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3.1.2. KERUGIAN TRANSMISI DIPERHITUNGKAN
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Consider a similar system, which now has atransmission network that connects the generating
units to the load◦ The Economic Dispatch Problem is slightly more
complicated
◦ the constraint equation must include the network losses,P loss
◦
the objective function,FT
is the same as before◦ the constraint equation must be expanded as :
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1 1
( )
1 0
N N
i i load load
i i
i loss i loss
i i i i
L F F P P P Pi
dF P dF P y
x dP P dP P
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Contoh :
Dengan nilai fuel cost perunitnya sama seperti soal
diatas dan pernyataan rugi-rugi dinyatakan denganpersamaan :
Persamaan rugi-rugi menjadi lebih lengkap dengan :
2 2 2
1 2 30.00003 0.00009 0.00012loss P P P P
1 1
2 2
3 3
2 2 2
1 2 3 1 2 3
1
23.76 0.009372 [1 2(0.00003) ]
23.55 0.01164 [1 2(0.00009) ]
23.70 0.02892 [1 2(0.00012) ]
850 0.00003 0.00009 0.00012
i loss
i i
i
i
i
i
i
i
loss
dF P
dP P
dF P P
dP
dF P P
dP
dF P P
dP
P P P P P P P
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Prosedure iterasi terbaru diselesaikan dengan urutan
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Nilai pembangkitan puncak
Diperoleh pertambahan rugi-rugi sebesar
1 2 3400 , 300 , 150 , P MW P MW P MW
2(0.00003)(400) 0.0240
2(0.00009)(300) 0.0540
2(0.00012)(150) 0.0360
loss
i
loss
i
loss
i
P
P
P
P
P
P
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Total rugi-rugi
Penyelesaian nilai langrange
5 2 5 2 5 23*10 (400) 9*10 (300) 12*10 (150) 15.6loss
P MW
1
2
3
1 2 3
23.76 0.009372 (1 0.024)
23.55 0.01164 (1 0.054)
23.70 0.02892 (1 0.036)
(850 15.6) 0
P
P
P
P P P
1
2
3
1 2 3
0.009372 0 0 0.976 23.76
0 0.01164 0 0.946 23.55
0 0 0.02892 0.964 23.70
1 1 1 0 865.6
437.20, 296.49, 131.91, 28.54
P
P
P
P P P
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Kesimpulan dari proses iterasi langrange
iteration count P1 (MW) P2 (MW) P3 (MW) losses (MW) ($/MWh)
1 400.00 300.00 150.00 15.60 28.54
2 437.20 296.49 131.91 15.73 28.55
3 431.03 298.38 136.33 15.82 28.55
4 432.45 297.92 135.45 15.80 28.55
5 432.11 298.06 135.63 15.81 28.55
6 432.19 298.02 135.59 15.80 28.55
7 432.17 298.03 135.60 15.80 28.55
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