S. Misra, G. Xue, D. Yang, Commun. Surv. & Tutorials, IEEE 14, 944 (2012)

    Article  Google Scholar 

  19. 19.

    E.Y. GmbH, Cost-benefit Anal. Comprehensive Use Smart Metering Syst. – Final Rep. – Summary (2013)

  20. 20.

    F.C. Schweppe, Frequency Adaptive, Power-Energy Re-scheduler (1982), US Patent 4,317,049

  21. 21.

    J.A. Short, D.G. Infield, L.L. Freris, Power Syst. IEEE Transactions 22, 1284 (2007)

    Article  Google Scholar 

  22. 22.

    T. Walter, Smart Grid neu gedacht: Ein Lösungsvorschlag zur Diskussion in VDE—ETG (2014), http://www.vde.com/de/fg/ETG/Pbl/MI/2014-01/Seiten/Homepage.aspx

  23. 23.

    B. Schäfer, M. Matthiae, M. Timme, D. Witthaut, New J. Phys. 17, 015002 (2015)

    ADS  Article  Google Scholar 

  24. 24.

    G. Filatrella, A.H. Nielsen, N.F. Pedersen, Eur. Phys. J. B-Condensed Matter Complex Syst. 61, 485 (2008)

    Article  Google Scholar 

  25. 25.

    D. Witthaut, M. Timme, New J. Phys. 14, 083036 (2012)

    ADS  Article  Google Scholar 

  26. 26.

    M. Rohden, A. Sorge, D. Witthaut, M. Timme, Chaos: An Interdisciplinary J. Nonlinear Sci. 24, 013123 (2014)

    MathSciNet  Article  Google Scholar 

  27. 27.

    F.D. M., C.F. , Bullo, Proc. Natl. Acad. Sci. 110, 2005 (2013)

    ADS  MathSciNet  Article  Google Scholar 

  28. 28.

    A.E. Motter, S.A. Myers, M. Anghel, T. Nishikawa, Nature Phys. 9, 191 (2013)

    ADS  Article  Google Scholar 

  29. 29.

    P.J. Menck, J. Heitzig, J. Kurths, H.J. Schellnhuber, Nature Commun. 5, (2014)

  30. 30.

    M. Rohden, A. Sorge, M. Timme, D. Witthaut, Phys. Rev. Lett. 109, 064101 (2012)

    ADS  Article  Google Scholar 

  31. 31.

    J. Machowski, J. Bialek, J. Bumby, Power System Dynamics: Stability and Control (John Wiley & Sons, 2011)

  32. 32.

    A.R. Bergen, D.J. Hill, Power Apparatus and Syst. IEEE Trans. 100, 25 (1981)

    Article  Google Scholar 

  33. 33.

    D.V. Hertem, J. Verboomen, K. Purchala, R. Belmans, W.L. Kling, AC and DC Power Transmission, 2006. ACDC 2006. The 8th IEEE Int. Conference (IET, 2006), p. 58

  34. 34.

    D. Manik, D. Witthaut, B. Schäfer, M. Matthiae, A. Sorge, M. Rohden, E. Katifori, M. Timme, Eur. Phys. J. Special Topics 223, 2527 (2014)

    ADS  Article  Google Scholar 

  35. 35.

    R.D. Driver, Ordinary and Delay Differential Equations (Springer, 1977), p. 225

  36. 36.

    M.R. Roussel, Delay-Differential Equations (2005)

  37. 37.

    W.R. Inc., Math. Champaign Illinois (2014)

  38. 38.

    K. Gu, J. Chen, V.L. Kharitonov, Stability of Time-delay Syst. (Springer Science & Business Media, 2003)

  39. 39.

    P.J. Menck, J. Heitzig, N. Marwan, J. Kurths, Nature Phys. 9, 89 (2013)

    ADS  Article  Google Scholar 

  40. 40.

    P. Schultz, J. Heitzig, J. Kurths, New J. Phys. 16, 125001 (2014)

    ADS  Article  Google Scholar 

  41. 41.

    ENTSO-E, Network code on requirements for grid connection applicable to all generators (rfg) (2013), https://www.entsoe.eu/major-projects/network-code-development/requirements-for-generators/

  42. 42.

    B. Naduvathuparambil, M. Valenti, A. Feliachi et al., Southeastern Symposium Syst. Theory 34 (Citeseer, 2002), p. 118

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Author information

Affiliations

  1. Network Dynamics, Max-Planck-Institute for Dynamics and Self-Organization (MPIDS), 37077, Göttingen, Germany

    B. Schäfer & M. Timme

  2. Potsdam Institute for Climate Impact Research, 14412, Potsdam, Germany

    C. Grabow, S. Auer & J. Kurths

  3. Department of Physics, Humboldt University Berlin, 12489, Berlin, Germany

    S. Auer & J. Kurths

  4. Institute of Complex Systems and Mathematical Biology, University of Aberdeen, Aberdeen AB24 3FX, UK

    J. Kurths

  5. Department of Control Theory, Nizhny Novgorod State University, 606950, Nizhny Novgorod, Russia

    J. Kurths

  6. Forschungszentrum Jülich, Institute for Energy and Climate Research (IEK-Systems Analysis and Technology Evaluation), 52428, Jülich, Germany

    D. Witthaut

  7. Institute for Theoretical Physics, University of Cologne, 50937, Köln, Germany

    D. Witthaut

  8. Institute for Nonlinear Dynamics, Faculty of Physics, University of Göttingen, 37077, Göttingen, Germany

    M. Timme

  9. Department of Physics, Technical University of Darmstadt, 64289, Darmstadt, Germany

    M. Timme

  10. Department of Mechanical and Aerospace Engineering, New York University Tandon, School of Engineering, Brooklyn, New York, 11201, USA

    C. Grabow

Authors
  1. B. Schäfer
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  2. C. Grabow
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  3. S. Auer
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  4. J. Kurths
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  5. D. Witthaut
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  6. M. Timme
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Corresponding authors

Correspondence to B. Schäfer or C. Grabow or S. Auer or J. Kurths or D. Witthaut or M. Timme.

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Schäfer, B., Grabow, C., Auer, S. et al. Taming instabilities in power grid networks by decentralized control. Eur. Phys. J. Spec. Top. 225, 569–582 (2016). https://doi.org/10.1140/epjst/e2015-50136-y

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