capacitor placement result 14,30,33 bus location
DESCRIPTION
capacitor placement in power system to reduce transmission lossesTRANSCRIPT
Base LoadIEEE 14
Location Size (MVAr)
1 9 30.546 13.374 1.069 1.066 148.791385 12 5 25.349 13.315 1.033 1.038 170.202313 2
9 22.978 1.069 1.0613 5 24.625 13.274 1.033 1.036 214.280912 3
9 23.582 1.069 1.06113 10.192 1.077 1.060
4 9 27.601 13.268 1.069 1.062 210.97034 413 11.644 1.077 1.0613 19.707 1.030 1.0345 22.231 1.033 1.035
5 5 20.843 13.259 1.033 1.035 239.528647 510 11.185 1.069 1.0659 16.006 1.069 1.0603 20.48 1.030 1.036
13 10.717 1.077 1.062
10% ReductionIEEE 14
Location Size (kVAr)
1 9 28.065 10.535 1.072 1.065 215.246242 12 9 39.033 10.503 1.072 1.066 204.710151 2
6 17.673 1.104 1.0923 9 35.271 10.476 1.072 1.064 219.72819 3
6 10.792 1.099 1.09013 10.377 1.084 1.071
4 9 41.6 10.408 1.072 1.062 242.98443 46 13.291 1.099 1.085
13 11.517 1.084 1.0693 15.693 1.045 1.048
5 9 37.313 10.374 1.072 1.065 241.562927 56 22.345 1.099 1.084
13 22.819 1.084 1.0683 14.575 1.045 1.048
7 16.902 1.078 1.062
No. of Capacitor
Losses (kW)
Voltage before
capacitorVoltage after
capacitorElapsed time
(sec)No. of
Capacitor
No. of Capacitor
Losses (kW)
Voltage before
capacitorVoltage after
capacitorElapsed time
(sec)No. of
Capacitor
10% IncrementIEEE 14
Size (kVAr)
1 9 33.583 16.231 1.054 1.062 232.406446 12 9 26.692 16.19 1.054 1.065 237.82304 2
14 10.727 1.047 1.0563 9 45.483 16.014 1.054 1.065 212.44816 3
14 10.385 1.047 1.0486 26.424 1.088 1.078
4 9 42.078 15.89 1.054 1.062 250.556099 414 13.509 1.047 1.0546 40.984 1.088 1.077
13 11.167 1.068 1.0655 9 46.808 15.986 1.054 1.064 256.527691 5
14 10.007 1.047 1.0496 48.714 1.088 1.078
13 14.696 1.068 1.063
2 49.538 1.046 1.048
20% IncrementIEEE 14
Size (kVAr)
1 9 39.355 19.833 1.050 1.064 271.744594 12 9 33.282 19.661 1.050 1.055 275.95324 2
5 35.449 1.020 1.0293 9 25.918 19.606 1.050 1.058 255.394862 3
5 31.896 1.020 1.02913 12.378 1.063 1.058
4 9 26.831 19.538 1.050 1.059 245.518703 45 34.898 1.020 1.030
13 11.178 1.063 1.0572 44.603 1.045 1.045
5 9 47.204 19.504 1.050 1.059 243.261718 55 18.288 1.020 1.032
13 11.574 1.063 1.0532 48.283 1.045 1.046
6 14.672 1.084 1.077
No. of Capacitor
Capacitor Location
Losses (kW)
Voltage before
capacitorVoltage after
capacitorElapsed time
(sec)No. of
Capacitor
No. of Capacitor
Capacitor Location
Losses (kW)
Voltage before
capacitorVoltage after
capacitorElapsed time
(sec)No. of
Capacitor
30% IncrementIEEE 14
Size (kVAr)
1 4 44.781 23.992 1.020 1.013 322.638284 12 4 15.024 23.791 1.020 1.024 276.631956 2
9 42.684 1.032 1.0653 4 14.152 23.717 1.020 1.022 273.28145 3
9 35.52 1.032 1.06013 11.805 1.042 1.056
4 4 13.79 23.531 1.020 1.027 279.719196 49 27.217 1.032 1.058
13 12.907 1.042 1.0565 43.572 1.008 1.038
5 4 11.448 23.428 1.020 1.025 245.837562 59 29.185 1.032 1.059
13 10.549 1.042 1.0545 37.403 1.008 1.031
2 29.278 1.035 1.045
40% IncrementIEEE 14
Size (kVAr)
1 4 48.593 28.805 1.012 1.020 271.105734 1
24 48.015 28.686 1.012 1.016
262.9648522
13 15.397 1.038 1.045
3
4 45.178 28.187 1.012 1.021
235.3445
313 16.49 1.038 1.0589 39.03 1.024 1.064
4
4 10.698 27.963 1.012 1.014
245.927279
413 13 1.038 1.0549 34.064 1.024 1.0565 36.94 1.004 1.021
5
4 11.33 27.845 1.012 1.022
237.629756
513 12.938 1.038 1.0559 35.098 1.024 1.0605 41.317 1.004 1.029
2 20.562 1.035 1.045
No. of Capacitor
Capacitor Location
Losses (kW)
Voltage before
capacitorVoltage after
capacitorElapsed time
(sec)No. of
Capacitor
No. of Capacitor
