GATE EE 2026 Set 1 — Question 58
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.NAT+2 / -0HardEconomic Load DispatchEconomic Operation & CompensationPower SystemsPenalty Factor & Incremental Cost
Power Systems → Economic Operation & Compensation → Economic Load Dispatch
Last updated
Question
A system with two generators G1 and G2 (without generator limits) is shown.
The total load on the system is 1184 MW. The expressions for the cost of generation ( and ) and real power loss () are as follows: Rs/MWh
Rs/MWh
MWWhen the generators are operating at their optimal generation, meeting the total load requirement, the real power loss in the system is ________ MW (Round off to one decimal place)Consider the Lagrange multiplier for optimal generation.
Rs/MWh
MWWhen the generators are operating at their optimal generation, meeting the total load requirement, the real power loss in the system is ________ MW (Round off to one decimal place)Consider the Lagrange multiplier for optimal generation.
Answer checking is unavailable for this question. You can review the published solution without a score.
Solution
The condition for optimal generation with transmission losses is given by:For generator G1:Since depends only on , .For generator G2:Now, calculate the real power loss:Rounding off to one decimal place, we get 20.0 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…