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28 NOVEMBER 2014
VINDKRAFTNET MEETING - COWI PRESENTATION 1
Uncertainty of Virtual Met Mast Measurements in DK
Torkel D. Løland & Jasmin Bejdić, 1905 Wind and M&E
Agenda
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VINDKRAFTNET MEETING - COWI PRESENTATION 2
› Introduction
› Method
› Measurement and validation uncertainties
› Transfer of uncertainty from validation mast positions to project sites
› Wind direction uncertainty
28 NOVEMBER 2014
VINDKRAFTNET MEETING - COWI PRESENTATION 3
Introduction
› Background
› Tendering of 350 MW offshore wind capacity at six nearshore sites.
› It has been decided by the Danish Energy Agency that no offshore met masts shall be installed.
› COWI contracted by Energinet.dk who is responsible for performing the pre-investigation for the six nearshore sites.
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VINDKRAFTNET MEETING - COWI PRESENTATION 4
Introduction
› Motivation
› Using virtual met masts from a mesoscale model instead of offshore met masts/lidars to provide site specific wind data with a corresponding uncertainty for wind resource estimations at six nearshore wind farms.
FINO 1, Alpha Ventus wind farm. Source: Martina Nolte.
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VINDKRAFTNET MEETING - COWI PRESENTATION 5
Introduction
› Project
"Six nearshore wind farms, study related to wind resource"
1) Validation of StormGeo's WRF based mesoscale model.
2) Estimation of wind resources and corresponding uncertainty at six nearshore wind farm sites by use of virtual met mast measurements.
3) Project Findings have been subject to a third party validation by DEWI
Method
28 NOVEMBER 2014
VINDKRAFTNET MEETING - COWI PRESENTATION 6
› Validation approach
Mesoscale model simulations performed over two calendar years with a spatial resolution of 1 km.
Simulation period: 01-09-2011 to 31-08-2013.
Method
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VINDKRAFTNET MEETING - COWI PRESENTATION 7
› Validation approach
Identifying relevant met masts for mesoscale model validation.
Gathering met mast data and available met mast information.
Filtering data for errors, tower shadow effect.
Data analysis and uncertainty estimation.
Method
28 NOVEMBER 2014
VINDKRAFTNET MEETING - COWI PRESENTATION 8
› Comparison of mesoscale data and met mast data at validation masts
Calculation of mean wind speed bias, comparison of frequency distributions, correlation analysis, wind rose comparison, wind shear comparison, comparison of Weibull A and k parameters.
Method
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VINDKRAFTNET MEETING - COWI PRESENTATION 9
› Example where mesoscale model performs very well.
Høvsøre
Mean wind speed bias: -0.1 m/s in 116 m. 1 % model underestimation compared to observed mean wind speed.
0 5 10 15 20 25 30 350
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Wind Speed [m/s]
Cum
ula
tive P
robabili
ty
Cumulative Density Function Høvsøre at 116 m
Observed
Modelled
0 5 10 15 20 25 30 350
5
10
15
20
25
30
35
0 5 10 15 20 25 30 350
5
10
15
20
25
30
35
Observed Wind Speed [m/s]
Modelle
d W
ind S
peed [
m/s
]
Quantile-Quantile Plot [0:0.05:100] - Høvsøre at 116 m
2 4 6 8 10 12 140
20
40
60
80
100
120
140
160
Wind Speed [m/s]
Heig
ht
[m]
Vertical Wind Profile - Modelled vs. Observed at Høvsøre
Modelled, = 0.203
Observed, = 0.182
10%
15%
20%
Wind Rose - Modelled 100m
WEST EAST
SOUTH
NORTH
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
10%
15%
20%
Wind Rose - Observed 100m
WEST EAST
SOUTH
NORTH
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
0 5 10 15 20 25 30 350
0.01
0.02
0.03
0.04
0.05
0.06
0.07
0.08
0.09
0.1
Wind speed [m/s]
Fre
quen
cy o
f oc
curr
ence
Modelled and measured Weibull distributions at Høvsøre at 116 m
A,obs = 11.39, k,obs = 2.4302
A,mod = 11.26, k,mod = 2.3716
Method
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VINDKRAFTNET MEETING - COWI PRESENTATION 10
› Example where mesoscale model has some trouble.
Risø
Mean wind speed bias: 0.5 m/s in 125 m.
5.9 % model overestimation compared to observed mean wind speed.
