shunt elements (6): at kvrated, mvar rated positive = capacitor, mw losses harmonic filter, 20 mvar,...
TRANSCRIPT
Attachment 2 to BSCP32/4.1 Application for a Metering Dispensation
London Array Offshore Transmission Losses EJ/17th August 2011rev1 Relied Upon Information clarified. Revised cable lengths. NGET 400 kV recordings incorporated
The London Array has been designed and built to offshore grid connection standards, with settlement metering offshore, at its 33 kV Grid Entry Points.
During an initial operational period, prior to the relevant Transmission Licensee having adopted its offshore transmission asset, the wind farm will however be operated as a generator connected directly to the onshore 400 kV Interface Point, at which point no meters have been installed. A formula for calculating onshore power as a function of offshore meter reading is hence needed for that period.
The purpose of rhis Mathcad spreadsheet is to provide a such formula. By detailed loadflow, it models the offshore transmission system of one of the four London Array systems, from and including the offshore Grid Entry Point to and including the onshore Interface Point. Independent variables are power to the Grid Entry Point and the 400 kV voltage, so as to alow for varying Mvar loading; the voltage component is averaged out using a statistical approach.
The four systems are virtually identical. Hence, only one formula applicable to any of them is developed. Average component data and cable lengths are used.
150 kV
33 kV
SGT1A
GT1
HPPP1
SVC
MSR
Grid Entry Point
EXPO
RT C
ABLE
1
harmonicfilter
NGET1
2
3 (fictitious, y-equivalent)
4
5
6
7
8
9
to SGT1B
Single systemto which the
formula applies
MWh MWh
Blue: Node numbersapplied in the calculations
ResultAt a sum offshore meter readings Poffshore, the equivalent onshore power at 400 kV is:
Ponshore Poffshore( ) Poffshore 0.4334 2.6705 10 4 Poffshore2
[MWh per ½ h], MWh per ½ h]
Both Ponshore and Poffshore are in [MWh per ½ h].
Page 1 of 29
Relied upon information
Export cable lengths: VSGM-LAL-RP-3007_D - Export Cable Route Engineering_Report1.Export cable impedance and capacitance parameters: 27398-ETX-RT-21693_R3_Design_Report_-_Export_Cables2.Transformer losses: IEC routine test reports test certificate D417 120, test certificate D417 121, Test Report 01210, Test Report 1410, Test Report 3.180-2 (SGT 2A), Test Report 180-4 (SGT 2B)SVC: Email of Siemens Erlangen 110304_Losses_to_STDL with attached spreadsheet4.Onshore substation auxiliary supply: STDL G85221-W0047-V1-N001_N15.Harmonic filters: emai lJohn Finn 26th May 2011 and attachments Siemens Final Electric Test Report RE 059-11 and TC-92100871-010000 6.400 kV cable length: STDL data submission of 28.02.2011 for NGET User Data File, sheet LA Part 3 Section 2.1 Branch Data v2: LAL 1: 0.08 7.km;LAL 2 0.13 km400 kV voltage recordings, for assessing SVC losses: email Richard Lavender, NGET, 16th Aug 2011, with attached Volts Apr 11.zip 8.
Page 2 of 29
TempCorr AverageCableTemperature( )1 Cu AverageCableTemperature 20( )
1 Cu 90 20( )
Cu 0.00393
TempCorr is a factor for cable resistance temperature dependency:
Cable data shall be corrected for conductor temperature below 90 oC as cables will not be at full load permanently
Each export cables has increased cross sections at both ends, each such section is 3000 m long.