Capacitor Location
Losses (kW)
Voltage before
capacitorVoltage after
capacitorElapsed time
(sec)No. of
Capacitor
Base LoadIEEE 30
Size (kVAr) Losses (kW) Elapsed time (sec)
4 41.909 17.639 1.003 1.030 223.2739134 37.689 17.479 1.003 1.026 204.1450324 13.335 0.991 1.0304 36.127 17.315 1.003 1.024 234.59448624 13.425 0.991 1.04610 33.05 1.014 1.0583 21.665 17.214 1.014 1.038 260.0069610 38.038 1.014 1.06224 11.319 0.991 1.0488 35.953 0.993 1.02424 13.097 17.026 0.991 1.038 294.89633526 40.204 0.977 1.05912 22.699 1.046 1.06310 42.959 1.014 1.049
3 15.308 1.014 1.038
10% ReductionIEEE 30
Size (kVAr) Losses (kW) Elapsed time (sec)
20 10.154 13.961 1.017 1.039 223.47776120 14.533 13.867 1.017 1.057 254.28244124 11.968 1.011 1.04120 12.169 13.787 1.017 1.054 270.83930724 12.274 1.011 1.0423 22.675 1.022 1.03720 11.606 13.746 1.017 1.063 238.77649124 12.209 1.011 1.0543 22.571 1.022 1.03821 12.891 1.016 1.05820 11.348 13.523 1.017 1.020 252.12734524 10.455 1.011 1.0193 25.377 1.022 1.025
21 14.100 1.016 1.0057 12.423 1.007 1.004
Capacitor Location
Voltage before
capacitorVoltage after
capacitor
Capacitor Location
Voltage before
capacitorVoltage after
capacitor
10% IncrementIEEE 30
Size (kVAr) Losses (kW) Elapsed time (sec)
3 34.823 22.1 1.012 1.029 354.4692013 26.833 21.872 1.012 1.045 236.2706894 46.134 0.987 1.0323 21.811 21.655 1.012 1.042 213.2174414 41.487 0.987 1.03024 16.322 0.967 1.0303 17.764 21.563 1.012 1.040 232.1505614 36.292 0.987 1.03024 11.455 0.967 1.04421 25.102 0.979 1.0543 21.938 21.425 1.012 1.042 225.119744 33.168 0.987 1.03024 14.039 0.967 1.04621 24.78 0.979 1.051
27 12.002 0.982 1.063
20% IncrementIEEE 30
Size (kVAr) Losses (kW) Elapsed time (sec)
25 16.915 27.529 0.95 1.016 372.74919625 14.4 27.093 0.95 1.03 341.29335817 23.63 0.973 1.03925 14.935 26.606 0.95 1.047 306.80859517 21.241 0.973 1.0494 47.727 0.974 1.02125 16.184 26.351 0.95 1.044 309.93196917 21.83 0.973 1.0564 43.505 0.974 1.02121 20.753 0.96 1.04825 14.364 26.302 0.95 1.046 278.93875517 21.447 0.973 1.0514 47.808 0.974 1.02321 20.752 0.96 1.045
3 30.588 0.989 1.036
Capacitor Location
Voltage before
capacitorVoltage after
capacitor
Capacitor Location
Voltage before
capacitorVoltage after
capacitor
30% IncrementIEEE 30
Size (kVAr) Losses (kW) Elapsed time (sec)
25 13.474 33.488 0.933 0.987 326.37405225 13.556 33.011 0.933 1.015 339.51148317 30.292 0.958 1.03625 13.332 32.294 0.933 1.026 324.52642517 28.724 0.958 1.0444 47.193 0.966 1.00725 22.242 31.623 0.933 1.067 299.54076117 23.935 0.958 1.0544 48.442 0.966 1.0333 47.557 0.981 1.05125 10.813 31.415 0.933 1.031 275.26632217 22.863 0.958 1.0464 41.74 0.966 1.0263 44.399 0.981 1.04
2 42.15 1.015 1.045
40% IncrementIEEE 30
Size (kVAr) Losses (kW) Elapsed time (sec)
27 41.771 40.032 0.935 1.073 326.85048127 16.638 38.843 0.935 1.035 306.15173621 44.141 0.928 1.03427 24.203 38.377 0.935 1.068 296.67714221 41.588 0.928 1.0437 45.722 0.944 1.00427 15.43 37.834 0.935 1.044 293.6994421 40.127 0.928 1.0397 25.897 0.944 1.0053 43.483 0.974 1.02527 15.724 37.538 0.935 1.062 285.71196221 31.253 0.928 1.0437 39.038 0.944 1.0193 47.511 0.974 1.051
4 49.939 0.957 1.034
Capacitor Location
Voltage before
capacitorVoltage after
capacitor
Capacitor Location
Voltage before
capacitorVoltage after
capacitor
14 Bus
1 2 3 4 513.2
13.24
13.28
13.32
13.36
13.4
Losses (kW)
Losses (kW)
No. of Capacitor
Loss
es
9 5 9 5 9 13 9 13 3 5 5 10 9 3 131
1.021.041.061.08
1.1
Voltage
Voltage before capaci-torVoltage after capacitor
