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Copyright © 2003 by John Wiley & Sons, Inc. Chapter 2 Power Semiconductor Switches: An Overview 2-1 Chapter 2 Overview of Power Semiconductor Devices

Power Electronic Overview

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Page 1: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 2 Power Semiconductor Switches: An Overview

2-1

Chapter 2 Overview of Power Semiconductor Devices

Page 2: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 2 Power Semiconductor Switches: An Overview

2-2

Diodes

• On and off states controlled by the power circuit

Page 3: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 2 Power Semiconductor Switches: An Overview

2-3

Diode Turn-Off

• Fast-recovery diodes have a small reverse-recovery time

Page 4: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 2 Power Semiconductor Switches: An Overview

2-4

Thyristors

• Semi-controlled device• Latches ON by a gate-current pulse if forward biased• Turns-off if current tries to reverse

Page 5: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 2 Power Semiconductor Switches: An Overview

2-5

Thyristor in a Simple Circuit

• For successful turn-off, reverse voltage required for an interval greater than the turn-off interval

Page 6: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 2 Power Semiconductor Switches: 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

Page 7: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 2 Power Semiconductor Switches: An Overview

2-7

Switching Characteristics (linearized)

Switching Power Loss is proportional to:• switching frequency• turn-on and turn-off times

Page 8: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 2 Power Semiconductor Switches: An Overview

2-8

Bipolar Junction Transistors (BJT)

• Used commonly in the past• Now used in specific applications• Replaced by MOSFETs and IGBTs

Page 9: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 2 Power Semiconductor Switches: An Overview

2-9

Various Configurations of BJTs

Page 10: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 2 Power Semiconductor Switches: 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

Page 11: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 2 Power Semiconductor Switches: An Overview

2-11

Gate-Turn-Off Thyristors (GTO)

• Slow switching speeds

• Used at very high power levels

• Require elaborate gate control circuitry

Page 12: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 2 Power Semiconductor Switches: An Overview

2-12

GTO Turn-Off

• Need a turn-off snubber

Page 13: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 2 Power Semiconductor Switches: An Overview

2-13

IGBT

Page 14: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 2 Power Semiconductor Switches: An Overview

2-14

MCT

Page 15: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 2 Power Semiconductor Switches: An Overview

2-15

Comparison of Controllable Switches

Page 16: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 2 Power Semiconductor Switches: An Overview

2-16

Summary of Device Capabilities

Page 17: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-1

Chapter 3

Review of Basic Electrical and Magnetic Circuit Concepts

Page 18: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-2

Symbols and Conventions

• Symbols

• Polarity of Voltages; Direction of Currents

• MKS SI units

Page 19: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-3

Sinusoidal Steady State

Page 20: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-4

Three-Phase Circuit

Page 21: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-5

Steady State in Power Electronics

Page 22: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-6

Fourier Analysis

Page 23: Power Electronic Overview

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

Page 24: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-8

Phasor Representation

Page 25: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-9

Response of L and C

Page 26: Power Electronic Overview

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.

Page 27: Power Electronic Overview

Copyright © 2003 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.

Page 28: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-12

Ampere’s Law

• Direction of magnetic field due to currents

• Ampere’s Law: Magnetic field along a path

Page 29: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-13

Direction of Magnetic Field

Page 30: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-14

B-H Relationship; Saturation

• Definition of permeability

Page 31: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-15

Continuity of Flux Lines

1 2 3 0φ φ φ+ + =

Page 32: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-16

Concept of Magnetic Reluctance

• Flux is related to ampere-turns by reluctance

Page 33: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-17

Analogy between Electrical and Magnetic Variables

Page 34: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-18

Analogy between Equations in Electrical and Magnetic Circuits

Page 35: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-19

Magnetic Circuit and its Electrical Analog

Page 36: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-20

Faraday’s Law and Lenz’s Law

Page 37: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-21

Inductance L

• Inductance relates flux-linkage to current

Page 38: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-22

Analysis of a Transformer

Page 39: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-23

Transformer Equivalent Circuit

Page 40: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-24

Including the Core Losses

Page 41: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 3 Basic Electrical and Magnetic Circuit Concepts

3-25

Transformer Core Characteristic

Page 42: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-1

Chapter 5

Diode Rectifiers

Page 43: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-2

Diode Rectifier Block Diagram

• Uncontrolled utility interface (ac to dc)

Page 44: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-3

A Simple Circuit

• Resistive load

Page 45: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-4

A Simple Circuit (R-L Load)

