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

F.J. Casares, M. Varo, R. López-Luque , M. Torres-Roldán, D. Muñoz-Rodríguez

2016/5/20

Abstract

Stochastic simulation methods are normally extended as the only available to assess the reliability of the PV system 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 forgenerating 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. This paper presents a mathematical methodology to address the daily energy balance without resorting to simulation methods.

Published in: Renewable Energy & Power Quality Journal (RE&PQJ, Nº. 14)
Pages:531-536 Date of Publication: 2016/5/20
ISSN: 2172-038X Date of Current Version:2016/05/04
REF:383-16 Issue Date: May 2016
DOI:10.24084/repqj14.383 Publisher: EA4EPQ

Authors and affiliations

F.J. Casares , M. Varo, R. López-Luque , M. Torres-Roldán, D. Muñoz-Rodríguez
Research Group on Physics for Renewable Energy and Resources. University of Córdoba. Spain

Key words

SAPV, LLP, Aguiar matrixes, PV sizing.

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