load flow analysis - share itsshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... ·...
TRANSCRIPT
![Page 1: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/1.jpg)
Electric Power Systems L5 - Olof
Samuelsson
1
Load Flow Analysis
You will try it with the PowerWorld simulator!
![Page 2: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/2.jpg)
Electric Power Systems L5 - Olof
Samuelsson
2
Outline
• Real and reactive power
• Line transfer
• The load flow problem
• Gauss-Seidel
• Newton-Raphson
• (Fast) Decoupled Power
Flow
![Page 3: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/3.jpg)
Electric Power Systems L5 - Olof
Samuelsson
3
Real and reactive power P & Q
Z=R+jX V=(R+jX)I S=P+jQ
R=Zcosj P=Scosj; heat, work
X=Zsinj Q=Ssinj; E&M fields
cosj=power factor
j>0 ind/lagging
j<0 cap/leading
ZX
R
j
V
j
SQ
P
j
x I x I
![Page 4: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/4.jpg)
Electric Power Systems L5 - Olof
Samuelsson
4
Power through inductance
• Line transfer
• Power through transformer
• Power from generator
Xline
Xeq
Xd
![Page 5: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/5.jpg)
Electric Power Systems L5 - Olof
Samuelsson
5
Line transfer 1
V1=V1 q1
I1 I2
S12 S21
S12=P12+jQ12=V1I1*=V1((V1-V2)/Z)*
P12=V12 /Zcosa-V1V2/Zcos(q1-q2+a)
Q12=V12 /Zsina-V1V2/Zsin(q1-q2+a)
V2=V2 q2
Z=Z a
![Page 6: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/6.jpg)
Electric Power Systems L5 - Olof
Samuelsson
6
Line transfer 2
Z≈jX, a≈90°:
P12=V1V2/Xsin(q1-q2)
Q12=V12 /X-V1V2/Xcos(q1-q2)
P21=V1V2/Xsin(q2-q1)
Q21=V22 /X-V1V2/Xcos(q2-q1)
P12=-P21
Q12≠-Q21 if V1≠V2 q1-q2
P12
V1,V2
constantPmax
Pmax=V1V2/X
![Page 7: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/7.jpg)
Electric Power Systems L5 - Olof
Samuelsson
7
The load flow problem
In a network with known parameters,
find V,q at all buses
given generation and load
•Balance equations at each bus:
Pin(gen – load) – Pout(to other buses)=0
Qin(gen – load) – Qout(to other buses)=0
•Equations nonlinear and coupled
•Postprocessing => line flows and losses
![Page 8: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/8.jpg)
Electric Power Systems L5 - Olof
Samuelsson
8
DALAM ANALISIS ALIRAN DAYA DIHITUNG :
1. TEGANGAN TIAP-TIAP BUS
2. ALIRAN DAYA PADA TIAP-TIAP SALURAN
ALIRAN DAYA PADA SALURAN i-j DITENTUKAN
SEBAGAI BERIKUT :
*
*
ij
ji
i
ijiij
z
VVV
IVS
Zij = Impedansi Saluran i-j
![Page 9: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/9.jpg)
Electric Power Systems L5 - Olof
Samuelsson
9
Power balance at each bus
•Balance equations at bus k:
Pin– Pout=0
Qin– Qout=0
•Pin and Qin
Generation minus load
•Pout and Qout line transfer to buses i≠k
Depend on Vi and qi
Load
PGk+jQGk
PLk+jQLk
…
To rest of system
Vk qk
![Page 10: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/10.jpg)
Electric Power Systems L5 - Olof
Samuelsson
10
Three bus types
• Swing or slack bus
– Reference with V and q known
• PV or generator bus
– Voltage controlled, V known
• PQ or load bus
– Neither V nor q known
![Page 11: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/11.jpg)
