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A New Predicting Method for Long-Term Photovoltaic Storage Using Rescaled Range Analysis: Application to Two Algerian Sites

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Journal of Mathematical Modelling and Algorithms in Operations Research

Abstract

A new predicting approach of long-term storage capacity for autonomous PV installations has been developed using the rescaled range analysis (R/S). The method consists mainly in establishing a mathematical law between the (R/S) τ ratio and the time period τ. The method has been tested over one year for two autonomous PV systems located in the huge desert of Algeria. Data used are converted solar energy which are not stationary. The experimental results show that even if the condition of stationarity is not satisfied, the rescaled range is well described by a power function of the time, this is possible by introducing a new exponent E. Using the power law the PV storage capacity is predicted for periods ranging from 1 to 5 years. The obtained results show that for an energy demand equalling the mean of converted energy, a storage of several months is needed to obtain the autonomy of the PV systems, consequently it will be too expensive to set-up such PV installations. Thus, an optimization method has been proposed to reduce the size of the storage. Application of this method for the two studied systems has led to significant reduction of the PV storage size.

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Authors and Affiliations

  1. Instrumentation Laboratory, Faculty of Electronics and Computer, University of Science and Technology H. Boumediene (USTHB), P.O. Box 32, El-Alia, 16111, Algiers, Algeria

    Samia Harrouni

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  1. Samia Harrouni
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Correspondence to Samia Harrouni.

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Harrouni, S. A New Predicting Method for Long-Term Photovoltaic Storage Using Rescaled Range Analysis: Application to Two Algerian Sites. J Math Model Algor 12, 311–328 (2013). https://doi.org/10.1007/s10852-012-9189-1

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  • DOI: https://doi.org/10.1007/s10852-012-9189-1

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