**–Electrical Engineering (EE)–**

**–Electrical Engineering (EE)–**

Candidate qualifying for GATE Exam 2021/2022 in Electrical Engineering stream, can secure an admission in IITs/IISc and explore career opportunity in PSU Jobs. Aspirants of Gate Electrical i.e. those who are appearing for GATE 2021 Electrical Engineering Exam, are required to understand syllabus thoroughly before starting preparation.

## Engineering Mathematics

#### 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.

#### 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, Divergence theorem, Green’s theorem.

#### Differential equations

- First order equations (linear and nonlinear), Higher order linear differential equations with constant coefficients, Method of variation ofparameters, Cauchy’s equation, Euler’s equation, Initial and 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.

#### Linear Algebra

- Matrix Algebra, Systems of linear equations, Eigenvalues, Eigenvectors.

## Electric circuits

#### Network elements

- Ideal voltage and current sources, dependent sources, R, L, C, M elements; Network solution methods: KCL, KVL, Node and Mesh analysis;Network Theorems: Thevenin’s, Norton’s, Superposition and Maximum Power Transfer theorem; Transient response of dc and ac networks, sinusoidal steady-state analysis, resonance, two port networks, balanced three phase circuits, star-delta transformation, complex power and power factor in ac circuits.

#### Electromagnetic Fields

- Coulomb’s Law, Electric Field Intensity, Electric Flux Density, Gauss’s Law, Divergence, Electric field and potential due to point, line, plane andspherical 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.

#### Signals and Systems

- Representation of continuous and discrete time signals, shifting and scaling properties, linear time invariant and causal systems, Fourier seriesrepresentation of continuous and discrete time periodic signals, sampling theorem, Applications of Fourier Transform for continuous and discrete time signals, Laplace Transform and Z transform.

#### Electrical Machines

- Single phase transformer: equivalent circuit, phasor diagram, open circuit and short circuit tests, regulation and efficiency; Three-phasetransformers: connections, vector groups, parallel operation; Auto-transformer, Electromechanical energy conversion principles; DC machines: separately excited, series and shunt, motoring and generating mode of operation and their characteristics, speed control of dc motors; Three-phase induction machines: 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 and characteristics, regulation and parallel operation of generators, starting of synchronous motors; Types of losses and efficiency calculations of electric machines.

#### Power Systems

- Basic concepts of electrical power generation, 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, directional and distance protection; Circuit breakers, System stability concepts, Equal area criterion, Economic Load Dispatch (with and without considering transmission losses).

#### Control Systems

- Mathematical modelling and representation of systems, Feedback principle, transfer function, Block diagrams and Signal flow graphs, Transientand Steady‐state analysis of linear time invariant systems, Stability analysis using Routh-Hurwitz and Nyquist criteria, Bode plots, Root loci, Lag, Lead and Lead‐Lag compensators; P, PI and PID controllers; State space model, Solution of state equations of LTI systems, R.M.S. value, average value calculation for any general periodic waveform.

#### 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.

#### Analog and Digital Electronics

- Simple diode circuits: clipping, clamping, rectifiers; Amplifiers: biasing, equivalent circuit and frequency response; oscillators and feedbackamplifiers; operational amplifiers: characteristics and applications; single stage active filters, Sallen Key, Butterworth, VCOs and timers, combinatorial and sequential logic circuits, multiplexers, demultiplexers, Schmitt triggers, sample and hold circuits, A/D and D/A converters.

#### Power Electronics

- Static V-I characteristics and firing/gating circuits for Thyristor, MOSFET, IGBT; DC to DC conversion: Buck, Boost and Buck-Boost Converters; Singleand three-phase configuration of uncontrolled rectifiers; Voltage and Current commutated Thyristor based converters; Bidirectional ac to dc voltage source converters; Magnitude and Phase of line current harmonics for uncontrolled and thyristor based converters; Power factor and DistortionFactor of ac to dc converters; Single-phase and three-phase voltage and current source inverters, sinusoidal pulse width modulation.

## Change in syllabus 2021

Removed topic | Added topic | Removed topic | Added topic |
---|---|---|---|

Section 1: Engineering MathematicsLinear Algebra: NACalculus: NADifferential equations: NAComplex variables: NAProbability and Statistics: NANumerical Methods: Solutions of nonlinear algebraic equations, Single and Multi-step methods for differential equations.Transform Theory: Fourier Transform, Laplace Transform, z-Transform. |
Section 1: Engineering MathematicsLinear Algebra: NACalculus: Divergence theoremDifferential equations: NAComplex variables: NA.Probability and Statistics: NA |
Section 2: Electric CircuitsNetwork graph, The venin’s theorem, Three phase circuits |
Section 2: Electric circuitsNetwork elements: dependent sources, R, L, C, M elements; Network Theorems: Thevenin’s theorem, balanced three phase circuits, star-delta transformation, complex |

Section 3: Electromagnetic Fields NA |
Section 3: Electromagnetic Fields NA |
Section 4: Signals and SystemsNA |
Section 4: Signals and SystemsNA |

Section 5: Electrical MachinesNA |
Section 5: Electrical MachinesNA |
Section 6: Power Systems: NA |
Section 6: Power Systems
Economic Load Dispatch (with and without considering transmission losses). |

Section 7: Control SystemsState transition matrix. |
Section 7: Control SystemsSolution of state equations of LTI systems, R.M.S. value, average value calculation for any general periodic waveform. |
Section 8: Electrical and Electronic MeasurementsNA: |
Section 8: Electrical and Electronic Measurements:NA |

Section 9: Analog and Digital ElectronicsCharacteristics of BJT, MOSFET; 8085Microprocessor: Architecture, Programming and Interfacing. |
Section 9: Analog and Digital ElectronicsSallen Key, Butterworth, |
Section 10: Power ElectronicsDiode, Triac, Issues of line current harmonics, |
Section 10: Power ElectronicsMagnitude and Phase of line current harmonics for uncontrolled and thyristor based converters |