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Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab. School of Information and Communication Eng. Sungkyunkwan University Tel: +82-31-299-4581 Fax: +82-31-299-4612 http://seml.skku.ac.kr EML: [email protected]

Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

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Page 1: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab. School of Information and Communication Eng. Sungkyunkwan University Tel: +82-31-299-4581 Fax: +82-31-299-4612 http://seml.skku.ac.kr EML: [email protected]

Page 2: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

Sungkyunkwan Univ., Energy Mechatronics Lab.

전력전자공학

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Power Semiconductor Switches?

POWER SEMICONDUCTOR SWITCHING DEVICE

POWER 대전류, 고전압

Handling

SEMICONDUCTOR 기계적 전기적

SWITCHING DEVICE fsw, P.D.

Overview (I)

Page 3: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

Sungkyunkwan Univ., Energy Mechatronics Lab.

전력전자공학

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Overview (II)

전력용 반도체 스위치의 요구사항

On state : 전류내량 크고, 도전저항 작을 것

Off state : 전압내력 크고, 누설전류 작을 것

OnOff : 스위칭 시간이 짧을 것

스위치 구동 드라이버의 요구 구동전력이 적고, 간단하며, 신뢰성 있을 것

전력용 반도체 스위치의 분류

Uncontrollable device : Diode

Controlled turn-on and Uncontrolled turn-off device : SCR Thyristor

Controllable device : GTO, Power BJT, MOSFET, IGBT…

Unipolar voltage-blocking device : Diode, BJT, MOSFET…

Unipolar voltage-blocking device : SCR, GTO, IGBT…

Unidirectional current-flow device : Diode, GTO, BJT, MOSFET, IGBT…

Bidirectional current-flow device : TRIAC…

Page 4: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

Sungkyunkwan Univ., Energy Mechatronics Lab.

전력전자공학

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Overview (III)

이상적인 스위치 (Ideal switch)

• On-state :

• Off-state :

• Switching behavior :

no conversion of energy during

active turn-on/off

0;

0 ;

s s

s s

V i

i V

실제 스위치 (Practical switch)

• On-state :

• Off-state :

• Switching behavior :

Exist conversion of energy

during active turn-on/off

0; ( )

0 ; ( )

s s

s s

V i limited

i V limited

Ideal Switch vs. Practical Switch

Page 5: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

Sungkyunkwan Univ., Energy Mechatronics Lab.

전력전자공학

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심볼

특성곡선

Datasheet (example)

• Uncontrollable device

• PN junction structure

Diode (I)

Page 6: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

Sungkyunkwan Univ., Energy Mechatronics Lab.

전력전자공학

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Diode (II)

특성

Reverse recovery

종류

General purpose diode

(rectifier diode)

Zener diode

Fast recovery diode

Ultra fast diode

Shottky diode

LED

Photo diode…

응용분야 ( 종류)

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

• Using fast switching frequency in case of dc-dc converter

Page 7: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

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Diode (III)

PSIM 시뮬레이션

Page 8: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

Sungkyunkwan Univ., Energy Mechatronics Lab.

전력전자공학

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Thyristor (I)

심볼

특성곡선

Datasheet (example)

• 문턱전류 (Holding current) – (IH)

• 유지전류 (Latching current) - (IL)

• Turn-on 제어만 가능

• Current controlled device

• Low switching frequency

• Uncontrollable gate turn off

• High volt. and curr. capab.

Page 9: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

Sungkyunkwan Univ., Energy Mechatronics Lab.

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Thyristor (II)

특성 종류

SCR (Silicon Controlled Rectifier)

• Thyristor

• GTO (Gate Turn Off Thyristor)

• TRAIC…

응용분야

Controlled rectifier

AC/DC Motor drive

Phase control…

• Turn-on 조건 : VAK>0 && iG>0

• Turn-off 조건 : VAK<0

Page 10: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

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Thyristor (III)

PSIM 시뮬레이션

Page 11: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

Sungkyunkwan Univ., Energy Mechatronics Lab.

전력전자공학

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Power BJT (I)

심볼 특성곡선

Cut-off

region

IC

VCE

0 0.7V VCE(MAX)

Saturation

regionActive region

(Linear region)

Breakdown

region

IB=0

IB1

IB2

IB3

IB4

IB5

IB6

IB7

• Used commonly in the past

• Now used in specific applications

• Replaced by MOSFETs and IGBTs

• Current controlled device

• Low switching freq. capability

• High voltage and current capability

Page 12: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

Sungkyunkwan Univ., Energy Mechatronics Lab.

