Extracting Statistical Properties of Solar and Photovoltaic Power Production for the Scope of Building a Sophisticated Forecasting Framework

Building a sophisticated forecasting framework for solar and photovoltaic power production in geographic zones with severe meteorological conditions is very challenging. This difficulty is linked to the high variability of the global solar radiation on which the energy production depends. A suitable...

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Main Authors: Joseph Ndong, Ted Soubdhan
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Forecasting
Subjects:
Online Access:https://www.mdpi.com/2571-9394/5/1/1
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author Joseph Ndong
Ted Soubdhan
author_facet Joseph Ndong
Ted Soubdhan
author_sort Joseph Ndong
collection DOAJ
description Building a sophisticated forecasting framework for solar and photovoltaic power production in geographic zones with severe meteorological conditions is very challenging. This difficulty is linked to the high variability of the global solar radiation on which the energy production depends. A suitable forecasting framework might take into account this high variability and could be able to adjust/re-adjust model parameters to reduce sensitivity to estimation errors. The framework should also be able to re-adapt the model parameters whenever the atmospheric conditions change drastically or suddenly—this changes according to microscopic variations. This work presents a new methodology to analyze carefully the meaningful features of global solar radiation variability and extract some relevant information about the probabilistic laws which governs its dynamic evolution. The work establishes a framework able to identify the macroscopic variations from the solar irradiance. The different categories of variability correspond to different levels of meteorological conditions and events and can occur in different time intervals. Thereafter, the tool will be able to extract the abrupt changes, corresponding to microscopic variations, inside each level of variability. The methodology is based on a combination of probability and possibility theory. An unsupervised clustering technique based on a Gaussian mixture model is proposed to identify, first, the categories of variability and, using a hidden Markov model, we study the temporal dependency of the process to identify the dynamic evolution of the solar irradiance as different temporal states. Finally, by means of some transformations of probabilities to possibilities, we identify the abrupt changes in the solar radiation. The study is performed in Guadeloupe, where we have a long record of global solar radiation data recorded at 1 Hertz.
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spelling doaj.art-6d7a2d04291f4491b74db1f8fa4582cb2023-03-28T13:38:11ZengMDPI AGForecasting2571-93942022-12-015112110.3390/forecast5010001Extracting Statistical Properties of Solar and Photovoltaic Power Production for the Scope of Building a Sophisticated Forecasting FrameworkJoseph Ndong0Ted Soubdhan1Faculty of Sciences and Techniques, Department of Mathematics and Computer Science, University Cheikh Anta Diop of Dakar, Dakar 10700, SenegalLaboratoire LARGE, Faculty of Sciences, Department of Physics, University of Antilles, 97157 Pointe-à-Pitre, FranceBuilding a sophisticated forecasting framework for solar and photovoltaic power production in geographic zones with severe meteorological conditions is very challenging. This difficulty is linked to the high variability of the global solar radiation on which the energy production depends. A suitable forecasting framework might take into account this high variability and could be able to adjust/re-adjust model parameters to reduce sensitivity to estimation errors. The framework should also be able to re-adapt the model parameters whenever the atmospheric conditions change drastically or suddenly—this changes according to microscopic variations. This work presents a new methodology to analyze carefully the meaningful features of global solar radiation variability and extract some relevant information about the probabilistic laws which governs its dynamic evolution. The work establishes a framework able to identify the macroscopic variations from the solar irradiance. The different categories of variability correspond to different levels of meteorological conditions and events and can occur in different time intervals. Thereafter, the tool will be able to extract the abrupt changes, corresponding to microscopic variations, inside each level of variability. The methodology is based on a combination of probability and possibility theory. An unsupervised clustering technique based on a Gaussian mixture model is proposed to identify, first, the categories of variability and, using a hidden Markov model, we study the temporal dependency of the process to identify the dynamic evolution of the solar irradiance as different temporal states. Finally, by means of some transformations of probabilities to possibilities, we identify the abrupt changes in the solar radiation. The study is performed in Guadeloupe, where we have a long record of global solar radiation data recorded at 1 Hertz.https://www.mdpi.com/2571-9394/5/1/1bayesian inferenceGMMHMMviterbi decoderpossibility theory
spellingShingle Joseph Ndong
Ted Soubdhan
Extracting Statistical Properties of Solar and Photovoltaic Power Production for the Scope of Building a Sophisticated Forecasting Framework
Forecasting
bayesian inference
GMM
HMM
viterbi decoder
possibility theory
title Extracting Statistical Properties of Solar and Photovoltaic Power Production for the Scope of Building a Sophisticated Forecasting Framework
title_full Extracting Statistical Properties of Solar and Photovoltaic Power Production for the Scope of Building a Sophisticated Forecasting Framework
title_fullStr Extracting Statistical Properties of Solar and Photovoltaic Power Production for the Scope of Building a Sophisticated Forecasting Framework
title_full_unstemmed Extracting Statistical Properties of Solar and Photovoltaic Power Production for the Scope of Building a Sophisticated Forecasting Framework
title_short Extracting Statistical Properties of Solar and Photovoltaic Power Production for the Scope of Building a Sophisticated Forecasting Framework
title_sort extracting statistical properties of solar and photovoltaic power production for the scope of building a sophisticated forecasting framework
topic bayesian inference
GMM
HMM
viterbi decoder
possibility theory
url https://www.mdpi.com/2571-9394/5/1/1
work_keys_str_mv AT josephndong extractingstatisticalpropertiesofsolarandphotovoltaicpowerproductionforthescopeofbuildingasophisticatedforecastingframework
AT tedsoubdhan extractingstatisticalpropertiesofsolarandphotovoltaicpowerproductionforthescopeofbuildingasophisticatedforecastingframework