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Modelling spikes in electricity markets using excitable dynamics

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  • De Sanctis, Angela
  • Mari, Carlo

Abstract

We present a general methodology to model spikes in deregulated electricity markets using excitable dynamics in a multi-regime switching approach. In particular, we propose a two-regime switching model and a three-regime switching model in which the spikes phenomenon is described by a FitzHugh–Nagumo excitable dynamics. Both models seems to be interesting candidates for describing the main characteristics of electricity price dynamics as the occurrence of stable periods in which prices fluctuate around some long-run mean, and turbulent periods in which prices experience jumps and spikes of very large magnitude. In agreement with market data, both models can produce probability distributions of price returns with positive skewness and very high values of kurtosis.

Suggested Citation

  • De Sanctis, Angela & Mari, Carlo, 2007. "Modelling spikes in electricity markets using excitable dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 457-467.
    • Handle: RePEc:eee:phsmap:v:384:y:2007:i:2:p:457-467
    DOI: 10.1016/j.physa.2007.05.015
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    References listed on IDEAS

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    1. Mount, Timothy D. & Ning, Yumei & Cai, Xiaobin, 2006. "Predicting price spikes in electricity markets using a regime-switching model with time-varying parameters," Energy Economics, Elsevier, vol. 28(1), pages 62-80, January.
    2. Huisman, Ronald & Mahieu, Ronald, 2003. "Regime jumps in electricity prices," Energy Economics, Elsevier, vol. 25(5), pages 425-434, September.
    3. M. T. Barlow, 2002. "A Diffusion Model For Electricity Prices," Mathematical Finance, Wiley Blackwell, vol. 12(4), pages 287-298, October.
    4. de Jong, C.M., 2005. "The Nature of Power Spikes: a regime-switch approach," ERIM Report Series Research in Management ERS-2005-052-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    5. Mari, Carlo, 2006. "Regime-switching characterization of electricity prices dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 552-564.
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    Cited by:

    1. Mari, Carlo & Cananà, Lucianna, 2012. "Markov switching of the electricity supply curve and power prices dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1481-1488.

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