GATE Electrical Engineering

Section 1 Engineering Mathematics

Master the complete Engineering Mathematics syllabus covering Linear Algebra, Calculus, Differential Equations, Complex Variables and Probability & Statistics.

Linear Algebra

  • ✔ Matrix Algebra
  • ✔ Systems of Linear Equations
  • ✔ Eigen Values
  • ✔ Eigen Vectors

Calculus

  • ✔ Mean Value Theorems
  • ✔ Integral Calculus
  • ✔ Definite & Improper Integrals
  • ✔ Partial Derivatives
  • ✔ Maxima & Minima
  • ✔ Multiple Integrals
  • ✔ Fourier Series
  • ✔ Vector Identities
  • ✔ Directional Derivatives
  • ✔ Line Integral
  • ✔ Surface Integral
  • ✔ Volume Integral
  • ✔ Stokes' Theorem
  • ✔ Gauss' Theorem
  • ✔ Divergence Theorem
  • ✔ Green's Theorem

Differential Equations

  • ✔ First Order Equations (Linear & Nonlinear)
  • ✔ Higher Order Linear Differential Equations
  • ✔ Method of Variation of Parameters
  • ✔ Cauchy's Equation
  • ✔ Euler's Equation
  • ✔ Initial & Boundary Value Problems
  • ✔ Partial Differential Equations
  • ✔ Method of Separation of Variables

Complex Variables

  • ✔ Analytic Functions
  • ✔ Cauchy's Integral Theorem
  • ✔ Cauchy's Integral Formula
  • ✔ Taylor Series
  • ✔ Laurent Series
  • ✔ Residue Theorem
  • ✔ Solution Integrals

Probability & Statistics

  • ✔ Sampling Theorems
  • ✔ Conditional Probability
  • ✔ Mean
  • ✔ Median
  • ✔ Mode
  • ✔ Standard Deviation
  • ✔ Random Variables
  • ✔ Discrete Distributions
  • ✔ Continuous Distributions
  • ✔ Poisson Distribution
  • ✔ Normal Distribution
  • ✔ Binomial Distribution
  • ✔ Correlation Analysis
  • ✔ Regression Analysis
Core Electrical Engineering

Electric Circuits & Electromagnetic Fields

Build strong fundamentals in electrical network analysis, circuit theorems, transient analysis, electromagnetic field theory and magnetic circuits.

02

Electric Circuits

Network Elements

  • • Ideal Voltage Sources
  • • Ideal Current Sources
  • • Dependent Sources
  • • R, L, C & M Elements

Network Solution Methods

  • • KCL
  • • KVL
  • • Node Analysis
  • • Mesh Analysis

Network Theorems

  • • Thevenin's Theorem
  • • Norton's Theorem
  • • Superposition Theorem
  • • Maximum Power Transfer

AC & DC Analysis

  • • Transient Response of DC & AC Networks
  • • Sinusoidal Steady-State Analysis
  • • Resonance
  • • Two-Port Networks
  • • Balanced Three-Phase Circuits
  • • Star-Delta Transformation
  • • Complex Power
  • • Power Factor in AC Circuits
03

Electromagnetic Fields

Electrostatics

  • • Coulomb's Law
  • • Electric Field Intensity
  • • Electric Flux Density
  • • Gauss's Law
  • • Divergence
  • • Electric Field & Potential
  • • Point, Line, Plane & Spherical Charges
  • • Dielectric Medium
  • • Capacitance of Simple Configurations

Magnetostatics

  • • Biot-Savart's Law
  • • Ampere's Law
  • • Curl
  • • Faraday's Law
  • • Lorentz Force
  • • Inductance
  • • Magnetomotive Force
  • • Reluctance
  • • Magnetic Circuits
  • • Self & Mutual Inductance
GATE Electrical Engineering

Signals & Systems + Electrical Machines

Learn signal processing fundamentals and master transformers, DC machines, induction motors, synchronous machines and electromechanical energy conversion.

Section 04

Signals & Systems

Continuous Signals Discrete Signals Signal Shifting Scaling LTI Systems Causal Systems Fourier Series Sampling Theorem Fourier Transform Laplace Transform Z Transform RMS Value Average Value
Section 05

Electrical Machines

Transformers

Single Phase, Three Phase, Auto Transformer, Equivalent Circuit, Tests & Efficiency

DC Machines

Series, Shunt, Separately Excited, Speed Control

Induction Motors

Three Phase, Single Phase, Equivalent Circuit, Speed Control

Synchronous Machines

Cylindrical, Salient Pole, Parallel Operation

Energy Conversion

Electromechanical Energy Conversion Principles

Performance

Losses, Regulation, Efficiency, Characteristics

Section 06

Power Systems

Learn the complete concepts of electrical power generation, transmission, distribution, protection, load flow analysis, power system stability and fault analysis.