Cables
1
5
6
7
2
6
7
8
0.042
0.058
0.064
0.057
0.104
0.1119
0.124
0.12
0.19
0.2084
0.1903
0.2084
80 13022
3000
mean ExportCableLengths( ) 2 3000( ) 1 dx( )
3000
Each 400 kV cable is common to two wind farm systems. Modelled by division through 2, equivalent average cable per system
Data table withcable constants (2):
from-to-r-x-c /km-length [ohm @ 90 oC, F, m]
factor for sensitivity analysis, see laterdx 0%
Data uncertainty is >1%; average is hence deemed representative for all four circuits. Avoid different correction formulae.
max ExportCableLengths( ) min ExportCableLengths( )mean ExportCableLengths( ) 2
0.42%ExportCableLengths
53980
53973
53531
53623
Export cable lengthsof the four circuits, m:
Cables are almost equally long:Cable data (1):
Calculations
Page 3 of 29
The average cable temperature over a year will depend on the average ambient temperature and the average load as follows,conservatively assuming the cables to be designed to their limit conductor temperature 90 oC at maximum generation:
AverageCableTemperature90 AmbientTemperature( ) AveragePower2
TempCorr AverageCableTemperature( )AmbientTemperature=
Now find the annual average power from the wind turbine power curve and the statistical wind distribution:
Wind turbine power curve, [email protected] kV generator terminals, 1st row wind m/s 2nd relative power:
Pcrv3
0
4
0.022
5
0.066
6
0.132
7
0.223
8
0.343
9
0.492
10
0.661
11
0.819
12
0.926
13
0.976
14
0.994
15
0.998
16
1
17
1
18
1
19
1
20
1
21
1
22
1
23
1
24
1
25
1
T
-interpolate:pTurb v( ) 0 v Pcrv1 1if
0 v Pcrvrows Pcrv( ) 1if
i floor v( ) Pcrv1 1 1
Pcrvi 2Pcrvi 1 2 Pcrvi 2
Pcrvi 1 1 Pcrvi 1v Pcrvi 1
otherwise
Weibull wind distribution, wind speed probability density function:
2.4
9.33
Weibull v( )
v
1 e
v
Page 4 of 29
AveragePower0
25vpTurb v( ) Weibull v( )
d AveragePower 43.05%
The average ambient temperature of the sea bed will not be more than 12 deg C over a year.: AmbientTemperature 12
Solve the above nonlinear equation: Seed AverageCableTemperature 50
Given
AverageCableTemperature90 AmbientTemperature( ) AveragePower2
TempCorr AverageCableTemperature( )AmbientTemperature=
Find AverageCableTemperature( ) 29.75
However, this note takes the cautious approach of working with a higher temperature:
AverageCableTemperature 40
thereby overestimating the losses slightly:. TempCorr AverageCableTemperature( )TempCorr 29.75( )
1 3.88%
Do the correction:
Cables 3 TempCorr AverageCableTemperature( ) Cables 3
Page 5 of 29
Transformers (3):
from - to -kVprim -kVsec - baseMVA -ex - er - iMagn - noloadLoss% - AVRtarget -tapdist -tapDeadband
Onshore autotransformer with tertiary modelled by three fictitious two-winding transformers, first 3 rowsTrf
2
3
3
8
3
4
5
9
400
400
400
150
400
13.9
150
33
180
180
180
180
8.69 %
35.28%
20.28%
11.83%
0.061%
0.033%
0.122%
0.225%
0.074%
0
0
0.06%
0.036%
0
0
0.043%
0
0
103%
100%
0
0
1.25%
1.25%
0
0
2%
2%
Transformers could equally be subject to average temperature compensation, however not done as losses are modest. Data apply to full load and are hence conservative.