Electric Power Systems L5 - Olof
Samuelsson
11
LOAD BUS (PQ BUS) :
- Terhubung dengan beban
- P,Q dari beban diketahui dan tetap
- |V| dan q (sudut fasa) tegangan dihitung
GENERATOR BUS (PV BUS) :
- Terhubung dengan generator
- P, |V| dari generator diketahui dan tetap
- q dan Q (daya reaktif generator)
dihitung
SWING/SLACK BUS :
- Terhubung dengan generator
- |V| dan q = 0° (referensi) dari generator
diketahui dan tetap
- P dan Q dihitung
- Mencatu rugi2 daya dan beban yang tidak
dapat di supply oleh generator lain
![Page 12: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/12.jpg)
Electric Power Systems L5 - Olof
Samuelsson
12
ANALISIS ALIRAN DAYA
(Load Flow Analysis)
METODE GAUSS-SEIDEL
![Page 13: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/13.jpg)
Electric Power Systems L5 - Olof
Samuelsson
13
Saluran R (pu) X(pu)
1-2 0,10 0,40
1-4 0,15 0,60
1-5 0,05 0,20
2-3 0,05 0,20
2-4 0,10 0,40
3-5 0,05 0,20
Bus P (pu) Q(pu) V (pu) Keterangan
1 ……. …….. 1,02 0° Swing/Slack Bus
2 - 0,6 - 0,3 1,00 0° Load Bus
3 1,0 ……. 1,04 0° Generator Bus
4 - 0,4 - 0,1 1,00 0° Load Bus
5 - 0,6 - 0,2 1,00 0° Load Bus
DATA SALURAN
DATA BUS
Tetap Dimisalkan/
Harga awal
![Page 14: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/14.jpg)
Electric Power Systems L5 - Olof
Samuelsson
14
Saluran G (pu) B(pu)
1-2 0,588235 - 2,352941
1-4 0,392157 - 1,568627
1-5 1,176471 - 4,705882
2-3 1,176471 - 4,705882
2-4 0,588235 - 2,352941
3-5 1,176471 - 4,705882
ADMITANSI SALURAN
555351
444241
353332
24232221
15141211
0,0 0,0
0,0 0,0
0,0 0,0
0,0
0,0
YYY
YYY
YYY
YYYY
YYYY
YBUS =
![Page 15: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/15.jpg)
Electric Power Systems L5 - Olof
Samuelsson
15
LOAD BUS (Bus 2)
n
j
ijjiii YVVjQP
1
* -
424323222121*2
5
1
2*222
-
VYVYVYVYV
YVVjQP
j
jj
-1
424323121*2
22
222
VYVYVY
V
jQP
YV
![Page 16: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/16.jpg)
Electric Power Systems L5 - Olof
Samuelsson
16
Elemen Matrix Ybus :
Y21 = -0,588235 + j2,352941 pu
Y22 = 2,352941 - j9,411764 pu
Y23 = -1,176471 + j4,705882 pu
Y24 = -0,588235 + j2,352941 pu
Y25 = 0,0 +j0,0
)0,1)(352941,2588235,0()04,1)(705882,4176471,1(
)02,1)(352941,2588235,0(0,00,1
3,06,01
22
)1(
2
jj
jj
j
YV
Tegangan bus 2 pada iterasi 1
puj
j
jjj
Y
052500,0980000,0
411764,9352941,2
347058,9811764,1)647058,9411764,23,06,0(
1
22
![Page 17: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/17.jpg)
Electric Power Systems L5 - Olof
Samuelsson
17
Koreksi (OPTIONAL) :
puj
jj
j
YV
050965,0976351,0
647058,9411764,2052500,0980000,0
3,06,01
22
)1(
2
![Page 18: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/18.jpg)
Electric Power Systems L5 - Olof
Samuelsson
18
GENERATOR BUS (Bus 3)
535333232*
3
5
1
3*
333
-
VYVYVYV
YVVjQP
j
jj
-1
535232*3
33
333
VYVY
V
jQP
YV
535333232*
33 Im VYVYVYVQ
![Page 19: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/19.jpg)
Electric Power Systems L5 - Olof
Samuelsson
19
Elemen Matrix Ybus :
Y31 = 0,0 + j0,0 pu
Y32 = - 1,176471 + j4.705882 pu
Y33 = 2,352941 - j9,411764 pu