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

Page 46: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-5

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

• 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

Page 47: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-6

Single-Phase Diode Rectifier Bridge

• Large capacitor at the dc output for filtering and energy storage

Page 48: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-7

Diode-Rectifier Bridge Analysis

• Two simple (idealized) cases to begin with

Page 49: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-8

Redrawing Diode-Rectifier Bridge

• Two groups, each with two diodes

Page 50: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-9

Waveforms with a purely resistive load and a purely dc current at the output

• In both cases, the dc-side voltage waveform is the same

Page 51: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-10

Diode-Rectifier Bridge Input Current

• Idealized case with a purely dc output current

Page 52: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-11

Diode-Rectifier Bridge Analysis with AC-Side Inductance

• Output current is assumed to be purely dc

Page 53: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-12

Understanding Current Commutation

• Assuming inductance in this circuit to be zero

Page 54: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-13

Understanding Current Commutation (cont.)

• Inductance in this circuit is included

Page 55: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-14

Current Commutation Waveforms

• Shows the volt-seconds needed to commutate current

Page 56: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-15

Current Commutation in Full-Bridge Rectifier

• Shows the necessary volt-seconds

Page 57: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-16

Understanding Current Commutation

• Note the current loops for analysis

Page 58: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-17

Rectifier with a dc-side voltage

Page 59: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-18

DC-Side Voltage and Current Relationship

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

Page 60: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-19

Effect of DC-Side Current on THD, PF and DPF

• Very high THD at low current values

Page 61: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-20

Crest Factor versus the Current Loading

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

Page 62: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-21

Diode-Rectifier with a Capacitor Filter

• Power electronics load is represented by an equivalent load resistance

Page 63: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-22

Diode Rectifier Bridge

• Equivalent circuit for analysis on one-half cycle basis

Page 64: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-23

Diode-Bridge Rectifier: Waveforms

• Analysis using MATLAB

Page 65: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-24

Diode-Bridge Rectifier: Waveforms

• Analysis using PSpice

Page 66: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-25

• Analysis using PSpice

Input Line-Current Distortion

Page 67: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-26

Line-Voltage Distortion

• PCC is the point of common coupling

Page 68: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-27

• Distortion in voltage supplied to other loads

Line-Voltage Distortion

Page 69: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-28

Voltage Doubler Rectifier

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

Page 70: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-29

A Three-Phase, Four-Wire System

• A common neutral wire is assumed

Page 71: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-30

Current in A Three-Phase, Four-Wire System

• The current in the neutral wire can be very high

Page 72: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-31

Three-Phase, Full-Bridge Rectifier

• Commonly used

Page 73: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-32

Three-Phase, Full-Bridge Rectifier: Redrawn

• Two groups with three diodes each

Page 74: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-33

Three-Phase, Full-Bridge Rectifier Waveforms

• Output current is

assumed to be dc

Page 75: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-34

Three-Phase, Full-Bridge Rectifier: Input Line-Current

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

Page 76: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-35

Three-Phase, Full-Bridge Rectifier

• Including the ac-side inductance

Page 77: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-36

3-Phase Rectifier: Current Commutation

• output current is assumed to be purely dc

Page 78: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-37

Rectifier with a Large Filter Capacitor

• Output voltage is assumed to be purely dc

Page 79: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-38

Three-Phase, Full-Bridge Rectifier

• THD, PF and DPF as functions of load current

Page 80: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-39

Crest Factor versus the Current Loading

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

Page 81: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 5 Line-Frequency Diode Rectifiers

