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Economic dispatch dengan iterasi lamda secara manual dan mathlab
- 1. R A N D I A P A N D I
4 4 2 1 6 0 2 4
- 3. KARAKTERISTIK PEMBANGKIT
INPUT - OUTPUT Min (MW) Max (MW) Fuel Cost
C1 = 225 + 8.4P1 + 0.0025P12 45 350 0.8
C2 = 729 + 6.3P2 + 0.0081P22 45 350 1.02
C3 = 400 + 7.5P3 + 0.0025P32 47.5 450 0.9
- 4. 𝑑𝑐𝑖
𝑑𝑝𝑖
= 2γ𝑖𝑃𝑖 + β𝑖
•
𝑑𝑐1
𝑑𝑝1
= 2γ1 𝑃1 + β1 = λ
𝑑𝑐2
𝑑𝑝2
= 6.426 + 0.016524 = λ
•
𝑑𝑐2
𝑑𝑝2
= 2γ2 𝑃2 + β2 = λ
𝑑𝑐1
𝑑𝑝1
= 6.72 + 0.004𝑃1 = λ
𝑑𝑐3
𝑑𝑝3
= 6.75 + 0.0045 = λ
•
𝑑𝑐3
𝑑𝑝3
= 2γ3 𝑃3 + β3 = λ
- 5. 𝜆 =
𝑃𝑑+ 𝑖=1
𝑛 𝛽𝑖
2𝛾𝑖𝑃𝑖
1
2𝛾𝑖𝑃𝑖
𝜆 =
500+
6.72
0.004
+
6.426
0.016524
+
6.75
0.0045
1
0.004
+
1
0.016524
+
1
0.0045
Total Beban = 500 MW
𝜆 =
500+1680+388.89+1500
250+60.518+222.22
𝜆 =
4068.89
532.738
𝜆 =7.637 $/MWh
- 6. Pembagian Pembebanan
𝑃𝑖 =
𝜆 − 𝛽𝑖
2𝛾𝑖𝑃𝑖
• 𝑃1 =
𝜆− 𝛽1
2𝛾1 𝑃1
• 𝑃3 =
𝜆− 𝛽3
2𝛾3 𝑃3
• 𝑃2 =
𝜆− 𝛽2
2𝛾2 𝑃2
=
7.637 − 6.72
0.004
= 229.25 𝑀𝑊
=
7.637 − 6.426
0.016524
=
7.637 − 6.75
0.0045
= 197.11 𝑀𝑊= 73.28 𝑀𝑊
P1 = 229.25 𝑀𝑊
P2 = 73.28 𝑀𝑊
P3 = 197.11 𝑀𝑊