Shunt elements (6): at kVrated, Mvar rated positive = capacitor, MW losses
Harmonic filter, 20 Mvar, series reactorloss 0.432 plus dielectric loss 0.0585 W/kvar
Shunt 5 150 20 0.4320720150
2 0.0585 20 103
10 6
Page 6 of 29
SVC losses (4): Complete SVC compund losses incl auxiliary power, cooling, filters as advised by Siemens AG Erlangen 4th March 2011, without and with switched reactor (W)
Ps
C:\..\LossesSVC.xls
Pm
C:\..\LossesSVC&MSR.xls
100 50 0 500
5 105
1 106 SVC losses, reactor off
Mvar to transformer
W
Ps 2
Ps 1
20 40 60 80 1000
5 105
1 106
Mvar to transformer
W Pm 2
Pm 1
In the overlap Mvar region, reactor switching status depends on operational history. Hence use an average. Note: Siemens stated losses with Mvar sign absorption positive
Q 60 80
Psvc Q( ) ps if Q max Ps 1 linterp Ps 1 Ps 2 Q 0
pm if Q min Pm 1 linterp Pm 1 Pm 2 Q 0
if ps 0= if pm 0= 0 pm( ) if pm 0= psps pm
2
100 50 0 50 1000
1 106
2 106
Psvc Q( )
linterp Ps 1 Ps 2 Q linterp Pm 1 Pm 2 Q
Q
Page 7 of 29
Substation load, per SGT section i.e. per Power Park Module MW (5).Note that SVC loads are to be subtracted as those have been included in the above SVC losses. Conservatively assume LV installation to be at dimensioning load at all times
PonshoreAux 184.1 10 3 Offshore substation load not to be
included as it is Generator metered.
Network calculation formulae
Vector of nodal powers as a function of relative MW generationand SVC reactive generation. Generator sign
Nominal voltages
pRel = power relative to installed turbine power PmaxPPM
PmaxPPM 44 3.6
Vn
400
400
400
13.9
150
150
150
150
33
P pRel Qsvc( )
0
0
0
10 6 Psvc Qsvc( ) PonshoreAux
0
0
0
0
pRel PmaxPPM
Page 8 of 29
Build the impedance matrix for nodal iterative load flow
Cable element admittance
Yc i( ) z Cablesi 3 j Cablesi 4 Cablesi 6
1000
y 2j 50 10 6 Cablesi 5
Cablesi 61000
yz
1
e z y
1
e z y
1
e z y
1
e z y
1
Transformer element admittance as a function of tap position:
Y2trf i Tap( ) z1
Trf i 5Trfi 7 j Trf i 6
V1 Trfi 3
V2 Trfi 4 1 Trf i 11 Tap
Y0 Trfi 9 j Trf i 8 2 Trf i 9 2
Trfi 5
Trfi 3 2
1z
1V1 V1
1V1 V2
1V1 V2
1V2 V2
Y0
0
0
0
Page 9 of 29
Shunts
Yshunt i( )Shunti 4 j Shunti 3
Shunti 2 2
Nodal admittance matrixas a function of transformertap positions
N rows Vn( )
rE 10 12 Zbus Tap( ) YN N 0
Y1 11rE
Yx Yc i( )
YCablesi r Cablesi c YCablesi r Cablesi c Yxr c
c 1 2for
r 1 2for
i 1 rows Cables( )for
Yx Y2trf i Tapi
YTrf i r Trf i c YTrf i r Trf i c Yxr c
c 1 2for
r 1 2for
i 1 rows Trf( )for
YShunti 1 Shunti 1 YShunti 1 Shunti 1 Yshunt i( )
i 1 rows Shunt( )for
Y 1
rE = Thevenin resistance of 400 kV Interface Point voltagesource at node 1
Page 10 of 29
Element power flow formulae for later use
Power in cable i at end =1,2 as a function of nodal voltages. Positive = from end 1 to end 2 Sc i end V( ) z Cablesi 3 j Cablesi 4
Cablesi 61000
y 2j 50 10 6 Cablesi 5
Cablesi 61000
K1
e z y
1
e z y
1 V Cablesi 1 V Cablesi 2
V Cablesi 1 V Cablesi 2
end
yz
