4. For a simple two-generator power system with the following generation functions: F₁(P) = 120 + 12P₁ +0.036P₂² $/h F₂(P₂)= 180 +9P₂ +0.06P₂² $/h where P₁ and P₂ are the generated power in MW; F₁ and F₂. are the costs in $/h; and the load demand is 100 MW, calculate the optimal power generation, marginal cost, and minimum generation cost.

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4.
For a simple two-generator power system with the following generation functions:
F₁ (P₁)
120 + 12P₁ + 0.036P₁² $/h
F₂(P₂)= 180 +9P₂ +0.06P₂² $/h
where P₁ and P₂ are the generated power in MW; F₁ and F2 are the costs in $/h; and the load
demand is 100 MW, calculate the optimal power generation, marginal cost, and minimum
generation cost.
Transcribed Image Text:4. For a simple two-generator power system with the following generation functions: F₁ (P₁) 120 + 12P₁ + 0.036P₁² $/h F₂(P₂)= 180 +9P₂ +0.06P₂² $/h where P₁ and P₂ are the generated power in MW; F₁ and F2 are the costs in $/h; and the load demand is 100 MW, calculate the optimal power generation, marginal cost, and minimum generation cost.
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