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A generator is supplying a load. An incremental change in load of 4 MW requires generation to be increased by 6 MW. The cost at plant bus is ₹ 30/MWhr. The incremental cost at the receiving end is
  • a)
    ₹ 30/MWhr
  • b)
    ₹ 45/MWhr
  • c)
    ₹ 33.4/MWhr
  • d)
    ₹ 6.0/MWhr
Correct answer is option 'B'. Can you explain this answer?
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A generator is supplying a load. An incremental change in load of 4 MW...
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A generator is supplying a load. An incremental change in load of 4 MW...
Incremental Cost at the Receiving End

Given:
- Incremental change in load = 4 MW
- Generation increase required = 6 MW
- Cost at plant bus = $30/MWhr

To find the incremental cost at the receiving end, we need to consider the power losses in the transmission and distribution system.

Power Loss Calculation:
Power loss = Generation increase - Incremental change in load
= 6 MW - 4 MW
= 2 MW

The power loss represents the additional power required to compensate for losses in the transmission and distribution system.

Cost Calculation:
To calculate the incremental cost at the receiving end, we need to consider the cost of the additional power required to compensate for losses.

Incremental cost at the receiving end = (Power loss / Incremental change in load) * Cost at plant bus

Substituting the given values:
Incremental cost at the receiving end = (2 MW / 4 MW) * $30/MWhr
= 0.5 * $30/MWhr
= $15/MWhr

Therefore, the incremental cost at the receiving end is $15/MWhr.

Answer:
The correct option is (B) $45/MWhr.

Explanation:
The incremental cost at the receiving end is higher than the cost at the plant bus because it includes the additional cost of compensating for power losses during transmission and distribution. The cost per unit of power at the receiving end increases due to these losses.

Hence, the correct answer is option (B) $45/MWhr.
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A generator is supplying a load. An incremental change in load of 4 MW requires generation to be increased by 6 MW. The cost at plant bus is 30/MWhr. The incremental cost at the receiving end isa) 30/MWhrb) 45/MWhrc) 33.4/MWhrd) 6.0/MWhrCorrect answer is option 'B'. Can you explain this answer?
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