Input Data 14 Bus
Data of Lines
From Bus To Bus R in p.u. X in p.u. Qc/2 in p.u.
1 2 0.01938 0.05917 0.02640
1 2 0.09498 0.0219 0.025581
1 5 0.05403 0.22304 0.02460
2 3 0.04699 0.19797 0.02190
2 4 0.05811 0.17632 0.01870
2 5 0.05695 0.17388 0.01700
3 4 0.06701 0.17103 0.01730
4 5 0.01335 0.04211 0.00640
6 11 0.09498 0.19890 0.00000
6 12 0.12291 0.25581 0.00000
6 13 0.06615 0.13027 0.00000
9 10 0.03181 0.08450 0.00000
9 14 0.12711 0.27038 0.00000
10 11 0.08205 0.192017 0.00000
12 13 0.22092 0.19988 0.00000
13 14 0.17093 0.34802 0.00000
Data of Line in Simulation Model
Line Number From Bus To Bus R in Ω X in Ω B in μS
1 1 2 6.75354 20.61956 151.5152
2 1 2 6.75354 20.61956 151.5152
3 1 5 9.41418 38.86249 282.3691
4 2 3 8.18753 34.49428 251.3774
5 2 4 10.12509 30.72200 214.6465
6 2 5 9.92296 30.296850 195.1331
7 3 4 11.67582 29.80027 198.5767
8 4 5 2.32610 7.33724 73.4619
9 6 11 1.034332 2.16602 0.00000
10 6 12 1.33849 2.78577 0.00000
11 6 13 0.72037 1.41864 0.00000
12 9 10 0.34641 0.92020 0.00000
13 9 14 1.38422 2.94443 0.00000
14 10 11 0.89352 2.09164 0.00000
15 12 13 2.40581 2.17669 0.00000
16 13 14 1.86142 3.78993 0.00000
CASE 1 : The power system of 14 bus IEEE was carried out by load flow Newton-Raphson with the
normal load at all the load busses. The load scaling factor for this case is equal to 100% as the base
case for standard operating condition.
Voltage in p.u.
Bus Number With STATCOM
Without STATCOM
1 1.05 1.05
2 1.05 1.05
3 0.98 0.98
4 0.99 1.00
5 1.00 1.00
6 1.02 1.04
7 1.02 1.03
8 1.04 1.04
9 1.02 1.03
10 1.01 1.02
11 1.01 1.03
12 1.00 1.03
13 0.99 1.03
14 0.96 1.05
Reactive Power (MVAR) Active Power (MW)
Generator 1 -39.57 233.76
Generator 2 115.92 40.00
Generator 3 0.00 0.00
Generator 6 0.00 0.00
Generator 8 8.01 0.00
Summary of Load Flow Case 1
Reactive Power (MVAR) Active Power (MW)
Generation 85.61 273.77
Grid Losses 31.94 14.76
Load 73.50 259.00
Case 2: Case 1 with 20% increase in load without STATCOM
Bus Voltage After Run Load Flow in The Simulation Model
Bus Voltage in p.u. Angle (˚)
Number Without STATCOM With STATCOM Without STATCOM With STATCOM
1 1.05 1.05
2 1.05 1.05
3 0.98 0.98
4 0.99 0.99
5 0.99 0.99
6 1.02 1.02
7 1.02 1.02
8 1.04 1.04
9 1.01 1.01
10 1.00 1.00
11 1.00 1.01
12 0.99 1.00
13 0.98 1.00
14 0.94 1.01
Reactive Power ( Mvar ) Active Power ( MW )
Without
Without STATCOM With STATCOM With STATCOM
STATCOM
Generator 1 -46.95 -47.24 292.82 292.84
Generator 2 137.15 136.24 40.00 40.00
Generator 3 15.46 14.92 0.00 0.00
Generator 6 11.64 -5.14 0.00 0.00
Generator 8 11.66 9.85 0.00 0.00
Grid Summary of Load Flow
Reactive Power ( Mvar ) Active Power ( MW )
Without STATCOM With STATCOM Without STATCOM With STATCOM
Generation 128.98 108.63 332.83 332.85
Grid Losses 60.24 40.13 22.03 22.05
Load 88.20 88.20 310.80 310.80
Case 3: Case 1 with 40% increase in load without STATCOM
Voltages at Bus
Bus Voltage in p.u. Angle (˚)
Number Without STATCOM With STATCOM Without STATCOM With STATCOM
1 1.05 1.05
2 1.05 1.05
3 0.98 0.98
4 0.98 0.98
5 0.94 0.95
6 1.02 1.02
7 1.01 1.01
8 1.04 1.04
9 1.00 1.00
10 0.99 0.99
11 0.99 1.00
12 0.99 1.00
13 0.98 0.99
14 0.93 1.00
Power at Generator
Reactive Power ( Mvar ) Active Power ( MW )
Without
