Momentum models or streamtube models represent one of the fundamental approaches in modeling the aerodynamics of straight bladed vertical axis wind turbine (SB-VAWT) of Darrieus type. They are based on momentum (actuator disk) theory and widely used in performance evaluation of VAWTs. In this short review, the authors have strived to compile the basic momentum models that have been widely assumed in the literature for design and performance estimation of SB-VAWTs of Darrieus type. A comprehensive demonstration of the formulation needed for the implantation of these models is also proposed. Three streamtube models are investigated in this paper, namely, the single streamtube (SST), the multiple streamtube (MST), and the double multiple streamtube (DMST) models. Each of these models has it merits and demerits which are also thoroughly discussed in this review.

References

References
1.
Ackermann
,
T.
, and
Söder
,
L.
,
2000
, “
Wind Energy Technology and Current Status: A Review
,”
Renewable Sustainable Energy Rev.
,
4
(
4
), pp.
315
374
.
2.
Herbert
,
G. J.
,
Iniyan
,
S.
,
Sreevalsan
,
E.
, and
Rajapandian
,
S.
,
2007
, “
A Review of Wind Energy Technologies
,”
Renewable Sustainable Energy Rev.
,
11
(
6
), pp.
1117
1145
.
3.
Thresher
,
R. W.
,
Robinson
,
M. C.
, and
Veers
,
P. S.
,
2008
, “
Wind Energy Technology: Current Status and R&D Future
,”
National Renewable Energy Laboratory
, Berkeley, CA, Report No.
NREL/CP-500-43374
.https://www.nrel.gov/docs/fy08osti/43374.pdf
4.
Jin
,
X.
,
Zhao
,
G.
,
Gao
,
K.
, and
Ju
,
W.
,
2015
, “
Darrieus Vertical Axis Wind Turbine: Basic Research Methods
,”
Renewable Sustainable Energy Rev.
,
42
, pp.
212
225
.
5.
Amano
,
R. S.
,
2017
, “
Review of Wind Turbine Research in 21st Century
,”
ASME J. Energy Resour. Technol.
,
139
(
5
), p.
050801
.
6.
Schaffarczyk
,
A.
,
2014
, “
Types of Wind Turbines
,”
Introduction to Wind Turbine Aerodynamics
,
Springer
,
Berlin
, pp.
7
20
.
7.
Bianchi
,
F. D.
,
Mantz
,
R. J.
, and
De Battista
,
H.
,
2007
,
The Wind and Wind Turbines
,
Springer
,
London
.
8.
Okpue
,
A. S.
,
2011
, “
Aerodynamic Analysis of Vertical and Horizontal Axis Wind Turbines
,” Ph.D. thesis, Michigan State University, East Lansing, MI.
9.
Islam
,
M.
,
Ting
,
D.
, and
Fartaj
,
A.
,
2008
, “
Aerodynamic Models for Darrieus-Type Straight-Bladed Vertical Axis Wind Turbines
,”
Renewable Sustainable Energy Rev.
,
12
(
4
), pp.
1087
1109
. May
10.
Alom
,
N.
, and
Saha
,
U. K.
,
2018
, “
Four Decades of Research Into the Augmentation Techniques of Savonius Wind Turbine Rotor
,”
ASME J. Energy Resour. Technol.
,
140
(
5
), p.
050801
.
11.
Mari
,
M.
,
Venturini
,
M.
, and
Beyene
,
A.
,
2017
, “
A Novel Geometry for Vertical Axis Wind Turbines Based on the Savonius Concept
,”
ASME J. Energy Resour. Technol.
,
139
(
6
), p.
061202
.
12.
Jackson
,
R. S.
, and
Amano
,
R.
,
2017
, “
Experimental Study and Simulation of a Small-Scale Horizontal-Axis Wind Turbine
,”
ASME J. Energy Resour. Technol.
,
139
(
5
), p.
051207
.
13.
Mishraa
,
N.
,
Guptaa
,
A. S.
,
Dawara
,
J.
,
Kumara
,
A.
, and
Mitraa
,
S.
,
2018
, “
Numerical and Experimental Study on Performance Enhancement of Darrieus Vertical Axis Wind Turbine With Wingtip Devices
,”
ASME. J. Energy Resour. Technol.
,
140
(12), p. 121201.
14.
Hyvärinen
,
A.
, and
Segalini
,
A.
,
2017
, “
Effects From Complex Terrain on Wind-Turbine Performance
,”
ASME J. Energy Resour. Technol.
,
139
(
5
), p.
051205
.
15.
Persico
,
G.
,
Dossena
,
V.
,
Paradiso
,
B.
,
Battisti
,
L.
,
Brighenti
,
A.
, and
Benini
,
E.
,
2017
, “
Time-Resolved Experimental Characterization of the Wakes Shed by H-Shaped and Troposkien Vertical Axis Wind Turbines
,”
ASME J. Energy Resour. Technol.
,
139
(
3
), p.
031203
.
16.
Khanjari
,
A.
,
Sarreshtehdari
,
A.
, and
Mahmoodi
,
E.