capacitor location
volta
ge1 2 3 4 5
10.25
10.3
10.35
10.4
10.45
10.5
10.55
Losses (kW)
Losses (kW)
No. of Capacitor
Loss
es
9 9 6 9 6 13 9 6 13 3 9 6 13 3 71.0101.0201.0301.0401.0501.0601.0701.0801.0901.1001.110
Voltage
Voltage before capacitorVoltage after capacitor
capacitor locationvo
ltage
1 2 3 4 515.7
15.8
15.9
16
16.1
16.2
16.3
Losses (kW)
Losses (kW)
No. of Capacitor
Loss
es
9 9 14 9 14 6 9 14 6 13 9 14 6 13 21.02
1.03
1.04
1.05
1.06
1.07
1.08
1.09
1.1
Voltage
Voltage before capacitorVoltage after capacitor
capacitor location
volta
ge
1 2 3 4 515.7
15.8
15.9
16
16.1
16.2
16.3
Losses (kW)
Losses (kW)
No. of Capacitor
Loss
es
9 9 14 9 14 6 9 14 6 13 9 14 6 13 21.02
1.03
1.04
1.05
1.06
1.07
1.08
1.09
1.1
Voltage
Voltage before capacitorVoltage after capacitor
capacitor location
volta
ge
1 2 3 4 519.3
19.4
19.5
19.6
19.7
19.8
19.9
Losses (kW)
Losses (kW)
No. of Capacitor
Loss
es
9 9 5 9 5 13 9 5 13 2 9 5 13 2 60.980
1.000
1.020
1.040
1.060
1.080
1.100
Voltage
Voltage before capacitorVoltage after capacitor
capacitor location
volta
ge
1 2 3 4 523.123.223.323.423.523.623.723.823.9
2424.1
Losses (kW)
Losses (kW)
No. of Capacitor
Loss
es
4 4 9 4 9 13 4 9 13 5 4 9 13 5 20.9700.9800.9901.0001.0101.0201.0301.0401.0501.0601.070
Voltage
Voltage before capacitorVoltage after capacitor
capacitor location
volta
ge
1 2 3 4 527.227.427.627.8
2828.228.428.628.8
29
Losses (kW)
Losses (kW)
No. of Capacitor
Loss
es
4 4 13 4 13 9 4 13 9 5 4 13 9 5 20.970.980.99
11.011.021.031.041.051.061.07
Voltage
Voltage before capacitorVoltage after capacitor
capacitor location
volta
ge
1 2 3 4 527.227.427.627.8
2828.228.428.628.8
29
Losses (kW)
Losses (kW)
No. of Capacitor
Loss
es
4 4 13 4 13 9 4 13 9 5 4 13 9 5 20.970.980.99
11.011.021.031.041.051.061.07
Voltage
Voltage before capacitorVoltage after capacitor
capacitor location
volta
ge
1 2 3 4 5
0
5
10
15
20
25
30
Base CaseMedium Load (20%)
Base CaseLight LoadMedium Load (10%)Medium Load (20%)Heavy Load (30%)Heavy Load (40%)
1 2 3 4 5
0.96
1
1.04
1.08
Chart Title
Base CaseLight loadMedium Load (10%)Medium Load (20%)Heavy Load (30%)Heavy Load (40%)
No.of Capacitor
Axis Title
9 5 9 5 9 13 9 13 3 5 5 10 9 3 131
1.021.041.061.08
1.1
Voltage
Voltage before capaci-torVoltage after capacitor
capacitor location
volta
ge
9 9 6 9 6 13 9 6 13 3 9 6 13 3 71.0101.0201.0301.0401.0501.0601.0701.0801.0901.1001.110
Voltage
Voltage before capacitorVoltage after capacitor
capacitor location
volta
ge
9 9 14 9 14 6 9 14 6 13 9 14 6 13 21.02
1.03
1.04
1.05
1.06
1.07
1.08
1.09
1.1
Voltage
Voltage before capacitorVoltage after capacitor
capacitor location
volta
ge
9 9 14 9 14 6 9 14 6 13 9 14 6 13 21.02
1.03
1.04
1.05
1.06
1.07
1.08
1.09
1.1
Voltage
Voltage before capacitorVoltage after capacitor
capacitor location
volta
ge
9 9 5 9 5 13 9 5 13 2 9 5 13 2 60.980
1.000
1.020
1.040
1.060
1.080
1.100
Voltage
Voltage before capacitorVoltage after capacitor
capacitor location
volta
ge
4 4 9 4 9 13 4 9 13 5 4 9 13 5 20.9700.9800.9901.0001.0101.0201.0301.0401.0501.0601.070
Voltage
Voltage before capacitorVoltage after capacitor
capacitor location
volta
ge
4 4 13 4 13 9 4 13 9 5 4 13 9 5 20.970.980.99
11.011.021.031.041.051.061.07
Voltage
Voltage before capacitorVoltage after capacitor
capacitor location
volta
ge
4 4 13 4 13 9 4 13 9 5 4 13 9 5 20.970.980.99
11.011.021.031.041.051.061.07
Voltage
Voltage before capacitorVoltage after capacitor
capacitor location
volta
ge
1 2 3 4 5
0.96
1
1.04
1.08
Chart Title
