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    Copyright © 2003by John Wiley & Sons, Inc.

    Chapter 1 Introduction 1-2

    Power Electronic Systems

    • Block diagram

    • Role of Power Electronics

    • Reasons for growth

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    Copyright © 2003by John Wiley & Sons, Inc.

    Chapter 1 Introduction 1-3

    Linear Power Supply

    • Series transistor as an adjustable resistor 

    • Low Efficiency

    • Heavy and bulky

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    Chapter 1 Introduction 1-4

    Switch-Mode Power Supply

    • Transistor as a switch• High Efficiency

    • High-Frequency Transformer 

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    Chapter 1 Introduction 1-5

    Basic Principle of Switch-Mode Synthesis

    • Constant switching frequency• pulse width controls the average

    • L-C filters the ripple

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    Chapter 1 Introduction 1-6

     Application in Adjustable Speed Drives

    • Conventional drive wastes energy across the throttling

    valve to adjust flow rate

    • Using power electronics, motor-pump speed is adjusted

    efficiently to deliver the required flow rate

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    Chapter 1 Introduction 1-7

    Scope and Applications

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    Copyright © 2003by John Wiley & Sons, Inc.

    Chapter 1 Introduction 1-8

    Power Processor as a Combination of

    Converters

    • Most practical topologies require an energy

    storage element, which also decouples the input

    and the output side converters

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    Copyright © 2003by John Wiley & Sons, Inc.

    Chapter 1 Introduction 1-9

    Power Flow through Converters

    • Converter is a general term

    • An ac/dc converter is shown here• Rectifier Mode of operation when power from ac to dc

    • Inverter Mode of operation when power from ac to dc

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    Copyright © 2003by John Wiley & Sons, Inc.

    Chapter 1 Introduction 1-10

     AC Motor Drive

    • Converter 1 rectifies line-frequency ac into dc

    • Capacitor acts as a filter; stores energy; decouples• Converter 2 synthesizes low-frequency ac to motor 

    • Polarity of dc-bus voltage remains unchanged

     – ideally suited for transistors of converter 2

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    Chapter 1 Introduction 1-11

    Matrix Converter 

    • Very general structure

    • Would benefit from bi-directional and bi-polarity switches

    • Being considered for use in specific applications

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    Copyright © 2003by John Wiley & Sons, Inc. Chapter 1 Introduction 1-12

    Interdisciplinary Nature of Power Electronics

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    Copyright © 2003by John Wiley & Sons, Inc. Chapter 2 Power SemiconductorSwitches: An Overview2-1

    Chapter 2 Overview of Power

    Semiconductor Devices

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    Copyright © 2003by John Wiley & Sons, Inc. Chapter 2 Power SemiconductorSwitches: An Overview2-2

    Diodes

    • On and off states controlled by the power circuit

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    Copyright © 2003by John Wiley & Sons, Inc. Chapter 2 Power SemiconductorSwitches: An Overview2-4

    Thyristors

    • Semi-controlled device

    • Latches ON by a gate-current pulse if forward biased

    • Turns-off if current tries to reverse

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    Copyright © 2003by John Wiley & Sons, Inc. Chapter 2 Power SemiconductorSwitches: An Overview 2-6

    Generic Switch Symbol

    • Idealized switch symbol

    • When on, current can flow only in the direction of the arrow

    • Instantaneous switching from one state to the other 

    • Zero voltage drop in on-state

    • Infinite voltage and current handling capabilities

    Switching Characteristics (linearized)

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    Copyright © 2003by John Wiley & Sons, Inc. Chapter 2 Power SemiconductorSwitches: An Overview 2-7

    Switching Characteristics (linearized)

    Switching Power Loss is

    proportional to:

    • switching frequency• turn-on and turn-off times

    Bi l J ti T i t (BJT)

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    Copyright © 2003by John Wiley & Sons, Inc. Chapter 2 Power SemiconductorSwitches: An Overview 2-8

    Bipolar Junction Transistors (BJT)

    • Used commonly in the past• Now used in specific applications

    • Replaced by MOSFETs and IGBTs

    V i C fi ti f BJT

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    Copyright © 2003by John Wiley & Sons, Inc. Chapter 2 Power SemiconductorSwitches: An Overview 2-9

    Various Configurations of BJTs

    MOSFET

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    Copyright © 2003by John Wiley & Sons, Inc. Chapter 2 Power SemiconductorSwitches: An Overview 2-10

    MOSFETs

    • Easy to control by the gate• Optimal for low-voltage operation at high switching frequencies

    • On-state resistance a concern at higher voltage ratings

    Gate Turn Off Thyristors (GTO)

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    Copyright © 2003by John Wiley & Sons, Inc. Chapter 2 Power SemiconductorSwitches: An Overview 2-11

    Gate-Turn-Off Thyristors (GTO)

    • Slow switching speeds

    • Used at very high power levels

    • Require elaborate gate control circuitry

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    IGBT

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    Copyright © 2003by John Wiley & Sons, Inc. Chapter 2 Power SemiconductorSwitches: An Overview 2-13

    IGBT

    MCT

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    Copyright © 2003by John Wiley & Sons, Inc. Chapter 2 Power SemiconductorSwitches: An Overview 2-14

    MCT

    Comparison of Controllable Switches

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    Chapter 2 Power SemiconductorSwitches: An Overview 2-15

    Comparison of Controllable Switches

    Summary of Device Capabilities

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    Chapter 2 Power SemiconductorSwitches: An Overview 2-16

    Summary of Device Capabilities

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    Copyright © 2003by John Wiley & Sons, Inc.