5-40

Three-Phase Rectifier Waveforms

• PSpice-based analysis

Page 82: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-1

Chapter 6

Thyristor Converters

• Controlled conversion of ac into dc

Page 83: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-2

Thyristor Converters

• Two-quadrant conversion

Page 84: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-3

Primitive circuits with thyristors

Page 85: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-4

Thyristor Triggering

• ICs available

Page 86: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-5

Full-Bridge Thyristor Converters

• Single-phase and three-phase

Page 87: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-6

Single-Phase Thyristor Converters

• Two groups with two thyristor each

Page 88: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-7

1-Phase Thyristor Converter Waveforms

• Assuming zero ac-side inductance

Page 89: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-8

Average DC Output Voltage

• Assuming zero ac-side inductance

Page 90: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-9

Input Line-Current Waveforms

• Harmonics, power and reactive power

Page 91: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-10

1-Phase Thyristor Converter

• Finite ac-side inductance; constant dc output current

Page 92: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-11

Thyristor Converter Waveforms

• Finite ac-side inductance

Page 93: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-12

Thyristor Converter: Discontinuous Mode

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

Page 94: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-13

Thyristor Converter Waveforms

• PSpice-based simulation

Page 95: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-14

Thyristor Converter Waveforms: Discontinuous Conduction Mode

• PSpice-based simulation

Page 96: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-15

DC Voltage versus Load Current

• Various values of delay angle

Page 97: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-16

Thyristor Converters: Inverter Mode

• Assuming the ac-side inductance to be zero

Page 98: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-17

Thyristor Converters: Inverter Mode

• Family of curves at various values of delay angle

Page 99: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-18

Thyristor Converters: Inverter Mode

• Importance of extinction angle in inverter mode

Page 100: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-19

Thyristor Converters: Inverter Mode

• Waveforms at start-up

Page 101: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-20

3-Phase Thyristor Converters

• Two groups of three thyristors each

Page 102: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-21

3-Phase Thyristor Converter Waveforms

• Zero ac-side inductance; purely dc current

Page 103: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-22

DC-side voltage waveforms assuming zero ac-side inductance

Page 104: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-23

Input Line-Current Waveform

• Zero ac-side inductance

Page 105: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-24

Input line-current waveforms assuming zero ac-side inductance

Page 106: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-25

Three-Phase Thyristor Converter

• AC-side inductance is included

Page 107: Power Electronic Overview

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Chapter 6 Thyristor Converters 6-26

Current Commutation Waveforms

• Constant dc-side current

Page 108: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-27

Input Line-Current Waveform

• Finite ac-side inductance

Page 109: Power Electronic Overview

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Chapter 6 Thyristor Converters 6-28

Input Line-Current Harmonics

• Finite ac-side inductance

Page 110: Power Electronic Overview

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Chapter 6 Thyristor Converters 6-29

Input Line-Current Harmonics

• Typical and idealized

Page 111: Power Electronic Overview

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Chapter 6 Thyristor Converters 6-30

Three-Phase Thyristor Converter

• Realistic load

Page 112: Power Electronic Overview

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Chapter 6 Thyristor Converters 6-31

Thyristor Converter Waveforms

• Realistic load; continuous-conduction mode

Page 113: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 6 Thyristor Converters 6-32

Thyristor Converter Waveforms

• Realistic load; discontinuous-conduction mode

Page 114: Power Electronic Overview

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Chapter 6 Thyristor Converters 6-33

Thyristor Inverter

• Constant dc current

Page 115: Power Electronic Overview

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Chapter 6 Thyristor Converters 6-34

Thyristor Inverter Waveforms

• Finite ac-side inductance

Page 116: Power Electronic Overview

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Chapter 6 Thyristor Converters 6-35

Thyristor Inverter

• Family of curves at various values of delay angle

Page 117: Power Electronic Overview

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Chapter 6 Thyristor Converters 6-36

Thyristor Inverter Operation

• Importance of extinction angle

Page 118: Power Electronic Overview

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Chapter 6 Thyristor Converters 6-37

Thyristor Converters: Voltage Notching

• Importance of external ac-side inductance

Page 119: Power Electronic Overview

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Chapter 6 Thyristor Converters 6-38

Limits on Notching and Distortion

• Guidelines

Page 120: Power Electronic Overview

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Chapter 6 Thyristor Converters 6-39

Thyristor Converter Representation

• Functional block diagram

Page 121: Power Electronic Overview

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Chapter 7 DC-DC Switch-ModeConverters

7-1

Chapter 7

DC-DC Switch-Mode Converters

• dc-dc converters for switch-mode dc power supplies and dc-motor drives

Page 122: Power Electronic Overview

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Chapter 7 DC-DC Switch-ModeConverters

7-2

Block Diagram of DC-DC Converters

• Functional block diagram

Page 123: Power Electronic Overview

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Chapter 7 DC-DC Switch-ModeConverters

7-3

Stepping Down a DC Voltage

• A simple approach that shows the evolution

Page 124: Power Electronic Overview

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Chapter 7 DC-DC Switch-ModeConverters

7-4

Pulse-Width Modulation in DC-DC Converters

• Role of PWM

Page 125: Power Electronic Overview

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Chapter 7 DC-DC Switch-ModeConverters

7-5

Step-Down DC-DC Converter

• Pulsating input to the low-pass filter

Page 126: Power Electronic Overview

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Chapter 7 DC-DC Switch-ModeConverters

7-6

Step-Down DC-DC Converter: Waveforms

• Steady state; inductor current flows continuously

Page 127: Power Electronic Overview

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Chapter 7 DC-DC Switch-ModeConverters

7-7

Step-Down DC-DC Converter: Waveforms at the boundary of Cont./Discont. Conduction