Base CaseLight loadMedium Load (10%)Medium Load (20%)Heavy Load (30%)Heavy Load (40%)
No.of Capacitor
Axis Title
30 Bus
1 2 3 4 516.616.8
1717.217.417.617.8
Losses (kW)
Losses (kW)
No. of Capacitor
Loss
es
1 2 3 413.6
13.65
13.7
13.75
13.8
13.85
13.9
13.95
14
Losses (kW)
Losses (kW)
No. of Capacitor
Loss
es
1 2 3 4 521
21.2
21.4
21.6
21.8
22
22.2
Losses (kW)
Losses (kW)
No. of Capacitor
Loss
es
1 2 3 4 521
21.2
21.4
21.6
21.8
22
22.2
Losses (kW)
Losses (kW)
No. of CapacitorLo
sses
1 2 3 4 525.5
26
26.5
27
27.5
28
Losses (kW)
Losses (kW)
No. of Capacitor
Loss
es
1 2 3 4 530
30.5
31
31.5
32
32.5
33
33.5
34
Losses (kW)
Losses (kW)
No. of Capacitor
Loss
es
1 2 3 4 536
36.537
37.538
38.539
39.540
40.5
Losses (kW)
Losses (kW)
No. of Capacitor
Loss
es
1 2 3 4 536
36.537
37.538
38.539
39.540
40.5
Losses (kW)
Losses (kW)
No. of Capacitor
Loss
es
1 2 3 4 5
05
1015202530354045
Losses (kW) Base Case
Light Load
Medium Load (10%)
Medium Load (20%)
Heavy Load (30%)
Heavy Load (40%)
No. of Capacitor
loss
es
4 24 24 3 24 24 12 30.9
0.95
1
1.05
1.1
Voltage
Voltage before capaci-torVoltage after capacitor
capacitor location
volta
ge
20 20 24 20 24 3 20 24 3 210.980.99
11.011.021.031.041.051.061.07
Voltage
Voltage before capacitorVoltage after capacitor
capacitor location
volta
ge
3 3 4 3 4 24 3 4 2421 3 4 2421270.9
0.920.940.960.98
11.021.041.061.08
Voltage
Voltage before capacitorVoltage after capacitor
capacitor location
volta
ge
3 3 4 3 4 24 3 4 2421 3 4 2421270.9
0.920.940.960.98
11.021.041.061.08
Voltage
Voltage before capacitorVoltage after capacitor
capacitor location
volta
ge
2525172517 4 2517 4 212517 4 21 30.88
0.90.920.940.960.98
11.021.041.061.08
Voltage
Voltage before capacitorVoltage after capacitor
capacitor location
volta
ge
2525172517 4 2517 4 3 2517 4 3 20.85
0.9
0.95
1
1.05
1.1
Voltage
Voltage before capacitorVoltage after capacitor
capacitor location
volta
ge
2727212721 7 2721 7 3 2721 7 3 40.85
0.9
0.95
1
1.05
1.1
Voltage
Voltage before capacitorVoltage after capacitor
capacitor location
volta
ge
2727212721 7 2721 7 3 2721 7 3 40.85
0.9
0.95
1
1.05
1.1
Voltage
Voltage before capacitorVoltage after capacitor
capacitor locationvo
ltage
1 2 3 4 5
0.9400.9600.9801.0001.0201.0401.0601.080
Voltage (p.u.)
Base CaseLight loadMedium Load (10%)Medium Load (20%)Heavy Load (30%)Heavy Load (40%)
No. of Capacitor
Volta
ge
33 Bus
1 2 3 402468
1012
Losses (kW)
No. of Capacitor
Loss
es
1 2 3 40
2
4
6
8
10
12
Losses (kW)
No. of Capacitor
Loss
es
1 2 3 40
2
4
6
8
10
12
Losses (kW)
No. of Capacitor
Loss
es
1 2 3 40
2
4
6
8
10
12
Losses (kW)
No. of CapacitorLo
sses
1 2 3 40
2
4
6
8
10
12
Losses (kW)
No. of Capacitor
Loss
es
1 2 3 40
2
4
6
8
10
12
Losses (kW)
No. of Capacitor
Loss
es
1 2 3 40
2
4
6
8
10
12
Losses (kW)
No. of Capacitor
Loss
es
1 2 3 40
2
4
6
8
10
12
Losses (kW)
No. of Capacitor
Loss
es
1 2 34
0
2
4
6
8
10
Losses (kW)
No. of Capacitor
loss
es
02468
1012
Voltage
capacitor location
volta
ge
0.000
2.000
4.000
6.000
8.000
10.000
12.000
Voltage
capacitor location
volta
ge
0
2
4
6
8
10
12
Voltage
capacitor location
volta
ge
0
2
4
6
8
10
12
Voltage
capacitor location
volta
ge
0.000
2.000
4.000
6.000
8.000
10.000
12.000
Voltage
capacitor location
volta
ge
0
2
4
6
8
10
12
Voltage
capacitor location
volta
ge
0
2
4
6
8
10
12
Voltage
capacitor location
volta
ge
0
2
4
6
8
10
12
Voltage
capacitor locationvo
ltage
1 2 34
0
2
4
6
8
10
Losses (kW)
No. of Capacitor
loss
es
1 2 34
0123456789
10
Voltage (p.u.)
No. of Capacitor
volta
ge
1 2 34
0123456789
10
Voltage (p.u.)
