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In the optimum generator scheduling different power plants, the minimum fuel cost is obtained when
- a)only the incremental fuel cost of each plant is the same
- b)the penalty factor of each plant is the same
- c)the ratio of the incremental fuel cost to the penalty factor of each plant is the same.
- d)the incremental fuel cost of each plant multiplied by its penalty factor is the same
Correct answer is option 'D'. Can you explain this answer?
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In the optimum generator scheduling different power plants, the minimu...
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In the optimum generator scheduling different power plants, the minimu...
Introduction:
In the optimum generator scheduling, the goal is to minimize the overall fuel cost of operating a set of power plants. This involves determining the optimal power output for each plant based on their incremental fuel costs and penalty factors.
Explanation of options:
Let's analyze each option to understand why option 'D' is the correct answer.
a) Only the incremental fuel cost of each plant is the same:
If the incremental fuel cost of each plant is the same, it means that all the plants have the same efficiency in converting fuel to electricity. However, this does not guarantee the minimum fuel cost as other factors like plant capacity and penalty factors also influence the overall cost.
b) The penalty factor of each plant is the same:
The penalty factor represents the cost of not meeting the scheduled power output. If all the plants have the same penalty factor, it implies that the cost of not meeting the desired power output is the same for all plants. However, this does not ensure the minimum fuel cost as the incremental fuel cost also plays a crucial role.
c) The ratio of the incremental fuel cost to the penalty factor of each plant is the same:
This option suggests that the ratio of incremental fuel cost to the penalty factor is the same for all plants. While this may provide some insight into the trade-off between fuel cost and penalty cost, it does not guarantee the minimum fuel cost. The absolute values of the incremental fuel cost and penalty factor are essential in determining the optimum scheduling.
d) The incremental fuel cost of each plant multiplied by its penalty factor is the same:
This option states that the product of the incremental fuel cost and penalty factor is the same for all plants. This condition ensures that the trade-off between fuel cost and penalty cost is balanced for each plant. By considering both the incremental fuel cost and penalty factor simultaneously, this option provides the most suitable criteria for achieving the minimum fuel cost in the optimum generator scheduling.
Conclusion:
Among the given options, option 'D' is the correct answer because it considers both the incremental fuel cost and penalty factor simultaneously. The product of these two factors being the same for all plants ensures a balanced trade-off and leads to the minimum fuel cost in the optimum generator scheduling.
In the optimum generator scheduling, the goal is to minimize the overall fuel cost of operating a set of power plants. This involves determining the optimal power output for each plant based on their incremental fuel costs and penalty factors.
Explanation of options:
Let's analyze each option to understand why option 'D' is the correct answer.
a) Only the incremental fuel cost of each plant is the same:
If the incremental fuel cost of each plant is the same, it means that all the plants have the same efficiency in converting fuel to electricity. However, this does not guarantee the minimum fuel cost as other factors like plant capacity and penalty factors also influence the overall cost.
b) The penalty factor of each plant is the same:
The penalty factor represents the cost of not meeting the scheduled power output. If all the plants have the same penalty factor, it implies that the cost of not meeting the desired power output is the same for all plants. However, this does not ensure the minimum fuel cost as the incremental fuel cost also plays a crucial role.
c) The ratio of the incremental fuel cost to the penalty factor of each plant is the same:
This option suggests that the ratio of incremental fuel cost to the penalty factor is the same for all plants. While this may provide some insight into the trade-off between fuel cost and penalty cost, it does not guarantee the minimum fuel cost. The absolute values of the incremental fuel cost and penalty factor are essential in determining the optimum scheduling.
d) The incremental fuel cost of each plant multiplied by its penalty factor is the same:
This option states that the product of the incremental fuel cost and penalty factor is the same for all plants. This condition ensures that the trade-off between fuel cost and penalty cost is balanced for each plant. By considering both the incremental fuel cost and penalty factor simultaneously, this option provides the most suitable criteria for achieving the minimum fuel cost in the optimum generator scheduling.
Conclusion:
Among the given options, option 'D' is the correct answer because it considers both the incremental fuel cost and penalty factor simultaneously. The product of these two factors being the same for all plants ensures a balanced trade-off and leads to the minimum fuel cost in the optimum generator scheduling.
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In the optimum generator scheduling different power plants, the minimum fuel cost is obtained whena)only the incremental fuel cost of each plant is the sameb)the penalty factor of each plant is the samec)the ratio of the incremental fuel cost to the penalty factor of each plant is the same.d)the incremental fuel cost of each plant multiplied by its penalty factor is the sameCorrect answer is option 'D'. Can you explain this answer?
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