    Chapter 3 Basic Electrical andMagnetic Circuit Concepts 3-1

    Chapter 3

    Review of Basic Electrical andMagnetic Circuit Concepts

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    Copyright © 2003by John Wiley & Sons, Inc.

    Chapter 3 Basic Electrical andMagnetic Circuit Concepts 3-3

    Sinusoidal Steady State

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    Chapter 3 Basic Electrical andMagnetic Circuit Concepts 3-4

    Three-Phase Circuit

    Steady State in Power Electronics

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    Copyright © 2003

    by John Wiley & Sons, Inc.Chapter 3 Basic Electrical and

    Magnetic Circuit Concepts 3-5

    Steady State in Power Electronics

    F i A l i

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    Copyright © 2003

    by John Wiley & Sons, Inc.Chapter 3 Basic Electrical and

    Magnetic Circuit Concepts 3-6

    Fourier Analysis

    Di t ti i th I t C t

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    Copyright © 2003

    by John Wiley & Sons, Inc.Chapter 3 Basic Electrical and

    Magnetic Circuit Concepts 3-7

    Distortion in the Input Current

    • Voltage is assumed to be sinusoidal• Subscript “1” refers to the fundamental

    • The angle is between the voltage and the current fundamental

    Phasor Representation

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    Copyright © 2003

    by John Wiley & Sons, Inc.Chapter 3 Basic Electrical and

    Magnetic Circuit Concepts 3-8

    Phasor Representation

    Response of L and C

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    Copyright © 2003

    by John Wiley & Sons, Inc.Chapter 3 Basic Electrical and

    Magnetic Circuit Concepts 3-9

    Response of L and C 

    Inductor Voltage and Current in

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    Copyright © 2003

    by John Wiley & Sons, Inc.

    Chapter 3 Basic Electrical and

    Magnetic Circuit Concepts 3-10

    Inductor Voltage and Current in

    Steady State

    • Volt-seconds over T equal zero.

    Capacitor Voltage and Current

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    by John Wiley & Sons, Inc.

    Chapter 3 Basic Electrical and

    Magnetic Circuit Concepts 3-11

    Capacitor Voltage and Current

    in Steady State

    • Amp-seconds

    over T equal zero.

     Ampere’s Law

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    by John Wiley & Sons, Inc.

    Chapter 3 Basic Electrical and

    Magnetic Circuit Concepts 3-12

    pe e s a

    • Direction of magnetic field due to currents

    • Ampere’s Law: Magnetic field along a path

    Direction of Magnetic Field

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    by John Wiley & Sons, Inc.

    Chapter 3 Basic Electrical and

    Magnetic Circuit Concepts 3-13

    g

    B-H Relationship; Saturation

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    Chapter 3 Basic Electrical and

    Magnetic Circuit Concepts 3-14

    p;

    • Definition of permeability

    Continuity of Flux Lines

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    by John Wiley & Sons, Inc.

    Chapter 3 Basic Electrical and

    Magnetic Circuit Concepts 3-15

    y

    1 2 3  0φ φ φ+ + =

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     Analogy between Electrical and

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    by John Wiley & Sons, Inc.

    Chapter 3 Basic Electrical and

    Magnetic Circuit Concepts 3-17

    Magnetic Variables

     Analogy between Equations in

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    Copyright © 2003

    by John Wiley & Sons, Inc.

    Chapter 3 Basic Electrical and

    Magnetic Circuit Concepts3-18

    Electrical and Magnetic Circuits

    Magnetic Circuit and its

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    Chapter 3 Basic Electrical and

    Magnetic Circuit Concepts3-19

    Electrical Analog

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    Inductance L

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    by John Wiley & Sons, Inc.

    Chapter 3 Basic Electrical and

    Magnetic Circuit Concepts3-21

    • Inductance relates flux-linkage to current

     Analysis of a Transformer 

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    by John Wiley & Sons, Inc.

    Chapter 3 Basic Electrical and

    Magnetic Circuit Concepts3-22

    Transformer Equivalent Circuit

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    Chapter 3 Basic Electrical and

    Magnetic Circuit Concepts3-23

    Including the Core Losses

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    Chapter 3 Basic Electrical and

    Magnetic Circuit Concepts3-24

    Transformer Core

    Characteristic

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    by John Wiley & Sons, Inc.

    Chapter 3 Basic Electrical and

    Magnetic Circuit Concepts3-25

    Characteristic

    Chapter 4

    Computer Simulation

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    Copyright © 2003

    by John Wiley & Sons, Inc.

    Chapter 4 Computer Simulation of Power

    Electronic Converters & Systems4-1

    Computer Simulation

    System to be Simulated

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    by John Wiley & Sons, Inc.

    Chapter 4 Computer Simulation of Power

    Electronic Converters & Systems4-2

    y

    • Challenges in modeling power electronic systems

    Large-Signal System Simulation

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    Chapter 4 Computer Simulation of Power

    Electronic Converters & Systems4-3

    • Simplest component models

    Small-Signal Linearized Model for

    Controller Design

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    by John Wiley & Sons, Inc.