⚡ Power Generation

  • • Electrical Power Generation
  • • AC Transmission
  • • DC Transmission
  • • Transmission Line Models
  • • Cable Performance

⚙ Load Flow Analysis

  • • Per Unit System
  • • Bus Admittance Matrix
  • • Gauss-Seidel Method
  • • Newton-Raphson Method

POWER

Generation • Transmission • Distribution • Protection

🛡 Protection

  • • Over Current Protection
  • • Differential Protection
  • • Directional Protection
  • • Distance Protection
  • • Circuit Breakers

📊 System Analysis

  • • Economic Load Dispatch
  • • Series & Shunt Compensation
  • • Voltage & Frequency Control
  • • Power Factor Correction
  • • Symmetrical Components
  • • Fault Analysis
  • • System Stability
  • • Equal Area Criterion

Load Flow

Power Flow Analysis

Faults

Symmetrical & Unsymmetrical

Protection

Relays & Circuit Breakers

Stability

Equal Area Criterion

Section 07

Control Systems

Learn mathematical modelling, feedback systems, stability analysis, frequency response techniques and modern control engineering used in electrical systems.

Step 01

Mathematical Modelling

Mathematical modelling, system representation, transfer functions, feedback principle, block diagrams and signal flow graphs.

Step 02

System Performance

Transient response, steady-state response, Linear Time Invariant (LTI) systems, error analysis and performance evaluation.

Step 03

Stability Analysis

Routh-Hurwitz Criterion, Nyquist Criterion, Bode Plot, Root Locus Technique for stability determination.

Step 04

Controllers & State Space

Lag, Lead & Lead-Lag Compensators, P, PI & PID Controllers, State Space Models, Solution of State Equations for LTI systems.

Section 08 & 09

Electrical Measurements & Electronics

Master modern electrical measurements, instrumentation, analog electronics and digital electronics required for GATE Electrical Engineering.

Section 08

Electrical Measurements

Measurement Instruments

Bridges, Potentiometers, Digital Voltmeters, Multimeters, Instrument Transformers

📈

Electrical Quantities

Voltage, Current, Power, Energy, Power Factor Measurement

Signal Measurement

Phase, Time, Frequency, Oscilloscopes, Error Analysis

Section 09

Analog & Digital Electronics

Diode Circuits

Clipping, Clamping, Rectifiers

Amplifiers

Biasing, Equivalent Circuit, Frequency Response

Op-Amps & Filters

Operational Amplifiers, Active Filters, Sallen Key, Butterworth

Digital Electronics

Logic Circuits, Multiplexers, Demultiplexers, Schmitt Triggers

Data Conversion

Sample & Hold Circuits, Analog to Digital Converters (ADC), Digital to Analog Converters (DAC), Voltage Controlled Oscillators (VCO), Timers

08

Measurement Topics

09

Electronics Topics

GATE

Exam-Oriented Concepts

100%

Syllabus Coverage

Section 10

Power Electronics

Master semiconductor devices, converters, rectifiers, inverters and PWM techniques used in industrial drives, renewable energy systems and electric vehicles.

Semiconductor Devices

Understand switching devices and their operating characteristics.

  • Thyristor (SCR)
  • MOSFET
  • IGBT
  • Static V-I Characteristics
  • Gate / Firing Circuits

Power Converters

Learn DC-DC converters and AC-DC power conversion.

  • Buck Converter
  • Boost Converter
  • Buck-Boost Converter
  • Voltage Source Converter
  • Current Source Converter

Applications

Study rectifiers, harmonics, inverters and PWM.

  • Single & Three Phase Rectifiers
  • Power Factor & Harmonics
  • Voltage Source Inverters
  • Current Source Inverters
  • Sinusoidal PWM (SPWM)

Complete GATE EE Power Electronics

Covers SCR, MOSFET, IGBT, controlled and uncontrolled rectifiers, Buck, Boost, Buck-Boost converters, Voltage Source Converters, Current Source Converters, harmonics, power factor improvement, voltage source inverters and Sinusoidal PWM exactly as prescribed in the latest GATE Electrical Engineering syllabus.