GATE 2013 - Syllabus for Electrical Engineering(EE)
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Engineering Mathematics
- Linear Algebra:
- Matrix Algebra,
- Systems of linear equations,
- Eigen values and
- eigen vectors.
- 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,
- Surface and Volume integrals,
- Stokes,
- Gauss and Green's
- Differential equations:
- First order equation (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 and variable separable method.
- Complex variables:
- Analytic functions,
- Cauchy's integral theorem and integral formula,
- Taylor's and Laurent' series,
- Residue theorem,
- solution integrals.
- Probability and Statistics:
- Sampling theorems,
- Conditional probability,
- Mean, median, mode and standard deviation,
- Random variables,
- Discrete and continuous distributions,
- Poisson,
- Normal and Binomial distribution,
- Correlation and regression analysis.
- Numerical Methods:
- Solutions of non-linear algebraic equations,
- single and multi-step methods for differential equations.
- Transform Theory:
- Fourier transform,
- Laplace transform,
- Z-transform.
- Linear Algebra:
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Electric Circuits and Fields:
- Network graph,
- KCL,
- KVL,
- node and mesh analysis,
- transient
- response of dc and ac networks;
- sinusoidal steady-state analysis,
- resonance,
- basic filter concepts;
- ideal current and voltage sources,
- Thevenin's,
- Norton's and Superposition and
- Maximum Power Transfer theorems,
- two-port networks,
- three phase circuits;
- Gauss Theorem,
- electric field and potential due to point,
- line,
- plane and spherical charge distributions;
- Ampere's and Biot-Savart's laws;
- inductance;
- dielectrics;
- capacitance.
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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;
- Fourier,
- Laplace and Z transforms.
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Electrical Machines:
- Single phase transformer - equivalent circuit,
- phasor diagram, tests, regulation and efficiency;
- three phase transformers - connections,
- parallel operation;
- auto-transformer;
- energy conversion principles;
- DC machines - types,
- windings,
- generator characteristics,
- armature reaction and commutation,
- starting and speed control of motors;
- three phase induction motors - principles, types, performance characteristics, starting and speed control;
- single phase induction motors;synchronous machines - performance, regulation and parallel operation of generators, motor starting, characteristics and applications; servo and stepper motors.
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Power Systems:
- Basic power generation concepts;
- transmission line models and performance;
- cable performance, insulation;
- corona and radio interference;
- distribution systems; per-unit quantities;
- bus impedance and admittance matrices;
- load flow; voltage control;
- power factor correction;
- economic operation;
- symmetrical components;
- fault analysis;
- principles of over-current, differential and distance protection;
- solid state relays and digital protection;
- circuit breakers;
- system stability concepts, swing curves and equal area criterion;
- HVDC transmission and FACTS concepts.
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Control Systems:
- Principles of feedback; transfer function; block diagrams;
- steady-state errors; Routh and Niquist techniques; Bode
- plots; root loci; lag, lead and lead-lag compensation; state
- space model; state transition matrix, controllability and
- observability.
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Electrical and Electronic Measurements:
- Bridges and potentiometers; PMMC, moving iron, dynamometer
- and induction type instruments; measurement of voltage,
- current, power, energy and power factor; instrument
- transformers; digital voltmeters and multimeters; phase, time
- and frequency measurement; Q-meters; oscilloscopes;
- potentiometric recorders; error analysis.
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Analog and Digital Electronics:
- Characteristics of diodes, BJT, FET;
- 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;
- Schmitt trigger;
- multi-vibrators;
- sample and hold circuits;
- A/D and D/A converters;
- 8-bit microprocessor basics,
- architecture, programming and interfacing.
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Power Electronics and Drives:
- Semiconductor power diodes,
- transistors, thyristors, triacs,
- GTOs, MOSFETs and IGBTs - static characteristics and principles of operation;
- triggering circuits;
- phase control rectifiers;
- bridge converters - fully controlled and half controlled;
- principles of choppers and inverters;
- basis concepts of adjustable speed dc and ac drives.
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