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

Casares, F.J.; López-Luque, R.; Posadillo, R.; Varo-Martínez, Marta

doi:10.1016/j.energy.2014.05.053

Cited by 12 publications

(7 citation statements)

References 35 publications

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“…In this paper, by means of an application example, the usefulness of the method presented by the authors in [12]. According to the results, it is possible to conclude that this method estimate the LLP value and the number of failures, f , for a stand-alone photovoltaic installation quickly and in an analytic and precise way.…”

Section: Discussionmentioning

confidence: 93%

“…In a previous paper, the authors presented a mathematical method to characterize the variables associated with the energy balance of a SAPV [12]. The main feature of this novel sizing technique is that it is not based on simulation so it does not have its disadvantages, such as the dependency on the number of iterations to get accurate results.…”

Section: Introductionmentioning

confidence: 99%

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

Casares¹,

Varo²,

López-Luque³

et al. 2016

REPQJ

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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.

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Section: Discussionmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

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

Casares¹,

Varo²,

López-Luque³

et al. 2016

REPQJ

Self Cite

View full text Add to dashboard Cite

show abstract

“…This is a sthocastic variable, as depending on stochastic variables such as solar radiation, temperature, network losses and so on. This is an observable datum for the analyst, although an uncertain datum [23], [14]. For a single period of time, such as a month, the average values for irradiation in a given territory can present high differences depending on the reference source used for estimation.…”

Section: Methodsmentioning

confidence: 99%

Photovoltaic power plants: a multicriteria approach to investment decisions and a case study in western Spain

2015

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This paper proposes a Compromise Programming (CP) model to help investors decide whether to construct photovoltaic power plants with government financial support. For this purpose, we simulate an agreement between the government, who pursues political prices (guaranteed prices) as low as possible, and the project sponsor who wants returns (stochastic cash flows) as high as possible. The sponsor's decision depends on the positive or negative result of this simulation, the resulting simulated price being compared to the effective guaranteed price established by the country legislation for photovoltaic energy. To undertake the simulation, the CP model articulates variables such as ranges of guaranteed prices, technical characteristics of the plant, expected energy to be generated over the investment life, investment cost, cash flow probabilities, and others. To determine the CP metric, risk

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“…Among these possible renewable energy sources, solar energy plays a fundamental role [ 9 , 10 , 11 ] since, as stated by Kannan and Vakeesan [ 3 ], it is an abundant source of energy that, being properly exploited, could be enough to satisfy world energy demand. Furthermore, it is available all over the planet, its use has no negative impact on the environment and it is a technology that is easily usable at all levels (industrial, domestic, etc.).…”

Section: Introductionmentioning

confidence: 99%

New Omnidirectional Sensor Based on Open-Source Software and Hardware for Tracking and Backtracking of Dual-Axis Solar Trackers in Photovoltaic Plants

Gómez-Uceda

Ramírez-Faz

Varo-Martínez

et al. 2021

Sensors

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In this work, an omnidirectional sensor that enables identification of the direction of the celestial sphere with maximum solar irradiance is presented. The sensor, based on instantaneous measurements, functions as a position server for dual-axis solar trackers in photovoltaic plants. The proposed device has been developed with free software and hardware, which makes it a pioneering solution because it is open and accessible as well as capable of being improved by the scientific community, thereby contributing to the rapid advancement of technology. In addition, the device includes an algorithm developed ex professo that makes it possible to predetermine the regions of the celestial sphere for which, according to the geometric characteristics of the PV plant, there would be shading between the panels. In this way, solar trackers do not have to locate the Sun’s position at all times according to astronomical models, while taking into account factors such as shadows or cloudiness that also affect levels of incident irradiance on solar collectors. Therefore, with this device, it is possible to provide photovoltaic plants with dual-axis solar tracking with a low-cost device that helps to optimise the trajectory of the trackers and, consequently, their radiative capture and energy production.

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

Cited by 12 publications

References 35 publications

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

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

Photovoltaic power plants: a multicriteria approach to investment decisions and a case study in western Spain

New Omnidirectional Sensor Based on Open-Source Software and Hardware for Tracking and Backtracking of Dual-Axis Solar Trackers in Photovoltaic Plants

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