• Critical current below which inductor current becomes discontinuous

Page 128: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-8

Step-Down DC-DC Converter: Discontinuous Conduction Mode

• Steady state; inductor current discontinuous

Page 129: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-9

Step-Down DC-DC Converter: Limits of Cont./Discont. Conduction

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

Page 130: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-10

Step-Down DC-DC Converter: Limits of Cont./Discont. Conduction

• Output voltage is kept constant

Page 131: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-11

Step-Down Conv.: Output Voltage Ripple

• ESR is assumed to be zero

Page 132: Power Electronic Overview

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Chapter 7 DC-DC Switch-ModeConverters

7-12

Step-Up DC-DC Converter

• Output voltage must be greater than the input

Page 133: Power Electronic Overview

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Chapter 7 DC-DC Switch-ModeConverters

7-13

Step-Up DC-DC Converter Waveforms

• Continuous current conduction mode

Page 134: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-14

Step-Up DC-DC Converter: Limits of Cont./Discont. Conduction

• The output voltage is held constant

Page 135: Power Electronic Overview

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Chapter 7 DC-DC Switch-ModeConverters

7-15

Step-Up DC-DC Converter: Discont. Conduction

• Occurs at light loads

Page 136: Power Electronic Overview

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Chapter 7 DC-DC Switch-ModeConverters

7-16

Step-Up DC-DC Converter: Limits of Cont./Discont. Conduction

• The output voltage is held constant

Page 137: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-17

Step-Up DC-DC Converter: Effect of Parasitics

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

Page 138: Power Electronic Overview

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Chapter 7 DC-DC Switch-ModeConverters

7-18

Step-Up DC-DC Converter Output Ripple

• ESR is assumed to be zero

Page 139: Power Electronic Overview

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Chapter 7 DC-DC Switch-ModeConverters

7-19

Step-Down/Up DC-DC Converter

• The output voltage can be higher or lower than the input voltage

Page 140: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-20

Step-Up DC-DC Converter: Waveforms

• Continuation conduction mode

Page 141: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-21

Step-Up DC-DC Converter: Limits of Cont./Discont. Conduction

• The output voltage is held constant

Page 142: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-22

Step-Up DC-DC Converter: Discontinuous Conduction Mode

• This occurs at light loads

Page 143: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-23

Step-Up DC-DC Converter: Limits of Cont./Discont. Conduction

• The output voltage is held constant

Page 144: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-24

Step-Up DC-DC Converter: Effect of Parasitics

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

Page 145: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-25

Step-Up DC-DC Converter: Output Voltage Ripple

• ESR is assumed to be zero

Page 146: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-26

Cuk DC-DC Converter

• The output voltage can be higher or lower than the input voltage

Page 147: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-27

Cuk DC-DC Converter: Waveforms

• The capacitor voltage is assumed constant

Page 148: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-28

Converter for DC-Motor Drives

• Four quadrant operation is possible

Page 149: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-29

Converter Waveforms

• Bi-polar voltage switching

Page 150: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-30

Converter Waveforms

• Uni-polar voltage switching

Page 151: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-31

Output Ripple in Converters for DC-Motor Drives

• bi-polar and uni-polar voltage switching

Page 152: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-32

Switch Utilization in DC-DC Converters

• It varies significantly in various converters

Page 153: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-33

Equivalent Circuits in DC-DC Converters

• replacing inductors and capacitors by current and voltage sources, respectively

Page 154: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 7 DC-DC Switch-ModeConverters

7-34

Reversing the Power Flow in DC-DC Conv.

• For power flow from right to left, the input current direction should also reverse

