GATE EE 2024 Set 1 — Question 34
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Power Systems → Economic Operation & Compensation → Economic Load Dispatch
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Question
The incremental cost curves of two generators (Gen A and Gen B) in a plant supplying a common load are shown in the figure. If the incremental cost of supplying the common load is Rs. 7400 per MWh, then the common load in MW is _______ (rounded off to the nearest integer).
Correct answer
35 to 35
Solution
Step 1: Determine the equations for the incremental cost (IC) curves from the graph.
For Gen A (solid line): At , . At , .
Slope .
Equation: .For Gen B (dashed line): At , . At , .
Slope .
Equation: .Step 2: Find the power generation for each unit when the system incremental cost Rs./MWh.
For Gen B: MW.
For Gen A: Since the system incremental cost is less than the starting incremental cost of Gen A (), Gen A will not generate any power. Thus, MW.Step 3: Calculate the total common load.
Total Load MW.
For Gen A (solid line): At , . At , .
Slope .
Equation: .For Gen B (dashed line): At , . At , .
Slope .
Equation: .Step 2: Find the power generation for each unit when the system incremental cost Rs./MWh.
For Gen B: MW.
For Gen A: Since the system incremental cost is less than the starting incremental cost of Gen A (), Gen A will not generate any power. Thus, MW.Step 3: Calculate the total common load.
Total Load MW.
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