No. of Capacitor
volta
ge
Base LoadIEEE 14
Location Size (MVAr)
1 9 30.546 13.374 10.535 16.231 19.833 23.992 28.8052 5 25.349 13.315 10.503 16.190 19.661 23.791 28.686
9 22.9783 5 24.625 13.274 10.476 16.014 19.606 23.717 28.187
9 23.58213 10.192
4 9 27.601 13.268 10.408 15.890 19.538 23.531 27.96313 11.6443 19.7075 22.231
5 5 20.843 13.259 10.334 15.586 19.504 23.428 27.84510 11.1859 16.0063 20.48
13 10.717
10% ReductionIEEE 14
Location Size (MVAr)
1 9 28.065 10.5352 9 39.033 10.503
6 17.6733 9 35.271 10.476
6 10.79213 10.377
4 9 41.600 10.4086 13.291
13 11.5173 15.693
5 9 37.313 10.3346 22.345
13 22.8193 14.5757 16.902
10% IncrementIEEE 14
No. of Capacitor
Losses (kW)
Losses (kW) (10%
Rd.)
Losses (kW) (10%)
Losses (kW) (20%)
Losses (kW) (30%)
Losses (kW) (40%)
No. of Capacitor
Losses (kW)
Size (MVAr)
1 9 33.583 16.2312 9 26.692 16.190
14 10.7273 9 45.483 16.014
14 10.3856 26.424
4 9 42.078 15.89014 13.5096 40.984
13 11.1675 9 46.808 15.586
14 10.0076 48.714
13 14.6962 49.538
20% IncrementIEEE 14
Size (MVAr)
1 9 39.355 19.8332 9 33.282 19.661
5 35.4493 9 25.918 19.606
5 31.89613 12.378
4 9 26.831 19.5385 34.898
13 11.1782 44.603
5 9 47.204 19.5045 18.288
13 11.5742 48.2836 14.672
30% IncrementIEEE 14
Size (MVAr)
1 4 44.781 23.992
No. of Capacitor
Capacitor Location
Losses (kW)
No. of Capacitor
Capacitor Location
Losses (kW)
No. of Capacitor
Capacitor Location
Losses (kW)
2 4 15.024 23.7919 42.684
3 4 14.152 23.7179 35.520
13 11.8054 4 13.790 23.531
9 27.21713 12.9075 43.572
5 4 11.448 23.4289 29.185
13 10.5495 37.4032 29.278
40% IncrementIEEE 14
Size (MVAr)
1 4 48.593 28.8052 4 48.015 28.686
13 15.3973 4 45.178 28.187
13 16.4909 39.030
4 4 10.698 27.96313 13.0009 34.0645 36.940
5 4 11.33 27.84513 12.9389 35.0985 41.3172 20.562
No. of Capacitor
Capacitor Location
Losses (kW)
Base Load
1.069 1.066 1.068 1.062 1.064 1.013 1.0081.033 1.038 1.070 1.065 1.055 1.024 1.011.069 1.061 1.100 1.056 1.029 1.065 1.0311.033 1.036 1.07 1.07 1.058 1.022 1.0211.069 1.061 1.100 1.048 1.029 1.06 1.0581.087 1.06 1.091 1.098 1.058 1.056 1.0641.069 1.062 1.062 1.062 1.059 1.027 1.0141.087 1.061 1.099 1.054 1.03 1.058 1.0541.030 1.034 1.091 1.092 1.057 1.056 1.0561.033 1.035 1.02 1.067 1.045 1.048 1.0211.033 1.035 1.065 1.065 1.059 1.025 1.0221.069 1.065 1.095 1.049 1.032 1.059 1.0551.069 1.06 1.088 1.084 1.053 1.054 1.061.030 1.036 1.048 1.063 1.045 1.031 1.0291.087 1.062 1.088 1.045 1.085 1.045 1.045
10% Reduction
1.078 1.0681.078 1.0701.120 1.1001.078 1.0701.120 1.1001.099 1.0911.078 1.0621.120 1.0991.099 1.0911.040 1.0201.078 1.0651.120 1.0951.099 1.0881.040 1.0201.092 1.090
10% Increment
Voltage before
capacitorVoltage after
capacitorVoltage after
capacitorVoltage after
capacitorVoltage after
capacitorVoltage after
capacitorVoltage after
capacitor
Voltage before
capacitorVoltage after
capacitor
1.059 1.0521.059 1.0521.047 1.0461.059 1.0481.047 1.0431.100 1.0981.059 1.0491.047 1.0541.100 1.0921.075 1.0671.059 1.0431.047 1.0491.100 1.0841.075 1.0631.045 1.025
20% Increment
1.050 1.0541.050 1.0151.020 1.0091.050 1.0581.020 1.0091.063 1.0581.050 1.0591.020 1.0101.063 1.0571.045 1.0351.050 1.0431.020 1.0221.063 1.0531.045 1.0341.090 1.088
30% Increment
1.020 1.011
Voltage before
capacitorVoltage after
capacitor
Voltage before
capacitorVoltage after
capacitor
Voltage before
capacitorVoltage after
capacitor
1.020 1.0281.032 1.0251.020 1.0121.032 1.0481.042 1.0361.020 1.0271.032 1.0351.042 1.0441.045 1.0341.020 1.0251.032 1.0291.042 1.0451.045 1.0311.035 1.030
40% Increment
1.012 0.9961.012 1.0011.038 1.0311.012 1.0211.038 1.0481.024 1.0191.012 1.0141.038 1.0451.024 1.0301.015 1.0181.012 1.0221.038 1.0351.024 1.0301.015 1.0291.035 1.025
Voltage before
capacitorVoltage after
capacitor
Base LoadIEEE 30
148.791385 4 41.909 17.639 1.003 1.030170.202313 4 37.689 17.479 1.003 1.026
24 13.335 0.991 1.030214.280912 4 36.127 17.315 1.003 1.024