Y34 = - 0,0 + j0,0 pu
Y35 = -1,176471 + j4,705882 pu
Tegangan bus 3 pada iterasi 1
pu
pujj
jjQ
444913,0
)0,1)(705882,4176471,1()04,1)(411764,9352941,2(
)050965,0976351,0)(705882,4176471,1(04.1Im)1(
3
![Page 20: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/20.jpg)
Electric Power Systems L5 - Olof
Samuelsson
20
)0,1)(705882,4176471,1(
)050965,0976351,0)(705882,4176471,1(0,004,1
444913,00,11
33
)1(3
j
jjj
j
YV
pujj
j
jjY
059979,0054984,1411764,9352941,2
788135,9046823,3
)360334,9085285,24277801,0961538,0(1
33
Koreksi :
pujjV
V
059032,0038322,1059979,0054984,1056688,1
04,1
056688,1
)1(3
)1(3
![Page 21: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/21.jpg)
Electric Power Systems L5 - Olof
Samuelsson
21
Iter 0 Iter 1 ∆V Koreksi
(α=1,6)
Iter 2
V1(0) : 1,02+j0,0 V1
(1) : 1,02+j0,0 ∆V1 : V1(1) – V1
(0) V1(1) : 1,02+j0,0 V1
(2) : 1,02+j0,0
V2(0) : 1,00+j0,0 V2
(1) : 0,97635 -
j0,050965
∆V2 : V2(1) – V2
(0) V2(1) : V2
(0)+α∆V2 V2(2) : ---
V3(0) : 1,04+j0,0 V3
(1) : 1,03832 +
j0,059032
∆V3 : V3(1) – V3
(0) V3(1) : optional V3
(2) : ---
V4(0) : 1,00+j0,0 V4
(1) : ---- +j ---- ∆V4 : V4(1) – V4
(0) V4(1) : V4
(0)+α∆V4 V4(2) : ---
V5(0) : 1,00+j0,0 V5
(1) : ---- +j ---- ∆V5 : V5(1) – V5
(0) V5(1) : V5
(0)+α∆V5 V5(2) : ---
SEMUA ∆V < TOLERANSI
(0,0001)
YA STOP ITERASI
TIDAK ITERASI DILANJUTKAN
?
![Page 22: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/22.jpg)
Electric Power Systems L5 - Olof
Samuelsson
22
Iter 0 Iter 1 ∆V Koreksi
(α=1,6)
Iter 2
V1(0) : 1,02+j0,0 V1
(1) : 1,02+j0,0 ∆V1 : V1(1) –
V1(0)
V1(1) : 1,02+j0,0 V1
(2) : 1,02+j0,0
V2(0) : 1,00+j0,0 V2
(1) : 0,97635 -
j0,050965
∆V2 : V2(1) –
V2(0)
V2(1) : V2
(0)+α∆V2 V2(2) : ---
V3(0) : 1,04+j0,0 V3
(1) : 1,03832 +
j0,059032
∆V3 : V3(1) –
V3(0)
V3(1) : optional V3
(2) : ---
V4(0) : 1,00+j0,0 V4
(1) : 0,86218 -
j 0,325
∆V4 : V4(1) –
V4(0)
V4(1) : V4
(0)+α∆V4 V4(2) : ---
V5(0) : 1,00+j0,0 V5
(1) : 0,99413
-j 0,025097
∆V5 : V5(1) –
V5(0)
V5(1) : V5
(0)+α∆V5 V5(2) : ---
SEMUA ∆V < TOLERANSI
(0,0001)
YA STOP ITERASI
TIDAK ITERASI DILANJUTKAN
?
![Page 23: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/23.jpg)
Electric Power Systems L5 - Olof
Samuelsson
23
TUGAS 5
• Cari sistem 7 – 10 bus, run prog. Load-Flow GS (Q gen tdk ada batas)
• Check apakah proses iterasi sdh konvergen
• Cari teori (H. Saadat) meng. Qmin & Qmax
• Run lagi sistem diatas dng batas Qmin & Qmax (MATLAB : Qgen ≠ Qmax, why???
check dng software yg lain)
• Gunakan Qc dan Ql utk pegaturan teg.bus
• Buat analisis hasil simulasi
![Page 24: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/24.jpg)
Electric Power Systems L5 - Olof
Samuelsson
24
ANALISIS ALIRAN DAYA
(Load Flow Analysis)
METODE NEWTON-RAPHSON
![Page 25: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/25.jpg)
Electric Power Systems L5 - Olof
Samuelsson
25
Fungsi Nonlinear dengan 1 (satu) Variabel
Menentukan harga x, untuk F(x)=0 dengan
Metode Newton-Raphson
![Page 26: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/26.jpg)
Electric Power Systems L5 - Olof
Samuelsson
26
n
n
dx
xfd
n
)(
!