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Power BJT (II)

특성 및 종류

B

C

E

n

p

n+

Emitter

Collector

Base

NPN-transistor

Emitter

Collector

Base

+

+

-

-IB

IC

IE

Electron flow

Hole flow

B

C

E

p

n

p+

Emitter

Collector

Base

PNP-transistor

Emitter

Collector

Base

+

+

-

-

IB

IC

IE

Electron flow

Hole flow

Darlington configuration

Triple Darlington configuration

Totem-pole circuit

Page 13: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

Sungkyunkwan Univ., Energy Mechatronics Lab.

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MOSFET (I)

심볼

특성곡선

Datasheet (example)

• Voltage controlled device

• High switching freq. capability

• Low VDSvolt. and curr. capab.

• Very high impedance between gate and source

• RDS(on)

• Eq. circuit : Resistor

vDS

+

_

D

G

iD

vGS

+

_

S

0vDS

iD

vGS=vGS(ON)

ON

OFF vGS=0

BVDSS

ID

ID,max

ON

OFF

0

Switching

iD

vDS

Page 14: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

Sungkyunkwan Univ., Energy Mechatronics Lab.

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MOSFET (II)

Datasheet (example)

Page 15: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

Sungkyunkwan Univ., Energy Mechatronics Lab.

전력전자공학

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MOSFET (III)

특성

제조과정상 역병렬 다이오드 생성됨

Body diode는 역회복시간이 수백ns~수us 정도로 비교적 느림

일반적으로 외부에 Shottky diode 달아줌

MOSFET의 온 저항(on-resistance)은 최대 차단전압 BVDSS가 클 수록

증가함

2.5~2.7

DSSDS ONr BV

n+ n+

p

n+

n-

GGS

D

D

G

S

Page 16: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

Sungkyunkwan Univ., Energy Mechatronics Lab.

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Q1

Q2

Q3

C

G

E

iB

IGBT (I)

심볼

내부구조

특성곡선

• Voltage controlled device

• Mid. switching freq. capability

• Mid. VDSvolt. and curr. capab.

• Very high impedance between gate and source

• VCE(sat)

• Eq. circuit : Voltage source

• MOSFET

속도빠름

• Transistor

내압 높음

• IGBT (Insulated Gate Bipolar Transistor)

• Transistor와 MOSFET의 장점만 조합하여 만듬

• BJT와 같이 On-drop이 전류에 관계없이 낮고 일정

• GTO와 같이 역방향 전압 저지 특성 가짐

0

OFF

iC

vCE

vGE=vGE(ON)

vGE=0

ON

OFF

iC

vCE

OFF

ON

OFF

0

Switching

vCE

+

_

C

E

G

iC

vGE

+

_

Page 17: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

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IGBT (II)

Datasheet (example)

Page 18: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

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IGBT (III)

Datasheet

• 안전동작영역 (SOA)

• 역바이어스 안전동작영역 (RBSOA)

Page 19: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

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IGBT (IV)

Datasheet

• IGBT 내부 커패시턴스

• IGBT Gate On & Off Energy

• IGBT Gate Charge

Page 20: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

Sungkyunkwan Univ., Energy Mechatronics Lab.

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IGBT (V)

Tail current 특성

• IGBT는 MOSFET의 turn-off 특성과 BJT의 turn-off 특성을 모두 가지고 있음

• Tail current 발생

• Switching 특성 감소시키고 loss 증가시킴

• Tail current 영향 줄이기 위해 MOSFET와 달리 Gate turn-off 시 (-) 전압 인가해야 함

Page 21: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

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Summary (I)

스위칭 주파수, 게이트 구동방식, 용량 등에 따른 비교

Diode Thyristor Power BJT MOSFET IGBT

On & Off

control -

Voltage

capability

Current

capability

Switching

frequency -

Gate drive

method -

Page 22: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

Sungkyunkwan Univ., Energy Mechatronics Lab.

전력전자공학

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전압, 전류, 주파수에 따른 상용 전력용 반도체 구성

Summary (II)

Page 23: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

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Fundamental (I)

v

vo Vd

-Vdvo,flt

ωt

ωt

ωt

vref vcarr

(a)

(b)

(c)

Operational Amplifier

연산작용 : 사칙연산 (신호의 크기 증폭) 증폭작용 : 신호의 전력 (힘) 증폭

1)

2)

3)

4)

ref carr

ref carr

ref carr

ref carr

V V

V V

V V

V V

v

vo Vd

-Vdvo,flt

ωt

ωt

ωt

vref vcarr

(a)

(b)

(c)

• Buffer

1 & 0

1 & 0

0 & 1

Page 24: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

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Sungkyunkwan Univ., Energy Mechatronics Lab.