,
2017
, “
Modeling of Energy and Exergy Efficiencies of a Wind Turbine Based on the Blade Element Momentum Theory Under Different Roughness Intensities
,”
ASME J. Energy Resour. Technol.
,
139
(
2
), p.
022005
.
17.
Regan
,
T.
,
Canturk
,
R.
,
Slavkovsky
,
E.
,
Niezrecki
,
C.
, and
Inalpolat
,
M.
,
2016
, “
Wind Turbine Blade Damage Detection Using Various Machine Learning Algorithms
,”
ASME
Paper No. DETC2016-59686.
18.
Baqersad
,
J.
,
Niezrecki
,
C.
, and
Avitabile
,
P.
,
2014
, “
Predicting Full-Field Dynamic Strain on a Three-Bladed Wind Turbine Using Three Dimensional Point Tracking and Expansion Techniques
,”
Proc. SPIE
,
9061
, p.90612P.http://adsabs.harvard.edu/abs/2014SPIE.9061E..2PB
19.
Niezrecki
,
C.
,
Avitabile, P.
,
Chen, J.
,
Sherwood, J.
,
Lundstrom, T.
,
LeBlanc, B.
,
Hughes, S.
,
Desmond, M.
,
Beattie, A.
,
Rumsey, M.
,
Klute, M. S.
,
Pedrazzani, R.
,
Werlink, R.
, and
Newman, J.
,
2014
, “
Inspection and Monitoring of Wind Turbine Blade-Embedded Wave Defects During Fatigue Testing
,”
Struct. Health Monit.
,
13
(
6
), pp.
629
643
.
20.
Carr
,
J.
,
Baqersad
,
J.
,
Niezrecki
,
C.
, and
Avitabile
,
P.
,
2016
, “
Full-Field Dynamic Strain on Wind Turbine Blade Using Digital Image Correlation Techniques and Limited Sets of Measured Data From Photogrammetric Targets
,”
Exp. Tech.
,
40
(
2
), pp.
819
831
.
21.
Poozesh
,
P.
,
Aizawa
,
K.
,
Niezrecki
,
C.
,
Baqersad
,
J.
,
Inalpolat
,
M.
, and
Heilmann
,
G.
,
2017
, “
Structural Health Monitoring of Wind Turbine Blades Using Acoustic Microphone Array
,”
Struct. Health Monit.
,
16
(
4
), pp.
471
485
.
22.
Manwell
,
J.
,
McGowan
,
J.
, and
Rogers
,
A. L.
,
2002
, “
Aerodynamics of Wind Turbines
,”
Wiley, Hoboken, NJ
, pp.
83
140
.
23.
Biadgo
,
M. A.
,
Simonović
,
A.
,
Komarov
,
D.
, and
Stupar
,
S.
,
2013
, “
Numerical and Analytical Investigation of Vertical Axis Wind Turbine
,”
FME Trans.
,
41
(
1
), pp.
49
58
.
24.
Hansen
,
M. O.
,
2015
,
Aerodynamics of Wind Turbines
,
Routledge
,
London
.
25.
Paraschivoiu
,
I.
,
2002
,
Wind Turbine Design: With Emphasis on Darrieus Concept
, Polytechnic International Press.
26.
Mohammed
,
A. A.
, and
Mustafa
,
V.
,
2013
, “
An Easily Programmable Analysis Approach for Vertical Axis Wind Turbines
,”
Eighth Asia-Pacific Conference on Wind Engineering
, Chennai, India, Dec. 10–14.
27.
Templin
,
R.
,
1974
,
Aerodynamic Performance Theory for the NRC Vertical-Axis Wind Turbine
,
National Aeronautical Establishment
,
Ottawa, ON, Canada
.
28.
Noll
,
R. B.
, and
Ham
,
N. D.
,
1980
, “
Analytical Evaluation of the Aerodynamic Performance of a High-Reliability Vertical-Axis Wind Turbine
,”
American Wind Energy Association National Conference
, Pittsburgh, PA, June 8–11, pp.
106
113
.
29.
Patel
,
M. V.
, and
Chaudhari
,
M. H.
,
2013
, “
Performance Prediction of H-Type Darrieus Turbine by Single Stream Tube Model for Hydro Dynamic Application
,”
Int. J. Eng. Res. Technol.
,
2
(3), p. IJERTV2IS3540.https://www.ijert.org/performance-prediction-of-h-type-darrieus-turbine-by-single-stream-tube-model-for-hydro-dynamic-application
30.
Patel
,
M. B.
, and
Kevat
,
V.
,
2013
, “
Performance Prediction of Straight Bladed Darrieus Wind Turbine by Single Streamtube Model
,”
Int. J. Adv. Eng. Technol.
,
14
, p.
2
.http://www.technicaljournalsonline.com/ijeat/VOL%20IV/IJAET%20VOL%20IV%20ISSUE%20II%20APRIL%20JUNE%202013/Vol%20IV%20Issue%20II%20Article%2022.pdf
31.
Lapin
,
E.
