# Electrical Engineering Semester 4 Syllabus

Electrical Engineering Semester 4 Syllabus

Applied Mathematics IV |

Calculus of variation 10 1.1 Euler Langrange equation, solution of Euler’s Langrange equation (only results for different cases for function) independent of a variable, independent of another variable, independent of differentiation of a variable and independent of both variables 1.2 Isoperimetric problems, several dependent variables 1.3 Functions involving higher order derivatives: Rayleigh-Ritz method 2.0 Linear algebra: vector spaces 12 2.1 Vectors in n-dimensional vector space: Properties, dot product, cross product, norm and distance properties in n-dimensional vector space. 2.2 Metric spaces, vector spaces over real field, properties of vector spaces over real field, subspaces. 2.3 Norms and normed vector spaces 2.4 Inner products and inner product spaces 2.5 The Cauchy-Schwarz inequality, orthogonal Subspaces, Gram-Schmidt process 3.0 Linear Algebra: Matrix Theory 15 3.1 Characteristic equation, Eigenvalues and Eigenvectors, properties of Eigenvalues and Eigenvectors 3.2 Cayley-Hamilton theorem, examples based on verification of Cayley-Hamilton theorem 3.3 Similarity of matrices, Diagonalisation of matrix 3.4 Functions of square matrix, derogatory and non-derogatory matrices 3.5 Quadratic forms over real field, reduction of quadratic form to a diagonal canonical form, rank, index, signature of quadratic form, Sylvester’s law of inertia, value-class of a quadratic form of definite, semi- definite and indefinite Singular Value Decomposition 4.0 Complex variables: Integration 15 4.1 Complex Integration: Line Integral, Cauchy’s Integral theorem for simply connected regions, Cauchy’s Integral formula 4.2 Taylor’s and Laurent’s series Zeros, singularities, poles of f(z), residues, Cauchy’s Residue theorem 4.4 Applications of Residue theorem to evaluate real Integrals of different types |

Text books: 1) A Text Book of Applied Mathematics Vol. I & II by P.N.Wartilar & J.N.Wartikar, Pune, Vidyarthi Griha Prakashan., Pune 2) Mathematical Methods in science and Engineering, A Datta (2012) 3) Higher Engg. Mathematics by Dr. B.S. Grewal, Khanna Publication |

Internal Assessment (IA): Two tests must be conducted which should cover at least 80% of syllabus. The average marks of both the tests will be considered for final Internal Assessment. End Semester Examination: 1. Question paper will comprise of 6 questions, each carrying 20 marks. 2. The students need to solve total 4 questions. 3: Question No.1 will be compulsory and based on entire syllabus. 4: Remaining question (Q.2 to Q.6) will be selected from all the modules. |

Elements of Power System (abbreviated as EPS) |

Introduction:Typical AC supply system, comparison between DC and AC supply system, choice of working voltage for transmission and distributionTransmission line parameters Resistance: Resistance, skin effect and proximity effect Inductance Definition of inductance, inductance of single phase two wire line, conductor types, bundled conductors. Inductance of composite conductor, single circuit three phase line, double circuit three phase line Capacitance Potential difference between two conductors of a group of parallel conductors, capacitance of a two wire line, three phase line with equilateral spacing, three phase line with unsymmetrical spacing earth effect on transmission line capacitance, bundled conductors, method of GMDPerformance of transmission line Representation of power system components Single phase solution of balanced three phase networks. One line diagram, impedance and reactance diagram. Per unit (p.u.) system, per unit impedance diagram, representation of loads Transmission line model Short, medium, and long line model. Equivalent circuit of a long line. Ferranti effect. Tuned power lines, surge impedance loading, power flow through transmission lines (Numerical compulsory) Overhead Transmission Line Grounding and safety techniques |

Assessment: Internal Assessment consists of two tests out of which; one should be compulsory class test (on minimum 02 Modules) and the other is either a class test or assignment on live problems or course project. Books Recommended: Text Books: 1. Wadhwa C.L. ‘Electrical power system’, New Age International,4th edition,2005 2. J B. Gupta, ‘A Course In Power Systems’, S. K. Kataria & Sons, 2009 3. Soni M.L., Bhatanagar U.S, Gupta P.V, ‘A course in electrical power’, Dhampat Rai and Sons., 1987 4. D. P. Kothari, I. J. Nagrath, ‘Modern Power System Analysis’, Mc Graw Hill 5. B.R. Gupta, ‘Power System Analysis And Design’, S.Chand |

