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Fundamentals of Power Electronics Chapter 1: Introduction 1 Fundamentals of Power Electronics Second edition Robert W. Erickson Dragan Maksimovic University of Colorado, Boulder

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Fundamentals of Power Electronics Chapter 1: Introduction1

Fundamentals of Power ElectronicsSecond edition

Robert W. EricksonDragan Maksimovic

University of Colorado, Boulder

Fundamentals of Power Electronics Chapter 1: Introduction2

Chapter 1: Introduction

1.1. Introduction to power processing1.2. Some applications of power electronics1.3. Elements of power electronics

Summary of the course

Fundamentals of Power Electronics Chapter 1: Introduction3

1.1 Introduction to Power Processing

Dc-dc conversion: Change and control voltage magnitudeAc-dc rectification: Possibly control dc voltage, ac currentDc-ac inversion: Produce sinusoid of controllable

magnitude and frequencyAc-ac cycloconversion: Change and control voltage magnitude

and frequency

Switchingconverter

Powerinput

Poweroutput

Controlinput

Fundamentals of Power Electronics Chapter 1: Introduction4

Control is invariably required

Switchingconverter

Powerinput

Poweroutput

Controlinput

Controller

reference

feedbackfeedforward

Fundamentals of Power Electronics Chapter 1: Introduction5

High efficiency is essential

High efficiency leads to lowpower loss within converter

Small size and reliable operationis then feasible

Efficiency is a good measure ofconverter performance

0 0.5 1 1.5

0.2

0.4

0.6

0.8

1

Ploss / Pout

ηη =Pout

Pin

Ploss = Pin – Pout = Pout1η – 1

Fundamentals of Power Electronics Chapter 1: Introduction6

A high-efficiency converter

A goal of current converter technology is to construct converters of smallsize and weight, which process substantial power at high efficiency

ConverterPin Pout

Fundamentals of Power Electronics Chapter 1: Introduction7

Devices available to the circuit designer

DTs Ts

Resistors Capacitors Magnetics Semiconductor devices

Linear-mode

+ –

Switched-mode

Fundamentals of Power Electronics Chapter 1: Introduction8

Devices available to the circuit designer

Signal processing: avoid magnetics

DTs Ts

Resistors Capacitors Magnetics Semiconductor devices

Linear-mode

+ –

Switched-mode

Fundamentals of Power Electronics Chapter 1: Introduction9

Devices available to the circuit designer

Power processing: avoid lossy elements

DTs Ts

Resistors Capacitors Magnetics Semiconductor devices

Linear-mode

+ –

Switched-mode

Fundamentals of Power Electronics Chapter 1: Introduction10

Power loss in an ideal switch

Switch closed: v(t) = 0

Switch open: i(t) = 0

In either event: p(t) = v(t) i(t) = 0

Ideal switch consumes zero power

+

v(t)

i(t)

Fundamentals of Power Electronics Chapter 1: Introduction11

A simple dc-dc converter example

Input source: 100VOutput load: 50V, 10A, 500WHow can this converter be realized?

+– R

+

V50V

Vg

100V

I10A

Dc-dcconverter

Fundamentals of Power Electronics Chapter 1: Introduction12

Dissipative realization

Resistive voltage divider

+– R

+

V50V

Vg

100V

I10A

+ 50V –

Ploss = 500W

Pout = 500WPin = 1000W

Fundamentals of Power Electronics Chapter 1: Introduction13

Dissipative realization

Series pass regulator: transistor operates inactive region

+– R

+

V50V

Vg

100V

I10A+ 50V –

Ploss ≈ 500W

Pout = 500WPin ≈ 1000W

+–linear amplifierand base driver

Vref

Fundamentals of Power Electronics Chapter 1: Introduction14

Use of a SPDT switch

+– R

+

v(t)50 V

1

2

+

vs(t)

Vg

100 V

I10 A

vs(t) Vg

DTs (1 – D) Ts

0

tswitch

position: 1 2 1

Vs = DVg

Fundamentals of Power Electronics Chapter 1: Introduction15

The switch changes the dc voltage level

D = switch duty cycle0 ≤ D ≤ 1

Ts = switching period

fs = switching frequency = 1 / Ts

Vs = 1Ts

vs(t) dt0

Ts

= DVg

DC component of vs(t) = average value:

vs(t) Vg

DTs (1 – D) Ts

0

tswitch

position: 1 2 1

Vs = DVg

Fundamentals of Power Electronics Chapter 1: Introduction16

Addition of low pass filter

Addition of (ideally lossless) L-C low-pass filter, forremoval of switching harmonics:

• Choose filter cutoff frequency f0 much smaller than switchingfrequency fs

• This circuit is known as the “buck converter”

+– R

+

v(t)

1

2

+

vs(t)

Vg

100 V

i(t)

L

C

Ploss smallPout = 500 WPin ≈ 500 W

Fundamentals of Power Electronics Chapter 1: Introduction17

Addition of control systemfor regulation of output voltage

δ(t)

TsdTs t

+–

+

v

vg

Switching converterPowerinput

Load–+

Compensator

vrefReference

input

HvPulse-widthmodulator

vc

Transistorgate driver

δ Gc(s)

H(s)

ve

Errorsignal

Sensorgain

i

Fundamentals of Power Electronics Chapter 1: Introduction18

The boost converter

+–

L

C R

+

V

1

2

Vg

D

0 0.2 0.4 0.6 0.8 1

V

5Vg

4Vg

3Vg

2Vg

Vg

0

Fundamentals of Power Electronics Chapter 1: Introduction19

A single-phase inverter

1

2

+–

load

+ v(t) –

2

1

Vg

vs(t)

+ –

t

vs(t) “H-bridge”Modulate switchduty cycles toobtain sinusoidallow-frequencycomponent

Fundamentals of Power Electronics Chapter 1: Introduction20

1.2 Several applications of power electronics

Power levels encountered in high-efficiency converters• less than 1 W in battery-operated portable equipment• tens, hundreds, or thousands of watts in power supplies for

computers or office equipment• kW to MW in variable-speed motor drives• 1000 MW in rectifiers and inverters for utility dc transmission

lines

Fundamentals of Power Electronics Chapter 1: Introduction21

A laptop computer power supply system

vac(t)

iac(t) Charger

PWMRectifier

Lithiumbattery

ac line input85–265 Vrms

Inverter

Buckconverter

Boostconverter

Displaybacklighting

Microprocessor

Powermanagement

Diskdrive

Fundamentals of Power Electronics Chapter 1: Introduction22

Power system of an earth-orbiting spacecraft

Solararray

+

vbus

Batteries

Batterycharge/discharge

controllers

Dc-dcconverter

Payload

Dc-dcconverter

Payload

Dissipativeshunt regulator

Fundamentals of Power Electronics Chapter 1: Introduction23

An electric vehicle power and drive system

3øac line

50/60 Hz

Batterycharger

battery

+

vb

Variable-frequencyVariable-voltage ac

Inverter

ac machine

Inverter

Inverter

ac machine

DC-DCconverter

µPsystem

controller

VehicleelectronicsLow-voltage

dc bus

control bus

ac machine ac machine

Inverter