Page 155: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-1

Chapter 8

Switch-Mode DC-AC Inverters

• converters for ac motor drives and uninterruptible power supplies

Page 156: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-2

Switch-Mode DC-AC Inverter

• Block diagram of a motor drive where the power flow is unidirectional

Page 157: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-3

Switch-Mode DC-AC Inverter

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

Page 158: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-4

Switch-Mode DC-AC Inverter

• Four quadrants of operation

Page 159: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-5

One Leg of a Switch-Mode DC-AC Inverter

• The mid-point shown is fictitious

Page 160: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-6

Synthesis of a Sinusoidal Output by PWM

Page 161: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-7

Details of a Switching Time Period

• Control voltage can be assumed constant during a switching time-period

Page 162: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-8

Harmonics in the DC-AC Inverter Output Voltage

• Harmonics appear around the carrier frequency and its multiples

Page 163: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-9

Harmonics due to Over-modulation

• These are harmonics of the fundamental frequency

Page 164: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-10

Output voltage Fundamental as a Function of the Modulation Index

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

Page 165: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-11

Square-Wave Mode of Operation

• Harmonics are of the fundamental frequency

Page 166: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-12

Half-Bridge Inverter

• Capacitors provide the mid-point

Page 167: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-13

Single-Phase Full-Bridge DC-AC Inverter

• Consists of two inverter legs

Page 168: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-14

PWM to Synthesize Sinusoidal Output

• The dotted curve is the desired output; also the fundamental frequency

Page 169: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-15

Analysis assuming Fictitious Filters

• Small fictitious filters eliminate the switching-frequency related ripple

Page 170: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-16

DC-Side Current

• Bi-Polar Voltage switching

Page 171: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-17

Output Waveforms: Uni-polar Voltage

Switching

• Harmonic components around the switching frequency are absent

Page 172: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-18

DC-Side Current in a Single-Phase Inverter

• Uni-polar voltage switching

Page 173: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-19

Sinusoidal Synthesis by Voltage Shift

• Phase shift allows voltage cancellation to synthesize a 1-Phase sinusoidal output

Page 174: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-20

Single-Phase Inverter

• Analysis at the fundamental frequency

Page 175: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-21

Square-Wave and PWM Operation

• PWM results in much smaller ripple current

Page 176: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-22

Push-Pull Inverter

• Low Voltage to higher output using square-wave operation

Page 177: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-23

Three-Phase Inverter

• Three inverter legs; capacitor mid-point is fictitious

Page 178: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-24

Three-Phase PWM

Waveforms

Page 179: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-25

Three-Phase Inverter Harmonics

Page 180: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-26

Three-Phase Inverter Output

• Linear and over-modulation ranges

Page 181: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-27

Three-Phase Inverter: Square-Wave Mode

• Harmonics are of the fundamental frequency

Page 182: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-28

Three-Phase Inverter: Fundamental Frequency

• Analysis at the fundamental frequency can be done using phasors

Page 183: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-29

Square-Wave and PWM Operation

• PWM results in much smaller ripple current

Page 184: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-30

DC-Side Current in a Three-Phase Inverter

• The current consists of a dc component and the switching-frequency related harmonics

Page 185: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-31

Square-Wave Operation

• devices conducting are indicated

Page 186: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-32

PWM Operation

• devices conducting are indicated

Page 187: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-33

Short-Circuit States in PWM Operation

• top group or the bottom group results in short circuiting three terminals

Page 188: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-34

Effect of Blanking Time

• Results in nonlinearity

Page 189: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-35

Effect of Blanking Time

• Voltage jump when the current reverses direction

Page 190: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-36

Effect of Blanking Time

• Effect on the output voltage

Page 191: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-37

Programmed Harmonic Elimination

• Angles based on the desired output

Page 192: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-38

Tolerance-Band Current Control

• Results in a variable frequency operation

Page 193: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-39

Fixed-Frequency Operation

• Better control is possible using dq analysis

Page 194: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-40

Transition from Inverter to Rectifier Mode

• Can analyze based on the fundamental-frequency components

Page 195: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 8 Switch-Mode DC-Sinusoidal AC Inverters

8-41

Summary of DC-AC Inverters

• Functional representation in a block-diagram form

Page 196: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 12 Introduction toMotor Drives

12-1

Chapter 12

Introduction to Motor Drives

• Motor drives are one of the most important applications of power electronics

Page 197: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 12 Introduction toMotor Drives

12-2

Control Structure of Drives

• Very general description

Page 198: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 12 Introduction toMotor Drives

12-3

Servo Drives

• The basic structure is the same regardless of the drive that is selected

Page 199: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 12 Introduction toMotor Drives

12-4

An Example of Adjustable Speed Drives

• The speed of the drive response is not important here

Page 200: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 12 Introduction toMotor Drives

12-5

A Representation of the Load on a Drive

• This cycle may repeat continuously

Page 201: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 12 Introduction toMotor Drives

12-6

Two Coupling Mechanisms

• Commonly used

Page 202: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 12 Introduction toMotor Drives

12-7

Instantaneous Waveforms of Torque and Current

• Their RMS values may determine the limit

Page 203: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 12 Introduction toMotor Drives

12-8

Simplified Circuit of a Drive

• Allows discussion of various parameters and operating conditions on losses and ratings

Page 204: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 12 Introduction toMotor Drives

12-9

Control of Servo Drives

• The structure is application dependent

Page 205: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 12 Introduction toMotor Drives

12-10

Limiters in the Control Structure

• By providing ramp limiters, for example, drive can be prevented from “triping” under sudden changes

Page 206: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 13 DC Motor Drives 13-1

Chapter 13

DC-Motor Drives

•These drives continue to be used

Page 207: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 13 DC Motor Drives 13-2

DC-Motor Structure

• With permanent magnets or a wound field

Page 208: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 13 DC Motor Drives 13-3