    Chapter 4 Computer Simulation of Power

    Electronic Converters & Systems

    4-4

    Controller Design

    • System linearized around the steady-state point

    Closed-Loop Operation: Large Disturbances

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    Chapter 4 Computer Simulation of Power

    Electronic Converters & Systems

    4-5

    • Simplest component models

    • Nonlinearities, Limits, etc. are included

    Modeling of Switching Operation

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    Chapter 4 Computer Simulation of Power

    Electronic Converters & Systems

    4-6

    • Detailed device models

    • Just a few switching cycles are studied

    Modeling of a Simple Converter 

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    Chapter 4 Computer Simulation of Power

    Electronic Converters & Systems

    4-7

    • Input voltage takes on two discrete values

    Trapezoidal Method of Integration

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    Chapter 4 Computer Simulation of Power

    Electronic Converters & Systems

    4-8

    • The area shown above represents the integral

     A Simple Example

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    by John Wiley & Sons, Inc.

    Chapter 4 Computer Simulation of Power

    Electronic Converters & Systems

    4-9

    • The input voltage takes on two discrete values

    Modeling using PSpice

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    Chapter 4 Computer Simulation of Power

    Electronic Converters & Systems

    4-10

    • Schematic approach

    is far superior 

    PSpice-based Simulation

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    by John Wiley & Sons, Inc.

    Chapter 4 Computer Simulation of Power

    Electronic Converters & Systems

    4-11

    • Simulation results

    Simulation using MATLAB

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    by John Wiley & Sons, Inc.

    Chapter 4 Computer Simulation of Power

    Electronic Converters & Systems

    4-12

    MATLAB-based Simulation

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    Chapter 4 Computer Simulation of Power

    Electronic Converters & Systems

    4-13

    • Simulation results

    Chapter 5

    Diode Rectifiers

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    Copyright © 2003

    by John Wiley & Sons, Inc.

    Chapter 5 Line-Frequency Diode

    Rectifiers

    5-1

    Diode Rectifier Block Diagram

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    by John Wiley & Sons, Inc.

    Chapter 5 Line-Frequency Diode

    Rectifiers

    5-2

    • Uncontrolled utility interface (ac to dc)

     A Simple Circuit

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    by John Wiley & Sons, Inc.

    Chapter 5 Line-Frequency Diode

    Rectifiers

    5-3

    • Resistive load

     A Simple Circuit (R-L Load)

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    by John Wiley & Sons, Inc.

    Chapter 5 Line-Frequency Diode

    Rectifiers

    5-4

    • Current continues to flows for a while even after the input

    voltage has gone negative

     A Simple Circuit (Load has a dc back-emf)

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    Chapter 5 Line-Frequency Diode

    Rectifiers

    5-5

    • Current begins to flow when the input voltage exceeds the dc back-emf 

    • Current continues to flows for a while even after the input voltage has

    gone below the dc back-emf 

    Single-Phase Diode Rectifier Bridge

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    Chapter 5 Line-Frequency Diode

    Rectifiers

    5-6

    • Large capacitor at the dc output for filtering and energy

    storage

    Diode-Rectifier Bridge Analysis

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    Chapter 5 Line-Frequency Diode

    Rectifiers

    5-7

    • Two simple (idealized) cases to begin with

    Redrawing Diode-Rectifier Bridge

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    Chapter 5 Line-Frequency Diode

    Rectifiers

    5-8

    • Two groups, each with two diodes

    Waveforms with a

    purely resistive load

    and a purely dc current

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    Chapter 5 Line-Frequency Diode

    Rectifiers

    5-9

    at the output

    • In both cases, the dc-side

    voltage waveform is the same

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    Diode-Rectifier Bridge Analysis with AC-

    Side Inductance

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    Chapter 5 Line-Frequency Diode

    Rectifiers

    5-11

    • Output current is assumed to be purely dc

    Understanding Current Commutation

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    Chapter 5 Line-Frequency Diode

    Rectifiers

    5-12

    • Assuming inductance in this circuit to be zero

    Understanding Current Commutation (cont.)

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-13

    • Inductance in this circuit is included

    Current Commutation Waveforms

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-14

    • Shows the volt-seconds needed to commutate current

    Current Commutation in Full-Bridge Rectifier 

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-15

    • Shows the necessary volt-seconds

    Understanding Current Commutation

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-16

    • Note the current loops for analysis

    Rectifier with a dc-

    side voltage

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-17

    DC-Side Voltage and Current Relationship

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-18

    • Zero current corresponds to dc voltage equal to the peak of

    the input ac voltage

    Effect of DC-Side Current on

    THD, PF and DPF

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-19

    • Very high THD at low current values

    Crest Factor versus the Current Loading

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-20

    • The Crest Factor is very high at low values of current

    Diode-Rectifier with a Capacitor Filter 

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-21

    • Power electronics load is represented by an equivalent load

    resistance

    Diode Rectifier Bridge

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-22

    • Equivalent circuit for analysis on one-half cycle basis

    Diode-Bridge Rectifier: Waveforms

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-23

    • Analysis using MATLAB

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    Line-Voltage Distortion

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-26

    • PCC is the point of common coupling

    Line-Voltage Distortion

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-27

    • Distortion in voltage supplied to other loads

    Voltage Doubler Rectifier 

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-28

    • In 115-V position, one capacitor at-a-time is charged from the

    input.

