Dynamic model of DC-DC converters in DCM: averaged switched model, small signal model- ling of the low frequency model. High frequency dynamics of converter operating in DCM.

Forced commutated AC-AC converters – Matrix Converters: operation, topologies, commutation strategies, voltage modulation – Direct and Indirect schemes.Dynamic model, design of passive elements and control scheme.

Basic Concepts of dynamical systems and stability.Modelling of power system components for stability studies: generators, transmission lines, excitation and prime mover controllers, flexible AC transmission (FACTS) controllers.

Introduction: Nonlinear system behavior, Nonlinear control.

Basic mathematical concepts: Finite dimensional optimization, Infinite dimensional optimization, Con- ditions for optimality, Performance measures for optimal control problems. Dynamic programming: The optimal control law, The principle of optimality, Dynamic programming concept, Recurrence relation, computational procedure, The Hamilton-Jacobi-Bellman equations.

Role of Interface Electronics, Example: Linear Position Sensing, Signal conditioners + ADC, Contactless potentiometer (resistance-capacitance scheme) – Methodology, Interface Circuits, Need of Current/Pneumatic Transmission, Analog Electronic Blocks, OPAMP – internal struc- ture, Open-loop gain, Input R, Output R, DC noise sources and their drifts, CMRR, PSRR, Band- width and stability, Slew rate, Noise – general introduction and noise in opamps and their anal- ysis, Noise-equivalent Bandwidth, Output voltage swing, Compensation Techniques.

Introduction: Parametric models of dynamical systems, Adaptive control problem Real time pa- rameter estimation: Least squares and regression models, Estimating parameters in Dynamical Systems, Experimental conditions, Prior information, MLE, RLS, Instrument variable method. Deterministic Self tuning regulators (STR): Pole placement design, Indirect self-tuning regula- tors, Continuous time self-tuners, Direct self-tuning regulators, disturbances with known charac- teristics.

Basics: Control system representations, System stabilities, Coprime factorization and stabilizing controllers, Signals and system norms Modelling of uncertain systems: Unstructured Uncertain- ties, Parametric uncertainty, Linear fractional transformation, Structured uncertainties.

Robust design specifications: Small gain theorem and robust stabilization, Performance con- siderations, Structured singular values.

Design: Mixed sensitivity optimization, 2-Degree of freedom design, Sub-optimal solutions, Formulae for discrete time cases.

Introduction to Power Semiconductor devices, Device Basic Structure and Characteristics , High current effects in diodes, Breakdown considerations for various devices, Junction Termination techniques for increasing breakdown voltage, edge termination in devices, beveling, open base transistor breakdown Structure & Performance of Schottky and PIN Power Diodes , Parasitic Circuit Elements in Power Diode Rectifiers, Circuit Requirements for Power Transistor Switches, Structure& Performance of Power Transistors: a. MOSFETs; b.

Noise pickup modes and reduction techniques for analog circuits.Use of co-axial cables. Con- ducted and radiated noise emission and control in power circuits. EMI induced failure mecha- nisms in power circuits. Power supply and ground line distribution in digital circuits. Cross talk and reflection issues in digital circuits.PCB design for signal integrity.Shielding of electronic equipment.ESD issues. EMC standards and test equipment.

Fundamentals of Semiconductors: Carrier concentration of semiconductor, Transport Equations, P-N Junction Diode, Schottky Junction Diode and MOSFET. Fundamentals of Compound Sem- iconductors: Introduction of Compound Semiconductors, Properties of Compound semiconduc- tors, Synthesis of Compound Semiconductors.