0 5 10 15 20 250
0.02
0.04
0.06
0.08
0.1
0.12
Wind speed [m/s]
Fre
quency o
f occurr
ence
Modelled and measured Weibull distributions at Risø at 125 m
A,obs = 9.07, k,obs = 2.4427
A,mod = 9.63, k,mod = 2.3401
0 5 10 15 20 25 300
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1
Wind Speed [m/s]
Cum
ula
tive P
robabili
ty
Cumulative Density Function Risø at 125 m
Observed
Modelled
0 5 10 15 20 250
5
10
15
20
25
Wind Speed - Observed [m/s]
Win
d S
peed -
Modelled [
m/s
]
Correlation - MOD versus OBS Risø at 125 m
y = 0.93579x +0.98574
R2 = 0.71383
Data points
1. order linear regression
0 5 10 15 20 25 300
5
10
15
20
25
30
Observed Wind Speed [m/s]
Modelle
d W
ind S
peed [
m/s
]
Quantile-Quantile Plot [0:0.05:100] - Risø at 125 m
2 4 6 8 10 12 140
20
40
60
80
100
120
140
160
Wind Speed [m/s]
Heig
ht
[m]
Vertical Wind Profile - Modelled vs. Observed at Risø
Modelled, = 0.318
Observed, = 0.240
10%
15%
20%
Wind Rose - Modelled 94m
WEST EAST
SOUTH
NORTH
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
10%
15%
20%
Wind Rose - Observed 94m
WEST EAST
SOUTH
NORTH
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
Method
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VINDKRAFTNET MEETING - COWI PRESENTATION 11
› Summary of results for validation masts
Mean wind speed bias within the combined uncertainty for most of the validation masts.
For all offshore and coastal met masts biases within or close to actual measurement uncertainty were found.
Validation masts
Wind speed
bias
[%]
Combined
Uncertainty
[%]
Comments
FINO 3 -1.9 3.4 3 km domain
Høvsøre -1.0 2.5 1 km domain
Østerild W 4.0 5.0 1 km domain
Stora Middelgrunden
(Jylland) -3.0 2.9 3 km domain
Stora Middelgrunden
(Sjælland) -1.6 2.9 3 km domain
FINO 2 -1.6 2.8 1 km domain
Risø 5.9 5.2 1 km domain
Omø 2.1 5.0 3 hour resolution,
1 km domain
Horns Rev M2 -0.7 5.0 3 hour resolution,
1 km domain
Quantifying uncertainties at validation positions
28 NOVEMBER 2014
VINDKRAFTNET MEETING - COWI PRESENTATION 12
› Quantifying measurement uncertainty at validation masts.
› Quantifying validation uncertainty at validation masts.
› Result: a combined uncertainty estimate at each validation mast position. "Uncertainty of virtual met mast data".
Quantifying uncertainties at validation positions
28 NOVEMBER 2014
VINDKRAFTNET MEETING - COWI PRESENTATION 13
› Measurement and validation uncertainty
Met Mast Measurement uncertainties [%] Joint
Measurement
Uncertainty
Anemometer Calibration Mast
configuration
Data handling
FINO 2 0.3 1.1 1.5 0 1.9
FINO 3 0.3 1.1 2.2 0 2.5
Stora
Middelgrund
0.3 1.1 1.6 0 1.9
Høvsøre 0.3 1.1 1.0 0 1.5
Risø 0.3 1.1 1.0 0 1.5
Østerild W 0.3 1.1 1.6 1 2.2
Omø 0.3 1.1 1.6 0 1.9
Horns Rev M2 1.1 3.1 1.0 0.5 3.5
Measurement uncertainties
Anemometer Calibration Measurement setup Data handling
Overspeeding caused by sensor dynamics
Steady state calibration Flow distortion from the mast Handling of data
Assymetry of flow incident on anemometer
Possible variation or change in calibration Flow distortion from the boom
Instrumentation system uncertainties including calibration and quantisation effects
Flow distortion from mounting clamps and other protrusions
Flow inclination effects on calibration
Validation uncertainties
Data period
Temporal resolution of data
Sector removal
General modelling uncertainty
Long-term correction uncertainty
Eksempler
The measurement and validation uncertainties are assumed independent from each other. A joint uncertainty can hence be found by taking the square root of the squared sums.
Combined uncertainty at validation mast = 𝑚𝑒𝑎𝑠𝑢𝑟𝑒𝑚𝑒𝑛𝑡2 + 𝑣𝑎𝑙𝑖𝑑𝑎𝑡𝑖𝑜𝑛2
If mean wind speed bias is lower or equal to the combined uncertainty, the combined uncertainty is assumed equivalent to the virtual met mast uncertainty.
