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The transmission loss calculations reveal that a transfer of 100 MW from plant 1 to 2 means a loss of 10 MW. Find the required generation at each plant for λ=25. Assume that the incremental costs of the two plants are given by .?
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The transmission loss calculations reveal that a transfer of 100 MW fr...
Transmission Loss Calculation
To determine the required generation at each plant, we need to understand the transmission loss calculation. The transmission loss is the difference between the power generated at plant 1 and the power received at plant 2.
Given:
Transfer from plant 1 to 2 = 100 MW
Transmission loss = 10 MW
Calculation
Let's assume the power generated at plant 1 as G1 and the power generated at plant 2 as G2.
The power received at plant 2 can be calculated as:
Power received at plant 2 = Power transferred - Transmission loss
G2 = 100 MW - 10 MW
G2 = 90 MW
Incremental Cost
The incremental cost is the cost of generating an additional unit of power. It represents the cost of fuel, maintenance, and other operational expenses associated with the generation of electricity.
Given that the incremental costs of the two plants are given by λ, we can assume the incremental cost of plant 1 as λ1 and the incremental cost of plant 2 as λ2.
Generation Calculation
To find the required generation at each plant, we can use the following equations:
For plant 1:
G1 = G2 + Transmission loss
G1 = 90 MW + 10 MW
G1 = 100 MW
For plant 2:
G2 = 90 MW
Therefore, the required generation at plant 1 is 100 MW and at plant 2 is 90 MW for λ = 25.
Conclusion
In conclusion, to find the required generation at each plant for a given transfer of power and transmission loss, we can use the transmission loss calculation and incremental cost information. By considering the power transfer and transmission loss, we can determine the power generated at each plant. The incremental cost represents the cost of generating additional power.
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The transmission loss calculations reveal that a transfer of 100 MW from plant 1 to 2 means a loss of 10 MW. Find the required generation at each plant for λ=25. Assume that the incremental costs of the two plants are given by .?
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