GATE EE 2016 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 / -0HardTwo-Reaction TheorySynchronous MachinesElectrical Machines
Electrical Machines → Synchronous Machines → Two-Reaction Theory
Last updated
Question
A three-phase, 50 Hz salient-pole synchronous motor has a per-phase direct-axis reactance () of 0.8 pu and a per-phase quadrature-axis reactance () of 0.6 pu. Resistance of the machine is negligible. It is drawing full-load current at 0.8 pf (leading). When the terminal voltage is 1 pu, per-phase induced voltage, in pu, is _________.
Correct answer
1.58 to 1.62
Solution
Given for a salient pole synchronous motor:
pu, pu, (leading)
pu, pu, For a motor with leading power factor, the torque angle is given by:
The induced voltage is calculated as:
where
pu
pu, pu, (leading)
pu, pu, For a motor with leading power factor, the torque angle is given by:
The induced voltage is calculated as:
where
pu
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 Synchronous Machines
2026 Set 1 Q17A 15 kVA, 1100 V/220 V, single-phase two-winding transformer is configured as a 1.32 kV/1.1 kV…2026 Set 1 Q20A certain application requires power at a frequency of , while the available grid…2026 Set 1 Q21Which one of the following options is correct regarding the typical double-squirrel-cage structure…2026 Set 1 Q22The figure shows the single-line diagram of a synchronous generator delivering …2026 Set 1 Q31A 220V/12V single-phase transformer is designed for use in India and rated 100 VA at 50 Hz. Later,…