24 13.425 0.991 1.04610 33.05 1.014 1.058
210.97034 3 21.665 17.214 1.014 1.03810 38.038 1.014 1.05424 11.319 0.991 1.0388 35.953 0.993 1.020
239.528647 24 13.097 17.026 0.991 1.03826 40.204 0.977 1.03912 22.699 1.046 1.03810 42.959 1.014 1.0093 15.308 1.014 1.013
10% ReductionIEEE 30
215.246242 20 10.154 13.961 1.017 1.029204.710151 20 14.533 13.867 1.017 1.034
24 11.968 1.011 1.019219.72819 20 12.169 13.787 1.017 1.024
24 12.274 1.011 1.0123 22.675 1.022 1.037
242.98443 20 11.606 13.746 1.017 1.02424 12.209 1.011 1.0143 22.571 1.022 1.039
21 12.891 1.016 1.009241.562927 20 11.348 13.523 1.017 1.020
24 10.455 1.011 1.0193 25.377 1.022 1.025
21 14.100 1.016 1.0057 12.423 1.007 1.004
10% IncrementIEEE 30
Elapsed time (sec)
Capacitor Location
Size (MVAr)
Losses (kW)
Voltage before
capacitorVoltage after
capacitor
Elapsed time (sec)
Capacitor Location
Size (MVAr)
Losses (kW)
Voltage before
capacitorVoltage after
capacitor
232.406446 3 34.823 22.100 1.012 1.007237.82304 3 26.833 21.872 1.012 1.024
4 46.134 0.987 1.032212.44816 3 21.811 21.655 1.012 1.025
4 41.487 0.987 1.03024 16.322 0.967 1.030
250.556099 3 17.764 21.563 1.012 1.0404 36.292 0.987 1.030
24 11.455 0.967 1.04421 25.102 0.979 1.034
256.527691 3 21.938 21.425 1.012 1.0244 33.168 0.987 1.030
24 14.039 0.967 1.03221 24.780 0.979 1.03527 12.002 0.982 1.013
20% IncrementIEEE 30
271.744594 25 16.915 27.529 0.950 1.016275.953240 25 14.400 27.093 0.950 1.030
17 23.630 0.973 1.039255.394862 25 14.935 26.606 0.950 1.028
17 21.241 0.973 1.0444 47.727 0.974 1.021
245.518703 25 16.184 26.351 0.950 1.03017 21.830 0.973 1.0424 43.505 0.974 1.021
21 20.753 0.960 1.038243.261718 25 14.364 26.294 0.950 1.034
17 21.447 0.973 1.0384 47.808 0.974 1.020
21 20.752 0.960 1.0383 30.588 0.989 1.016
30% IncrementIEEE 30
322.638284 25 13.474 33.488 0.933 0.987
Elapsed time (sec)
Capacitor Location
Size (MVAr)
Losses (kW)
Voltage before
capacitorVoltage after
capacitor
Elapsed time (sec)
Capacitor Location
Size (MVAr)
Losses (kW)
Voltage before
capacitorVoltage after
capacitor
Elapsed time (sec)
Capacitor Location
Size (MVAr)
Losses (kW)
Voltage before
capacitorVoltage after
capacitor
276.631956 25 13.556 33.011 0.933 1.01517 30.292 0.958 1.036
273.28145 25 13.332 32.294 0.933 1.02617 28.724 0.958 1.0384 47.193 0.966 1.007
279.719196 25 22.242 31.623 0.933 1.01717 23.935 0.958 1.0484 48.442 0.966 1.0053 47.557 0.981 1.021
245.837562 25 10.813 31.415 0.933 1.03117 22.863 0.958 1.0464 41.740 0.966 1.0263 44.399 0.981 1.0142 42.150 1.015 1.005
40% IncrementIEEE 30
271.105734 27 41.771 40.032 0.935 1.037262.964852 27 16.638 38.843 0.935 1.054
21 44.141 0.928 1.034235.344500 27 24.203 38.377 0.935 1.045
21 41.588 0.928 1.0387 45.722 0.944 1.004
245.927279 27 15.430 37.834 0.935 1.04421 40.127 0.928 1.0397 25.897 0.944 0.9913 43.483 0.974 1.025
237.629756 27 15.724 37.480 0.935 1.03921 31.253 0.928 1.0437 39.038 0.944 1.0193 47.511 0.974 1.0304 49.939 0.957 1.034
Elapsed time (sec)
Capacitor Location
Size (MVAr)
Losses (kW)
Voltage before
capacitorVoltage after
capacitor
Base LoadIEEE 33
223.273913 12 49.027 173.249 0.868 0.886 239.035626204.14503 12 47.045 167.914 0.868 0.881 237.778733
14 42.895 0.873 0.890234.594486 10 38.422 163.304 0.871 0.884 239.630848
11 43.340 0.869 0.88229 43.240 0.924 0.938
260.00696 29 48.276 160.733 0.924 0.935 238.59439411 47.118 0.869 0.88722 47.288 0.883 0.89913 49.65 0.863 0.882
294.896335 21 46.158 156.805 0.906 0.922 240.23689312 48.171 0.868 0.88925 43.545 0.943 0.95722 48.068 0.883 0.90410 38.806 0.871 0.892
10% ReductionIEEE 33
223.477761 15 49.532 137.943 0.900 0.938 224.954238254.282441 15 38.688 134.853 0.900 0.911 204.327381
10 46.116 0.885 0.896270.839307 15 45.936 131.124 0.900 0.919 237.517519
10 49.806 0.885 0.90314 49.959 0.888 0.909
238.776491 15 43.366 128.162 0.900 0.919 236.44945810 49.531 0.885 0.91214 48.951 0.888 0.90630 46.980 0.933 0.946