1...... 0
......)(
!2
1)(
)(
!1
1)()(
2
02
00
0 dx
xfdxx
dx
xdfxfxf
Fungsi dengan 1 (satu) variabel
0)( xf
0)()(
)()( 00
0 xxdx
xdfxfxf
Dengan menggunakan Deret “TAYLOR” :
Dengan pendekatan LINEAR :
![Page 27: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/27.jpg)
Electric Power Systems L5 - Olof
Samuelsson
27
)()()()(
000 xfxfxx
dx
xdf
fxdx
xdf
)(
Secara umum dapat dinyatakan :
![Page 28: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/28.jpg)
Electric Power Systems L5 - Olof
Samuelsson
28
Fungsi dengan 2 (dua) variabel
0),( 211 xxf
0),( 212 xxf
2
1
2
1
2
2
1
2
2
1
1
1
f
f
x
x
x
f
x
f
x
f
x
f
Persamaan yg digunakan pada setiap iterasi :
![Page 29: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/29.jpg)
Electric Power Systems L5 - Olof
Samuelsson
29
1249,1
70,1
2
2
V
P
0,1
0,2
3
3
Q
P 01 00,1 V
5413 jy 10423 jy
158 104 54
104 104 00
54 00 54
jjj
jjj
jjj
Ybus
Contoh :
123
Slack
Load
Generator
![Page 30: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/30.jpg)
Electric Power Systems L5 - Olof
Samuelsson
30
)()( 32233232233222222 qqqq SinBVVCosGVVGVVP
)()(
)()(
13322313
311333332332231331133
qqqq
qqqq
SinBVVSin
BVVGVVCosGVVCosGVVP
333323322313
3113233223133113
)cos()(
)()(3
BVVBVVCos
BVVSinGVVSinGVVQ
qqqq
qqqq
)()( 32233222223223322qqqq CosBVVBVVSinGVVQ
)()( 31133131133111111 qqqq SinBVVCosGVVGVVP
)()( 31133111113113311 qqqq CosBVVBVVSinGVVQ
Persamaan Nonlinear :
![Page 31: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/31.jpg)
Electric Power Systems L5 - Olof
Samuelsson
31
PERSAMAAN-PERSAMAAN DIATAS
DIGUNAKAN UNTUK MENGHITUNG DAN
DARI TIAP-TIAP BUS.
PERSAMAAN-PERSAMAAN DIATAS
MERUPAKAN FUNGSI DARI DAN PADA
TIAP-TIAP BUS
V
Vq
q
![Page 32: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/32.jpg)
Electric Power Systems L5 - Olof
Samuelsson
32
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
3
3
2
2
1
1
3
3
2
2
1
1
3
3
3
3
3
2
3
2
3
1
3
1
3
3
3
3
3
2
3
2
3
1
3
1
2
3
2
3
2
3
2
3
1
3
1
3
1
3
1
3
2
2
2
2
1
2
1
2
2
2
2
1
2
2
2
1
1
2
1
1
1
2
1
1
2
1
2
1
1
1
1
1
Q
P
Q
P
Q
P
V
V
V
V
Q
V
P
V
Q
V
P
V
Q
V
P
Q
P
Q
P
Q
P
V
Q
V
P
Q
P
V
Q
V
P
Q
P
V
V
V
P
V
Q
P
Q
V
P
V
Q
P
Q
V
PP
V
PP
Persamaan yang digunakan pada setiap iterasi :
![Page 33: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/33.jpg)
Electric Power Systems L5 - Olof
Samuelsson
33
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
3
3
2
2
1
1
3
3
2
2
1
1
3
3
3
3
3
2
3
2
3
1
3
1
3
3
3
3
3
2
3
2
3
1
3
1
2
3
2
3
2
3
2
3
1
3
1
3
1
3
1
3
2
2
2
2
1
2
1
2
2
2
2
1
2
2
2
1
1
2
1
1
1
2
1
1
2
1
2
1
1
1
1
1
Q
P
Q
P
Q
P
V
V
V
V
Q
V
P
V
Q
V
P
V
Q
V
P
Q
P
Q
P
Q
P
V
Q
V
P
Q
P
V
Q
V
P
Q
P
V
V
V
P
V
Q
P
Q
V
P
V
Q
P
Q
V
PP
V
PP
Bus 1 : Slack Bus 2 : Gen. bus
![Page 34: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/34.jpg)
Electric Power Systems L5 - Olof
