GATE Electrical Engineering Syllabus
Subject Code: EE
Course Structure
| Sections/Units |
Topics |
| Section A |
Engineering Mathematics |
| Unit 1 |
Linear Algebra |
| Unit 2 |
Calculus |
| Unit 3 |
Differential Equations |
| Unit 4 |
Complex Variables |
| Unit 5 |
Probability and Statistics |
| Unit 6 |
Numerical Methods |
| Unit 7 |
Transform Theory |
| Section B |
Electric Circuits |
| Section C |
Electromagnetic Fields |
| Section D |
Signals and Systems |
| Section E |
Algorithms |
| Section F |
Electrical Machines |
| Section G |
Power Systems |
| Section H |
Control Systems |
| Section I |
Electrical and Electronic Measurements |
| Section J |
Analog and Digital Electronics |
| Section K |
Power Electronics |
Course Syllabus
Section A: Engineering Mathematics
Unit 1: Linear Algebra
- Matrix Algebra
- Systems of linear equations
- Eigenvalues
- Eigenvectors
Unit 2: Calculus
- Mean value theorems
- Theorems of integral calculus
- Evaluation of definite and improper integrals
- Partial Derivatives
- Maxima and minima
- Multiple integrals
- Fourier series
- Vector identities
- Directional derivatives
- Line integral
- Surface integral
- Volume integral
- Stokes’s theorem
- Gauss’s theorem
- Green’s theorem
Unit 3: Differential equations
- First order equations (linear and nonlinear)
- Higher order linear differential equations with constant coefficients
- Method of variation of parameters
- Cauchy’s equation
- Euler’s equation
- Initial and boundary value problems
- Partial Differential Equations
- Method of separation of variables
Unit 4: Complex variables
- Analytic functions
- Cauchy’s integral theorem
- Cauchy’s integral formula
- Taylor series
- Laurent series
- Residue theorem
- Solution integrals
Unit 5: Probability and Statistics
Sampling theorems
Conditional probability
Mean, Median, Mode, Standard Deviation, Random variables, Discrete and Continuous distributions
Poisson distribution
Normal distribution
Binomial distribution
Correlation analysis,
Regression analysis
Unit 6: Numerical Methods
- Solutions of nonlinear algebraic equations
- Single and Multi-step methods for differential equations
Unit 7: Transform Theory
- Fourier Transform
- Laplace Transform
- z-Transform
Section B: Electric Circuits
- Network graph
- KCL, KVL, Node and Mesh analysis
- Transient response of dc and ac networks
- Sinusoidal steady-state analysis
- Resonance
- Passive filter, Ideal current and voltage sources
- Thevenin’s theorem
- Norton’s theorem
- Superposition theorem
- Maximum power transfer theorem
- Two-port networks
- Three phase circuits
- Power and power factor in ac circuits
Section C: Electromagnetic Fields
Coulomb's Law
Electric Field Intensity
Electric Flux Density
Gauss's Law
Divergence, Electric field and potential due to point, line, plane and spherical charge distributions
Effect of dielectric medium
Capacitance of simple configurations
Biot-Savart’s law
Ampere’s law
Curl
Faraday’s law
Lorentz force
Inductance
Magnetomotive force
Reluctance
Magnetic circuits
Self and Mutual inductance of simple configurations
Section D: Signals and Systems
- Representation of continuous and discrete-time signals
- Shifting and scaling operations
- Linear Time Invariant and Causal systems
- Fourier series representation of continuous periodic signals
- Sampling theorem
- Applications of Fourier Transform
- Laplace Transform and z-Transform
Section E: Electrical Machines
- Single phase transformer −
- Equivalent circuit
- Phasor diagram
- Open circuit and short circuit tests
- Regulation and efficiency
- Three phase transformers −
- Connections
- Parallel operation
- Auto-transformer
- Electromechanical energy conversion principles
- DC machines −
- Separately excited
- Series and shunt
- Motoring and generating mode of operation and their characteristics
- Starting and speed control of dc motors
- Three phase induction motors −
- Principle of operation
- Types
- Performance
- Torque-speed characteristics
- No-load and blocked rotor tests
- Equivalent circuit
- Starting and speed control
- Operating principle of single phase induction motors
- Synchronous machines −
- Cylindrical and salient pole machines
- Performance
- Regulation and parallel operation of generators
- Starting of synchronous motor
- Characteristics
- Types of losses and efficiency calculations of electric machines
Section F: Power Systems
- Power generation concepts
- ac and dc transmission concepts
- Models and performance of transmission lines and cables
- Series and shunt compensation
- Electric field distribution and insulators
- Distribution systems
- Per-unit quantities
- Bus admittance matrix
- GaussSeidel 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 and distance protection
- Circuit breakers
- System stability concepts
- Equal area criterion
Section G: Control Systems
Mathematical modeling and representation of systems
Feedback principle
Transfer function
Block diagrams and Signal flow graphs
Transient and Steady-state analysis of linear time invariant systems
Routh-Hurwitz and Nyquist criteria
Bode plots, Root loci, Stability analysis, Lag, Lead and Lead-Lag compensators
P, PI and PID controllers
State space model
State transition matrix
Section H: Electrical and Electronic Measurements
Bridges and Potentiometers
Measurement of voltage, current, power, energy and power factor
Instrument transformers, Digital voltmeters and multimeters, Phase, Time and Frequency measurement
Oscilloscopes
Error analysis
Section I: Analog and Digital Electronics
- Characteristics of diodes, BJT, MOSFET
- Simple diode circuits: clipping, clamping, rectifiers
- Amplifiers: Biasing, Equivalent circuit and Frequency response
- Oscillators and Feedback amplifiers
- Operational amplifiers: Characteristics and applications
- Simple active filters
- VCOs and Timers
- Combinational and Sequential logic circuits
- Multiplexer
- Demultiplexer
- Schmitt trigger
- Sample and hold circuits
- A/D and D/A converters
- 8085Microprocessor −
- Architecture
- Programming
- Interfacing
Section H: Power Electronics
- Characteristics of semiconductor power devices −
- Diode
- Thyristor
- Triac
- GTO
- MOSFET
- IGBT
- DC to DC conversion −
- Buck
- Boost
- Buck-Boost converters
- Single and three phase configuration of uncontrolled rectifiers
- Line commutated thyristor based converters
- Bidirectional ac to dc voltage source converters
- Issues of line current harmonics
- Power factor
- Distortion factor of ac to dc converters
- Single phase and three phase inverters
- Sinusoidal pulse width modulation
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