Assume the following generator cost functions: C = 0.04P + 5P + 30 C = 0.05P...

 

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Assume the following generator cost functions: C₁ = 0.04P₁² + 5P₁ + 30 C₂ = 0.05P₂² + 3P2 + 50 C3 = 0.02P3² +4P3 + 75 C4 = 0.03P4² + 2P4 + 70 C5 = 0.035P5² + 2.5P5 + 55 C6 = 0.025P6² +3.5P6 + 40 C₂ = 0.45P,² + 1.5P, + 95 Cg = 0.01Pg² + 4.5Pg + 100 Assume the following generator limits: 450 P₁1400 500 P₂ < 1500 400 < P3 < 1000 150 P4 < 1200 300 < Ps < 800 120 < P6 < 500 0 < P < 450 0 < Ps < 350 Assume below network topology: G1 PLOSSL1 = 0.0004*PL₁² G2 1666 G4 G5 G3 G6 PLOSSL2 = 0.0002*PL2² G7 G8 LOAD L1 Solve for the Total Cost, Generator Schedules, and Lambda using Newtons's Method, where Load L1 Requirement is 4,900MW. Hoping for a detailed Solution. Assume the following generator cost functions: C₁ = 0.04P₁² + 5P₁ + 30 C₂ = 0.05P₂² + 3P2 + 50 C3 = 0.02P3² +4P3 + 75 C4 = 0.03P4² + 2P4 + 70 C5 = 0.035P5² + 2.5P5 + 55 C6 = 0.025P6² +3.5P6 + 40 C₂ = 0.45P,² + 1.5P, + 95 Cg = 0.01Pg² + 4.5Pg + 100 Assume the following generator limits: 450 P₁1400 500 P₂ < 1500 400 < P3 < 1000 150 P4 < 1200 300 < Ps < 800 120 < P6 < 500 0 < P < 450 0 < Ps < 350 Assume below network topology: G1 PLOSSL1 = 0.0004*PL₁² G2 1666 G4 G5 G3 G6 PLOSSL2 = 0.0002*PL2² G7 G8 LOAD L1 Solve for the Total Cost, Generator Schedules, and Lambda using Newtons's Method, where Load L1 Requirement is 4,900MW. Hoping for a detailed Solution.