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Modeling, nonlinear dynamical analysis of a novel power system with random wind power and it's control

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  • Chen, Diyi
  • Liu, Si
  • Ma, Xiaoyi

Abstract

The stability problem of power networks becomes increasingly important since the rapid development and broad application of wind energy technology. We continue to lack a well-established mathematical model to describe and characterize power systems associated with wind power in essence of random properties. Here, we present a novel model to solve this significant problem by incorporating the nonlinear dynamical theory and the fluctuation nature of wind energy. The model produces some interesting dynamical phenomena, e.g., routes to chaos. To eliminate the chaotic behavior which is disadvantageous to the stability and normal functioning of the whole system, we offer a fuzzy control approach to drive the system with uncertain parameters from chaotic states to steady states. The control method is validated by both numerical simulations and theoretical analysis. Our theory and control scheme can be expected to be potentially applicable in a variety of power systems with wind sources.

Suggested Citation

  • Chen, Diyi & Liu, Si & Ma, Xiaoyi, 2013. "Modeling, nonlinear dynamical analysis of a novel power system with random wind power and it's control," Energy, Elsevier, vol. 53(C), pages 139-146.
    • Handle: RePEc:eee:energy:v:53:y:2013:i:c:p:139-146
    DOI: 10.1016/j.energy.2013.02.013
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    1. Samiei Sarkhanloo, Mehdi & Sadeghi Yazdankhah, Ahmad & Kazemzadeh, Rasool, 2012. "A new control strategy for small wind farm with capabilities of supplying required reactive power and transient stability improvement," Renewable Energy, Elsevier, vol. 44(C), pages 32-39.
    2. Hocine, Labar & Mounira, Mekki, 2011. "Effect of nonlinear energy on wind farm generators connected to a distribution grid," Energy, Elsevier, vol. 36(5), pages 3255-3261.
    3. Liu, Wen & Lund, Henrik & Mathiesen, Brian Vad, 2011. "Large-scale integration of wind power into the existing Chinese energy system," Energy, Elsevier, vol. 36(8), pages 4753-4760.
    4. Pillai, Jayakrishnan R. & Heussen, Kai & Østergaard, Poul Alberg, 2011. "Comparative analysis of hourly and dynamic power balancing models for validating future energy scenarios," Energy, Elsevier, vol. 36(5), pages 3233-3243.
    5. Harijan, Khanji & Uqaili, Mohammad A. & Memon, Mujeebuddin & Mirza, Umar K., 2011. "Forecasting the diffusion of wind power in Pakistan," Energy, Elsevier, vol. 36(10), pages 6068-6073.
    6. Sun, Xiaojing & Huang, Diangui & Wu, Guoqing, 2012. "The current state of offshore wind energy technology development," Energy, Elsevier, vol. 41(1), pages 298-312.
    7. Lund, Henrik & Andersen, Anders N. & Østergaard, Poul Alberg & Mathiesen, Brian Vad & Connolly, David, 2012. "From electricity smart grids to smart energy systems – A market operation based approach and understanding," Energy, Elsevier, vol. 42(1), pages 96-102.
    8. Lund, Henrik, 2005. "Large-scale integration of wind power into different energy systems," Energy, Elsevier, vol. 30(13), pages 2402-2412.
    9. Li, X. & Hubacek, K. & Siu, Y.L., 2012. "Wind power in China – Dream or reality?," Energy, Elsevier, vol. 37(1), pages 51-60.
    10. Lahaçani, N. Aouzellag & Aouzellag, D. & Mendil, B., 2010. "Static compensator for maintaining voltage stability of wind farm integration to a distribution network," Renewable Energy, Elsevier, vol. 35(11), pages 2476-2482.
    11. Xu, Jianzhong & He, Dexin & Zhao, Xiaolu, 2010. "Status and prospects of Chinese wind energy," Energy, Elsevier, vol. 35(11), pages 4439-4444.
    12. Abbes, Mohamed & Belhadj, Jamel, 2012. "Wind resource estimation and wind park design in El-Kef region, Tunisia," Energy, Elsevier, vol. 40(1), pages 348-357.
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