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    Current in A Three-Phase, Four-Wire

    System

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-30

    • The current in the neutral wire can be very high

    Three-Phase, Full-Bridge Rectifier 

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-31

    • Commonly used

    Three-Phase, Full-Bridge Rectifier: Redrawn

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-32

    • Two groups with three diodes each

    Three-Phase, Full-Bridge Rectifier Waveforms

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-33

    • Output current is

    assumed to be dc

    Three-Phase, Full-Bridge Rectifier: Input

    Line-Current

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-34

    • Assuming output current to be purely dc and zero ac-side

    inductance

    Three-Phase, Full-Bridge Rectifier 

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-35

    • Including the ac-side inductance

    3-Phase Rectifier: Current Commutation

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-36

    • output

    current is

    assumed to bepurely dc

    Rectifier with a Large Filter Capacitor 

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-37

    • Output voltage is assumed to be purely dc

    Three-Phase, Full-Bridge Rectifier 

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-38

    • THD, PF and DPF as functions of load current

    Crest Factor versus the Current Loading

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-39

    • The Crest Factor is very high at low values of current

    Three-Phase Rectifier Waveforms

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    Chapter 5 Line-Frequency DiodeRectifiers

    5-40

    • PSpice-based analysis

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    Primitive circuits

    with thyristors

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    Chapter 6 Thyristor Converters 6-3

    Thyristor Triggering

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    Chapter 6 Thyristor Converters 6-4

    • ICs available

    Full-Bridge Thyristor Converters

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    Chapter 6 Thyristor Converters 6-5

    • Single-phase and three-phase

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    1-Phase Thyristor Converter Waveforms

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    Chapter 6 Thyristor Converters 6-7

    • Assuming zero ac-side inductance

     Average DC Output Voltage

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    Chapter 6 Thyristor Converters 6-8

    • Assuming zero ac-side inductance

    Input Line-Current Waveforms

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    Chapter 6 Thyristor Converters 6-9

    • Harmonics, power and reactive power 

    1-Phase Thyristor Converter 

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    Chapter 6 Thyristor Converters 6-10

    • Finite ac-side inductance; constant dc output

    current

    Thyristor Converter Waveforms

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    Chapter 6 Thyristor Converters 6-11

    • Finite ac-side inductance

    Thyristor Converter: Discontinuous Mode

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    Chapter 6 Thyristor Converters 6-12

    • This mode can occur in a dc-drive at light loads

    Thyristor Converter Waveforms

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    Chapter 6 Thyristor Converters 6-13

    • PSpice-based simulation

    Thyristor Converter Waveforms:

    Discontinuous Conduction Mode

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    Chapter 6 Thyristor Converters 6-14

    • PSpice-based simulation

    DC Voltage versus Load Current

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    Chapter 6 Thyristor Converters 6-15

    • Various values of delay angle

    Thyristor Converters: Inverter Mode

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    Chapter 6 Thyristor Converters 6-16

    • Assuming the ac-side inductance to be zero

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    Thyristor Converters: Inverter Mode

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    Chapter 6 Thyristor Converters 6-19

    • Waveforms at start-up

    3-Phase Thyristor Converters

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    Chapter 6 Thyristor Converters 6-20

    • Two groups of three thyristors each

    3-Phase Thyristor Converter Waveforms

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    Chapter 6 Thyristor Converters 6-21

    • Zero ac-side inductance; purely dc current

    DC-side voltage

    waveforms

    assuming zero ac-

    side inductance

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    Chapter 6 Thyristor Converters 6-22

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    Input line-current

    waveforms

    assuming zero ac-

    side inductance

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    Chapter 6 Thyristor Converters 6-24

    Three-Phase Thyristor Converter 

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    Chapter 6 Thyristor Converters 6-25

    • AC-side inductance is included

    Current Commutation Waveforms

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    Chapter 6 Thyristor Converters 6-26

    • Constant dc-side current

    Input Line-Current Waveform

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    Chapter 6 Thyristor Converters 6-27

    • Finite ac-side inductance

    Input Line-Current Harmonics

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    Chapter 6 Thyristor Converters 6-28

    • Finite ac-side inductance

    Input Line-Current Harmonics

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    Chapter 6 Thyristor Converters 6-29

    • Typical and idealized

    Three-Phase Thyristor Converter 

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    Chapter 6 Thyristor Converters 6-30

    • Realistic load

    Thyristor Converter Waveforms

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    Chapter 6 Thyristor Converters 6-31

    • Realistic load; continuous-conduction mode

    Thyristor Converter Waveforms

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    Chapter 6 Thyristor Converters 6-32

    • Realistic load; discontinuous-conduction mode

    Thyristor Inverter 

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    Chapter 6 Thyristor Converters 6-33

    • Constant dc current

    Thyristor Inverter Waveforms

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    Chapter 6 Thyristor Converters 6-34

    • Finite ac-side inductance

    Thyristor Inverter 

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    Chapter 6 Thyristor Converters 6-35

    • Family of curves at various values of delay angle

    Thyristor Inverter Operation

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    Chapter 6 Thyristor Converters 6-36