DC-Motor Equivalent Circuit

• The mechanical system can also be represented as an electrical circuit

Page 209: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 13 DC Motor Drives 13-4

Four-Quadrant Operation of DC-Motor Drives

• High performance drives may operate in all four quadrants

Page 210: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 13 DC Motor Drives 13-5

DC-Motor Drive Torque-Speed Characteristics and Capabilities

• With permanent magnets

Page 211: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 13 DC Motor Drives 13-6

DC-Motor Drive Capabilities

• Separately-Excited field

Page 212: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 13 DC Motor Drives 13-7

Controlling Torque, Speed and Position

• Cascaded control is commonly used

Page 213: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 13 DC Motor Drives 13-8

Small-Signal Representation of DC Machines

• Around a steady state operating point

Page 214: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 13 DC Motor Drives 13-9

Electrical Time-Constant of the DC Machine

• The speed is assumed constant

Page 215: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 13 DC Motor Drives 13-10

Mechanical Time-Constant of the DC Machine

• The load-torque is assumed constant

Page 216: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 13 DC Motor Drives 13-11

DC-Motor Drive: Four-Quadrant Capability

• If a diode-rectifier is used, the energy recovered during regenerative braking is dissipated in a resistor

Page 217: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 13 DC Motor Drives 13-12

Ripple in the Armature Current

• Bi-polar and uni-polar voltage switchings

Page 218: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 13 DC Motor Drives 13-13

Control of Servo Drives

• A concise coverage is presented in “Electric Drives: An Integrative Approach” by N. Mohan (www.MNPERE.com)

Page 219: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 13 DC Motor Drives 13-14

Effect of Blanking Time

• Non-linearity is introduced

Page 220: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 13 DC Motor Drives 13-15

Converters for Limited Operational Capabilities

• Two switches for 2-quadrant operation and only one switch for 1-quadrant operation

Page 221: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 13 DC Motor Drives 13-16

Line-Controlled Converters for DC Drives

• Large low-frequency ripple in the dc output of converters

Page 222: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 13 DC Motor Drives 13-17

Four Quadrant Operation using Line Converters

• Two options to achieve 4-quadrant operation

Page 223: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 13 DC Motor Drives 13-18

Effect of Discontinuous Current Conduction

• Speed goes up unless it is controlled

Page 224: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 13 DC Motor Drives 13-19

Open-Loop Speed Control

• Adequate for general-purpose applications

Page 225: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 13 DC Motor Drives 13-20

DC Drive Characteristics and Capabilities

• Line current in switch-mode and line-converter drives

Page 226: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-1

Chapter 14

Induction Motor Drives

• Extremely large potential as adjustable speed drives

Page 227: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-2

Pump Application: Adjustable Flow rate

• Fixed versus adjustable speed drive

Page 228: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-3

Per-Phase Representation

• Assuming sinusoidal steady state

Page 229: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-4

Important Relationships in an Induction Machine

• Not necessary for our purposes to know the exact expressions for constants used here

Page 230: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-5

Torque-Speed Characteristics

• The linear part of the characteristic is utilized in adjustable speed drives

Page 231: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-6

Plot of Normalized Rotor Current

• It increases with slip and slip frequency

Page 232: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-7

Acceleration Torque at Startup

• Intersection represents the equilibrium point

Page 233: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-8

Torque Speed Characteristics at various Frequencies of Applied Voltage

• The air gap flux is kept constant

Page 234: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-9

Adjusting Speed of a Centrifugal Load

• The load torque is proportional to speed squared

Page 235: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-10

Frequency at Startup

• The torque is limited to limit current draw

Page 236: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-11

Increasing Speed at Startup

• The ramp rate of frequency depends on load inertia

Page 237: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-12

Phasor Diagram at Small Value of Slip Frequency

• The rotor branch is assumed to be purely resistive

Page 238: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-13

Voltage Boost to Keep Air Gap Flux at its Rated Value

• Depends on the torque loading of the machine

Page 239: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-14

Induction Motor Drive Capability Curves

• Mainly two regions

Page 240: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-15

Generator Mode of Operation

• Rotor speeds exceed the synchronous speed

Page 241: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-16

Regenerative Braking Mode to Slow Down

• Machine is made to go into the generator mode

Page 242: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-17

Per-Phase Equivalent Circuit at Harmonic Frequencies

• The magnetizing branch is ignored

Page 243: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-18

Torque Pulsations due to Harmonics

• Rotations of fields due to the fifth and the seventh harmonics are in opposite directions

