power systems optimization

1. S.dogan
SIRA NUMARASI 2 A.P-Q (PARETO) VSI
B.OPF (P) OPTİMİZASYON
3-) A. HAZIRLANAN PROGRAM P-Q (PARETO) VSI
Daha önceden elimizde olan P ve Q optimizasyonunu pareto yöntemiyle yapan kodumuzun ulas.m
dosyasına derste hazırlamış olduğumuz stability adlı kodu ekledik ve matlab denemesini verilen
9-baralık sistemin bus data ve line değerleri için çalıştırdık. Genetik algoritma aşağıda
gösterilmiştir.
 Çıkan eğride en optimum nokta işaretlenmiştir ve command windowda seçilmiştir.

2. S.dogan
 14.durum seçildikten sonra sistemin gerilim kararlılık indeksi ve kayıplar command
windowdan kopyalanmıştır.
14
Kontrol değişkenleri
Columns 1 through 6
99.5375 85.4549 1.0077 1.0371 1.0152 0.9579
Columns 7 through 8
0.9674 1.0331
Power Flow Solution by Newton-Raphson Method
Maximum Power Mismatch = 3.26938e-12
No. of Iterations = 5
Bus Voltage Angle ------Load------ ---Generation--- Injected
No. Mag. Degree MW Mvar MW Mvar Mvar
1 1.008 0.000 0.000 0.000 132.478 -50.202 0.000
2 1.037 -0.281 0.000 0.000 99.537 -47.938 0.000
3 1.015 -0.571 0.000 0.000 85.455 -72.848 0.000
4 1.090 -3.783 0.000 0.000 0.000 0.000 0.000
5 1.086 -7.067 125.000 50.000 0.000 0.000 0.000
6 1.100 -6.265 90.000 30.000 0.000 0.000 0.000
7 1.100 -3.502 0.000 0.000 0.000 0.000 0.000
8 1.097 -5.324 100.000 35.000 0.000 0.000 0.000
9 1.099 -3.040 0.000 0.000 0.000 0.000 0.000
Total 315.000 115.000 317.470 -170.987 0.000
Line Flow and Losses
--Line-- Power at bus & line flow --Line loss-- Transformer
from to MW Mvar MVA MW Mvar tap
1 132.478 -50.202 141.671
4 132.478 -50.202 141.671 0.000 10.275 0.950
2 99.537 -47.938 110.480
7 99.537 -47.938 110.480 0.000 7.093
3 85.455 -72.848 112.291
9 85.455 -72.848 112.291 0.000 6.607 0.960
4 0.000 0.000 0.000
1 -132.478 60.476 145.629 0.000 10.275
6 52.825 -38.431 65.325 0.454 -35.437
5 79.653 -22.045 82.648 0.534 -37.135
5 -125.000 -50.000 134.629

3. S.dogan
7 -45.881 -34.910 57.652 0.572 -70.198
4 -79.119 -15.090 80.546 0.534 -37.135
6 -90.000 -30.000 94.868
4 -52.371 2.994 52.456 0.454 -35.437
9 -37.629 -32.994 50.046 0.491 -84.391
7 0.000 0.000 0.000
8 53.085 -19.743 56.638 0.198 -34.277
2 -99.537 55.031 113.737 0.000 7.093 1.030
5 46.452 -35.288 58.336 0.572 -70.198
8 -100.000 -35.000 105.948
9 -47.113 -20.466 51.366 0.222 -48.524
7 -52.887 -14.534 54.847 0.198 -34.277
9 0.000 0.000 0.000
6 38.120 -51.397 63.991 0.491 -84.391
3 -85.455 79.455 116.686 0.000 6.607
8 47.335 -28.058 55.026 0.222 -48.524
Columns 1 through 6
99.5375 85.4549 1.0077 1.0371 1.0152 0.9579
Columns 7 through 8
0.9674 1.0331
Maliyet
1.1388e+03
Kayıp Güç
2.4704
Emission
0
gguc =
1.0000 4.0000 141.6709 250.0000
3.0000 9.0000 112.2914 300.0000
4.0000 6.0000 65.3253 250.0000
5.0000 4.0000 80.5456 250.0000
6.0000 9.0000 50.0457 150.0000
7.0000 2.0000 113.7370 250.0000
7.0000 5.0000 58.3358 250.0000
8.0000 7.0000 54.8475 250.0000
9.0000 8.0000 55.0259 150.0000
max_L_index
0.1064