    • Importance of extinction angle

    Thyristor Converters: Voltage Notching

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    Chapter 6 Thyristor Converters 6-37

    • Importance of external ac-side inductance

    Limits on Notching and Distortion

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    Chapter 6 Thyristor Converters 6-38

    • Guidelines

    Thyristor Converter Representation

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    Chapter 6 Thyristor Converters 6-39

    • Functional block diagram

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    Block Diagram of DC-DC Converters

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    Chapter 7 DC-DC Switch-ModeConverters

    7-2

    • Functional block diagram

    Stepping Down a DC Voltage

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    Chapter 7 DC-DC Switch-ModeConverters

    7-3

    • A simple approach that shows the evolution

    Pulse-Width Modulation inDC-DC Converters

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    Chapter 7 DC-DC Switch-ModeConverters

    7-4

    • Role of PWM

    Step-Down DC-DC Converter 

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    Chapter 7 DC-DC Switch-ModeConverters

    7-5

    • Pulsating input to

    the low-pass filter 

    Step-Down DC-DC Converter: Waveforms

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    Chapter 7 DC-DC Switch-ModeConverters

    7-6

    • Steady state; inductor current flows continuously

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    Step-Down DC-DC Converter:Discontinuous Conduction Mode

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    Chapter 7 DC-DC Switch-ModeConverters

    7-8

    • Steady state; inductor current discontinuous

    Step-Down DC-DC Converter: Limits of

    Cont./Discont. Conduction

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    Chapter 7 DC-DC Switch-ModeConverters

    7-9

    • The duty-ratio of 0.5 has the highest value of the

    critical current

    Step-Down DC-DC Converter: Limits of

    Cont./Discont. Conduction

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    Chapter 7 DC-DC Switch-ModeConverters

    7-10

    • Output voltage is kept constant

    Step-Down Conv.: Output Voltage Ripple

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    Chapter 7 DC-DC Switch-ModeConverters

    7-11

    • ESR is assumed to be zero

    Step-Up DC-DC Converter 

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    Chapter 7 DC-DC Switch-ModeConverters

    7-12

    • Output voltage must be greater than the input

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    Step-Up DC-DC Converter: Limits of

    Cont./Discont. Conduction

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    Chapter 7 DC-DC Switch-ModeConverters

    7-14

    • The output voltage is held constant

    Step-Up DC-DC Converter: Discont.

    Conduction

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    Chapter 7 DC-DC Switch-ModeConverters

    7-15

    • Occurs at light loads

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    Step-Up DC-DC Converter: Effect of

    Parasitics

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    Chapter 7 DC-DC Switch-ModeConverters

    7-17

    • The duty-ratio is generally limited before theparasitic effects become significant

    Step-Up DC-DC Converter Output Ripple

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    Chapter 7 DC-DC Switch-ModeConverters

    7-18

    • ESR is assumed to be zero

    Step-Down/Up DC-DC Converter 

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    Chapter 7 DC-DC Switch-ModeConverters

    7-19

    • The output voltage can be higher or lower thanthe input voltage

    Step-Up DC-DC Converter: Waveforms

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    Chapter 7 DC-DC Switch-ModeConverters

    7-20

    • Continuation conduction mode

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    Step-Up DC-DC Converter:

    Discontinuous Conduction Mode

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    Chapter 7 DC-DC Switch-ModeConverters

    7-22

    • This occurs at light loads

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    Step-Up DC-DC Converter: Effect of

    Parasitics

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    Chapter 7 DC-DC Switch-ModeConverters

    7-24

    • The duty-ratio is limited to avoid these parasiticeffects from becoming significant

    Step-Up DC-DC Converter:Output Voltage Ripple

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    Chapter 7 DC-DC Switch-ModeConverters

    7-25

    • ESR is assumed to be zero

    Cuk DC-DC Converter 

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    Chapter 7 DC-DC Switch-ModeConverters

    7-26

    • The output voltage can be higher or lower than

    the input voltage

    Cuk DC-DC Converter: Waveforms

    • The capacitor

    voltage is assumed

    constant

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    Chapter 7 DC-DC Switch-ModeConverters

    7-27

    Converter for DC-Motor Drives

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    Chapter 7 DC-DC Switch-ModeConverters

    7-28

    • Four quadrant operation is possible

    Converter Waveforms

    • Bi-polar voltage switching

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    Chapter 7 DC-DC Switch-ModeConverters

    7-29

    Converter Waveforms

    • Uni polar voltage switching

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    Chapter 7 DC-DC Switch-ModeConverters

    7-30

    • Uni-polar voltage switching

    Output Ripple in Converters for DC-MotorDrives

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    Chapter 7 DC-DC Switch-ModeConverters

    7-31

    • bi-polar and uni-polar voltage switching

    Switch Utilization in DC-DC Converters

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    Chapter 7 DC-DC Switch-ModeConverters

    7-32

    • It varies significantly in various converters

    Equivalent Circuits in DC-DC Converters

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    Chapter 7 DC-DC Switch-ModeConverters

    7-33

    • replacing inductors and capacitors by current

    and voltage sources, respectively

    Reversing the Power Flow in DC-DC Conv.