Fundamental (II)

OP-Amp의 역사

Integrated circuit op amps

• Fairchild : 702, 709, 741 (1964 ~ 1968)

• National : 101, 301

small size, low cost, short design time

Transistor type ⇒ FET type

low input current, high input impedance, more fast

Dual and quad op amp packages

Application based op amps (Specialization)

Operational Amplifier : 다양한 수학적 연산을 위해서 제작 (1948)

Page 25: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

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Sungkyunkwan Univ., Energy Mechatronics Lab.

Fundamental (III)

OP-Amp의 구조

Page 26: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

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Ideal Practical Remarks

Infinite Voltage Gain Very Large Volt. Gain around 200,000 잘 키우고

Infinite Bandwidth Very Large Bandwidth kHz - MHz order 잘 보내주고

Infinite Input Impedance Very Large Input Z Very small input current 신호의 왜곡 없어지게

Zero Output Impedance Very Small Output Z Very small IO resistance 신호의 왜곡 없어지게

Virtually Internal Short 가상단락 두 입력단자의 전위 동일

2 1 out in inV A V V

Fundamental (IV)

OP-Amp의 특성

Page 27: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

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Fundamental (V)

OP-Amp의 특성

Page 28: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

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Single-ended mode: Double-ended mode: Differential mode Common mode: Filter 역할

Fundamental (VI)

OP-Amp의 입력모드

Page 29: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

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sV

t

VSR O /

sV

pFA

CISR

5.03015

Fundamental (VII)

Slew Rate

출력전압이 얼마나 빨리 변하느냐를 표시

Page 30: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

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Fundamental (VIII)

Open Loop & Closed Loop

입력과 출력이 연결되지 않음 출력신호가 입력으로 궤환됨

Page 31: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

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11

RCs

AVV

olin

outTotal Gain :

RCf

C 21

Fundamental (IX)

OP-Amp의 등가회로

Page 32: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

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RCf

C 21

in

outol V

VdBA

10' log20)(

Fundamental (X)

Open-Loop의 주파수 특성

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Fundamental (XI)

Phase delay between Input & Output

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Fundamental (XII)

Multi-Stages의 주파수 특성

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Fundamental (XIII)

Closed-Loop의 Gain & Bandwidth

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Fundamental (XIV)

Phase Margin, Gain Margin, Stability

Amplifier

Feedback Gain

FBv

inv outv

Negative Feedback System

inv

FBv

Positive Feedback

Negative Feedback

(180˚ 위상차 발생 시)

(위상차가 180˚ 이하 일 때)

Unstable

Stable

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Inverting Amplifier (I)

반전 증폭기의 입출력 관계

11

R

R

V

VfO

11

VR

RV f

O or

Page 38: Prof. Byoung-Kuk Lee, Ph.D. Energy Mechatronics Lab ...contents.kocw.net/KOCW/document/2015/sungkyunkwan/...B C E p n p+ Emitter Collector Base PNP-transistor Emitter Collector Base

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Inverting Amplifier (II)

반전 증폭기 시뮬레이션

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Inverting Amplifier (III)

반전 증폭기 실험파형

입력 전압 출력 전압

저항을 각각 R1=10kΩ 출력측 증폭도 G=1 Rf =10kΩ

저항을 각각 R1=10kΩ 출력측 증폭도 G=3 Rf =10kΩ

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Non-Inverting Amplifier (I)

비반전 증폭기의 입출력 관계

or

1

1

1R

R

V

VfO

11

1 VR

RV f

O

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Non-Inverting Amplifier (II)

비반전 증폭기 시뮬레이션

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Non-Inverting Amplifier (III)

비반전 증폭기 실험파형

입력 전압 출력 전압

저항을 각각 R1=10kΩ 출력측 증폭도 G=2 Rf =10kΩ

저항을 각각 R1=10kΩ 출력측 증폭도 G=4 Rf =10kΩ

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자성소자

자속 (Magnetic Flux)

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전기회로와 자기회로

permeance S conductance Admittance

Other relations

Potential difference

Field intensity relationship

V=IR

Equivalent circuit

Reluctance: 자기회로에서 자기력선속

에 대해 생기는 전기저항력

Resistance ( R ): 전기저항 (전류의 흐름을 방해하려는 성질의 크기)

