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Renewable and Sustainable Energy Reviews
journal homepage: www.elsevier.com/locate/rser
Evaluation of classical parametric models for estimating solar radiation
in the Eastern Mediterranean region of Turkey
H. Başak Yıldırım
a,
⁎
, Ahmet Teke
b
, Fernando Antonanzas-Torres
c
a
Energy Systems Engineering Department, Adana Science and Technology University, Turkey
b
Electrical and Electronics Engineering Department, Cukurova University, Adana, Turkey
c
EDMANS Group, Department of Mechanical Engineering, University of La Rioja, Logroño, Spain
ARTICLE INFO
Keywords:
Solar radiation
Parametric models
Meteorological parameters
ABSTRACT
Accurate information on global solar radiation is essential to design and operate the systems that are based on
solar energy. However, global solar radiation measurement is very rare while the measurements of other
meteorological parameters such as air temperature, relative humidity, sunshine duration and precipitation are
common in meteorological stations all around the world. Therefore, modelling global solar radiation is an
important issue to fill the gaps in database and to estimate global solar radiation in places where global solar
radiation measurement is not available. There are many different approaches in the literature for modelling
global solar radiation.
Two new methodologies are presented in this paper to develop parametric models for estimation of daily
global solar radiation based on sunshine duration and relative humidity as well as a review of fourteen different
already exist parametric models which are based on air temperature, maximum temperature, minimum
temperature, precipitation, sunshine duration and relative humidity. The proposed models improve the
estimation results of the other fourteen models with average mean absolute error (MAE) of 0.947 MJ/m
2
for
Adana station, 1.086 MJ/m
2
for Göksun station, 1.074 MJ/m
2
for Tarsus station and 1.060 MJ/m
2
for whole
study area. Hence, the proposed models which significantly approximate to measurements from pyranometers
can be useful for the modelling global solar radiation in Eastern Mediterranean Region.
1. Introduction
Global solar radiation is the total amount of solar energy received
by the Earth's surface and the principal energy source for life in our
planet. Therefore, records of observed solar radiation are required in
different fields such as energy planning, climate monitoring and
agriculture management. Generally, the best source of solar radiation
data comes from on-ground measurements with high-quality and
correctly maintained pyranometers. Solar energy maps which show
the global solar radiation potential of the country can be useful to
determine the most suitable locations to install solar systems and
reduce the costs of feasibility studies for such projects [1]. However,
due to cost and operational maintenance requirements, it is neither
always possible to obtain spherical solar radiation data in such a way,
nor to establish pyranometers with sufficient time to make a recording.
For these reasons, solar energy planners seek different approaches to
obtain long-term accurate solar radiation records. Among these
methods, parametric models are widely used in literature because of
their simplicity. These parametric techniques model the atmospheric
transmittance using other commonly measured meteorological vari-
ables that are related to solar radiation [2]. Once trained in a location
with a pyranometer, solar radiation can be estimated in stations
without pyranometers with the only need of the other input variables,
the calculation of the extraterrestrial irradiation and in some cases the
calculation of maximum possible sunshine duration [3].
The first parametric model was proposed by Angström [4] using the
relation between the measured value of sunshine duration and daily
potential sunshine duration under clear-sky conditions. Other re-
searchers, such as Swartman and Ogunlade [5] found an excellent
agreement with the combination of sunshine duration and relative
humidity to explain solar irradiation. The sunshine duration provides
information about the cloud cover and the power of solar irradiance
that is why models that use sunshine duration as independent variable
significantly improve the errors [6]. In this line and for this study, two
different models are developed using quadratic and cubic adjustments
of the later model. Besides, other models are proposed in the past to
estimate solar radiation with another more commonly measured
variables such as sunshine duration, temperature, rainfall and humid-
http://dx.doi.org/10.1016/j.rser.2017.08.033
Received 19 April 2017; Received in revised form 3 July 2017; Accepted 11 August 2017
⁎
Corresponding author.
E-mail address: byildirim@adanabtu.edu.tr (H.B. Yıldırım).
Renewable and Sustainable Energy Reviews xxx (xxxx) xxx–xxx
1364-0321/ © 2017 Elsevier Ltd. All rights reserved.
Please cite this article as: Yildirim, H.B., Renewable and Sustainable Energy Reviews (2017), http://dx.doi.org/10.1016/j.rser.2017.08.033