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    Chapter 7 DC-DC Switch-ModeConverters

    7-34

    • For power flow from right to left, the input

    current direction should also reverse

    Chapter 8

    Switch-Mode DC-AC Inverters

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-1

    • converters for ac motor drives anduninterruptible power supplies

    Switch-Mode DC-AC Inverter 

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-2

    • Block diagram of a motor drive where the powerflow is unidirectional

    Switch-Mode DC-AC Inverter 

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-3

    • Block diagram of a motor drive where the powerflow can be bi-directional

    Switch-Mode DC-AC Inverter 

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-4

    • Four quadrants of operation

    One Leg of a Switch-Mode DC-AC Inverter 

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-5

    • The mid-point shown is fictitious

    Synthesis of a Sinusoidal Output by PWM

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-6

    Details of a Switching Time Period

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-7

    • Control voltage can be assumed constant duringa switching time-period

    Harmonics in the DC-AC Inverter OutputVoltage

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-8

    • Harmonics appear around the carrier frequency

    and its multiples

    Harmonics due to Over-modulation

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-9

    • These are harmonics of the fundamental

    frequency

    Output voltage Fundamental as a Functionof the Modulation Index

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-10

    • Shows the linear and the over-modulationregions; square-wave operation in the limit

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    Half-Bridge Inverter 

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-12

    • Capacitors provide the mid-point

    Single-Phase Full-Bridge DC-AC Inverter 

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-13

    • Consists of two inverter legs

    PWM to Synthesize Sinusoidal Output

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-14

    • The dotted curve is the desired output; also the

    fundamental frequency

     Analysis assuming Fictitious Filters

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-15

    • Small fictitious filters eliminate the switching-

    frequency related ripple

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    Output Waveforms:Uni-polar Voltage

    Switching

    • Harmoniccomponents around

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-17

    components around

    the switching

    frequency are absent

    DC-Side Current in a Single-Phase Inverter 

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-18

    • Uni-polar voltage switching

    Sinusoidal Synthesis by Voltage Shift

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-19

    • Phase shift allows voltage cancellation tosynthesize a 1-Phase sinusoidal output

    Single-Phase Inverter 

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-20

    • Analysis at the fundamental frequency

    Square-Wave and PWM Operation

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-21

    • PWM results in much smaller ripple current

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    Three-Phase Inverter 

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-23

    • Three inverter legs; capacitor mid-point isfictitious

    Three-Phase

    PWM

    Waveforms

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-24

    Three-Phase Inverter Harmonics

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-25

    Three-Phase Inverter Output

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-26

    • Linear and over-modulation ranges

    Three-Phase Inverter: Square-Wave Mode

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-27

    • Harmonics are of the fundamental frequency

    Three-Phase Inverter: FundamentalFrequency

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-28

    • Analysis at the fundamental frequency can bedone using phasors

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    DC-Side Current in a Three-Phase Inverter 

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-30

    • The current consists of a dc component and the

    switching-frequency related harmonics

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    PWM Operation

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-32

    • devices conducting are indicated

    Short-Circuit States in PWM Operation

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-33

    • top group or the bottom group results in short

    circuiting three terminals

    Effect of BlankingTime

    • Results in

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-34

    Results in

    nonlinearity

    Effect of Blanking Time

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-35

    • Voltage jump when the current reverses direction

    Effect of Blanking Time

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-36

    • Effect on the output voltage

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    Tolerance-Band Current Control

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-38

    • Results in a variable frequency operation

    Fixed-Frequency Operation

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-39

    • Better control is possible using dq analysis

    Transition from Inverter to Rectifier Mode

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-40

    • Can analyze based on the fundamental-

    frequency components

    Summary of DC-AC Inverters

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    Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

    8-41

    • Functional representation in a block-diagram form

    Chapter 9Zero-Voltage or Zero-Current Switchings

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    Chapter 9 Resonant Converters 9-1

    • converters for soft switching

    One Inverter Leg

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    Chapter 9 Resonant Converters 9-2

    • The output current can be positive or negative

    Hard Switching Waveforms

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    Chapter 9 Resonant Converters 9-3

    • The output current can be positive or negative

    Turn-on and Turn-off Snubbers

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    Chapter 9 Resonant Converters 9-4

    • Turn-off snubbers are used

    Switching Trajectories

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    Chapter 9 Resonant Converters 9-5

    • Comparison of Hard versus soft switching

    Undamped Series-Resonant Circuit

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    Chapter 9 Resonant Converters 9-6

    • The waveforms shown include initial conditions

    Series-Resonant Circuit withCapacitor-Parallel Load

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    Chapter 9 Resonant Converters 9-7

    • The waveforms shown include initial conditions

    Impedance of a Series-Resonant Circuit

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    Chapter 9 Resonant Converters 9-8

    • The impedance is capacitive below theresonance frequency

    Undamped Parallel-Resonant Circuit

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    Chapter 9 Resonant Converters 9-9

    • Excited by a current source

    Impedance of a Parallel-Resonant Circuit

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    Chapter 9 Resonant Converters 9-10

    • The impedance is inductive at below the

    resonant frequency

    Series Load Resonant (SLR) Converter

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    Chapter 9 Resonant Converters 9-11

    • The transformer is ignored in this equivalentcircuit

    SLR Converter Waveforms

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    Chapter 9 Resonant Converters 9-12

    • The operating frequency is below one-half theresonance frequency

    SLR Converter Waveforms

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    Chapter 9 Resonant Converters 9-13