4. S.dogan
3-) B. HAZIRLANAN PROGRAM OPF (P) OPTİMİZASYON
 3.JENARTÖR SALINIM BARASI SEÇİLECEK VE ŞÖNT KAPASİTELER DURUM
DEĞİŞKENİ YAPILACAK
 TCSC 6 İLE 9. BARALAR ARASINA EKLENMİŞTİR.
 10, 12, 15, 17, 20, 21, 24, 25, 29 BARALAR Qc'LER DURUM DEĞİŞKENİ
ALINMIŞTIR.
Optimization terminated: stop requested from plot function.
Elapsed time is 165.968656 seconds.
Kontrol değişkenleri
Columns 1 through 6
196.1563 48.5124 34.9323 0 19.5591 0
Columns 7 through 12
23.3572 0 0 0 0 0
Columns 13 through 18
0 0 1.0056 1.0491 1.0353 1.0029
Columns 19 through 24
1.0228 1.0383 1.0120 1.0272 1.0065 1.0258
Columns 25 through 30
1.0219 1.0248 1.0153 1.0227 1.0415 1.0720

5. S.dogan
Columns 31 through 33
1.0209 1.0638 1.0344
Power Flow Solution by Newton-Raphson Method
Maximum Power Mismatch = 3.07182e-08
No. of Iterations = 4
Bus Voltage Angle ------Load------ ---Generation--- Injected
No. Mag. Degree MW Mvar MW Mvar Mvar
1 1.006 0.000 94.200 19.000 26.112 8.848 0.000
2 1.049 10.980 0.000 0.000 196.156 -14.090 0.000
3 1.035 6.883 21.700 12.700 48.512 14.427 0.000
4 1.003 2.045 30.000 30.000 34.932 14.364 0.000
5 1.023 -6.165 58.000 2.000 0.000 -6.854 0.000
6 1.038 -0.901 0.000 0.000 19.559 8.401 0.000
7 1.012 -2.084 11.200 7.500 0.000 -18.924 0.000
8 1.027 -0.282 0.000 0.000 23.357 11.505 0.000
9 1.006 -4.172 8.200 2.500 0.000 4.499 0.000
10 1.026 -6.076 9.000 5.800 0.000 19.757 0.000
11 1.022 -6.765 2.200 0.700 0.000 13.278 0.000
12 1.025 -6.826 17.500 11.200 0.000 27.772 0.000
13 1.015 -6.371 8.700 6.700 0.000 7.725 0.000
14 1.023 -5.528 0.000 0.000 0.000 5.258 0.000
15 1.041 -6.695 2.400 0.900 0.000 12.622 0.000
16 1.019 4.556 2.400 1.200 0.000 0.000 0.000
17 1.012 3.250 7.600 1.600 0.000 0.000 0.000
18 1.007 1.960 0.000 0.000 0.000 0.000 0.000
19 0.999 0.621 22.800 10.900 0.000 0.000 0.000
20 1.022 -3.098 0.000 0.000 0.000 0.000 0.000
21 1.005 -3.466 6.200 1.600 0.000 0.000 0.000
22 1.014 -4.295 3.500 1.800 0.000 0.000 0.000
23 1.009 -5.855 3.200 0.900 0.000 0.000 0.000
24 1.014 -6.646 9.500 3.400 0.000 0.000 0.000
25 1.024 -6.706 0.000 0.000 0.000 0.000 0.000
26 1.006 -5.277 3.200 1.600 0.000 0.000 0.000
27 1.005 -5.943 3.500 2.300 0.000 0.000 0.000
28 1.025 -4.423 0.000 0.000 0.000 0.000 0.000
29 0.982 0.439 0.000 0.000 0.000 0.000 0.000
30 1.015 -7.084 10.600 1.900 0.000 0.000 0.000
31 1.007 1.783 0.000 0.000 0.000 0.000 0.000
Total 335.600 126.200 348.629 108.589 0.000
Line Flow and Losses
--Line-- Power at bus & line flow --Line loss-- Transformer
from to MW Mvar MVA MW Mvar tap
1 -68.088 -10.152 68.840