Quantifying uncertainties at validation positions
28 NOVEMBER 2014
VINDKRAFTNET MEETING - COWI PRESENTATION 14
Measurement uncertainty components Uncertainty limits1
- Anemometer type Min Max FINO2 FINO3 Stora Middelgrund Høvsøre Risø Østerild W Omø Horns Rev M 2
Overspeeding caused by sensor dynamics 0.2 1 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.5
Assymetry of flow (shear) incident on anemometer 0.2 2 0.2 0.2 0.2 0.2 0.2 0.2 0.2 1
Joint anemometer uncertainty 0.3 2.2 0.3 0.3 0.3 0.3 0.3 0.3 0.3 1.1
- Calibration
Steady state calibration 1 5 1 1 1 1 1 1 1 2.5
Possible variation or change in calibration 0.2 3 0.2 0.2 0.2 0.2 0.2 0.2 0.2 1.5
Instrumentation system uncertainties including calibration and quantisation effects 0.2 1 0.2 0.2 0.2 0.2 0.2 0.2 0.2 0.5
Flow inclination effect on calibration 0.2 1.5 0.2 0.2 0.2 0.2 0.2 0.2 0.2 1
Joint calibration uncertainty 1.1 6.1 1.1 1.1 1.1 1.1 1.1 1.1 1.1 3.1
- Measurement set-up
Flow distortion from the mast 0.5 2 1.5 2 1.5 1 1 1.5 1.5 1
Flow distortion from the boom (no boom/top tube = 0, perfect boom = 0.5) 0 2 0 1 0.5 0 0 0.5 0.5 0
Flow distortion from mounting clamps and other protrusions 0.1 2 0.1 0.1 0.1 0.1 0.1 0.1 0.1 0.1
Joint measurement set-up uncertainty 0.5 3.5 1.5 2.2 1.6 1.0 1.0 1.6 1.6 1.0
- Data handling 0 5 0 0 0 0 0 1 0 0.5
Joint data handling uncertainty 0 5 0 0 0 0 0 1 0 0.5
Combined measurement uncertainty 1.2 8.9 1.9 2.5 1.9 1.5 1.5 2.2 1.9 3.5
› Measurement uncertainties
1) Guidelines and recommendations from "Recommended practices for wind turbine testing – 11. Wind speed measurement and use of cup anemometry. 1. Edition"
Quantifying uncertainties at validation positions
28 NOVEMBER 2014
VINDKRAFTNET MEETING - COWI PRESENTATION 15
› Validation uncertainties
Met Mast
Validation uncertainties [%]
Joint Validation
Uncertainty
Source data period and WRF data temporal
resolution
Sector removal
General modelling
uncertainty
Long-term correction
uncertainty
FINO 2 0 0.4 2 0 2
FINO 3 0 1.1 2 0 2.3
Stora Middelgrund
0 0.7 2 0 2.1
Høvsøre 0 0.4 2 0 2
Risø 0 0.5 5 0 5
Østerild W 4 0.2 2 0 4.5
Omø 0 2.3 4 0 4.7
Horns Rev M2
1 1.7 2 2.2 3.6
Quantifying uncertainties at validation positions
28 NOVEMBER 2014
VINDKRAFTNET MEETING - COWI PRESENTATION 16
Validation masts
Wind speed
bias
[%]
Combined
Uncertainty
[%]
Comments
FINO 3 -1.9 3.4 3 km domain
Høvsøre -1.0 2.5 1 km domain
Østerild W 4.0 5.0 1 km domain
Stora Middelgrunden
(Jylland) -3.0 2.9 3 km domain
Stora Middelgrunden
(Sjælland) -1.6 2.9 3 km domain
FINO 2 -1.6 2.8 1 km domain
Risø 5.9 5.2 1 km domain
Omø 2.1 5.0 3 hour resolution,
1 km domain
Horns Rev M2 -0.7 5.0 3 hour resolution,
1 km domain
Transferring validation mast uncertainty to project sites
28 NOVEMBER 2014
VINDKRAFTNET MEETING - COWI PRESENTATION 17
Transferring validation mast uncertainty to project sites
28 NOVEMBER 2014
VINDKRAFTNET MEETING - COWI PRESENTATION 18
› Methodology
› Uncertainty contribution from every validation mast
› Masts of higher relevance is given a higher weighting
› Weighting according to:
1. Mast height
2. Terrain type
3. Source data length and temporal resolution
4. Distance to project site
Transferring validation mast uncertainty to project sites
28 NOVEMBER 2014
VINDKRAFTNET MEETING - COWI PRESENTATION 19
› Qualitative assessment
› Base uncertainty obtained from weighting process was subject to a qualitative assessment and scaled according to the project site location.
The transferred uncertainty represents the uncertainty of the generated site-specific wind data.
Uncertainty of wind direction
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VINDKRAFTNET MEETING - COWI PRESENTATION 20
› Practical example
"Imaginary" wind farm at the FINO2 position
Fixed layout with 32 WTGs (132 MW)
Applying ±10° and ±20° offset to measured wind direction
Uncertainty of wind direction
28 NOVEMBER 2014
VINDKRAFTNET MEETING - COWI PRESENTATION 21
› Practical example
› 5 000 000 kWh "lost" per year.
WD Offset [°]
AEP [MWh]
Park Efficiency [%]
Wake Loss [%]
0 739455.1 94.6 5.4
+10 735976.0 94.4 5.6
+20 734434.5 94.2 5.8
-10 737746.0 94.6 5.4
-20 738555.3 94.7 5.3
Uncertainty of wind direction
28 NOVEMBER 2014
VINDKRAFTNET MEETING - COWI PRESENTATION 22
10%
15%
20%
Wind Rose - Modelled 100m
WEST EAST
SOUTH
NORTH
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
10%
15%
20%
Wind Rose - Observed 100m
WEST EAST
SOUTH
NORTH
0 - 5
5 - 10
10 - 15
15 - 20
20 - 25
25 - 30
30 - 35
Wind Rose – DK07