September, 2002 PHOENICS Conf Moscow1 Modeling Performance of WECS Installed in Residential Towers...
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![Page 1: September, 2002 PHOENICS Conf Moscow1 Modeling Performance of WECS Installed in Residential Towers M.A. Serag-Eldin American University in Cairo.](https://reader035.fdocuments.in/reader035/viewer/2022062511/551622b2550346c6758b47b9/html5/thumbnails/1.jpg)
September, 2002 PHOENICS Conf Moscow 1
Modeling Performance of WECS Installed in Residential Towers
M.A. Serag-EldinAmerican University in Cairo
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September, 2002 PHOENICS Conf Moscow 2
INTRODUCTION-I
It has beenproposed toexploit highbuilding structures in windy areas toinstall WECS
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September, 2002 PHOENICS Conf Moscow 3
INTRODUCTION-II
Advantages: Saving in WECS tower cost Saving of land required for wind-
farms Saving of energy transmission costs Possibility of increasing wind speed
due to funneling effect
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September, 2002 PHOENICS Conf Moscow 4
OBJECTIVES
Present a computer model for WECS confined amidst building blocks.
Reveal how the model is implemented in PHOENICS
Demonstrate the application of the model , and reveal its use as a design tool
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September, 2002 PHOENICS Conf Moscow 5
Modeling Wind Flow
Domain assumed entirely in constant stress layer, with neutral stability
k- model of turbulence governing equations expressing mass
conservation, momentum balance in 3D, transport of k and
eqns of form: . ( V ) = . ( ) + S
where any dependent variable , V = u i + v j + w k
and S are the diffusion coefficient and source term, respectively , for
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September, 2002 PHOENICS Conf Moscow 6
Source term expressions
S
u - p/x+(eu/x)/x+(ev/x)/y+(ew/x)/z
v - p/y+(eu/y)/x+(ev/y)/y+(ew/y)/z
w - p/z+(eu/z)/x+(ev/z)/y+(ew/z)/z
k Gk* -
C1 /k.Gk* - C2 2/k
*Gk = t {2[(u/x)2 + (v/y)2 +(w/z)2] + (u/y+v/x)2
+ ( u/z+w/x)2 + (v/z+w/y)2 }, t C k2 /
standard (k-) model coefficients
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September, 2002 PHOENICS Conf Moscow 7
WECS model & BCs
WECS characteristics displayed as : power/thrust .vs.w thrust effect introduced implicitly through w source-
term Inflow B.C.s:
Undisturbed Atmospheric Flow, i.e.• u = v = 0
• w = 1 / . (s/)1/2 ln(y/yo)
• k= s/( C1/2 )
• =(s/)3/2/y
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September, 2002 PHOENICS Conf Moscow 8
Boundary-Conditions-II
Top boundary: undisturbed atmospheric flow. Outflow boundary: constant press, zero gradients Ground boundary:
us = vs = ws = 0
s = [/ln(y/yo)]2 (w2 + u2)
k = s/(C1/2)
= (s/)3/2 / y Side boundaries: symmetry boundary and undisturbed
atmospheric flow
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September, 2002 PHOENICS Conf Moscow 9
CASE I : Rectangular Blocks w/o Bottom Pass
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September, 2002 PHOENICS Conf Moscow 10
TOP VIEW OF BUILDING
Wind direction
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September, 2002 PHOENICS Conf Moscow 11
Cross-sectional elevation
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September, 2002 PHOENICS Conf Moscow 12
Grid at WECS k-plane
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September, 2002 PHOENICS Conf Moscow 13
Grid Enlargement
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September, 2002 PHOENICS Conf Moscow 14
Grid at Cowl Entrance
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September, 2002 PHOENICS Conf Moscow 15
Grid in Hub j-plane
Wind
direction
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September, 2002 PHOENICS Conf Moscow 16
Grid in Symmetry Plane
Wind
direction
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September, 2002 PHOENICS Conf Moscow 17
Flow in Symmetry Plane
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September, 2002 PHOENICS Conf Moscow 18
Enlargement of Flow
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September, 2002 PHOENICS Conf Moscow 19
Pressure in symmetry plane
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September, 2002 PHOENICS Conf Moscow 20
Flow in Hub1 j-plane
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September, 2002 PHOENICS Conf Moscow 21
Pressure in Hub Plane
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September, 2002 PHOENICS Conf Moscow 22
Case II: Open Pass
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September, 2002 PHOENICS Conf Moscow 23
Flow in Symmetry Plane
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September, 2002 PHOENICS Conf Moscow 24
Pressure in symmetry plane
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September, 2002 PHOENICS Conf Moscow 25
Case III: convergent-divergent blocks
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September, 2002 PHOENICS Conf Moscow 26
Flow in Hub 1 j-plane
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September, 2002 PHOENICS Conf Moscow 27
Flow in Hub 3 j-plane
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September, 2002 PHOENICS Conf Moscow 28
Flow in symmetry plane
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September, 2002 PHOENICS Conf Moscow 29
Pressure in Hub1 j-plane
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September, 2002 PHOENICS Conf Moscow 30
Case IV: Turbine 2 out of service
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September, 2002 PHOENICS Conf Moscow 31
Pressure distribution
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September, 2002 PHOENICS Conf Moscow 32
Case V: Roof Turbine
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September, 2002 PHOENICS Conf Moscow 33
Flow in symmetry plane
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September, 2002 PHOENICS Conf Moscow 34
Pressure in symmetry plane
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September, 2002 PHOENICS Conf Moscow 35
Pressure in Turbines’ plane
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September, 2002 PHOENICS Conf Moscow 36
Summary of Results for 5 Cases
Wind Turbine 1 Wind Turbine 2 Wind Turbine 3Case No. &Description V(m/s) P (KW) V(m/s) P (KW) V(m/s) P (KW)
TotalPower
I (R,NP) 6.179 45.291 6.654 50.409 6.881 52.856 148.556II(R,P) 6.442 48.125 6.615 49.989 6.819 52.188 150.302III(C/D,P) 6.298 46.573 6.977 53.890 7.653 60.628 161.091IV( III,N2T) 6.407 47.748 - - 8.002 64.055 111.803V (III,RT) 5.8 41.290 6.583 49.644 6.071 44.127 135.061
Wind Turbine 1 Wind Turbine 2 Wind Turbine 3Case No. &
Description V(m/s) P (KW) V(m/s) P (KW) V(m/s) P (KW)
Total
Power
I (R,NP) 6.179 45.291 6.654 50.409 6.881 52.856 148.556
II(R,P) 6.442 48.125 6.615 49.989 6.819 52.188 150.302
III(C/D,P) 6.298 46.573 6.977 53.890 7.653 60.628 161.091
IV( III,N2T) 6.407 47.748 - - 8.002 64.055 111.803
V (III,RT) 5.8 41.290 6.583 49.644 6.071 44.127 135.061
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September, 2002 PHOENICS Conf Moscow 37
Summary & Conclusion
The predictions revealed that there is a gain in speed for all cases which varied from case to case, albeit not very spectacular; best results require careful design of building shape, however this must be developed in conjunction with architectural requirements
the number of variables that need to be investigated are enormous, including: various building shapes and dimensions, HAWT character-istics and location, wind speed and direction, upstream wind profile and presence of nearby flow obstacles; all of which may be readily investigated with the aid of the present model .