6. S.dogan
3 -62.086 -17.659 64.548 1.805 -35.951
19 -6.002 7.507 9.611 0.050 -1.923
2 196.156 -14.090 196.662
3 130.441 -16.462 131.475 3.000 3.250
16 65.716 2.373 65.759 1.782 2.939
3 26.812 1.727 26.868
2 -127.440 19.712 128.956 3.000 3.250
17 39.002 0.438 39.005 0.812 -1.381
1 63.891 -18.292 66.458 1.805 -35.951
18 51.360 -0.131 51.360 1.432 0.444
4 4.932 -15.636 16.395
18 0.679 -10.482 10.504 0.012 -0.867
29 4.253 -5.154 6.682 0.171 -4.163
5 -58.000 -8.854 58.672
18 -26.180 4.763 26.610 0.000 3.764
20 -50.851 1.928 50.888 -0.000 2.723
11 4.544 -1.555 4.803 0.021 0.046
10 -2.895 -2.575 3.875 0.005 0.012
12 12.244 -8.399 14.848 0.073 0.158
25 5.139 -3.016 5.958 0.025 0.051
6 19.559 8.401 21.287
20 19.559 8.401 21.287 0.000 0.874
7 -11.200 -26.424 28.699
17 -37.185 1.804 37.229 0.000 3.464
8 -23.357 -10.605 25.652 0.000 0.900
21 8.855 -1.528 8.986 0.097 0.202
9 24.575 -7.651 25.739 0.428 0.844
22 15.912 -8.443 18.013 0.299 0.630
8 23.357 11.505 26.037
7 23.357 11.505 26.037 0.000 0.900
9 -8.200 1.999 8.440
7 -24.147 8.495 25.598 0.428 0.844
21 -2.520 3.364 4.203 0.039 0.035
23 10.644 -6.133 12.285 0.159 0.326
26 7.823 -3.727 8.665 0.074 0.150
10 -9.000 13.957 16.607
22 -11.900 11.370 16.459 0.212 0.497
5 2.900 2.587 3.886 0.005 0.012
11 -2.200 12.578 12.769
24 2.324 10.977 11.220 0.041 0.082

