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Presented by Won-yong Sung Energy Mechatronics Lab. School of Information and Communication Eng. Sungkyunkwan University http://seml.skku.ac.kr DC-DC Converter(II) (Buck-Boost & Cuk) 전전전전 전전전전전 March. 24. 2011

Cuk dc dc+converter

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Page 1: Cuk dc dc+converter

Presented by Won-yong SungEnergy Mechatronics Lab.School of Information and Communication Eng.Sungkyunkwan Universityhttp://seml.skku.ac.kr

DC-DC Converter(II)

(Buck-Boost & Cuk)

전기기기 컴퓨터제어

March. 24. 2011

Page 2: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

2

Buck-Boost Converter

Vi

Vs

VD

D

L VL C

isiL

ioic

iD

VOLoad

Step-Down Step-Up Step-Down/Up

Page 3: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

3

Vi

Vs

VD

D

L VL C

isiL

ioic

iD

VO

Mode Analysis - 1

0 ≤ < DTSwitch on, Diode off

-

Inductor current increases

-

Diode Voltage

-

, 0s L Di i i

D i Ov v v

Buck-Boost Converter(CCM Analy-sis)

DT T

vS

t

Vi+Vo

vD

tDT T

iD

t

Imax

Imin

DT T

iSImax

Imin

tDT T

iL

t

Imax

Imin

DT T

vL

DT Tt

-Vo

Vi

Vi+Vo

min0

1)( IdtVL

tit

iL

Page 4: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

4

Vi

Vs

VD

D

L VL C

isiL

ioic

iD

VO

Mode Analysis - 2

DT ≤ < TSwitch off, Diode on

-

Inductor current decreases

-

Switch Voltage

-

D Li i

s iv v

DT T

vS

t

Vi+Vo

vD

tDT T

iD

t

Imax

Imin

DT T

iSImax

Imin

tDT T

iL

t

Imax

Imin

DT T

vL

DT Tt

-Vo

Vi

Vi+Vo

max0 )(1)( IdtvL

tit

DTL

Buck-Boost Converter(CCM Analy-sis)

Page 5: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

5

)1( DVDTV oi

10

8

4

2

0

Gv

0.2 0.4

6

0.6 0.8 1D

Buck Mode Boost Mode

0( ) (1 ) 0L i

Based on Inductor Volt Sec BalanceV V DT V D T

)1(0

DD

VVG

iV

vL

DT T

-Vo

Vi

t

Buck-Boost Converter(CCM Analy-sis)

Page 6: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

6

Vi

Vs

VD

D

L VL C

isiL

ioic

iD

VO

Inductor Current Analysis

Vi

Vs

VD

D

L VL C

isiL

ioic

iD

VOminmax ∫)( IdtVLDTtiI DT

iL +1=== 0

maxmin ∫ )-()( IdtvLTtiI TDTL +1=== 0

DTLVII i minmax

TDLVII )-(- minmax 1•= 0

dtdiLv L

L LV

dtdi iL

min0

1)( IdtVL

tit

iL

0vvL Lv

dtdiL 0

max0 )(1)( IdtvL

tit

DTL

Buck-Boost Converter(CCM Analy-sis)

Page 7: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

7

iD

t

Imax

Imin

DT T

iSImax

Imin

tDT T

iL

t

Imax

Imin

DT T

iD

t

Imax

Imin

DT T

iSImax

Imin

tDT T

iL

t

Imax

Imin

DT T

2minmax IIIL

LiLi

siin

IVDT

DTIV

IVP

RDVD

RV

IVP

i

2

220

000

)1()(

)1(

)1()1(0

02

DI

DRV

DRVDI i

L

TL

VDI

DTL

VII

L

iL

2)1(

20

max

TL

VDI

DTL

VII

L

iL

2)1(

20

min

siin iVp

Inductor Current Analysis

Buck-Boost Converter(CCM Analy-sis)

Page 8: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

8

iD

t

Imax

Imin

DT T

Io=Vo/R

DT T

iC

t-Io

Io

tDT T

vC-Vo

Δvo

)1

1

0

00

/R(VDTC

IDTC

Δv

RVIi 0

00

RVii DC0

Capacitor Voltage Analysis

Buck-Boost Converter(CCM Analy-sis)

