GATE EE 2022 Set 1 — Question 43
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumEconomic Load DispatchEconomic Operation & CompensationPower Systems
Power Systems → Economic Operation & Compensation → Economic Load Dispatch
Last updated
Question
The fuel cost functions in rupees/hour for two 600 MW thermal power plants are given byPlant 1:
Plant 2: where and are power generated by plant 1 and plant 2, respectively, in MW and is constant. The incremental cost of power () is 8 rupees per MWh. The two thermal power plants together meet a total power demand of 550 MW. The optimal generation of plant 1 and plant 2 in MW, respectively, are
Plant 2: where and are power generated by plant 1 and plant 2, respectively, in MW and is constant. The incremental cost of power () is 8 rupees per MWh. The two thermal power plants together meet a total power demand of 550 MW. The optimal generation of plant 1 and plant 2 in MW, respectively, are
Correct answer
(B) 250, 300
Solution
For optimal generation, the incremental fuel costs of both plants must be equal to the system incremental cost .For Plant 1:Given the total demand is 550 MW:Thus, the optimal generation is MW and MW.
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE EE question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Economic Operation & Compensation
2026 Set 1 Q18Consider a power system with buses, of which are generator buses and the remaining are…2026 Set 1 Q19The initial three-phase voltage phasors (, , and ) at a bus of a…2026 Set 1 Q39In the circuit shown, the phase currents are A…2026 Set 1 Q40The operating characteristic of a reactance relay is given by , where is the…2026 Set 1 Q41A three-phase two-winding transformer has a voltage transformation ratio…