    • The operating frequency is in between one-half theresonance frequency and the resonance frequency

    SLR Converter Waveforms

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    Chapter 9 Resonant Converters 9-14

    • The operating frequency is above the resonancefrequency

    Lossless Snubbers in SLR Converters

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    Chapter 9 Resonant Converters 9-15

    • The operating frequency is above the resonancefrequency

    SLR Converter Characteristics

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    Chapter 9 Resonant Converters 9-16

    • Output Current as a function of operatingfrequency for various values of the output voltage

    SLR Converter Control

    • The operating frequency is varied to regulate

    the output voltage

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    Chapter 9 Resonant Converters 9-17

    Parallel Load Resonant (PLR) Converter 

    • The transformer is ignored in this equivalent

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    Chapter 9 Resonant Converters 9-18

    • The transformer is ignored in this equivalent

    circuit

    PLR Converter Waveforms

    • The current is in a discontinuous conduction

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    Chapter 9 Resonant Converters 9-19

    • The current is in a discontinuous conduction

    mode

    PLR Converter Waveforms

    Th ti f i b l th

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    Chapter 9 Resonant Converters 9-20

    • The operating frequency is below the resonance

    frequency

    PLR Converter Waveforms

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    Chapter 9 Resonant Converters 9-21

    • The operating frequency is above the resonancefrequency

    PLR Converter Characteristics

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    Chapter 9 Resonant Converters 9-22

    • Output voltage as a function of operatingfrequency for various values of the output current

    Hybrid-Resonant DC-DC Converter 

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    Chapter 9 Resonant Converters 9-23

    • Combination of series and parallel resonance

    Parallel-Resonant Current-Source Converter 

    • Basic circuit to illustrate the operating principle

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    Chapter 9 Resonant Converters 9-24

    at the fundamental frequency

    Parallel-Resonant Current-Source Converter 

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    Chapter 9 Resonant Converters 9-25

    • Using thyristors; for induction heating

    Class-E Converters

    Optimum mode

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    Chapter 9 Resonant Converters 9-26

    Class-E Converters

    Non-Optimum

    mode

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    Chapter 9 Resonant Converters 9-27

    Resonant Switch Converters

    Classifications

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    Chapter 9 Resonant Converters 9-28

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    ZCS Resonant-Switch Converter 

    • Waveforms; voltage is regulated by varying the

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    Chapter 9 Resonant Converters 9-30

    switching frequency

    ZCS Resonant-Switch Converter 

    • A practical circuit

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    Chapter 9 Resonant Converters 9-31

    ZVS Resonant-Switch Converter 

    • Serious limitations

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    Chapter 9 Resonant Converters 9-32

    ZVS Resonant-Switch Converter 

    • Waveforms

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    Chapter 9 Resonant Converters 9-33

    MOSFET Internal Capacitances

    • These capacitances affect the MOSFET switching

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    Chapter 9 Resonant Converters 9-34

    ZVS-CV DC-DC Converter 

    Th i d t t t di ti

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    Chapter 9 Resonant Converters 9-35

    • The inductor current must reverse directionduring each switching cycle

    ZVS-CV DC-DC Converter 

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    Chapter 9 Resonant Converters 9-36

    • One transition is shown

    ZVS-CV Principle Applied to DC-AC Inverters

    • Very large ripple in the output current

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    Chapter 9 Resonant Converters 9-37

    Three-Phase ZVS-CV DC-AC Inverter 

    • Very large ripple in the output current

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    Chapter 9 Resonant Converters 9-38

    Output Regulation by Voltage Control

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    Chapter 9 Resonant Converters 9-39

    • Each pole operates at nearly 50% duty-ratio

    ZVS-CV with Voltage Cancellation

    • Commonly used

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    Chapter 9 Resonant Converters 9-40

    Resonant DC-Link Inverter 

    • The dc-link voltageis made to oscillate

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    Chapter 9 Resonant Converters 9-41

    Three-Phase Resonant DC-Link Inverter 

    • Modifications have been proposed

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    Chapter 9 Resonant Converters 9-42

    High-Frequency-Link Inverter 

    • Basic principle for selecting integral half-cycles of the

    high-frequency ac input

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    Chapter 9 Resonant Converters 9-43

    high frequency ac input

    High-Frequency-Link Inverter 

    • Low-frequency ac output is synthesized by selecting

    integral half-cycles of the high-frequency ac input

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    Chapter 9 Resonant Converters 9-44

    integral half cycles of the high frequency ac input

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    Chapter 10

    Switching DC Power Supplies

    • One of the most important applications of power

    electronics

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    Chapter 10 SwitchingDC Power Supplies

    10-1

    e ect o cs

    Linear Power Supplies

    • Very poor efficiency and large weight and size

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    Chapter 10 SwitchingDC Power Supplies

    10-2

    y p y g g

    Switching DC Power Supply: Block Diagram

    • High efficiency and small weight and size

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    Chapter 10 SwitchingDC Power Supplies

    10-3

    g y g

    Switching DC Power Supply: Multiple

    Outputs

    • In most applications, several dc voltages arerequired possibly electrically isolated from each other

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    Chapter 10 SwitchingDC Power Supplies

    10-4

    pp grequired, possibly electrically isolated from each other 

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    PWM to Regulate Output

    • Basic principle is the same as discussed in Chapter 8

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    Chapter 10 SwitchingDC Power Supplies

