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Mathematical approach to the characterization of daily energy balance in autonomous photovoltaic solar systems

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  • Casares, F.J.
  • Lopez-Luque, R.
  • Posadillo, R.
  • Varo-Martinez, M.

Abstract

Sizing SAPV techniques try to assess the reliability of the system from the stochastic simulation of the energy balance. This stochastic simulation implies the generation, for an extended period of time, of the main state variables of the physical equations describing the energy balance of the system, that is, the energy delivered to the load and the energy stored in the batteries. Most of these methods consider the daily load as a constant over the year and control the variables indicating the reliability associated with the supply of power to the load. Furthermore, these methods rely on previous random models for generating solar radiation data and, since the approximations of the simulation methods are asymptotic, when more precise reliability indicators are required, the simulation period needs to be extended.

Suggested Citation

  • Casares, F.J. & Lopez-Luque, R. & Posadillo, R. & Varo-Martinez, M., 2014. "Mathematical approach to the characterization of daily energy balance in autonomous photovoltaic solar systems," Energy, Elsevier, vol. 72(C), pages 393-404.
    • Handle: RePEc:eee:energy:v:72:y:2014:i:c:p:393-404
    DOI: 10.1016/j.energy.2014.05.053
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    References listed on IDEAS

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    Cited by:

    1. Ana Garcia-Bernabeu & Antonio Benito & Mila Bravo & David Pla-Santamaria, 2016. "Photovoltaic power plants: a multicriteria approach to investment decisions and a case study in western Spain," Annals of Operations Research, Springer, vol. 245(1), pages 163-175, October.
    2. Zhou, Jian & Tsianikas, Stamatis & Birnie, Dunbar P. & Coit, David W., 2019. "Economic and resilience benefit analysis of incorporating battery storage to photovoltaic array generation," Renewable Energy, Elsevier, vol. 135(C), pages 652-662.
    3. Shang, Ce & Srinivasan, Dipti & Reindl, Thomas, 2016. "Generation-scheduling-coupled battery sizing of stand-alone hybrid power systems," Energy, Elsevier, vol. 114(C), pages 671-682.
    4. Haiyan Yao & Aung Thinzar, 2023. "Lithium-ion battery equalization circuit and control strategy for photovoltaic energy storage applications," International Journal of Low-Carbon Technologies, Oxford University Press, vol. 18, pages 341-347.

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    Keywords

    SAPV; LLP; Aguiar matrixes; PV sizing;
    All these keywords.

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