Samuelsson
34
q
q
q
q
q
q
q
q
q
3
3
2
3
3
2
3
3
3
3
2
3
3
3
3
3
2
3
3
2
3
2
2
2
P
P
V
V
QQQ
V
PPP
V
PPP
3
3
2
3
3
3
2
3
33
3
3
2
3
3
33
3
3
2
3
3
23
3
2
2
2
Q
P
P
V
V
V
QV
V
PV
PP
V
PV
PP
q
q
JACOBIAN
Matrix
![Page 35: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/35.jpg)
Electric Power Systems L5 - Olof
Samuelsson
35
3
3
2
3
3
3
2
333332
333332
232322
Q
P
P
V
VLJJ
NHH
NHH
q
q
j
j
iij
j
iij
j
j
iij
j
iij
VV
QL
QJ
VV
PN
PH
q
q
JACOBIAN3
)(
3
)1(
3
3)(
3)1(
3
2)(
2)1(
2
VVVkk
kk
kk
qqq
qqq
![Page 36: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/36.jpg)
Electric Power Systems L5 - Olof
Samuelsson
36
Q
P
V
VLJ
NHq
JACOBIAN
SECARA UMUM DAPAT DITULIS :
![Page 37: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/37.jpg)
Electric Power Systems L5 - Olof
Samuelsson
37
138.1562.070.1)}4996.4(0615.5{70.1
)00()10)(1249.1()00()4)(0.1)(1249.1()4)(1249.1)(1249.1{(70.1
)}()({
2
2
322332322332222222
P
SinCosP
SinBVVCosGVVGVVPP qqqq
.5004.14996.02
)}00()10)(11249.1)(0.1()00()5.)(1)(0.1(
)8)(0.1)(0.1()00()4)(1249.1)(0.1()00()4)(0.1)(0.1{(2
)}()(
)()({
3
3
23322313
3113333323322313311333
P
SinSin
CosCosP
SinBVVSin
BVVGVVCosGVVCosGVVPP
qqqq
qqqq
24.0}15249.11500{1
})()(
)()({
3
333323322313
31132332231331133 3
Q
BVVCosBVVCos
BVVSinGVVSinGVVQQ
qqqq
qqqq
Iterasi 1 :
![Page 38: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/38.jpg)
Electric Power Systems L5 - Olof
Samuelsson
38
249.11249.1100
)00()10)(0.1)(1249.1()00()4)(0.1)(1249.1(0
)}()({
22
22
3223323223322222
22
222
H
CosSinH
SinBVVCosGVVGVVP
H qqqqqq
249.11
)1)}(00(){10)(0.1)(1249.1()1)}(00(){4)(0.1)(1249.1(0
)}()({
23
23
3223323223322222
33
223
H
CosSinH
SinBVVCosGVVGVVP
H qqqqqq
4996.404996.40
)00()10)(1249.1()00()4)(1249.1(0
23
3
2323
N
SinCosV
PVN
![Page 39: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/39.jpg)
Electric Power Systems L5 - Olof
Samuelsson
39
249.11
)1)(10)(1249.1)(0.1()}00(){5)(0.1)(0.1(0)00(){4)(1249.1)(0.1(0
)}()(
)()({
233223133113
3333233223133113
22
3
32
CosSin
SinBVVSinBVV
GVVCosGVVCosGVVP
H
qqqq
qqqqqq
249.16)1)}(00(){10)(1249.1)(0.1()1)}(00(){5)(0.1)(0.1(000
)}()(
)()({
233223133113
3333233223133113
33
3
33
CosCos
SinBVVSinBVV
GVVCosGVVCosGVVP
H
qqq
qqqqqq
5004.700)8)(1)(2()00()4)(1249.1()00()4)(0.1(
)}()(
)()({
233223133113
3333233223133113
3
3
3
3333
CosCos
SinBVVSinBVV
GVVCosGVVCosGVVV
VV
PVN
qqqq
qqqq
![Page 40: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/40.jpg)
Electric Power Systems L5 - Olof
Samuelsson
40
4996.4)1)}(00(){10)(1249.1)(1(0)1)}(00(){4)(1249.1)(0.1(0
})(
)()()({
3333233223
133113233223133113
22
3
32
SinCos
BVVCosBVV
CosBVVSinGVVSinGVVQ
J
qqqqqqqq
4996.8000)1)}(00(){4)(1249.1)(0.1()1)}(00(){4)(0.1)(0.1(
})(
)()()({
3333233223
133113233223133113
33
3
33
CosCos
BVVCosBVV
CosBVVSinGVVSinGVVQ
J
qqqqqqqq