252.127345 15 49.453 125.980 0.900 0.924 227.33835310 38.417 0.885 0.90614 46.238 0.888 0.91530 48.784 0.933 0.94613 46.957 0.878 0.906
10% IncrementIEEE 33
Elapsed time (sec)
Capacitor Location
Size (MVAr)
Losses (kW)
Voltage before
capacitorVoltage after
capacitorElapsed time
(sec)
Elapsed time (sec)
Capacitor Location
Size (MVAr)
Losses (kW)
Voltage before
capacitorVoltage after
capacitorElapsed time
(sec)
354.469201 15 49.233 215.969 0.874 0.895 235.947726236.270689 15 48.663 210.157 0.874 0.889 237.687629
13 49.219 0.846 0.873213.217441 15 47.503 206.146 0.874 0.893 236.735734
13 44.875 0.846 0.86810 44.218 0.856 0.873
232.150561 15 44.173 200.720 0.874 0.893 237.3255713 49.727 0.846 0.87810 47.663 0.856 0.87429 47.995 0.915 0.929
225.11974 15 46.353 195.651 0.874 0.898 236.66038913 49.750 0.846 0.87910 48.217 0.856 0.88229 43.960 0.915 0.92412 49.807 0.852 0.890
20% IncrementIEEE 33
372.749196 15 49.558 263.394 0.860 0.872 235.464741341.293358 15 49.993 257.144 0.860 0.877 234.151728
14 49.888 0.843 0.861306.808595 15 49.780 251.699 0.860 0.881 216.162212
14 44.242 0.843 0.86510 49.428 0.840 0.858
309.931969 15 49.120 246.611 0.860 0.886 208.43462914 46.493 0.843 0.87110 46.951 0.840 0.86611 49.787 0.837 0.864
278.938755 15 47.765 238.154 0.860 0.890 208.99118614 48.009 0.843 0.87510 49.309 0.840 0.87211 46.832 0.837 0.8699 48.343 0.862 0.888
30% IncrementIEEE 33
326.374052 15 49.845 317.143 0.846 0.855 201.481466
Elapsed time (sec)
Capacitor Location
Size (MVAr)
Losses (kW)
Voltage before
capacitorVoltage after
capacitorElapsed time
(sec)
Elapsed time (sec)
Capacitor Location
Size (MVAr)
Losses (kW)
Voltage before
capacitorVoltage after
capacitorElapsed time
(sec)
Elapsed time (sec)
Capacitor Location
Size (MVAr)
Losses (kW)
Voltage before
capacitorVoltage after
capacitorElapsed time
(sec)
339.511483 15 49.400 310.042 0.846 0.863 209.11670114 48.542 0.827 0.845
324.526425 15 49.493 307.247 0.846 0.863 211.85138114 49.735 0.827 0.84531 47.482 0.936 0.949
299.540761 15 47.723 298.390 0.846 0.867 215.79031314 47.409 0.827 0.85031 49.939 0.936 0.94210 49.599 0.823 0.843
275.266322 15 47.475 289.386 0.846 0.871 211.59372814 47.460 0.827 0.85531 48.486 0.936 0.93910 40.219 0.823 0.84913 47.847 0.812 0.840
40% IncrementIEEE 33
326.850481 15 49.460 377.962 0.831 0.845 201.663797306.151736 15 48.639 368.300 0.831 0.847 208.412680
13 49.592 0.793 0.812296.677142 15 46.119 360.519 0.831 0.852 210.919892
13 48.509 0.793 0.81911 47.675 0.803 0.824
293.69944 15 48.019 354.134 0.831 0.852 217.53739913 47.158 0.793 0.81911 49.260 0.803 0.82430 47.469 0.890 0.899
285.711962 15 44.559 346.475 0.831 0.859 218.84385613 48.132 0.793 0.82711 48.695 0.803 0.83030 49.187 0.890 0.89514 46.072 0.810 0.842
Elapsed time (sec)
Capacitor Location
Size (MVAr)
Losses (kW)
Voltage before
capacitorVoltage after
capacitorElapsed time
(sec)
Base Load
Losses (kW) Losses (kW)
one cap 13.374 17.639 173.249two cap 13.315 17.479 167.914
three cap 13.274 17.315 163.304four cap 13.268 17.214 160.733five cap 13.259 17.026 156.805
10% Reduction
Losses (kW) Losses (kW)
one cap 10.535 13.961 137.943two cap 10.503 13.867 134.853
three cap 10.476 13.787 131.124four cap 10.408 13.746 128.162five cap 10.374 13.523 125.980
10% Increment
Losses (kW) Losses (kW)
one cap 16.231 22.1 215.969two cap 16.19 21.872 210.157
three cap 16.014 21.655 206.146four cap 15.89 21.563 200.720five cap 15.986 21.425 195.651
20% Increment
Losses (kW) Losses (kW)
one cap 19.833 27.529 263.394two cap 19.661 27.093 257.144
three cap 19.606 26.606 251.699four cap 19.538 26.351 246.611five cap 19.504 26.302 238.154
30% Increment
No. of Capacitor
Losses (kW)
No. of Capacitor
Losses (kW)
No. of Capacitor
Losses (kW)
No. of Capacitor
Losses (kW)
one cap two cap three cap four cap five cap
14 Bus 13.374 13.315 13.274 13.268 13.259
30 Bus 17.639 17.479 17.315 17.214 17.026
33 Bus 173.249 167.914 163.304 160.733 156.805
25
75
125
