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Modelling of turbulent wind flow using the embedded Markov chain method

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  • Evans, S.P.
  • Clausen, P.D.

Abstract

Small wind turbines are usually installed to provide off-grid power and as such can be situated close to the load in a less-than-ideal wind resource. These wind regimes are often governed by low mean speeds and high wind turbulence. This can result in energy production less than that specified by the manufacturer's power curve. Wind turbulence is detrimental to the fatigue life of key components and overall turbine reliability and therefore must be considered in the design stage of small wind turbines. Consequently it is important to accurately simulate wind speed data at highly turbulent sites to quantify loading on turbine components. Here we simulate wind speed data using the Markov chain Monte Carlo process and incorporate long term effects using an embedded Markov chain. First, second and third order Markov chain predictions were found to be in good agreement with measured wind data acquired at 1 Hz. The embedded Markov chain was able to predict site turbulent intensity with a reasonable degree of accuracy. The site exhibited distinctive peaks in wind speed possibly caused by diurnal heating and cooling of the earth's surface. The embedded Markov chain method was able to simulate these peaks albeit with a time offset.

Suggested Citation

  • Evans, S.P. & Clausen, P.D., 2015. "Modelling of turbulent wind flow using the embedded Markov chain method," Renewable Energy, Elsevier, vol. 81(C), pages 671-678.
  • Handle: RePEc:eee:renene:v:81:y:2015:i:c:p:671-678
    DOI: 10.1016/j.renene.2015.03.067
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    References listed on IDEAS

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    1. Nfaoui, H. & Essiarab, H. & Sayigh, A.A.M., 2004. "A stochastic Markov chain model for simulating wind speed time series at Tangiers, Morocco," Renewable Energy, Elsevier, vol. 29(8), pages 1407-1418.
    2. Bowen, A.J & Zakay, N & Ives, R.L, 2003. "The field performance of a remote 10 kW wind turbine," Renewable Energy, Elsevier, vol. 28(1), pages 13-33.
    3. Jones, D.I. & Lorenz, M.H., 1986. "An application of a Markov chain noise model to wind generator simulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 28(5), pages 391-402.
    4. Ettoumi, F.Youcef & Sauvageot, H & Adane, A.-E.-H, 2003. "Statistical bivariate modelling of wind using first-order Markov chain and Weibull distribution," Renewable Energy, Elsevier, vol. 28(11), pages 1787-1802.
    5. Whale, J. & McHenry, M.P. & Malla, A., 2013. "Scheduling and conducting power performance testing of a small wind turbine," Renewable Energy, Elsevier, vol. 55(C), pages 55-61.
    6. Shamshad, A. & Bawadi, M.A. & Wan Hussin, W.M.A. & Majid, T.A. & Sanusi, S.A.M., 2005. "First and second order Markov chain models for synthetic generation of wind speed time series," Energy, Elsevier, vol. 30(5), pages 693-708.
    7. Fleck, Brian & Huot, Marc, 2009. "Comparative life-cycle assessment of a small wind turbine for residential off-grid use," Renewable Energy, Elsevier, vol. 34(12), pages 2688-2696.
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