Page 244: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-19

Classification of Converter Systems

• PWM-VSI is now most commonly use

Page 245: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-20

PWM-VSI System

• Diode rectifier for unidirectional power flow

Page 246: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-21

PWM-VSI System

• Options for recovered energy during regenerative braking

Page 247: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-22

General-Purpose Speed Controller

• High dynamic performance is not the objective here

Page 248: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-23

Change in Switching Frequency based on the required Fundamental Frequency

• Can be significant in large power ratings

Page 249: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-24

Field-Oriented Control

• A concise coverage is presented in “Advanced Electric Drives: Analysis, Control and Modeling using Simulink” by N. Mohan (www.MNPERE.com)

Page 250: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-25

Square-Wave VSI Waveforms

• Large peak-peak ripple in currents

Page 251: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-26

CSI Drives

• Mostly PWM-VSI drives are used

Page 252: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-27

Comparison of Three Types of Inverter Systems

• PWM-VSI is by far the most commonly selected system now

Page 253: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-28

Speed Control by Adjusting the Stator Voltage

• Highly inefficient in most cases

Page 254: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-29

Controlling the Stator Voltage Magnitude

• Results in distorted current and torque pulsations

Page 255: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-30

Torque-Speed Curves for Wound-Rotor Machines

• Highly energy-inefficient unless using energy recovery schemes

Page 256: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 14 InductionMotor Drives

14-31

Static Slip Recovery

• Applications in very large power ratings where the speed is to be adjusted over a very limited range

Page 257: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 15 SynchronousMotor Drives

15-1

Chapter 15

Synchronous Motor Drives

• A large variety of applications – higher efficiency

Page 258: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 15 SynchronousMotor Drives

15-2

Rotor Structure

• Permanent-magnet or wound with a field winding

Page 259: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 15 SynchronousMotor Drives

15-3

Per-Phase Representation

• In sinusoidal steady state

Page 260: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 15 SynchronousMotor Drives

15-4

Phasor Diagram

• Optimum operation

Page 261: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 15 SynchronousMotor Drives

15-5

Rotor Position

• Needs closed-loop operation knowing the rotor position

Page 262: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 15 SynchronousMotor Drives

15-6

Synchronous Motor Drive

• Controller based on steady state operation

Page 263: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 15 SynchronousMotor Drives

15-7

Trapezoidal Waveform Synchronous Motor

• used in applications where speed of response not critical

Page 264: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 15 SynchronousMotor Drives

15-8

Load-Commutated Inverter (LCI) Drive

• Used in very large power ratings

Page 265: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 15 SynchronousMotor Drives

15-9

LCI Drive Controller

• Line converter controls the dc-link current

Page 266: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 15 SynchronousMotor Drives

15-10

Three-Phase Cycloconverter

• Low-frequency ac output is synthesized

Page 267: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 16 Residential andIndustrial Applications

16-1

Chapter 16

Residential and Industrial Applications

• Significant in energy conservation; productivity

Page 268: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 16 Residential andIndustrial Applications

16-2

Improving Energy Efficiency of Heat Pumps

• Used in one out of three new homes in the U.S.

Page 269: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 16 Residential andIndustrial Applications

16-3

Loss Associated with ON/OFF Cycling

• The system efficiency is improved by ~30 percent

Page 270: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 16 Residential andIndustrial Applications

16-4

Inductive Ballast of Fluorescent Lamps

• Inductor is needed to limit current

Page 271: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 16 Residential andIndustrial Applications

16-5

Rapid-Start Fluorescent Lamps

• Starting capacitor is needed

Page 272: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 16 Residential andIndustrial Applications

16-6

Electronic Ballast for Fluorescent Lamps

• Lamps operated at ~40 kHz

Page 273: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 16 Residential andIndustrial Applications

16-7

Induction Cooking

• Pan is heated directly by circulating currents –increases efficiency

Page 274: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 16 Residential andIndustrial Applications

16-8

Industrial Induction Heating

• Needs sinusoidal current at the desired frequency: two options

Page 275: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 16 Residential andIndustrial Applications

16-9

Welding Application

• Three options

Page 276: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 16 Residential andIndustrial Applications

16-10

Switch-Mode Welders

• Can be made much lighter weight

Page 277: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 16 Residential andIndustrial Applications

16-11

Integral Half-Cycle Controllers

• Used for heating

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Chapter 17 ElectricUtility Applications

17-1

Chapter 17

Electric Utility Applications

• These applications are growing rapidly

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Chapter 17 ElectricUtility Applications

17-2

HVDC Transmission

• There are many such systems all over the world

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Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 17 ElectricUtility Applications

17-3

HVDC Poles

• Each pole consists of 12-pulse converters

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Chapter 17 ElectricUtility Applications

17-4

HVDC Transmission: 12-Pulse Waveforms

• Idealized waveforms

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Chapter 17 ElectricUtility Applications