Impedance

Flux: 임의의 표면적을 통과하는

자기력선의 수에 비례하는 양

Current (I): 전하의 이동 (전위차가 높은 곳에서 낮으 곳으로)

Response

MMF (Magnetomotive Force): 기자력 EMF (Electromotive Force) (V): 기전력 Driving force

Unit Magnetic Circuit Unit Electric Circuit

AtV

)(R

Wb

)(F

)(

H1

A

V R

I +

- R

F

+

- RF

VldE IldH V A

IRV AtV F R NI

EE

Al

A

EI

AR

V

A

IJ

)(

/JJE

:J:

:

전류밀도

저항률

전도율

2/ mA

m

)/(1 m

)/( AlA

Hl

AR

F

AB

/HH BBH /

:B 자속밀도

: 투자율

:

or

RP /1

자기저항률

T2/ mWb

mH /

H

Hm /

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암페어의 주회적분 법칙 (Ampere’s Law)

자기회로 (I)

전류가 흐르는 도선 주변에 H 크기의 자계 발생

자계 H [A/m]에 대하여 선적분하면 폐곡선 내를 통과하는 전체 전류와 같음

H dl i

실제 자성체에 권선이 감겨있고 전류가 흐를 경우 발생되는 자계와 기자력의 관계

1 1 1 1

k k m mk m

g g

H l N i

H l H l N i

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암페어의 오른나사 법칙 (Ampere’s Right Hand Rule)

자기회로 (II)

권선에 흐르는 전류의 방향 or 권선방향에 따라 자계의 방향 결정

오른손 법칙으로 결정됨

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B-H Curve

자기회로 (III)

투자율이란 : 자속을 투과시키는 비율 (투자율이 크면 자속을 많이 흘릴 수 있음)

공기, 철심, 페라이트 등의 투자율

히스테리시스 곡선 (B-H or φ-I 커브) & 포화

2

0

70

, : [ / ] [ ]

: [ / ]

,

( 4 10 , 500 ~ 3000, )

r

r

B H

where B flux density Wb m or T

permeability H m

where

iron

투자율

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Continuity of Flux Lines and Concept of Magnetic Reluctance

자기회로 (IV)

폐루프임 (closed loop): 회전하는 형태

발산하지 않음

스스로 magnetic flux를 만드는 것 없음

( )

1 2 3

0

. . 0

A closed surfaceB dA

i e

:

1:

( )

F Ni

NiMagnetic reluctance

Permeance P

전기회로의도전율과같은 개념

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Continuity of Flux Lines

자기회로 (V)

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Faraday’s Law

전자기 유도법칙 (I)

페러데이의 전자기유도법칙

• 1820년 Oersted: 전류가 흐르는 도선에 의해 자기가 만들어지는 사실 발견

• Faraday & Henry: 코일에 자석을 넣었다 뺏다 하면 도선에 전류가 흐르는 현상 발견

• 코일 내 자기장의 변화가 생기면 기전력 유도되는 현상 (물리적으로 뉴턴 2 & 3법칙으로 설명 가능)

• 유도되는 기전력의 크기는 자석의 운동 속도 뿐 아니라 권선의 감은 수에도 비례함

• 발전기의 동작원리임 * http://www.youtube.com/watch?v=stUDqGzpev8

de N

dt

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Lenz’s Law

전자기 유도법칙 (II)

렌쯔의 법칙

• 시간에 따라 변화되는 자계에 의해 발생된 유기기전력은 이를 방해하려는 방향으로 유기됨

http://www.youtube.com/watch?v=WHCwgc_xs3s&feature=related

de N

dt

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변압기 (I)

변압기 구조 및 특성곡선

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변압기 (II)

변압기 구조 등가회로

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Fundamental

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Fundamental

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Fundamental

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Fundamental

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PSIM Component

RLC & Switch

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PSIM Component

Diode & Thyristor

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PSIM Component

Transformer

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PSIM Component

Induction Motors

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PSIM Component

PMSM & BLDC

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PSIM Component

Motor Drive ETC

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PSIM Component

Mathematical Operation

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PSIM Component

Trigonometry & Logic Function

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Simulation

시뮬레이션 진행과정

부품배치

결선

계측기배치 및 결선

소자 파라미터 선정

시뮬레이션 컨트롤러

시뮬레이션 시작

파형분석

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation

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Simulation