751.13)15)(0.1)(2()}00(){10)(1249.1()}00(){5)(0.1(00
})(
)()()({
3333233223
133113233223133113
3
3
3
3333
CosCos
BVVCosBVV
CosBVVSinGVVSinGVVV
VV
QVL
qqqqqq
![Page 41: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/41.jpg)
Electric Power Systems L5 - Olof
Samuelsson
41
249.0
5004.1
138.1
3
3
3
2
V
V
q
q
0557.0 0446.00223.0
0334.01733.01866.0
0112.01911.02844.0
249.0
5004.1
138.1
3
3
3
2
V
V
q
q
7510.134996.84996.4
5004.7 249.16 249.11
4996.4249.11249.11
=
-1
=
![Page 42: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/42.jpg)
Electric Power Systems L5 - Olof
Samuelsson
42
puVVV
xVV
V
x
x
9723.0)0277.0(1
21.3)21.3(0
955.1955.10
0277.00.10277.00277.0
21.318014.3
056.0056.0
955.118014.3
0341.00341.0
3
0
3
'
3
3
0
3
'
3
2
0
2
'
2
3
3
3
33
22
qqq
qqq
TUGAS 6 ………….. (2 iterasi)
![Page 43: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/43.jpg)
Electric Power Systems L5 - Olof
Samuelsson
43
123
Slack
Load
Generator
333332
333332
232322
LJJ
NHH
NHH
JACOBIAN3
3
3
2
V
V
q
q
3
3
2
Q
P
P
=
![Page 44: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/44.jpg)
Electric Power Systems L5 - Olof
Samuelsson
44
12 3Slack
LoadGenerator
333332
333332
232322
LJJ
NHH
NHH
JACOBIAN3
3
3
2
V
V
q
q
3
3
2
Q
P
P
=
![Page 45: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/45.jpg)
Electric Power Systems L5 - Olof
Samuelsson
45
12 3Slack
LoadGenerator
3333
3333
22
0
0
00
LJ
NH
H
JACOBIAN
3
3
3
2
V
V
q
q
3
3
2
Q
P
P
=
0
)}()({ 1221122222122112
33
223
qqqq
qqSinBVVGVVCosGVV
PH
![Page 46: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/46.jpg)
Electric Power Systems L5 - Olof
Samuelsson
46
TUGAS 7
• Cari sistem 7 – 10 bus, run prog. Load-Flow NR (Q gen tdk batas)
• Check apakah proses iterasi sdh konvergen
• Run lagi sistem diatas dng batas Qmin & Qmax
• Gunakan Qc dan Ql utk pegaturan teg.bus
• Bandingkan dengan hasil dari metode GS
• Print elemen Jacobian Matrix
![Page 47: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/47.jpg)
Electric Power Systems L5 - Olof
Samuelsson
47
TUGAS 7
• Cari sistem 7 – 10 bus, run prog. Load-Flow NR (Q gen tdk batas)(14 bus & 30 bus IEEE)
• Check apakah proses iterasi sdh konvergen
• Run lagi sistem diatas dng batas Qmin & Qmax
• Gunakan Qc dan Ql utk pegaturan teg.bus
• Bandingkan dengan hasil dari metode GS
• Tuliskan persamaan yg digunakan pada setiap iterasi metode NR
• Hitung 2(dua) elemen matrix Jacobian dan 1 (satu) ∆P atau ∆Q
![Page 48: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/48.jpg)
Electric Power Systems L5 - Olof
Samuelsson
48
ANALISIS ALIRAN DAYA
(Load Flow Analysis)
METODE FAST-DECOUPLED
![Page 49: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/49.jpg)
Electric Power Systems L5 - Olof
Samuelsson
49
Jaringan transmisi umumnya memiliki
perbandingn X/R yang tinggi.