K1 e z y end 1( ) K2 e z y end 1( )
Power in transformer i at end =1,2 as a function of nodal voltages. Positive = from end 1 to end 2 St i end Tap V( ) z
Trf i 3 2
Trf i 5Trfi 7 j Trf i 6
nTrf i 3
Trfi 4 1 Trf i 11 Tap
Y0 Trfi 9 j Trf i 8 2 Trf i 9 2
Trfi 5
Trfi 3 2
V Trf i 1 V Trf i 2 n
zY0 V Trf i 1
V Trf i 1
end 1=if
V Trf i 1 V Trf i 2 n
z
n V Trf i 2 otherwise
Page 11 of 29
Loadflow,find voltages atcomplex powers S,at relative voltage vRel at Interface Point,Seed with voltages V0
Maxit 100 tol 10 12
Vlfl P Q vRel Zb V0( )
IP j Q
V0
I1Vn1 vRel
rE
V Zb I
break max V V0 tolif
V0 V
it 1 Maxitfor
V
check:
V Vlfl P 1 20( ) 0 0.95 Zbus
0
0
0
0
Vn
V
380
380
371.1
12.9
148.81
149.07
152.46
152.57
33.46
i 1 rows Cables( )
Sc i 1 V( )-154.03-51.98i-154.84-50.75i
-155.01-46.79i
-157.86+11.78i
Sc i 2 V( )-154.03-51.53i-155.01-46.79i
-157.86+11.78i
-158.01+15.96i
St i 1 0 V( )-154.03-51.53i
0.44+0i
-154.63-37.31i
-158.01+15.96i
St i 2 0 V( )-154.19-37.31i
0.44
-154.83-70.43i
-158.4
Balance, OK
Page 12 of 29
Model the reactive power controllers:
ParkPilot, controls 150 kV onshore reactive power by a voltage control slope arrangement
Mvar baseTarget voltage, relativeSlope (note: 8.68% = equivalent to 5% base 30 Mvar)Controlled cable no.-at end 1 or 2Controlled turbine eqivalent at node
ParkPilot
PmaxPPM tan acos 0.95( )( )
107%
8.68%
2
1
9
Target:QPPtarget V( )
ParkPilot2
V Cables ParkPilot4 ParkPilot5
Vn Cables ParkPilot4 ParkPilot5
ParkPilot3ParkPilot1
Actual measurement at voltages V QPP V( ) Im Sc ParkPilot4 ParkPilot5 V
Page 13 of 29
SVC controls the reactive power by Slopecontrol, as per STC-K. 100% target,4% slope
Installed at nodeTarget voltageSlopeControlled cable-end 1 or 2Installed at node
SVC
4
100%
4%
1
2
4
SVC runs on slopeindependently of MW; Mvar target relative to Rated MW qmax tan acos 0.95( )( )
qReq v target slope( ) min 1 max 1target v
slope
qmax
QSVCtarget vRel( ) qReq vRel SVC2 SVC3 PmaxPPM
Actual measurementQSVC V( ) Im Sc SVC4 SVC5 V
Page 14 of 29
Iterate reactive powersto target relative turbine voltageCap turbine reactive power to SWT limits
nSVC SVC6 nTurbine ParkPilot6 acc 1
dQdQ 0.5
VQ pRel vRel Tap V Q( ) QnewN 0
Zb Zbus Tap( )
V V acc Vlfl P pRel QnSVC Q vRel Zb V V
QnewnTurbine QnTurbine dQdQ QPPtarget V( ) QPP V( )( )
QnewnSVC QnSVC dQdQ QSVCtarget vRel( ) QSVC V( )( )
ri QnewnTurbine j QnewnSVC
break max Qnew Q 0.001if
Q Q acc Qnew Q( )
i 1 Maxitfor
V
Q
i
r
Page 15 of 29
OK
St i 2 0 V( )-154.28+37.5i
0.62+39.6i
-155.06-30.72i
-158.4+50.48i
St i 1 0 V( )-154.14+26.03i
0.62+42.98i
-154.9-5.47i
-157.99+67.46i
Sc i 2 V( )-154.14+26.03i
-155.21-3.81i
-157.82+62.85i
-157.99+67.46i
Sc i 1 V( )-154.13+25.51i
-155.07-8.42i
-155.21-3.81i
-157.82+62.85i
QPP V( ) 8.42QSVC V( ) 26.03
QPPtarget V( ) 8.42note: This checkis performed with transformersin mid tap and hence results may not be realistic
QSVCtarget 1.02( ) 26.03
Q
0
0
0
39.6
0
0
0
0
50.48
V
408
408
414.18
13.26
158.39
158.55
160
159.99
34.04