Term work: Term work shall consist of minimum eight combination of experiments, tutorials and simulations (minimum two) , assignments(min two) The distribution of marks for term work shall be as follows: Laboratory work (Experiment/ programs and journal) :10 marks Assignments : 10 marks Attendance (Theory and Practical) : 05 marks |

Theory Examination: 1. Question paper will comprise of 6 questions, each carrying 20 marks. 2. Total four questions need to be solved. 3: Q.1 will be compulsory, based on entire syllabus wherein sub questions of 2 to 5 marks will be asked. 4: Remaining question will be randomly selected from all the modules. |

Electrical Machines- I (abbreviated as EMC-I) Electrical Engineering Semester 4 Syllabus |

Basics of Magnetism Magnetic field, Magnetic circuit, Numerical from series parallel magnetic circuit, Flux linkage, Inductance and energy, Faraday’s laws, Hysteresis and eddy current losses.Electromechanical Energy Conversion Principle, Energy stored in magnetic field, Torque in singly excited magnetic field, Reluctance motor, Doubly excited magnetic field, Torque from energy and Co- energy. Dynamic equations DC Machines Construction of machine, Armature winding, Principle of operation, MMF and flux density waveforms, Significance of commutator and brushes in DC machine, EMF and Torque equation, Methods of excitations, Armature reaction, Methods to minimize the effect of armature reaction, Process of commutation, Methods to improve commutation.DC Motors Characteristics of DC Motors, Concept of braking of DC separately excited motors (Rheostatic, Regenerative and plugging). Starters for shunt and series motors, Design of grading of resistance for starter, Speed Control, Losses and efficiency, Applications of DC motor. Testing of DC Motors Transformer – Single Phase |

Assessment: Internal Assessment consists of two tests out of which; one should be compulsory class test (on minimum 02 Modules) and the other is either a class test or assignment on live problems or course project. Books Recommended: Text Books: 1. Bimbhra P.S., Electric Machinery , Khanna Publisher, 2. Bimbhra P.S., Generalized Machine Theory, Khanna Publisher, 3. Kothari D.P, Nagrath I.J., Electric Machines, TMH Publishcations 4. A.E. Fitzgerald, Kingsly, Stephen., Electric Machinery, Tata McGraw Hill 5. Umanand L, Bhat S.R., “Design of Magnetic Components for Switched mode Power Converters”, Wiley Eastern Ltd. |

Term work: Term work shall consist of minimum eight experiments, assignments (min two) The distribution of marks for term work shall be as follows: Laboratory work (Experiments) : 10 marks Assignments : 10 marks Attendance (Theory and Practical) : 05 marks |

Theory Examination: 1. Question paper will comprise of 6 questions, each carrying 20 marks. 2. Total four questions need to be solved. 3: Q.1 will be compulsory, based on entire syllabus wherein sub questions of 2 to 5 marks will be asked. 4: Remaining question will be randomly selected from all the modules. |

Signal Processing (abbreviated as SP) Electrical Engineering Semester 4 Syllabus |

-Definition and classification of signals and systems -Sampling process and Sampling Theorem (derivation not included) -Operations on signals (Continuous and Discrete Time) -Convolution (Continuous and Discrete Time)-Fourier Series , Power spectrum, Power spectral density -Fourier Transform, Energy spectrum, Energy spectral density -Z-Transform (single & double sided), ROC determination -Properties of Z-Transform -Inverse Z-Transform-Solution of difference equation -Magnitude and phase response of LTI system -Pole-zero diagram Frequency Domain Analysis of DT systems:- -DTFT (Discrete time Fourier Transform) |

Assessment: Internal Assessment consists of two tests out of which; one should be compulsory class test (on minimum 02 Modules) and the other is either a class test or assignment on live problems or course project. Books Recommended: Text Books: 1. Salivahan S., “Digital Signal Processing”, TMH Publication,2001. 2. Oppenhein & Schafer, “Discrete Time Signal Processing”, PHI Publication 1989. 3. Haykin S and Van Veen B., “Signal & Systems”, Wiley Publication, 2nd Ed. 4. Linder D.K., “Introduction to Signal & Systems”, McGraw Hill International,1999. |

Term work: Term work shall consist of minimum six experiments/six simulations/combination of experiments and simulations, tutorials , assignments(min two) The distribution of marks for term work shall be as follows: Laboratory work (Experiment/ programs and journal) :10 marks Assignments : 10 marks Attendance (Theory and Practical) : 05 marks |

Theory Examination: 1. Question paper will comprise of 6 questions, each carrying 20 marks. 2. Total four questions need to be solved. 3: Q.1 will be compulsory, based on entire syllabus wherein sub questions of 2 to 5 marks will be asked. 4: Remaining question will be randomly selected from all the modules. |