Perubahan daya aktif sistem [P] hampir tidak
berpengaruh terhadap perubahan magnitude
tegangan [V], namun sangat berpengaruh
terhadap perubahan sudut phase [].
Perubahan daya reaktif sistem [Q] sangat
berpengaruh terhadap perubahan magnitude
tegangan [V], namun hampir tidak berpengaruh
terhadap perubahan sudut phase [].
![Page 50: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/50.jpg)
Electric Power Systems L5 - Olof
Samuelsson
50
V
VL
H
Q
P
0
0
Sehingga elemen matrix Jacobian N dan J bisa
diabaikan (bernilai nol) :
Diperoleh persamaan berikut (decoupled) :
V
VLQ
HP
![Page 51: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/51.jpg)
Electric Power Systems L5 - Olof
Samuelsson
51
)cossin(
)cossin(
2
2
jiQVBL
jiHBGVVL
jiQVBH
jiBGVVH
iiiiii
ijijijijijjiij
iiiiii
ijijijijjiij
Dimana elemen matrix Jacobian H dan L dapat
dinyatakan sbb. :
![Page 52: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/52.jpg)
Electric Power Systems L5 - Olof
Samuelsson
52
Asumsi dasar yang digunakan:
1. Sistem memiliki rasio X/R yang tinggi.
Dengan demikian:
2. Perbedaan antara sudut tegangan bus sangat
kecil, sehingga:
3. Juga:
ijijij BG sin
0.1)cos(cos
0)sin(sin
jiij
jiij
2
iiii VBQ
![Page 53: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/53.jpg)
Electric Power Systems L5 - Olof
Samuelsson
53
V
VVBVQ
VBVP
t
t
"
'
Maka, persamaan „decoupled‟ diatas dapat
dituliskan sbb. :
B‟ dan B‟‟ adalah negatif dari bagian imajiner
elemen matrix Ybus. Matrix B‟ mempunyai orde
(n-1) dan matrix B‟‟ mempunyai orde (n-1-m),
dimana m adalah jumlah dari Generator (PV)
Bus.
![Page 54: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/54.jpg)
Electric Power Systems L5 - Olof
Samuelsson
54
Selanjutnya, dilakukan modifikasi tambahan dengan
asumsi-asumsi sbb. :
elemen yang sangat berpengaruh terhadap
aliran daya reaktif, seperti reaktansi shunt dan
off-nominal tap trafo dihilangkan dari B‟.
pengaruh pergeseran sudut dari phase shifter
dihilangkan dari B”.
membagi setiap persamaan diatas dengan Vt,
kemudian V di set 1.0
![Page 55: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/55.jpg)
Electric Power Systems L5 - Olof
Samuelsson
55
VBV
Q
BV
P
"
'
Persamaan yang digunakan pada setiap
iterasi dengan metode Fast Decoupled
adalah sbb. :
![Page 56: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/56.jpg)
Electric Power Systems L5 - Olof
Samuelsson
56
Contoh Sistem Tenaga Listrik dng 5 Bus :
4
1 2
3
5
~~
~
![Page 57: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/57.jpg)
Electric Power Systems L5 - Olof
Samuelsson
57
Bus Impedansi Line Charging Admitansi
P – Q Zpq Ycpq/2 Ypq
1 - 2 0.080+j0.240 0.0+j0.0102 1.250-j3.750
1 - 3 0.020+j0.060 0.0+j0.0077 5.000-j15.00
1 - 4 0.080+j0.240 0.0+j0.0102 1.250-j3.750
2 - 3 0.060+j0.180 0.0+j0.0077 1.666-j5.000
2 - 5 0.000+j0.060 0.0+j0.0077 5.000-j15.000
3 - 4 0.080+j0.240 0.0+j0.0102 1.250-j3.750
3 - 5 0.060+j0.180 0.0+j0.0077 1.666-j5.000
Data Saluran :
![Page 58: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/58.jpg)
Electric Power Systems L5 - Olof
Samuelsson
58
BUS V-bus P(pu) Q(pu)
1 ( Slack ) 1.00<0 - -
2 ( Gen1 ) 1.03<0 0.2 -
3 ( Load1 ) 1.00<0 -0.06 -0.02
4 ( Load2 ) 1.00<0 -0.05 -0.01
5 ( Gen2 ) 1.03<0 0.5 -