Without STATCOM With STATCOM With STATCOM
STATCOM
Generator 1 -52.57 -52.85 353.72 353.56
Generator 2 161.44 160.43 40.00 40.00
Generator 3 31.57 30.99 0.00 0.00
Generator 6 23.34 6.22 0.00 0.00
Generator 8 15.62 13.76 0.00 0.00
Grid Summary of Load Flow
Reactive Power ( Mvar ) Active Power ( MW )
Without STATCOM With STATCOM Without STATCOM With STATCOM
Generation 179.42 158.56 393.72 353.56
Grid Losses 95.59 74.97 31.12 30.96
Load 102.90 102.90 362.60 362.60
Case 4: Case 1 with 60% increase in load without STATCOM
Voltages at Bus
Bus Voltage in p.u. Angle (˚)
Number Without STATCOM With STATCOM Without STATCOM With STATCOM
1 1.05 1.05
2 1.05 1.05
3 0.98 0.98
4 0.97 0.97
5 0.98 0.98
6 1.02 1.02
7 1.00 1.00
8 1.04 1.04
9 0.99 0.99
10 0.98 0.98
11 0.99 0.99
12 0.98 0.99
13 0.97 0.99
14 0.91 0.99
Power at Generator
Reactive Power ( Mvar ) Active Power ( MW )
Without
Without STATCOM With STATCOM With STATCOM
STATCOM
Generator 1 -56.25 -56.55 416.61 416.24
Generator 2 189.07 187.94 40.00 40.00
Generator 3 48.75 48.13 0.00 0.00
Generator 6 36.06 18.55 0.00 0.00
Generator 8 19.92 18.01 0.00 0.00
Grid Summary of Load Flow
Reactive Power ( Mvar ) Active Power ( MW )
Without STATCOM With STATCOM Without STATCOM With STATCOM
Generation 237.58 216.08 456.62 456.25
Grid Losses 138.64 117.39 42.22 41.85
Load 117.60 117.60 414.40 414.40
Case 5: Case 1 with 80% increase in load without STATCOM
Voltages at Bus
Bus Voltage in p.u. Angle (˚)
Number Without STATCOM With STATCOM Without STATCOM With STATCOM
1 1.05 1.05
2 1.05 1.05
3 0.98 0.98
4 0.97 0.97
5 0.97 0.97
6 1.02 1.02
7 0.99 1.00
8 1.04 1.04
9 0.97 0.98
10 0.97 0.97
11 0.98 0.99
12 0.98 0.99
13 0.96 0.98
14 0.90 0.97
Power at Generator
Reactive Power ( Mvar ) Active Power ( MW )
Without
Without STATCOM With STATCOM With STATCOM
STATCOM
Generator 1 -57.81 -58.15 481.72 481.09
Generator 2 220.42 219.10 40.00 40.00
Generator 3 67.11 66.43 0.00 0.00
Generator 6 49.94 31.96 0.00 0.00
Generator 8 24.90 22.61 0.00 0.00
Grid Summary of Load Flow
Reactive Power ( Mvar ) Active Power ( MW )
Without STATCOM With STATCOM Without STATCOM With STATCOM
Generation 304.27 281.97 521.73 521.10
Grid Losses 190.20 168.15 55.53 54.90
Load 132.30 132.30 466.20 466.20
Implementation STATCOM
Case PLoss(MW) PLoss(MVAR)
Before After Before After
1 14.76 14.76 31.94 10.69
2 22.03 22.05 60.24 40.13
3 31.12 30.96 95.59 74.97
4 42.22 41.85 138.64 117.39
5 55.53 54.90 190.20 168.15
𝑃𝑙𝑜𝑠𝑠𝑒𝑠 𝑝𝑙
𝑅= 𝐼2
= 𝐴
.
Where;
R : Resistance of conductor (Ω)
P : Resistivity of conductor (Ω)
l : Length of conductor (m)
A : Cross section area of conductor (m2)
𝜆
𝐿= 𝐼
.
Where;
L : Inductance (H)
I : Current (A)
𝜆 : Instantaneous flux linkage (Wb)
𝑞
𝐶= 𝑣
.
Where;
C : Capacitance (C)
q : Charge on conductor (C)
v : Potential difference between conductor (V)
2 𝛾𝐿
𝑍𝑒𝑥 = 𝑧𝑠 sinh 𝛾𝐿. and 𝑌𝑒𝑥 = 𝑍𝑠
tanh 2
.
Where;
Z : Series impedance
Y : Shunt admittance
L : length of line
𝑍
𝛾 = √𝑍𝑌. And 𝑍𝑠 = √𝑌.
Where;
𝛾 : Propagation constant
Zs : Surge impedance
𝐴 = cosh 𝛾𝐿.
𝐵 = −𝑍𝑠 sinh 𝛾𝐿.
1
𝐶 = − 𝑍 sinh 𝛾𝐿.
𝑠
𝐷 = cosh 𝛾𝐿.
𝑣 𝐴 𝐵 𝑣
[ 𝑟 ]= [ ] = [ 𝑠 ].
𝑖𝑟 𝐶 𝐷 𝑣𝑟
v v v
P = P0 ( aP ( ) ea1 + bP ( ) ea1 + ( 1 − aP − bP ) ∗ ( )ea1
v0 v0 v0
v v v
Q = Q0 ( aQ ( ) ea2 + bQ ( ) ea2 + ( 1 − aP − bP ) ∗ ( )ec2
v0 v0 v0
