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latest syllabus for electrical engineering

Latest Syllabus for Electrical Engineering Semester 4, Mumbai University

This blog presents the latest syllabus for all the subjects of Semester 4 of Electrical Engineering, MU.

To get better grades in your University Exams, you must be aware of the latest syllabus.

Syllabus for Sem-4 Electrical Engineering, Mumbai University


The syllabus is taken from the official University Website.
While writing this article, the syllabus revised on 2019 is in force.

How many subjects are there for sem-4 Electrical Engineers studying in Mumbai University?

According to the latest syllabus of Electrical Engineering, MU, you will have 5 subjects listed below.

Sr. No. Subjects
1. Engineering Mathematics-IV
2. Electrical AC Machines – I
3. Digital Electronics
4. Power Electronics Devices and Circuits
5. Electrical and Hybrid Electric Vehicle

Generally, each subject is held for 100 Marks comprising 70 Marks of University Papers and 30 Marks for Internal Assessment.

The detailed syllabus for each subject is as follows:-

Engineering Mathematics-IV

Unit -I (Complex Integration ).
1.1 Line Integral, Cauchy’s Integral theorem for simple connected and multiply connected regions (without proof), Cauchy’s Integral formula (without proof).

1.2 Taylor’s and Laurent’s series (without proof).

1.3 Definition of Singularity, Zeroes, poles of f(z), Residues, Cauchy’s Residue Theorem (without proof).

Self-learning Topics: Application of Residue Theorem to evaluate real integrations, Z-
Unit –II (Statistical Techniques)

2.1 Karl Pearson’s Coefficient of correlation (r)

2.2 Spearman’s Rank correlation coefficient (R) (repeated and non-repeated ranks)

2.3 Lines of regression.

2.4 Fitting of first and second degree curves.

Self-learning Topics: Covariance, fitting of exponential curve.
Unit –III (Probability Distributions:)
2.1 Baye’s Theorem, Random variable: Probability distribution for discrete and continuous random variables, Density function and distribution function.

3.2 Expectation, mean and variance.

3.3 Probability distribution: Poisson & normal distribution.

Self-learning Topics: Moments, Moment Generating Function, Applications of Probability Distributions in Engineering.
Unit –IV (Linear Algebra: Vector Spaces:)
4.1 Vectors in n-dimensional vector space, norm, dot product, The Cauchy-Schwarz inequality (with proof), Unit vector.

4.2 Orthogonal projection, Orthonormal basis, Gram-Schmidt process for vectors.

4.3 Vector spaces over real field, subspaces.

Self-Learning Topics: Linear combinations, linear Dependence and Independence, QR decomposition.
Unit -V (Linear Algebra: Quadratic Forms)
5.1 Quadratic forms over real field, Linear Transformation of Quadratic form, Reduction of Quadratic form to diagonal form using congruent transformation.

5.2 Rank, Index and Signature of quadratic form, Sylvester’s law of inertia, Value- class of a quadratic form-Definite, Semidefinite and Indefinite.

5.3 Reduction of Quadratic form to a canonical form using congruent transformations.

5.4 Singular Value Decomposition.

Self-learning Topics: Orthogonal Transformations, Applications of Quadratic forms and SVD in Engineering.
Unit VI :- (Calculus of Variations)
6.1 Euler-Lagrange equation (Without Proof), When F does not contain y, When F does not contain x, When F contains x, y, y’.

6.2 Isoperimetric problems- Lagrange Method.

6.3 Functions involving higher order derivatives: Rayleigh-Ritz Method.

Self-Learning Topics:- Brachistochrone Problem, Variational Problem, Hamilton Principle, Principle of Least action, Several dependent variables.

Electrical AC Machines – I

Unit -I (Single phase Transformer).
Review of working principle, EMF equation and Equivalent Circuit, Phasor diagram (Resistive, Inductive and capacitive load), voltage regulation, Losses and Efficiency, Condition for Maximum Efficiency, Parallel Operation: No load Operation, On load

Operation: – Equal Voltage Operation and Unequal Voltage Operation, Testing of Transformer: OC and SC test, Sumpner’s Test
Unit –II ( Autotransformer)

Working, Advantages of Autotransformer over two winding Transformer, Disadvantages, Isolation Transformer working and its applications.
Unit –III (Three Phase Transformer:)
Constructional details, Principle of operation, Connections and Phasor groups, Parallel operation, Excitation Phenomenon in transformers, Harmonics in three phase transformers, Suppression of harmonics, Oscillating neutral phenomenon, Switching intransient phenomenon, Open delta or V – connection, Three phases to two phase conversion (Scott connection).
Unit –IV (Three Phase Induction Motor:)
Review of Constructional details and Principle of operation, Slip, Rotor emf and frequency, current and power, Power stages, Phasor diagram, Equivalent circuit, Torque-speed characteristics in braking ,motoring and generating regions, Losses and efficiency, No load and blocked rotor test, Circle diagram, Applications.
Unit -V (Starting and Speed control of Three Phase Induction Motor:)
Need of starter, Types of starters: Direct On Line (DOL) starter, Rotor resistance starter, Autotransformer and Star delta starters, Speed control: Voltage control, Frequency control, Pole changing method, V/f control.
Unit -VI (Single phase Induction Motor:)
Principle of operation (Review), Double field revolving theory, Equivalent circuit of single phase induction motor, Determination of equivalent circuit parameters from no load and block rotor test, Staring methods, Split phase starting- Resistance spilt phase, capacitor split phase, capacitor start and run, shaded pole starting, Applications of 1ɸ IM