17-5

HVDC Transmission: Converters

• Inverter mode of operation

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Chapter 17 ElectricUtility Applications

17-6

Control of HVDC Transmission System

• Inverter is operated at the minimum extinction angle and the rectifier in the current-control mode

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Chapter 17 ElectricUtility Applications

17-7

HVDC Transmission: DC-Side Filters

Tuned for the lowest (12th

harmonic) frequency

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Chapter 17 ElectricUtility Applications

17-8

HVDC Transmission: AC-Side Filters

Tuned for the lowest (11th

and the 13th harmonic) frequencies

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Chapter 17 ElectricUtility Applications

17-9

Effect of Reactive Power on Voltage Magnitude

• Illustration of the basic principle

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Chapter 17 ElectricUtility Applications

17-10

Thyristor-Controlled Inductor (TCI)

• Increasing the delay angle reduces the reactive power drawn by the TCI

Page 288: Power Electronic Overview

Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 17 ElectricUtility Applications

17-11

Thyristor-Switched Capacitors (TSCs)

• Transient current at switching must be minimized

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Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 17 ElectricUtility Applications

17-12

Instantaneous VAR Controller (SATCOM)

• Can be considered as a reactive current source

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Chapter 17 ElectricUtility Applications

17-13

Characteristics of Solar Cells

• The maximum power point is at the knee of the characteristics

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Chapter 17 ElectricUtility Applications

17-14

Photovoltaic Interface

• This scheme uses a thyristor inverter

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Chapter 17 ElectricUtility Applications

17-15

Harnessing of Wing Energy

• A switch-mode inverter may be needed on the wind generator side also

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Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 17 ElectricUtility Applications

17-16

Interface with 3-Phase Utility Grid

• Uses a thyristor inverter

Page 294: Power Electronic Overview

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Chapter 17 ElectricUtility Applications

17-17

Interface of SMES

• Can be used for utility load leveling

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Chapter 17 ElectricUtility Applications

17-18

Active Filters for Harmonic Elimination

• Active filters inject a nullifying current so that the current drawn from the utility is nearly sinusoidal

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Chapter 18 Utility Interface 18-1

Chapter 18

Utility Interface

• Power quality has become an important issue

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Chapter 18 Utility Interface 18-2

Various Loads Supplied by the Utility Source

• PCC is the point of common coupling

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Chapter 18 Utility Interface 18-3

Diode-Rectifier Bridge

• Bock diagram

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Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 18 Utility Interface 18-4

Typical Harmonics in the Input Current

• Single-phase diode-rectifier bridge

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Chapter 18 Utility Interface 18-5

Harmonic Guidelines: IEEE 519

• commonly used for specifying limits on the input current distortion

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Chapter 18 Utility Interface 18-6

Harmonic Guidelines: IEEE 519

• Limits on distortion in the input voltage supplied by the utility

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Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 18 Utility Interface 18-7

Reducing the Input Current Distortion

• use of passive filters

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Chapter 18 Utility Interface 18-8

Power-Factor-Correction (PFC) Circuit

• For meeting the harmonic guidelines

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Chapter 18 Utility Interface 18-9

Power-Factor-Correction (PFC) Circuit Control

• generating the switch on/off signals

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Chapter 18 Utility Interface 18-10

Power-Factor-Correction (PFC) Circuit

• Operation during each half-cycle

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Chapter 18 Utility Interface 18-11

Thyristor Converters for 4-Quadrant Operation

• Two back-to-back connected 2-quadrant converters

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Chapter 18 Utility Interface 18-12

Switch-Mode Converter Interface

• Bi-directional power flow; unity PF is possible

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Chapter 18 Utility Interface 18-13

Switch-Mode Converter Interface

• Rectifier and Inverter modes based on the direction of power flow

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Copyright © 2003 by John Wiley & Sons, Inc.

Chapter 18 Utility Interface 18-14

Switch-Mode Converter Control

• DC bus voltage is maintained at the reference value

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Chapter 18 Utility Interface 18-15

Switch-Mode Converter Interface

• Waveforms in the rectifier mode

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Chapter 18 Utility Interface 18-16

3-Phase Switch-Mode Converter Interface

• Rectifier and Inverter modes based on the direction of power flow

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Chapter 18 Utility Interface 18-17

EMI: Conducted Interefence

• Common and differential modes

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Chapter 18 Utility Interface 18-18

Switching Waveforms

• Typical rise and fall times

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Chapter 18 Utility Interface 18-19

Conducted EMI

• Various Standards

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Chapter 18 Utility Interface 18-20

Conducted EMI

• Filter arrangement