    10-6

    Flyback Converter 

    • Derived from buck-boost; very power at small power

    (> 50 W ) power levels

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    Chapter 10 SwitchingDC Power Supplies

    10-7

    Flyback Converter 

    • Switch on and off states (assuming incomplete core

    demagnetization)

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    Chapter 10 SwitchingDC Power Supplies

    10-8

    Flyback Converter 

    • Switching waveforms (assuming incomplete coredemagnetization)

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    Chapter 10 SwitchingDC Power Supplies

    10-9

    g )

    Other Flyback Converter Topologies

    • Not commonly used

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    Chapter 10 SwitchingDC Power Supplies

    10-10

    C i ht © 2003

    Forward Converter 

    • Derived from Buck; idealized to assume that the

    transformer is ideal (not possible in practice)

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    Chapter 10 SwitchingDC Power Supplies

    10-11

    C i ht © 2003 Ch t 10 S it hi

    Forward Converter:

    in Practice

    • Switching waveforms (assuming

    incomplete core demagnetization)

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    Chapter 10 SwitchingDC Power Supplies

    10-12

    Copyright © 2003 Ch t 10 S it hi

    Forward Converter: Other Possible Topologies

    • Two-switch Forward converter is very commonly used

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    Chapter 10 SwitchingDC Power Supplies

    10-13

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    Copyright © 2003 Chapter 10 Switching 10 15

    Half-Bridge Converter 

    • Derived from Buck

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    Chapter 10 SwitchingDC Power Supplies

    10-15

    Copyright © 2003 Chapter 10 Switching 10 16

    Full-Bridge Converter 

    • Used at higher power levels (> 0.5kW

    )

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    Chapter 10 SwitchingDC Power Supplies

    10-16

    Copyright © 2003 Chapter 10 Switching 10 17

    Current-Source Converter 

    • More rugged (no shoot-through) but both switches

    must not be open simultaneously

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    py gby John Wiley & Sons, Inc.

    Chapter 10 SwitchingDC Power Supplies

    10-17

    Copyright © 2003 Chapter 10 Switching 10 18

    Ferrite Core Material

    • Several materials to choose from based on applications

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    y gby John Wiley & Sons, Inc.

    p gDC Power Supplies

    10-18

    Copyright © 2003 Chapter 10 Switching 10-19

    Core Utilization in Various Converter

    Topologies

    • At high switching frequencies, core losses limitexcursion of flux density

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    by John Wiley & Sons, Inc. DC Power Supplies10 19

    Copyright © 2003b J h Wil & S I

    Chapter 10 Switching 10-20

    Control to Regulate Voltage Output

    • Linearized representation of the feedback controlsystem

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    by John Wiley & Sons, Inc. DC Power Supplies10 20

    Copyright © 2003b J h Wil & S I

    Chapter 10 SwitchingDC P S li

    10-21

    Forward Converter: An Example

    • The switch and the diode are assumed to be ideal

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    by John Wiley & Sons, Inc. DC Power Supplies

    Copyright © 2003by John Wiley & Sons Inc

    Chapter 10 SwitchingDC P S li

    10-22

    Forward Converter:Transfer Function Plots

    • Example

    considered earlier 

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    by John Wiley & Sons, Inc. DC Power Supplies

    Copyright © 2003by John Wiley & Sons Inc

    Chapter 10 SwitchingDC Power Supplies

    10-23

    Flyback Converter:Transfer Function Plots

    • An example

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    by John Wiley & Sons, Inc. DC Power Supplies

    Copyright © 2003by John Wiley & Sons Inc

    Chapter 10 SwitchingDC Power Supplies

    10-24

    Linearizing the PWM Block

    • The transfer function is essentially a constant with

    zero phase shift

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    by John Wiley & Sons, Inc. DC Power Supplies

    Copyright © 2003by John Wiley & Sons, Inc.

    Chapter 10 SwitchingDC Power Supplies

    10-25

    Gain of the PWM IC

    • It is slope of the characteristic

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    Chapter 10 SwitchingDC Power Supplies

    10-27

     A General Amplifier for Error Compensation

    • Can be implemented using a single op-amp

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    y y pp

    Copyright © 2003by John Wiley & Sons, Inc.

    Chapter 10 SwitchingDC Power Supplies

    10-28

    Type-2 Error Amplifier 

    • Shows phase boost at the crossover frequency

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    Chapter 10 SwitchingDC Power Supplies

    10-29

    Voltage Feed-Forward

    • Makes converter immune from input voltage

    variations

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    Chapter 10 SwitchingDC Power Supplies

    10-30

    Voltage versus Current Mode Control

    • Regulating the output voltage is the objective in both

    modes of control

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    Chapter 10 SwitchingDC Power Supplies

    10-32

    Peak Current Mode Control

    • Slope compensation is needed

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    Chapter 10 SwitchingDC Power Supplies

    10-33

     A Typical PWM Control IC

    • Many safety control

    functions are built in

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    Chapter 10 SwitchingDC Power Supplies

    10-34

    Current Limiting

    • Two options are shown

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    Chapter 10 SwitchingDC Power Supplies

    10-35

    Implementing

    ElectricalIsolation in the

    Feedback Loop

    • Two ways are shown

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