0 5 10 15 2060
50
40
30Convergence check, SVC and turbine Mvar
Iteration no
Mva
r
Re rir Im rir
ir
it 16ir 1 rows r( )
V
Q
it
r
VQ 1 1.02
0
0
0
0
Vn 0 Vn
check
Page 16 of 29
Eliminate the unknownt transformer tapings -tap transformers into position; calculate losses for steady state
changeTap V tap( )
v V Trf i 2
vn Trf i 10 Trfi 4
tapi tapi sign vn v( ) v vnTrfi 12
2Trf i 4if Trf i 11 0if
i 1 rows Trf( )for
tap
VQtap pRel vRel Tap V Q( )
vq VQ pRel vRel Tap V Q( )
Tap1 changeTap vq1 Tap
break Tap1 Tap=if
Tap Tap1
V vq1
Q vq2
i 1 Maxitfor
vq5 Tap
vq
i Maxitif
0 otherwise
Page 17 of 29
-and balance, OK
St i 2 Tapi V -154.13+64i0.75+71.69i
-155.03-43.9i
-158.4+33.56i
St i 1 Tapi V -153.98+52.07i
0.76+83.77i
-154.89-19.78i
-158+49.94i
Sc i 2 V( )-153.98+52.07i-155.19-18.21i
-157.84+45.49i
-158+49.94i
Sc i 1 V( )-153.98+51.52i-155.04-22.58i
-155.19-18.21i
-157.84+45.49i
i 1 4
Voltages OK,within dead bands
QPP V( ) 22.58
Tap
0
0
5
2
QPPtarget V( ) 22.58
QSVC V( ) 52.07
QSVCtarget vr( ) 52.06
Q
0
0
0
71.69
0
0
0
0
33.56
V
Vn
104
104
106.71
91.32
103.23
103.36
104.75
104.77
99.75
%
V
Q
r
i
Tap
VQtap pr vr
0
0
0
0
Vn 0 Vn
pr 1
vr 1.04check
Page 18 of 29
Which elements of the wind farm are the predominanly lossy ones?
150 kV
33 kV
SGT1A
GT1
HPPP1
SVC
MSR
Grid Entry Point
EXPO
RT C
ABLE
1
harmonicfilter
NGET1
2
3 (fictitious, y-equivalent)
4
5
6
7
8
9
to SGT1B
Single systemto which the
formula applies
MWh MWh
Blue: Node numbersapplied in the calculations
LossContributions pRel( ) V VQtap pRel 101%
0
0
0
0
Vn 0 Vn
Tap V5
V V1
dPGT St 4 1 Tap4 V St 4 2 Tap4 V
dPExp Sc 2 1 V( ) Sc 4 2 V( )
dPFilter St 3 2 Tap3 V Sc 2 1 V( )
dPSVC St 2 2 Tap2 V PonshoreAux
dPSGT St 1 1 Tap1 V St 2 2 Tap2 V St 3 2 Tap3 V
dP400 Sc 1 1 V( ) Sc 1 2 V( )
dPAll Sc 1 1 V( ) St 4 2 Tap4 V
Re dPGT dPExp dPFilter dPSVC PonshoreAux dPSGT dP400( )T Re dPAll( )
Calculatedfor the NGETaverage voltageof 101% x 400 kV
Offshore transformer150 kV export cable150 kV filterSVCOnshore substation aux supplyOnshore transformer400 kV connections
LossContributions 0( )
16.3
13.2
1.3
33.1
24.9
11.2
0
% LossContributions AveragePower( )
12.7
46.7
0.7
17.1
13.5
9.2
0
% LossContributions 1( )
9.4
69
0.2
9.9
4.3
7.2
0
%
Page 19 of 29
i 1 7or, on the average,in terms of energy
LossContributionsEnergyi0
24
v
LossContributions pTurb v 0.5( )( )i Weibull v 0.5( )
LossContributionsEnergy
13
39
1
23
15
9
0
%
LossContributionsEnergy 100.0%
Page 20 of 29
Losses as a function of offshore MW generation and onshore voltage
Scan an appropriate range of independent variables i.e. relative offshore power pRel and onshore 400 kV voltage vRel:
Loss pRel vRel( ) pRel PmaxPPM Re Sc 1 1 VQtap pRel vRel
0
0
0
0
Vn 0 Vn
1
pRel 0 0.2 1
0 0.2 0.4 0.6 0.8 10
1
2
3
4
5Loss(relative MW, relative 400kV)
Loss pRel 0.96( )
Loss pRel 0.98( )
Loss pRel 1( )
Loss pRel 1.02( )
Loss pRel 1.04( )
pRel
The losses are significantlydependent upon the onshore voltage,thanks to the lossy SVC.
