Course Contents

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Objectives Purpose of power conversion   Why convert power?
Fundamental Physical Concepts Starts from high school physics level: The Nature of Magnetic Induction     Faraday's Law     Lenz's Law     Self-Inductance
Basic Converter Topologies What is a Basic Topology?      The Basic Buck, Boost and Buck-Boost Converter
Modes of Operation Two Modes of Operation     The Continuous and the Discontinuous Conduction Modes     Basic Energy Transfer Concepts
Design Formulation Derive equations for design. Step-by-step design examples.
Converters Operating in the Discontinuous Conduction Mode Derive equations for design. Comparison of properties between the two modes. Frequency response behaviors of the three basic types of converters operating in the two different modes. Design examples.
The Concept of Duality What is Duality? Some Basic Rules. Applications of the Duality Concept in Power Conversion
The Isolated-Converters Evolution of Buck-Derived Converters. The Push-Pull, the Forward, the Half-Bridge, and the Bridge Converters. Derivation of Design Equations for the Forward Converter with Design Example: Calculation of Turns Ratio, Inductance, Peak Current, etc. Half-Bridge and Bridge Converter Design Examples Complete Derivation of Design Equations for the Buck-boost Derived Flyback Converter in Both Operating Modes. Design of Multiple Output Flyback Converters. The Boost-Buck Derived C~uk Converter Motivation for its discovery. Why is it regarded as 'optimum'? Design example. Frequency response, calculator analysis.
Linearity and Non-Linearity The Meaning of Linearity; Nonlinearity     The Essentially 'Linear' Characteristics of the Buck and Buck-Derived Types of Converters Physical Understanding of the Non-Linear Nature of the Boost and Buck-Boost Converters. The Problems of Analyzing Non-Linear Circuits
The Canonical Model Always in touch with physical significance of the model development. Development of Models for Basic and Derived Converters. Models for Multiple Output Converters.
State-Space Averaging What is State-Space Averaging? Explanation of the Analytical Results The Right Half Plane Zero. The Concept of Effective Output Filter.      The Reason for Higher Loss in Boost and Buck-Boost Converters for given e.s.r. and rL.      The Analysis of Power Converters based on the Results of State-Space Averaging Analysis
Calculator Aided Analysis and Design Still the most portable. Application of the calculator to analyze the open loop response of the power converter     How to tailor loop gain to put the converter response in perspective. Analysis of gain and phase margin.
The Modulator What is a modulator?      Function of the modulator     Principal components.
Fundamentals of Resonant Power Conversion Application of Resonant Inverters in Lamp Ballast Circuits Feedback Theory and System Stability Considerations Basic Feedback Theory from first principles.      The Effect of Feedback on Output and Input Impedance       The Operational Amplifier as a Circuit Element What is Loop Gain? What is Phase Margin? What is Gain Margin? Loop gain adjustment and cross-over frequency. Pole-Zero Transfer Function manipulation. And much more.
Input Filter Interaction Input Filter Interaction with the Feedback Loop Nature of the LC Tuned Circuit The Concept of Negative Resistance Slope of the Power Converter     The Formation of an Oscillator     Concept of the 'Trap' Circuit.
Control of Power Converters Voltage Mode, Feed Forward and Current Mode Control     Loop response of converters using current control: Right half plane zero Single slope roll-off Compensation Ramp in Current Mode Converters: Similarities and differences between the current mode control converter and the duty ratio control voltage mode converter.
The Transformer Fundamental concepts in transformer design. Core Selection Core material and operating frequency. Faraday's Equation. High Frequency Power Transformer design using two basic equations. Design of Drive Transformer: Design of Current Transformers: Accuracy of monitoring value. Magnetizing current. Preloading requirement Core selection. Power loss calculation. Reset methods.
Design of Power Inductors Design of D. C. Biased Power Inductors: Ampere's Law Application Examples of d. c. biased inductors: The output filter inductor The flyback energy storage inductor A. C. Inductor Design: Derivation of design formulas for the a. c. inductor. Application Example of the a. c. inductor: Inverter output filter inductor.
Matrix Transformer Technology What is a matrix transformer? Construction The 'turns ratio' concept. Current density Heat distribution Use conventional transformer techniques to design matrix transformers Trading core area for the number of turns. Applications: The symmetrical push-pull converter. The rotated symmetrical forward converter
Power Factor Correction Reasons for low power factor   Harmonic content.    Power factor in conventional switch mode power converters. Passive power factor correction. Advantages and disadvantages. Active Power Factor Correction The popular boost front-end.   Open loop operations   Closed loop operations with power sense   Comparison of the boost converter operating in the two different conduction modes.   Performance and cost trade off's.   Design of component value for both modes
Measurements and Evaluation Techniques Measurement of system closed loop gain Method of noise reduction.   Concept of relative amplitudes   Signal injection.   Dynamic testing of power converters.
Advanced Topologies Qualitative Overview of: High Conversion Ratio Topologies: D2, and other high ratio Topologies.