7. S.dogan
5 -4.524 1.602 4.799 0.021 0.046
12 -17.500 16.572 24.101
5 -12.170 8.557 14.877 0.073 0.158
25 -5.330 8.015 9.625 0.010 0.021
13 -8.700 1.025 8.760
25 0.252 -4.886 4.893 0.027 0.042
26 -4.483 5.612 7.182 0.066 0.135
14 -4.470 0.300 4.480 0.037 0.064
14 0.000 5.258 5.258
13 4.506 -0.236 4.513 0.037 0.064
27 3.544 2.366 4.261 0.044 0.066
28 -8.051 3.128 8.637 0.078 0.149
15 -2.400 11.722 11.966
28 -6.177 7.581 9.779 0.194 0.366
30 3.777 4.141 5.605 0.070 0.131
16 -2.400 -1.200 2.683
2 -63.933 0.566 63.936 1.782 2.939
17 61.533 -1.766 61.559 0.482 0.516
17 -7.600 -1.600 7.767
3 -38.190 -1.819 38.233 0.812 -1.381
16 -61.052 2.283 61.095 0.482 0.516
18 54.457 -3.724 54.584 0.346 0.287
7 37.185 1.661 37.222 0.000 3.464
18 0.000 0.000 0.000
3 -49.928 0.575 49.931 1.432 0.444
17 -54.111 4.011 54.260 0.346 0.287
19 29.075 0.445 29.078 0.223 -1.024
4 -0.667 9.615 9.638 0.012 -0.867
5 26.180 -1.000 26.199 0.000 3.764
29 18.159 -9.758 20.615 0.688 -1.043
31 31.292 -3.888 31.533 0.000 0.098
19 -22.800 -10.900 25.272
1 6.052 -9.430 11.205 0.050 -1.923
18 -28.852 -1.470 28.889 0.223 -1.024
20 0.000 0.000 0.000
31 -31.292 6.732 32.008 -0.000 2.745
6 -19.559 -7.527 20.957 0.000 0.874
5 50.851 0.795 50.857 -0.000 2.723
21 -6.200 -1.600 6.403
7 -8.758 1.730 8.927 0.097 0.202

8. S.dogan
9 2.558 -3.330 4.199 0.039 0.035
22 -3.500 -1.800 3.936
7 -15.612 9.072 18.057 0.299 0.630
10 12.112 -10.872 16.276 0.212 0.497
23 -3.200 -0.900 3.324
9 -10.485 6.459 12.314 0.159 0.326
24 7.285 -7.359 10.355 0.067 0.136
24 -9.500 -3.400 10.090
23 -7.217 7.495 10.405 0.067 0.136
11 -2.283 -10.895 11.132 0.041 0.082
25 0.000 0.000 0.000
5 -5.114 3.067 5.963 0.025 0.051
12 5.340 -7.994 9.614 0.010 0.021
13 -0.226 4.928 4.933 0.027 0.042
26 -3.200 -1.600 3.578
9 -7.749 3.877 8.664 0.074 0.150
13 4.549 -5.477 7.119 0.066 0.135
27 -3.500 -2.300 4.188
14 -3.500 -2.300 4.188 0.044 0.066
28 0.000 0.000 0.000
14 8.129 -2.979 8.657 0.078 0.149
29 -21.553 12.000 24.669 0.000 2.293
15 6.371 -7.215 9.625 0.194 0.366
30 7.054 -1.806 7.281 0.162 0.304
29 0.000 0.000 0.000
28 21.553 -9.706 23.638 0.000 2.293
4 -4.081 0.991 4.200 0.171 -4.163
18 -17.472 8.715 19.525 0.688 -1.043
30 -10.600 -1.900 10.769
28 -6.892 2.110 7.208 0.162 0.304
15 -3.708 -4.010 5.462 0.070 0.131
31 0.000 0.000 0.000
20 31.292 -3.986 31.545 -0.000 2.745
18 -31.292 3.986 31.545 0.000 0.098
Total loss 13.029 -17.611
Qgen>Qgmax
Qgen<Qgmin
S>Smax
Columns 1 through 6

9. S.dogan
196.1563 48.5124 34.9323 0 19.5591 0
Columns 7 through 12
23.3572 0 0 0 0 0
Columns 13 through 18
0 0 1.0056 1.0491 1.0353 1.0029
Columns 19 through 24
1.0228 1.0383 1.0120 1.0272 1.0065 1.0258
Columns 25 through 30
1.0219 1.0248 1.0153 1.0227 1.0415 1.0720
Columns 31 through 33
1.0209 1.0638 1.0344
Maliyet -------------------------------------> P optimizasyon sonucu.
1.0057e+03
Kayıp Güç
13.4295
Emission
0.3191
Voltage Derivation
0.2041
Uygunluk değeri
1.0134e+03