Page 21 of 29
Elimination of voltage as an unknown
A loss correction formula can only have the active power P as an argument. The voltage is thus to be eliminated.
Two approaches will be used: A) a statistical assumption and B) historical voltage recordings from the substations adjacent to the Cleve Hill connection point.
A) Below, Grid Code CC.6.1.5 is applied, assuming the nominal 400 kV to be the mean and the +/-5% range to be the symmetrical 99% percentile limits of a normally distributed voltage
Percentile 95% Bins 5 v 0.9 0.91 1.1
f v( ) dnorm v 15%
qnorm 11 Percentile
2 0 1
0.8 0.9 1 1.10
10
20
f v( )
v
i 1 Bins
pi f 1105% 95%
Binsi
Bins 12
P p
ppP
p 1 p
0.1
0.24
0.33
0.24
0.1
loss pRel( )
1
Bins
i
pi Loss pRel 110%Bins
iBins 1
2
Note: 5, 7 or 11 Bins give virtually the same loss result
Page 22 of 29
Averaged loss shown in redon top of previous figure:
0 0.2 0.4 0.6 0.8 10
1
2
3
4
5Loss(relative MW, relative 400kV)
Loss pRel 0.96( )
Loss pRel 0.98( )
Loss pRel 1( )
Loss pRel 1.02( )
Loss pRel 1.04( )
loss pRel( )
pRel
Percentile 0.95
loss pRel( )0.8470.9911.4212.1253.0984.333
Percentile 0.95
loss pRel( )0.850.981.392.052.974.13
check: also computed for voltage Percentiles 95%rather than above 99%, nosignificant difference
Page 23 of 29
B) Now try with recorded voltages at Kemsley and Canterbury, all VTs of all circuits, for one year August 2010- July 2011 (8). The large amount of data has been cleaned for invalid data and apportioned in bins in separate Mathcad spreadsheet
Middle of bin, kV / probability of bin
VoltageDistribution
390.625
397.625
399.969
401.769
403.3
404.812
406.406
408.194
410.381
414.531
0.103
0.085
0.111
0.095
0.087
0.118
0.097
0.109
0.09
0.102
lossHistV pRel( )
1
rows VoltageDistribution( )
i
VoltageDistributioni 2 Loss pRelVoltageDistributioni 1
400
lossHistV pRel( )0.86
11.422.07
34.18
loss pRel( )0.850.981.392.052.974.13
NGET's voltage recordings yield slightly higher losses than the normal assumptions. Hence, the formula derived from the recordings will be used.
loss pRel( ) lossHistV pRel( )
Page 24 of 29
The maximum inaccuracy of the polynomial approximation is 1%.
