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Power Systems: notes and questions

For EE students

Notes for each topic, a formula sheet, practice questions and 42 past GATE questions from 7 papers (2018–2026), 40 of them solved step by step.

previous-year questions
42previous-year questions
solved step by step
40solved step by step
GATE papers, 2018–2026
7GATE papers, 2018–2026
topics with notes
6topics with notes

Foundation

Learn the subject one topic at a time. Each topic has notes, the key formulas and practice questions.

Topic notes and formulas

Notes on every topic, with the key formulas and practice.

  1. Generation, transmission lines, cables, compensation, insulators and distribution

    This topic covers how bulk power is generated, carried over AC and HVDC lines and cables, held within voltage limits by compensation, and finally distributed to consumers.

    6 practice questions

  2. Per-unit system, bus admittance matrix and load flow

    The per-unit system rescales every voltage, current, power and impedance to chosen bases, so a network with several voltage levels can be solved as one.

    6 practice questions

  3. Economic dispatch, voltage and frequency control, power factor correction

    This topic covers how real power is shared among generators at least cost, how frequency is held by governor action and supplementary control, and how voltage and reactive power are managed with taps, compensators and power factor correction.

    6 practice questions

  4. Symmetrical components and fault analysis

    Symmetrical components resolve any unbalanced three-phase set into three balanced sets (positive, negative and zero sequence), so an unsymmetrical fault becomes an interconnection of three single-phase sequence networks.

    5 practice questions

  5. Protection and circuit breakers

    Protection detects a fault, picks out the faulty element and trips only the breakers that must open, so the rest of the system keeps running.

    5 practice questions

  6. Power system stability and the equal area criterion

    Power system stability is the ability of synchronous machines to stay in step after a disturbance.

    6 practice questions

GATE

Past GATE questions on Power Systems by topic and year, the full papers, practice and the GATE syllabus.

42 questions, by topic and year

How many questions each topic had in the EE papers of each year. This shows what was asked, not what will be asked. We placed each question under a topic ourselves; the exam paper does not label topics.

Topic2018202020222023202420252026Total
Transmission & distribution·1111116
Per unit & load flow22·211210
Dispatch & control·1212219
Faults3·111118
Protection·111··25
Stability1·1·11·4

The GATE syllabus for Power Systems, paper by paper

Verbatim from the GATE 2027 syllabus PDF: EE Section 6, “Power Systems”. Neither EC nor IN lists power systems; EC's only “stability” is the stability of LTI and control systems.

Show the GATE EE wording

Basic concepts of electrical power generation, AC and DC transmission concepts, Models and performance of transmission lines and cables, Economic Load Dispatch (with and without considering transmission losses), Series and shunt compensation, Electric field distribution and insulators, Distribution systems, Per‐unit quantities, Bus admittance matrix, Gauss- Seidel and Newton-Raphson load flow methods, Voltage and Frequency control, Power factor correction, Symmetrical components, Symmetrical and unsymmetrical fault analysis, Principles of over‐ current, differential, directional and distance protection; Circuit breakers, System stability concepts, Equal area criterion.

Download the full GATE 2027 syllabus PDFs

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