Graphical Abstract Figure
Graphical Abstract Figure
Close modal

Abstract

A detailed research study was performed on the annual energy received by a fixed-tilt solar collector. A new clear-sky model of solar radiation was developed by combining existing clear-sky models with a unique algorithm. This model was then used to perform tilt angle optimizations with two different objectives. The first objective is to achieve the maximum annual solar energy received by a solar panel, while the second is to balance the energy received so that it is more uniform over the course of a year. Each of these objectives has differing optimum tilt values, depending on the location and usage of a solar collectorsystem. The novelty of this investigation is the use of the aforementioned solar model for multiple optimizations for these two different objectives, which results in two different optimum tilt angles that are in turn different from the widely accepted rule-of-thumb that recommends an angle that is equal to the latitude. The solar radiation results obtained with the model used herein were experimentally confirmed through comparison with measured weather data for a number of locations with different sky-clearness indexes as well as compared with other studies found in the literature. A major contribution of this study is the plots and tables showing optimum tilt angles as estimated by the model as well as with empirical data. By selecting the appropriate tilt angle, a designer can now decide to either maximize annual energy received or else balance energy delivery over the year.

References

1.
Naraghi
,
M. H.
,
2010
, “
Optimum Solar Panel Tilt Angle for Maximum Annual Irradiation
,”
Proceedings of the ASME International Mechanical Engineering Congress and Exposition
,
Lake Buena Vista, FL
,
Nov. 13–19
, pp.
211
220
.
2.
ASHRAE
,
ASHRAE Handbook 2017 Fundamentals
,
ASHRAE
,
Atlanta, GA
.
3.
Gharakhani Siraki
,
A.
, and
Pillay
,
P.
,
2012
, “
Study of Optimum Tilt Angles for Solar Panels in Different Latitudes for Urban Applications
,”
Sol. Energy
,
86
(
6
), pp.
1920
1928
.
4.
Duffie
,
J. A.
, and
Beckman
,
W. A.
,
2013
,
Solar Engineering of Thermal Processes
,
John Wiley & Sons, Inc
,
Hoboken, NJ
.
5.
Darhmaoui
,
H.
, and
Lahjouji
,
D.
,
2013
, “
Latitude Based Model for Tilt Angle Optimization for Solar Collectors in the Mediterranean Region
,”
Energy Procedia
,
42
, pp.
426
435
.
6.
Stanciu
,
C.
, and
Stanciu
,
D.
,
2014
, “
Optimum Tilt Angle for Flat Plate Collectors All Over the World – A Declination Dependence Formula and Comparisons of Three Solar Radiation Models
,”
Energy Convers. Manage.
,
81
, pp.
133
143
.
7.
Zang
,
H.
,
Guo
,
M.
,
Wei
,
Z.
, and
Sun
,
G.
,
2016
, “
Determination of the Optimal Tilt Angle of Solar Collectors for Different Climates of China
,”
Sustainability
,
8
(
7
), p.
654
.
8.
Jacobson
,
M. Z.
, and
Jadhav
,
V.
,
2018
, “
World Estimates of PV Optimal Tilt Angles and Ratios of Sunlight Incident Upon Tilted and Tracked PV Panels Relative to Horizontal Panels
,”
Sol. Energy
,
169
, pp.
55
66
.
9.
Danandeh
,
M. A.
,
Mousavi
,
G.
, and
M
,
S.
,
September 2018
, “
Solar Irradiance Estimation Models and Optimum Tilt Angle Approaches: A Comparative Study
,”
Renewable Sustainable Energy Rev.
,
92
, pp.
319
330
.
10.
Landau
,
C. R.
“Optimum Tilt of Solar Panels.” https://www.solarpaneltilt.com/, Accessed May 15, 2020.
11.
Mehleri
,
E. D.
,
Zervas
,
P. L.
,
Sarimveis
,
H.
,
Palyvos
,
J. A.
, and
Markatos
,
N. C.
,
2010
, “
Determination of the Optimal Tilt Angle and Orientation for Solar Photovoltaic Arrays
,”
Renewable Energy
,
35
(
11
), pp.
2468
2475
.
12.
Liu
,
B. Y. H.
, and
Jordan
,
R. C.
,
1961
, “
Daily Insolation on Surfaces Tilted Towards Equator
,”
ASHRAE Trans.
,
67
, pp.
526
541
.
13.
Goswami
,
D. Y.
,
2015
,
Principles of Solar Engineering
, 3rd ed,
Taylor & Francis
,
Boca Raton, FL
.
14.
Hottel
,
H. C.
,
1976
, “
A Simple Model for Estimating the Transmittance of Direct Solar Radiation Through Clear Atmospheres
,”
Sol. Energy
,
18
(
2
), pp.
129
134
.
15.
Liu
,
B. Y. H.
, and
Jordan
,
R. C.
,
1960
, “
The Interrelationship and Characteristics Distribution of Direct, Diffuse and Total Solar Radiation
,”
Sol. Energy
,
4
(
3
), pp.
1
19
.
16.
Gueymard
,
C. A.
,
2009
, “
Direct and Indirect Uncertainties in the Prediction of Tilted Irradiance for Solar Engineering Applications
,”
Sol. Energy
,
83
(
3
), pp.
432
444
.
You do not currently have access to this content.