A0 0.87
A2 3.35
Compare the exact formula and the polynomial approximation:
0 0.2 0.4 0.6 0.8 10.02
0.01
0
0.01
A0 A2 pRel2 dPdP
pRel
A0
A2
Minimize Err A0 A2( )
Givenoptimisation
A2 2Err A0 A2( )
1
Steps
i
dPi x A0 A2 i( ) 2
A0 dP1variable seeds
x A0 A2 i( ) A0 A2 pReli 2Find the 2nd order coefficient
by minimisation of error
Use the common approach ofno-load + load losses, zero-2nd orderpolynomium
dP1 0.86
dPi loss pReli
pRelii 1Steps
i 1 Steps 1Compute vectors of
independent and dependentvariables for fitting
Steps 10Approximate by a ploynomium
Page 25 of 29
That is: A good approximation for the MW losses as a function of pRel i.e. offhore active power base an installed nominal turbine capacity of 44 off 3.6 MWturbines is
P pRel( ) A0 A2 pRel2
This formula needs conversion to offshore and onshore power in MWh/0.5 h C 0.5 1 MW = 0.5 MWh/½ h
M0 C A0 M2 C A2
1C
2
PmaxPPM2
M0
M2
0.4334
2.6705 10 4
I.e:
Ponshore Poffshore( ) Poffshore 0.4334 2.6705 10 4 Poffshore2
[MWh per ½ h], MWh per ½ h]
Relate the losses to the annual generation into the Grid Entry Points
Relative energy losses:
dw0
25vP pTurb v( )( ) Weibull v( )
d
44 3.6 AveragePower
dw 2.79%
Page 26 of 29
Guesswork 2.44%Guesswork 1.82 %( )2 1.45 %( )2
0.72 %( )2 0.13%( )2
Overall uncertainty incurring from guesswork:
PonshoreAux 50 %AveragePower 44 3.6( )
0.13%Substation loads are probably not at LV installation dimentioning limits at all times:
insignificantdw1% dw0%dw0%
0.72%dw1% 2.81%
dw0% 2.79%
Look at robustness to export cable lengthsAt the time of calculating this, cables have not yet been laid; applied budget dx = 0% has worst-case assumptions in it so as to buy enough cable
insignificantdwB
dwA951 1.45%
dwB 2.79%
dwA95 2.75%
dwA99 2.75%
Look at the 400 kV voltage distribution assumptionRedone for CC.6.1.4 voltage limits being 95% percentiles rather than 99% percentiles:
1.82% 2.79 % 0.05%That is: Cable temperature assumption is of minor influence,0.15% of annual energy delivered to the grid
dw40 dw202 dw29_75
1.82%dw40 2.79%
dw20 2.69%
dw29_75 2.74%
Look at the initial cable core temperature assumptionRedone for 20 and 80 deg average cable temperature, spreadsheet rerun manually changing above AverageCableTemperature 40
Assess the effect of assumptions made
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Accuracy budget
For a normal COP 1 metering installation with class 0.2 elements, the overall uncertainty budget looks as follows:
VT 0.2%
CT 0.2%
Meter 0.2%
COP1 VT2
CT2
Meter2
COP1 0.35%
When translating to onshore connection by a loss formula, the accuracy of that formula needs to be taken into account.Further to assumptions uncertainty, allow also for 10% on cable resistances, substation losses and SVC losses. The overall uncertainty on the formula, including the polynomial approximation, is not more than:
General 10%
Formula 2.44%( )2General
2 Formula 10.29%
Hence:
Overall COP12
dw Formula 2
Overall 0.45% OverallCOP1
1.3
COP 1 accuracy is hence violated at the onshore interface point.
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However, COP 2 accuracy is maintained:
COP2 3 0.5 %OverallCOP2
0.52
Coarse capital value of inaccuracy for 1st yearduring which only 22 out of 44 turbines are inoperation on the average, at £ 160 per MWh:
Overall2
COP12
8760 22 3.60
25vpTurb v( ) Weibull v( )
d
160 137345
This is the extreme when full uncertainty applies, not to be expected.
A meter installation cannot be justified.
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