An area of an interconnected power system has two fossil-fuel units operating on economic dispatch. P ₁ and P ₂ are in megawatts (MW). The total load demand PD = 900 MW The variable operating costs of these units are given by

The transmission losses are given by

When the system incremental operating cost ?= 16 $/MWh, Determine the economic dispatch of the generation units total transmission losses, the penalization factor of bus 2.

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x C₁ = 10P₁ + 8 × 10-³P² ($/h) C₂ = 8P₂ + 9× 10-³p² ($/h) P₁ = 1.5 × 10¯-4P²? + 2 × 10¯-5P₁P₂ + 3 × 10-5P² (MW) x C₁ = 10P₁ + 8 × 10-³P² ($/h) C₂ = 8P₂ + 9× 10-³p² ($/h) P₁ = 1.5 × 10¯-4P²? + 2 × 10¯-5P₁P₂ + 3 × 10-5P² (MW)

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Given the cost of unit 1 is given as Then the incremental cost of the unit is T... View the full answer