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SEMESTER-I 18ED01/18EA01/18EE01/18EM01 MATHEMATICS OF SYSTEMS ENGINEERING 2 2 0 3 VECTOR SPACES: Real vector spaces, subspaces, linear independence – basis and dimension of a vector space - inner product space, orthonormal bases, Gram-Schmidt process. (8+7) LINEAR TRANSFORMATIONS: General linear transformations, kernel and range, inverse linear transformations, matrices of general linear transformations, eigenvalues and eigenvectors, diagonalization. (8+7) CALCULUS OF VARIATIONS: Variational problems of fixed boundaries: Variations and its properties - simplest variational problems – Euler equation – Brachistochrone problem – variational problems involving several unknown functions – Functional involving first and second order derivatives. (8+7) STOCHASTIC PROCESSES: Classification. Markov chain: Transition probability matrices – Chapman Kolmogorov equations - classification of states, limiting probabilities, Poisson process - continuous time Markov chains: Birth-death processes. (8+7) Total L:32 + T:28 = 60 REFERENCES: 1. Howard Anton and Chris Rorres, “Elementary Linear Algebra: Applications Version”, Wiley India, New Delhi, 2018. 2. David C Lay, “Linear Algebra and its Applications”, Pearson Education, New Delhi, 2017. 3. Medhi J., “Stochastic Processes”, New Age International Publishers, New Delhi, 2017. 4. Saeed Ghahramani, “Fundamentals of Probability with Stochastic Processes”, Pearson, New Delhi, 2016. 5. Elsgolts L., “Differential Equation and Calculus of Variation”, MIR Publication, Moscow, 1977. 18ED02 POWER SEMICONDUCTOR DEVICES 3 0 0 3 INTRODUCTION & POWER DIODES: Status of Development of power semiconductor Devices - Types of static switches - Controlled and uncontrolled - Ideal and real switches – on-state and switching losses. EMI due to switching. Use of heat sinks – selection parameters and mounting techniques Power Diodes: Types - Electrical rating - Switching and steady state characteristics - Switching aid circuits - Series and parallel operation - Schottky diodes - Fast recovery diodes. (11) THYRISTORS: Physics of device operation - Electrical rating. Types of thyristors: Asymmetrical thyristor - Reverse conducting thyristors, light fired thyristors. Turn on & off mechanisms, Gate circuit requirements - Driver circuit- Protection - Switching and steady state characteristics-Switching losses. Series and parallel operation of thyristors. TRIACS, GTOS AND MCTS: Electrical rating - Switching and steady state characteristics - Protection - Gate circuit requirements. (11) POWER TRANSISTORS: Types - Ratings - Static and switching characteristics - Driver circuit - Switching aid circuit - Power Darlington. POWER MOSFETS: Types - Comparison with BJTs - Structure - Principle of operation - Switching losses - Driver circuit - Switching aid circuit. (11) IGBTS: Comparison with power BJT and MOSFET - Structure - Principle of working - Switching characteristics - Gate drive requirements. HV IGBT structure - Principle of working - Comparison with GTO. EMERGING DEVICES: SITs-characteristics - Power Integrated circuit – Characteristics - Field controlled thyristors - New semiconductor materials for devices - Intelligent power modules. Integrated Gate commutated Thyristor (IGCT). Comparison of Power semiconductor devices. (12) Total L : 45 REFERENCES: 1. MD Singh and K B Khanchandani, "Power Electronics" Tata McGraw Hill, 2nd Edition, 2006. 2. Rashid, M.H., "Power Electronics: Circuits, Devices and Applications", Prentice Hall of India, New Delhi, 3rd Edition, 2003. 3. Ned Mohan, Tore M. Undeland and William P. Robbins., "Power Electronics: Converters, Applications and Design", John Wiley and Sons, 3rd Edition, 2003. 4. Joseph, Vithayanthil, "Power Electronics: Principles and Applications," McGraw Hill,1995. 5. Williams, B.W., "Power Electronics: Devices, Drivers, Applications and Passive Components", ELBS Oxford University Press, 1992. 6. Sen PC,"Modern Power Electronics ", Wheeler publishing Co, McGraw Hill, 2005. 18ED03 / 18EM35 MODELLING AND CONTROL OF POWER CONVERTERS 3 0 0 3 STATE SPACE MODELLING: Review of basic control theory – Control design techniques such as P, PI,PID and lead lag compensator design. State space control design approach –Modeling of physical systems - Solution to vector differential equations and state transition matrix.