Data Bus :
![Page 59: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/59.jpg)
Electric Power Systems L5 - Olof
Samuelsson
59
0.2067.600.567.10.150.50
05.75.275.325.1075.325.1
0.567.175.325.175.2858.90.567.10.150.5
0.150.500.567.175.2392.775.325.1
075.325.10.150.575.325.15.2250.7
jjj
jjj
jjjjj
jjjj
jjjj
Matrix Ybus :
![Page 60: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/60.jpg)
Electric Power Systems L5 - Olof
Samuelsson
60
Matrix B‟ :
0.2067.600.567.10.150.50
05.75.275.325.1075.325.1
0.567.175.325.175.2858.90.567.10.150.5
0.150.500.567.175.2392.775.325.1
075.325.10.150.575.325.15.2250.7
jjj
jjj
jjjjj
jjjj
jjjj
![Page 61: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/61.jpg)
Electric Power Systems L5 - Olof
Samuelsson
61
Matrix B‟ :
0.20 0 0.5 0.15
0 5.7 75.3 0
0.5 75.3 75.28 0.5
0.15 0 0.5 75.23
![Page 62: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/62.jpg)
Electric Power Systems L5 - Olof
Samuelsson
62
Matrix B‟‟ :
0.2067.600.567.10.150.50
05.75.275.325.1075.325.1
0.567.175.325.175.2858.90.567.10.150.5
0.150.500.567.175.2392.775.323.1
075.325.10.150.575.325.15.2250.7
jjj
jjj
jjjjj
jjjj
jjjj
![Page 63: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/63.jpg)
Electric Power Systems L5 - Olof
Samuelsson
63
Matrix B‟‟ :
7.5 75.3
75.3 75.28
Persamaan yang digunakan pada setiap
iterasi dengan metode Fast Decoupled
adalah sbb. :
![Page 64: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/64.jpg)
Electric Power Systems L5 - Olof
Samuelsson
64
5
4
3
2
0.20 0 0.5 0.15
0 5.7 75.3 0
0.5 75.3 75.28 0.5
0.15 0 0.5 75.23
4
3
7.5 75.3
75.3 75.28
V
V
5
5
4
4
3
3
2
2
V
P
V
P
V
P
V
P
4
4
3
3
V
Q
V
Q
![Page 65: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/65.jpg)
Electric Power Systems L5 - Olof
Samuelsson
65
TUGAS 8
• Cari sistem 7 – 10 bus, run prog. Load-Flow FD (Q gen tdk batas)
• Check apakah proses iterasi sdh konvergen
• Run lagi sistem diatas dng batas Qmin & Qmax
• Gunakan Qc dan Ql utk pegaturan teg.bus
• Bandingkan dengan hasil dari metode GS dan NR.
![Page 66: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/66.jpg)
Electric Power Systems L5 - Olof
Samuelsson
66
TUGAS 8
• Cari sistem 7 – 10 bus, run prog. Load-Flow FD (Q gen tdk ada batas) (14 bus & 30 bus IEEE)
• Check apakah proses iterasi sdh konvergen
• Run lagi sistem diatas dng batas Qmin & Qmax
• Gunakan Qc dan Ql utk pegaturan teg.bus
• Bandingkan dengan hasil dari metode GS dan NR.
• Pelajari pengaruh tap trafo dan phase shifter thd elemen matrix Ybus
![Page 67: Load Flow Analysis - Share ITSshare.its.ac.id/pluginfile.php/35672/mod_resource/content/1... · Load Flow Analysis You will try it with ... out and Q out line transfer to buses i≠k](https://reader031.vdocuments.net/reader031/viewer/2022030410/5a9c5bda7f8b9a9c5b8e7db3/html5/thumbnails/67.jpg)
Electric Power Systems L5 - Olof
Samuelsson
67
• Print elemen matrix Jacobian dan B‟ & B” (check secara manual)
• Run program Matlab dng memasukkan Qmin & Q max, Qc & Ql utk pengaturan tegangan
• Check Q yg dibangkitkan generator (Q>Qlimit atau Q<Qlimit?)
• Run dng menggunakan ETAP
• Run program Matlab untk sistem radial, check hasilnya? Dicoba dng ETAP, bandingkan hasilnya.