Electrical Engineering - GATE 2019 Syllabus

Network Graph; KCL, KVL, Node and Mesh Analysis; Transient Response of DC and AC Networks; Sinusoidal Steady-State Analysis; Resonance; Passive Filters; Ideal Current and Voltage Sources; Thevenin’s, Norton’s and Superposition and Maximum Power Transfer Theorems; Two-port Networks; Three Phase Circuits; Power and power factor in ac circuits;

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;

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 Transforms; Laplace Transform and z-Transform;

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;

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; 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 and Distance Protection; Circuit Breakers; System Stability Concepts; Equal Area Criterion;

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;

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;

Characteristics of Diodes, BJT, MOSFET; Simple Diode Circuits: Clipping, Clamping, Rectifies; 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; 8085 Microprocessor: Architecture, Programming and Interfacing;

Characteristics of Semiconductor Power Devices: Diodes, Thyristor, Triac, GTO, MOSFET, IGBT; DC to DC Conversion: Buck, Boost and 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; Sinusiodal Pulse Width Modulation;

Matrix Algebra; Systems of Linear Equations; Eigen Values and Eigen vectors;

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, Surface and Volume Integrals; Stoke's, Gauss's and Green’s theorems;

First Order Equations (linear and nonlinear); Higher Order Linear Differential Equations with Constant Coefficients; Method of Variation of Parameters; Cauchy’s and Euler’s Equations; Initial and Boundary Value Problems; Partial Differential Equations; Method of Separation of Variables;

Analytic Functions; Cauchy’s Integral Theorem; Cauchy’s Integral Formula; Taylor's Series; Laurent Series; Residue Theorem; Solution Integrals;

Sampling Theorems; Conditional Probability; Mean; Median; Mode; Standard Deviation; Random Variables; Discrete and Continuous Distributions; Poisson Distribution; Normal Distribution; Binomial Distribution; Correlation and Regression Analysis;

Solutions of Nonlinear Algebraic Equations; Single and Multi-Step Methods for Differential Equations;

Fourier Transform; Laplace Transform; z-Transform;