BARC OCES Electrical Engineering Syllabus

BARC OCES Electrical Engineering: topic-wise syllabus

1. 1

   Engineering Mathematics

   ~10 marks

   • Linear Algebra — Matrices, Determinants, Eigenvalues, Eigenvectors, System of Equations, Vector Spaces
   • Calculus — Limits, Continuity, Differentiation, Integration, Partial Derivatives, Vector Calculus
   • Differential Equations — ODEs of First & Higher Orders, Laplace Transforms, PDEs, Boundary Value Problems
   • Complex Variables — Analytic Functions, Complex Integration, Cauchy Integral Theorem, Residues
   • Probability & Statistics — Random Variables, Distributions, Sampling, Estimation, Correlation
   • Numerical Methods — Solutions of Linear/Nonlinear Equations, Interpolation, Integration
2. 2

   Electric Circuits & Networks

   ~12 marks

   • Network Elements — Resistor, Capacitor, Inductor, Voltage/Current Sources, Controlled Sources
   • Network Laws — KCL, KVL, Ohm's Law, Nodal & Mesh Analysis, Superposition, Thevenin, Norton, MPT
   • AC Circuits — Phasors, Sinusoidal Steady State, Power, Power Factor, Resonance, Polyphase Circuits
   • Transient Analysis — RC, RL, RLC Circuits, Time Constants, Laplace Transform in Circuit Analysis
   • Two-Port Networks — Z, Y, h, ABCD Parameters, Network Functions, Poles & Zeros
   • Network Graph Theory — Incidence Matrix, Cut-Set, Tie-Set, State Equations
   • Filters & Synthesis — Passive Filters, Attenuators, Network Synthesis
   • Magnetically Coupled Circuits — Mutual Inductance, Transformers, Dot Convention
   • Three-Phase Circuits — Star/Delta Connection, Balanced/Unbalanced Loads, Power Measurement
3. 3

   Electromagnetic Fields

   ~10 marks

   • Electrostatics — Coulomb's Law, Gauss's Law, Electric Field, Potential, Capacitance, Dielectrics
   • Magnetostatics — Biot-Savart Law, Ampere's Law, Magnetic Field, Inductance, Magnetic Materials
   • Maxwell's Equations — Integral & Differential Forms, Boundary Conditions, Poynting Vector
   • Electromagnetic Waves — Wave Equation, Plane Waves, Polarization, Reflection & Refraction, Transmission Lines
   • Waveguides & Antennas — Rectangular Waveguides, TE/TM Modes, Radiation, Antenna Parameters
   • Transmission Line Theory — Smith Chart, Impedance Matching, Standing Waves, S-parameters
4. 4

   Electrical Machines

   ~14 marks

   • DC Machines — Construction, Armature Winding, EMF, Torque, Commutation, Characteristics, Starting, Speed Control
   • Transformers — Equivalent Circuit, Regulation, Losses, Efficiency, Auto-transformer, Three-Phase Transformer
   • Induction Motors — Construction, Torque-Slip Characteristics, Equivalent Circuit, Starting, Speed Control, Braking
   • Synchronous Machines — Construction, EMF, Voltage Regulation, Salient Pole, V-curves, Parallel Operation, Synchronous Motor
   • Special Machines — Stepper Motor, BLDC, Servo Motor, Reluctance Motor, Induction Generator
   • Testing & Condition Monitoring — Insulation, Temperature Rise, Vibration Analysis, Protective Relays
5. 5

   Power Systems

   ~12 marks

   • Power Generation — Thermal, Hydro, Nuclear, Gas, Solar, Wind, Renewable Integration
   • Transmission — AC & DC Transmission, Sag & Tension, Insulators, Corona, HVDC, FACTS
   • Distribution — Substations, Voltage Regulation, Feeders, Power Quality, Smart Grid
   • Load Flow Analysis — Gauss-Seidel, Newton-Raphson, Fast Decoupled, Slack Bus, PQ/PV Buses
   • Fault Analysis — Symmetrical & Unsymmetrical Faults, Sequence Networks, Short Circuit Calculations
   • Stability — Steady-State, Transient, Swing Equation, Equal Area Criterion, FACTs Controllers
   • Protection — Relays, Circuit Breakers, Protection Schemes (Distance, Differential, Overcurrent), CT/PT
   • Economic Operation — Load Dispatch, Unit Commitment, Economic Dispatch, OPF
6. 6

   Control Systems

   ~10 marks

   • Block Diagrams & Signal Flow Graphs — Transfer Functions, Mason's Gain Formula
   • Time Response — First/Second Order Systems, Transient & Steady-State Response, Error Constants
   • Root Locus — Construction Rules, Stability Analysis, Gain Margin, Phase Margin
   • Frequency Response — Bode Plot, Nyquist Criterion, Polar Plot, Nichols Chart, GM, PM
   • State Space Analysis — State Models, Controllability, Observability, Transfer Function from SS
   • Stability — Routh-Hurwitz Criterion, Absolute & Relative Stability
   • Controller Design — P, PI, PID, Lead/Lag Compensators, Design via Root Locus & Bode
   • Digital Control — Z-Transform, Sampling, Discrete Systems, Stability in Z-Domain
7. 7

   Analog & Digital Electronics

   ~7 marks

   • Semiconductor Devices — Diode, BJT, FET, MOSFET, Thyristor, Characteristics, Biasing
   • Amplifiers — Small Signal, Multistage, Differential, Operational Amplifier, Feedback, Oscillators
   • Power Electronics — Rectifiers, Inverters, Chopper, Cycloconverter, Switching Devices, Applications
   • Digital Logic — Boolean Algebra, Logic Gates, Combinational & Sequential Circuits, Counters, Registers
   • Microprocessors — 8085/8086 Architecture, Programming, Interfacing, Memory, I/O, Interrupts
   • Electrical Measurements — Bridges, Potentiometers, Instrument Transformers, Digital Meters, Oscilloscopes
   • Sensors & Transducers — RTD, Thermocouple, Strain Gauge, LVDT, Piezoelectric, Signal Conditioning