Analog and Digital Integrated Circuits (abbreviated as ADIC) Electrical Engineering Semester 4 Syllabus |

Operational Amplifiers: Fundamentals Basics of an Op-amp, Op-amp parameters, Frequency response 03Application of Operational Amplifiers Voltage follower, design of inverting and non- inverting amp, adder, subtractor, integrator and differentiator, V to I and I to V converter, precision rectifier, Schmitt trigger, sample and hold circuits, clipping and clamping, active filters: LP, HP and BP, Instrumentation amplifier, Optical isolation amplfier Linear Voltage Regulators – IC -78xx, 79xx, LM 317. Design of adjustable voltage source using IC- LM317, Low Dropout (LDO) voltage regulator IC – 555 – functional block diagram, Application of IC555 – Design of Multivibrator (Monostable and Astable), VCOAnalog-to-Digital converter (ADC) – Characteristics and types of ADC – i) Successive approximation, ii) Flash ADC, iii) Dual slope, Serial ADC Basics of Digital to Analog converter (DAC) Logic families : Combinational Logic Circuit: Sequential Logic Circuits : |

Assessment: Internal Assessment consists of two tests out of which; one should be compulsory class test (on minimum 02 Modules) and the other is either a class test or assignment on live problems or course project. Books Recommended: Text Books: 1. Gayakwad Ramakant A, Op-amps and Linear Integrated Circuits, Prentice Hall PTR, 2. Boatkar K. R., “Integrated Circuits”, Khanna Publication. 3. D. Roy Choudhury, Shali B Jain, “Linear Integrated Circuits” New Age International Publication. 4. Millman and Halkias, ‘Integrated Electronics’, Tata McGraw Hill, 5. A. Anand Kumar, “Fundamentals of Digital Circuits”, PHI-2009 6. Jain R.P., “Modern Digitals Electronics”, Tata McGraw Hill, 1984. 7. Roger L. Tokheim, “Digital Electronics”, Tata McGraw Hill |

Term work: Term work shall consist of minimum eight experiments, assignments (min two) The distribution of marks for term work shall be as follows: Laboratory work (Experiments) : 10 marks Assignments : 10 marks Attendance (Theory and Practical) : 05 marks |

Theory Examination: 1. Question paper will comprise of 6 questions, each carrying 20 marks. 2. Total four questions need to be solved. 3: Q.1 will be compulsory, based on entire syllabus wherein sub questions of 2 to 5 marks will be asked. 4: Remaining question will be randomly selected from all the modules. |

Numerical Methods and Optimization Techniques (abbreviated as NMOT) |

Error Analysis: Types, estimation, error propagation.2 Roots of equation: Bracketing Methods- The bisection method, the false-position method, Open methods-The Newton-Raphson method, The secant method, Systems of Nonlinear Equations- Newton Raphson method. Application for the design of an electric circuit. Linear Algebraic Equations: LU Decomposition, Solution of currents and voltages in Resistor circuits.3 Curve Fitting: Interpolation with Newton’s divided- difference interpolating polynomials, Lagrange interpolating polynomials, Coefficients of interpolating polynomials, Inverse interpolation, curve fitting with sinusoidal functions. 4 Solution of ordinary differential equation: Predictor –corrector One dimensional unconstrained Optimization: Golden-section |

Assessment: Internal Assessment consists of two tests out of which; one should be compulsory class test (on minimum 02 Modules) and the other is either a class test or assignment on live problems or course project. Books Recommended: Text Books: 1. Chapra Seven C, Canale R P , Numerical Methods for Engineers, Tata McGraw Hill. 2. Schilling, Robert J.,Numerical Methods for Engineers (using MATLAB and C). Thomson Asia Pvt. Ltd. 3. Nita H. Shah ‘Numerical Methods With C++ Programming’ PHI learning Ltd. 4. S. S. Rao, ‘Engineering Optimization’, New Age International Publishers. |

Term work: Term work shall consist of minimum four tutorials and simulations/ programs(minimum four) and assignments(min two) The distribution of marks for term work shall be as follows: Laboratory work (Tutorials/ programs): 10 marks Assignments: 10 marks Attendance (Theory and Practical): 05 marks |

Theory Examination: 1. Question paper will comprise of 6 questions, each carrying 20 marks. 2. Total four questions need to be solved. 3: Q.1 will be compulsory, based on entire syllabus wherein sub questions of 2 to 5 marks will be asked. 4: Remaining question will be randomly selected from all the modules. |