175
variation in losses with different system at base load
loss
es
one cap two cap three cap four cap five cap
14 Bus 10.535 10.503 10.476 10.408 10.374
30 Bus 13.961 13.867 13.787 13.746 13.523
33 Bus 137.943 134.853 131.124 128.162 125.980
10
50
90
130
variation in losses with different system at 10% load Decrement
loss
es
one cap two cap three cap four cap five cap
14 Bus 16.231 16.19 16.014 15.89 15.986
30 Bus 22.1 21.872 21.655 21.563 21.425
33 Bus 215.969 210.157 206.146 200.720 195.651
25
75
125
175
225
variation in losses with different system at 10% load Increment
loss
es
one cap two cap three cap four cap five cap
14 Bus 19.833 19.661 19.606 19.538 19.504
30 Bus 27.529 27.093 26.606 26.351 26.302
33 Bus 263.394 257.144 251.699 246.611 238.154
2575
125175225275
variation in losses with different system at 20% load Increment
loss
es
Losses (kW) Losses (kW)
one cap 23.992 33.488 317.143two cap 23.791 33.011 310.042
three cap 23.717 32.294 307.247four cap 23.531 31.623 298.390five cap 23.428 31.415 289.386
40% Increment
Losses (kW) Losses (kW)
one cap 28.805 40.032 377.962two cap 28.686 38.843 368.300
three cap 28.187 38.377 360.519four cap 27.963 37.834 354.134five cap 27.845 37.538 346.475
No. of Capacitor
Losses (kW)
No. of Capacitor
Losses (kW)
one cap two cap three cap four cap five cap
14 Bus 19.833 19.661 19.606 19.538 19.504
30 Bus 27.529 27.093 26.606 26.351 26.302
33 Bus 263.394 257.144 251.699 246.611 238.154
2575
125175225275
variation in losses with different system at 20% load Increment
loss
es
one cap two cap three cap four cap five cap
14 Bus 23.992 23.791 23.717 23.531 23.428
30 Bus 33.488 33.011 32.294 31.623 31.415
33 Bus 317.143 310.042 307.247 298.390 289.386
2575
125175225275325
variation in losses with different system at 30% load Increment
loss
es
one cap two cap three cap four cap five cap
14 Bus 28.805 28.686 28.187 27.963 27.845
30 Bus 40.032 38.843 38.377 37.834 37.538
33 Bus 377.962 368.300 360.519 354.134 346.475
25
125
225
325
variation in losses with different system at 40% load Increment
loss
es
one cap two cap three cap four cap five cap
14 Bus 13.374 13.315 13.274 13.268 13.259
30 Bus 17.639 17.479 17.315 17.214 17.026
33 Bus 173.249 167.914 163.304 160.733 156.805
25
75
125
175
variation in losses with different system at base load
loss
es
one cap two cap three cap four cap five cap
14 Bus 10.535 10.503 10.476 10.408 10.374
30 Bus 13.961 13.867 13.787 13.746 13.523
33 Bus 137.943 134.853 131.124 128.162 125.980
10
50
90
130
variation in losses with different system at 10% load Decrement
loss
es
one cap two cap three cap four cap five cap
14 Bus 16.231 16.19 16.014 15.89 15.986
30 Bus 22.1 21.872 21.655 21.563 21.425
33 Bus 215.969 210.157 206.146 200.720 195.651
25
75
125
175
225
variation in losses with different system at 10% load Increment
loss
es
one cap two cap three cap four cap five cap
14 Bus 19.833 19.661 19.606 19.538 19.504
30 Bus 27.529 27.093 26.606 26.351 26.302
33 Bus 263.394 257.144 251.699 246.611 238.154
2575
125175225275
variation in losses with different system at 20% load Increment
loss
es
one cap two cap three cap four cap five cap
14 Bus 19.833 19.661 19.606 19.538 19.504
30 Bus 27.529 27.093 26.606 26.351 26.302
33 Bus 263.394 257.144 251.699 246.611 238.154
2575
125175225275
variation in losses with different system at 20% load Incrementlo
sses
one cap two cap three cap four cap five cap
14 Bus 23.992 23.791 23.717 23.531 23.428
30 Bus 33.488 33.011 32.294 31.623 31.415
33 Bus 317.143 310.042 307.247 298.390 289.386
2575
125175225275325
variation in losses with different system at 30% load Increment
loss
es
one cap two cap three cap four cap five cap
14 Bus 28.805 28.686 28.187 27.963 27.845
30 Bus 40.032 38.843 38.377 37.834 37.538
33 Bus 377.962 368.300 360.519 354.134 346.475
25
125
225
325
variation in losses with different system at 40% load Increment
loss
es