,
1975
, “
Theoretical Performance of Vertical Axis Wind Turbines
,” American Society of Mechanical Engineers, Winter Annual Meeting, Houston, TX, Nov. 30–Dec. 4, p. 11.
32.
Goude
,
A.
,
2012
, “
Fluid Mechanics of Vertical Axis Turbines: Simulations and Model Development
,” Doctoral thesis, Acta Universitatis Upsaliensis, Uppsala, Sweden.
33.
Wilson
,
R. E.
, and
Lissaman
,
P. B.
,
1974
,
Applied Aerodynamics of Wind Power Machines
,
Oregon State University
,
Corvallis, OR
.
34.
Strickland
,
J. H.
,
1975
, “
Darrieus Turbine: A Performance Prediction Model Using Multiple Streamtubes
,” Sandia Labs., Albuquerque, NM.
35.
Sanyer
,
W.
,
2011
, “
The Development of a Wind Turbine for Residential Use
,” Master's thesis, North Carolina State University, Raleigh, NC.
36.
Tai
,
F.-Z.
,
Kang
,
K.-W.
,
Jang
,
M.-H.
,
Woo
,
Y.-J.
, and
Lee
,
J.-H.
,
2013
, “
Study on the Analysis Method for the Vertical-Axis Wind Turbines Having Darrieus Blades
,”
Renewable Energy
,
54
, pp.
26
31
.
37.
Brusca
,
S.
,
Lanzafame
,
R.
, and
Messina
,
M.
,
2014
, “
Design of a Vertical-Axis Wind Turbine: How the Aspect Ratio Affects the Turbine's Performance
,”
Int. J. Energy Environ. Eng.
,
5
(
4
), pp.
333
340
.
38.
Chen
,
J. R.
,
Zhao
,
Z. Z.
, and
Li
,
T.
,
2014
, “
Characteristic Analysis of Three-Bladed Darrieus Wind Turbine Based on the Multiple Streamtube Model
,”
Appl. Mech. Mater.
,
651
, pp.
663
667
.
39.
Paraschivoiu
,
I.
,
1981
, “
Double-Multiple Streamtube Model for Darrieus in Turbines
,” Second DOE/NASA Wind Turbines Dynamics Workshop, Cleveland, OH, Feb., Paper No. NASA CP-2186.
40.
Paraschivoiu
,
I.
, and
Delclaux
,
F.
,
1983
, “
Double Multiple Streamtube Model With Recent Improvements
,”
J. Energy
,
7
(
3
), pp.
250
255
.
41.
Sharpe, D.
, 1990, “
Wind turbine aerodynamics
,”
Wind Energy Conversion Systems
, L. Freris, ed., Prentice Hall, New York, pp. 54–117.
42.
Cooper
,
P.
,
2010
, “
Development and Analysis of Vertical-Axis Wind Turbines
,”
WIT Transactions on State of the Art in Science and Engineering
,
1st ed.
, Vol.
1
,
WIT Press
,
Southampton, UK
, pp.
277
302
.
43.
Wendler
,
R.
,
Calderón-Muñoz
,
W. R.
, and
LeBoeuf
,
R.
,
2016
, “
Energy-Based Iteration Scheme of the Double-Multiple Streamtube Model in Vertical-Axis Wind Turbines
,”
Acta Mech.
,
227
(
11
), pp.
3295
3303
.
44.
Akbar
,
M. A.
, and
Mustafa
,
V.
,
2016
, “
A New Approach for Optimization of Vertical Axis Wind Turbines
,”
J. Wind Eng. Ind. Aerodyn.
,
153
, pp.
34
45
.
45.
Keinan
,
M.
,
2012
, “
A Modified Streamtube Model for Vertical Axis Wind Turbines
,”
Wind Eng.
,
36
(
2
), pp.
145
180
.
46.
Brinck
,
D.
, and
Jeremejeff
,
N.
,
2013
, “
The Development of a Vertical Axis Tidal Current Turbine
,”
Master's thesis
, KTH School of Industrial Engineering and Management, Stockholm, Sweden.https://www.diva-portal.org/smash/get/diva2:666305/FULLTEXT01.pdf
47.
Saeidi
,
D.
,
Sedaghat
,
A.
,
Alamdari
,
P.
, and
Alemrajabi
,
A. A.
,
2013
, “
Aerodynamic Design and Economical Evaluation of Site Specific Small Vertical Axis Wind Turbines
,”
Appl. Energy
,
101
, pp.
765
775
.
48.
Camporeale
,
S. M.
, and
Magi
,
V.
,
2000
, “
Streamtube Model for Analysis of Vertical Axis Variable Pitch Turbine for Marine Currents Energy Conversion
,”
Energy Convers. Manag.
,
41
(
16
), pp.
1811
1827
.
49.
Soraghan
,
C. E.
,
Leithead
,
W. E.
,
Feuchtwang
,
J.
, and
Yue
,
H.
,
2013
, “
Double Multiple Streamtube Model for Variable Pitch Vertical Axis Wind Turbines
,”
AIAA
Paper No. 2013-2802.
You do not currently have access to this content.