Digital Electronics

Unit -I (Fundamentals of Digital Systems and Logic families:)
Number formats: Binary, signed binary, Octal, hexadecimal, BCD and their basic math
operations (addition and subtraction)

Logic gates: Digital signals, digital circuits, AND, OR, NOT, NAND, NOR and Exclusive-OR operations, Boolean Algebra, Specifications of Digital IC

Logic Families: TTL, CMOS logic families, Comparison of TTL and CMOS
Interfacing of TTL and CMOS, Tri-state logic
Unit –II (Combinational Digital Circuits:)
Design & Simplification of logic functions: K-map representation, simplification of logic functions using K-map (upto 4 variables), Minterm, maxterm, SOP and POS implementation, realization of logic function using universal gates
Binary Arithmetic circuits: Adder and Subtractor (Half and Full), Multiplier, 2 bit comparators, Multiplexer, de-multiplexer, decoder

Designing code converter circuit: binary to gray, Gray to Binary, Multiplexer (ULM), De-multiplexers, BCD to 7 segment

Unit –III (Sequential Digital Circuits)
Comparison of combinational & sequential circuit, Flip-flops -SR, JK,T, D, Master Slave JK, Counters-Modulus of counter, Design of Synchronous, Asynchronous counters, Ripple Up/Down Counter, Ring counter, Shift Registers –Right and left shift registers, Serial to parallel converter, parallel to serial converter, applications of counters.
Unit –IV (A/D and D/A Converters:)
Digital to Analog converter: Weighted resistor converter, R-2R ladder D/A converter, examples of D/A converter ICs. Analog to Digital converter: sample and hold circuit, Quantization and encoding, successive approximation A/D converter, dual slope A/D converter, voltage to frequency and voltage to time conversion, specifications of A/D converters, example of A/D converter ICs
Unit -V (Semiconductor Memories:)
Classification and characteristics of memories, Memory organization and operation, expanding memory size- Memory mapping and address decoding , sequential memory, read only memory (ROM), read and write memory (RAM), content addressable memory (CAM), commonly used memory chips
Unit VI (Programmable Logic Devices:)
ROM as a programmable logic device, programmable logic array, programmable array logic, Complex Programmable Logic Devices (CPLDs), Field Programmable Gate Array (FPGA)

Power Electronic Devices and Circuits

Unit -I (Thyristors: ).
Basic operation of silicon controlled rectifier, Static characteristics, two transistor analogy, Dynamic characteristics, Firing circuits (R,RC, Ramp triggering using UJT), Commutation circuits, Protection circuit of SCR.

Self study topic: Other devices of Thyristor family
Unit –II (Power semiconductor devices: )
Basic operation and characteristics of power diodes, power BJTs, power MOSFETs, IGBTs, Safe Operation Area (SOA) for each devices, Silicon Carbide (SiC) and GaN devices, Comparison of devices, selection of devices for various applications, Conduction and switching losses.
Unit –III (Controlled Rectifiers:)
Single phase half wave rectifiers, full wave rectifiers (mid-point and bridge configuration) for R and R-L load, freewheel diode, Rectification and inversion mode of single phase fully controlled rectifier, single phase dual converter, Three phase semi converter and full converter with R load, Applications, calculation of output voltage,
single phase PWM rectifier, basic working principle and applications.
Unit –IV (Inverter:)
Classification based on source and power level, Single phase bridge Inverters (VSI), Performance parameters, Three phase VSI (120° and 180° conduction mode), Voltage control of single phase inverters- PWM techniques-Single PWM, Multiple PWM, Sinusoidal PWM, Basics of Space vector modulation, Single phase current source inverters (CSI), comparison of VSI and CSI.
Unit -V (DC to DC Converter: )
Introduction, Switching mode regulators – Buck, Boost, Buck-Boost, bidirectional dc to dc converters, all with resistive load and only CCM mode, Applications: Power Factor Correction Circuits, LED lamp driver.
Unit VI :- ( Auxiliary Circuits:)
Types of drivers-level shifters, bootstrap drivers, isolated drivers, Gate Drive circuitry for Power Converters, methods of current and voltage measurement, snubber circuits and heat sinks.

Electric and Hybrid Electric Vehicle

Unit -I (Introduction:)
Basics of vehicles mechanisms, history of electric vehicles (EV) and hybrid electric vehicles (HEV), need and importance of EV and HEV, Power/Energy supplies requirements for EV/HEV applications. State of the art and Indian and global scenario in EV/HEV
Unit –II (Drive-train Topologies:)
Various electric drive-train topologies, basics of hybrid traction system, various hybrid drive-train topologies, power flow control in drive-train topologies, fuel efficiency analysis.
Unit –III (DC and AC Machines for Propulsion Applications:)
Electric system components for EV/HEV, suitability of DC and AC machines for EV/HEV applications, AC and DC Motor drives.
Unit –IV (Energy Sources for EV/HEV:)
Requirements of energy storage in EV/HEV: batteries, fuel cells, flywheels and ultra-capacitors as energy sources for EV/HEV, characteristics and comparison of energy sources for EV/HEV, hybridization of different energy sources. EV battery chargers: AC and DC, Fast chargers and related standards
Unit -V (Drive-train Modelling and Design Considerations 🙂
Modeling and analysis of EV/HEV drive train: Total tractive force calculation, sizing of motor, and design considerations for power electronics drive.
Unit VI (Energy Management Strategies and Energy Efficiency:)
EV/HEV energy management strategies, classification and comparison of various energy management strategies. Basic EV AC and DC Chargers, G2V and V2G concept.

You can refer to Previous University Papers & Solutions by Experts for 4 th sem here,

All the Best !

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