- Controllability and Observability Small signal Model of Power Converters: - Linearizing Averaged Power Stage Dynamics - Frequency Response of Converter Power Stage - Small-Signal Gain of PWM Block - Small-Signal Model for PWM DC-to-DC Converters (12) 117 TRANSFER FUNCTIONS AND STATE SPACE MODEL OF POWER CONVERTER: Bode Plot for Transfer Functions - Power Stage Transfer Functions and State space modelling of Buck Converter, Boost Converter, and Buck/Boost Converter - Empirical Methods for Small-Signal Analysis (11) DYNAMIC PERFORMANCE AND CLOSED LOOP PERFORMANCE OF POWER CONVERTERS: Frequency Domain Performance Criteria - Time-Domain Performance Criteria, Stability of Power Converters: - Nyquist Criterion - Relative Stability: Gain Margin and Phase Margin Asymptotic Analysis Method – Frequency-Domain Performance - Voltage Feedback Compensation and Loop Gain - Compensation Design and Closed-Loop Performance (11) INTRODUCTION TO NONLINEAR SYSTEMS: Phase plane analysis of nonlinear system using linear approximation - Limit cycle and periodic solutions - Singular points and qualitative behaviour. Stability of nonlinear systems - Lyapunov direct and indirect methods (11) Total L: 45 REFERENCES: 1. Pulsewidth Modulated DC-to-DC Power Conversion Circuits, Dynamics, and Control Designs, Byungcho Choi, IEEE Press, Published by John Wiley & Sons, Inc, 2013. 2. Sira -Ramirez, R.Silva Ortigoza, ‘Control Design Techniques in Power Electronics Devices’, Springer, 2006. 3. Ogata, K., ‘Modern Control Engineering’, Prentice Hall of India, 2010. 4. C.T. Chen, ‘Linear Systems Theory and Design’’ Oxford University Press, 3rd Edition, 1999. 5. Hassan K. Khalil, ‘Nonlinear Systems’, Pearson Educational International Inc. Upper Saddle River, 3rd Edition, 2001. 6. Applied Nonlinear Control, Jean-Jacques E. Slotine, Weiping Li, Prentice Hall, 1991 - Technology & Engineering 18ED04 POWER CONVERTERS AND ANALYSIS 3 2 0 4 AC TO DC CONVERTERS: Single phase and three phase bridge rectifiers, Fully controlled converters with RL, RLE loads, Freewheeling diode, Dual Converter, PWM rectifiers Evaluation of performance parameter, Input harmonics and output ripple, smoothing inductance, power factor, effect of source inductance and overlap, Design of converter circuits – Snubber circuit design - Control circuit strategies. (12+7) DC TO DC CONVERTERS: DC choppers: Step down dc chopper with R, RL and RLE loads - Control strategies- Continuous and discontinuous current operations - Two quadrant and four quadrant DC chopper - Multiphase DC chopper - Switching mode regulators: Buck, Boost, Buck-Boost and CUK regulators - Chopper circuit design – Control circuit strategies. (11+8) AC TO AC CONVERTERS: Principle of phase control, single-phase bi-directional controllers with R, L and R-L loads, 3-phase bi- directional Controllers, different Configurations, Analysis with pure R and L loads. Principle of operation, - single phase and three phase cyclo converters - Control circuit strategies. (11+7) DC TO AC CONVERTERS: Single phase and Three phase bridge inverters - Evaluation of performance parameters –Voltage control and Waveform improvement Techniques – Current source inverters - Inverter circuit design - SVPWM – Introduction to multilevel inverter (11+8) Total L: 45 + T: 30 = 75 REFERENCES: 1. Rashid M.H., “Power Electronics Circuits, Devices and Applications ", Prentice Hall India, 3rd Edition, New Delhi, 2013. 2. VedamSubrahmanyam, "Power Electronics", New Age International (P) Limited, New Delhi, 2006. 3. MD Singh and K B Khanchandani,"Power Electronics", McGraw Hill, 2006. 4. Sen PC,"Modern Power Electronics ", Wheeler publishing Co, McGraw Hill, 2005. 5. Ned Mohan, Tore M. Undeland, William P. Robbins, ”Power Electronics: Converters, Applications, and Design”, John Wiley and Sons, Inc., New York, 2003. 6. Ramanarayanan V., "Course Material on Switched Mode Power Conversion", Department of Electrical Engineering, Indian Institute of Science, Bangalore, 2007. 15EA05 / 18ED05 / 15EE05 OBJECT COMPUTING AND DATA STRUCTURES 3 2 0 4 PRINCIPLES OF OBJECT ORIENTED PROGRAMMING: Procedure Oriented Programming, Object Oriented Programming paradigm - Basic concepts and benefits of OOP - Object Oriented Language - Applications of C++ - Operators in C++ - Classes andObjects-Manipulators. Functions in C++- Call by Reference - Return by reference - Inline functions - Default, Const Arguments - Function Overloading - Friend Functions - Member functions - Nesting of Member functions -Private member functions - Static data members - Static Member Functions - Arrays of Objects -Objects as Function Arguments - Friend Functions. (10+7) CONSTRUCTORS: Parameterized Constructor-Copy constructor - Multiple Constructors in a Class – Destructors. Inheritance- Defining Derived Classes - Single Inheritance - Making a Private Member Inheritable - Multiple Inheritance - Hierarchical Inheritance – Hybrid Inheritance. Polymorphism- Compile and Run Time Polymorphism – Operator Overloading - Virtual function. (11+7) DATA STRUCTURES: Abstract data Types - Primitive data structures - Analysis of algorithms - Best, worst and average case time complexities – Notation. ARRAYS: Operations - Implementation of one, two, three and multi dimensioned arrays