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SarkariResultOutBMS · 2024

Previous Year Question

The incremental costs of two generators supplying total load of 200 MW are dFA dFB = 2.0 + 0.01PA and = 1.6 + 0.02 PB dPA dPB For economical operation, the generator outputs PA, PB should be ________ respectively.
  1. 100W and 100W
  2. 50W and 150W
  3. 80W and 120W
  4. 120W and 80W

Correct answer: D

Explanation

For lossless economic dispatch, incremental costs are equal: 2+0.01PA=1.6+0.02PB, with PA+PB=200. Substituting PB=200−PA gives PA=120 MW and PB=80 MW, which is option D.

Formula

2+0.01PA=1.6+0.02PB; PA+PB=200 → PA=120MW, PB=80MW

Step-by-step solution

Equal Incremental Cost explanatory diagram

Correct Answer

D — 120 MW and 80 MW

Concept and Reasoning

For lossless economic dispatch, incremental costs are equal: 2+0.01PA=1.6+0.02PB, with PA+PB=200. Substituting PB=200−PA gives PA=120 MW and PB=80 MW, which is option D.

Calculation / Key Relation

2+0.01PA=1.6+0.02PB

PA+PB=200 → PA=120MW, PB=80MW

Exam Takeaway

Economic dispatch without losses: equal incremental cost plus power balance.

Common Mistake

Do not split load equally unless the incremental-cost characteristics are identical.

Common mistake

Do not split load equally unless the incremental-cost characteristics are identical.

Exam tip

Economic dispatch without losses: equal incremental cost plus power balance.

Quick method

Economic dispatch without losses: equal incremental cost plus power balance.