𝐶=𝐷𝑇𝑅

𝑉 𝑜

∆𝑣𝑜= 𝐷𝑅 𝑓 𝑠𝑤

1𝑅𝐹

Page 9: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

9

: CCM

Buck-Boost ConverterBoundary Conduction Mode

20

00

0max

)1(2

)1()1(2

22)1(

DLTVI

DID

LTVI

IL

TVDII

oB

LB

LL

LTVI

LTVI

oB

LB

2

20

max,

0max,

Page 10: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

10

Buck-Boost Converter

DDD

VVG

AiV

0

TD

DTAL

A

IdtvL

TDti 0)(1)( max0

0

max

TVLIDDA )(

2max

0 DDII A 0

02TVLIDDA

Discontinuous Conduction Mode

Based on Inductor Volt Sec Balance

Page 11: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

11

Buck-Boost ConverterSimulation

𝐿≥ 𝑅2 𝑓 𝑠𝑤

(1−𝐷 )2= 102×5000

(0.8 )2=640𝑢𝐹

Page 12: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

12

Buck-Boost ConverterSimulation

L=1280uF>640uF=> CCM

L=640uF=640uF=> BCM

L=320uF<640uF=> DCM

Page 13: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

13

Cuk Converter

Buck-Boost 와 마찬가지로 출력전압의 승압과 강압이 모두 가능

+ v L1 -

i C1

-V o

+

S

L1 C1

C2

+ v s

-+ v C1 -

i L2i L1

i D1

- vL2 +

D

L2

Vi

i o

i c

-V d

+

i s

Page 14: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

14

C

+ v L1 -

-V o

+

L1 C1

+ v s

-

+ v C1 -

i L2i L1

i D1

- vL2 +

D

L2i C1=i L1

SVi

i o

i c

-V d

+

i s

Switch off, Diode on

Inductor current decrease

Capacitor is discharged electric-

ity

Cuk Converter

① Switch OFF / Diode ON0

off

onVin

t

vL1

0off

ont

vL2

(Vin-VC1=-Vo)

VC1-Vo

-Vo

0 t

iL1

IL1

0 t

iL2

IL2

(1-D)Ts(=toff)

DTs(=ton)

Mode Analysis - 1

Page 15: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

15

CS

+ v L1 -

i C1=-i L2

-V o

+

L1 C

+ v s

-

+ v C1 -

i L2i L1

- vL2 +

L2

DVi

i o

i c

i D1

-V d

+

i s

Cuk Converter

② Switch ON / Diode OFF

Switch on, Diode off

Inductor current increase

Capacitor charges electricity

0off

onVin

t

vL1

0off

ont

vL2

(Vin-VC1=-Vo)

VC1-Vo

-Vo

0 t

iL1

IL1

0 t

iL2

IL2

(1-D)Ts(=toff)

DTs(=ton)

Mode Analysis - 2

Page 16: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

16

10

8

4

2

0

Gv

0.2 0.4

6

0.6 0.8 1D

Buck Mode Boost Mode

Cuk Converter

Based on Inductor Volt Sec Balance=0=0

0off

onVin

0off

on

vL2

(Vin-VC1=-Vo)

VC1-Vo

-Vo

t

vL1

t

(1-D)Ts(=toff)

DTs(=ton)

(1-D)Ts(=toff)

DTs(=ton)

01 VVV iC

iC VD

DDVV

110

Page 17: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

17

Inductor Current

Cuk Converter

CS

+ v L1 -

i C1=-i L2

-V o

+

L1 C

+ v s

-

+ v C1 -

i L2i L1

- vL2 +

L2

DVi

i o

i c

i D1

-V d

+

i s

DTt 0

dtdiLv L

L1

11

1

1

LV

dtdi iL

1min01

11)( IdtVL

tit

iL

1min01

11max1)( IdtVL

DTtiiDT

iL

DTLVII i 1

1min1max

0 t

iL1

IL1

0off

onVin

vL1

(Vin-VC=-Vo)

(1-D)Ts(=toff)

DTs(=ton)

t

Page 18: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

18

Inductor Current

Cuk Converter

C

+ v L1 -

-V o

+

L1 C1

+ v s

-

+ v C1 -

i L2i L1

i D1

- vL2 +

D

L2i C1=i L1

SVi

i o

i c

-V d

+

i s

TtDT

11 CiL vVv

1

11

LvV

dtdi CiL

t

DTciL IdtvV

Lti 1max1

11 )(1)(

1max11

11min )(1)( IdtvVL

TtiIT

DTCiL TD

LVVII Ci )1(1

11max1min

21min1max

1IIIL

DTL

VII iL

111max 2

DTL

VII iL

111min 2

0 t

iL1

IL1

0off

onVin

vL1

(Vin-VC=-Vo)

(1-D)Ts(=toff)

DTs(=ton)

t

Page 19: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

19

Inductor Current

Cuk Converter

CS

+ v L1 -

i C1=-i L2

-V o

+

L1 C

+ v s

-

+ v C1 -

i L2i L1

- vL2 +

L2

DVi

i o

i c

i D1

-V d

+

i s

DTt 0

dtdiLv L

L2

22

2

012

Lvv

dtdi CL

t

CL IdtvvL

ti0

2min012

2 )(1)(

2min0

012

22max

)(1

)(

IdtVVL

DTtiIDT

C

L

DTL

VVII C

2

012min2max

0off

on

vL2 VC1-Vo

0 t

iL2

IL2

(1-D)Ts(=toff)

DTs(=ton)

t

-Vo

Page 20: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

20

Inductor Current

Cuk Converter

C

+ v L1 -

-V o

+

L1 C1

+ v s

-

+ v C1 -

i L2i L1

i D1

- vL2 +

D

L2i C1=i L1

SVi

i o

i c

-V d

+

i s

0off

on

vL2 VC1-Vo

0 t

iL2

IL2

(1-D)Ts(=toff)

DTs(=ton)

t

-Vo

TtDT

22min2max

2IIIL

RV

DD

RVII

i

L

10

02

DTL

VI

TDL

VII

iL

L

22

2

022max

2

)1(2

DTL

VI

TDL

VII

iL

L

22

2

022min

2

)1(2

Page 21: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

21

Capacitor Voltage

+ v L1 -

i C1

-V o

+

S

L1 C1

C2

+ v s

-

+ v C1 -

i L2i L1

i D1

- vL2 +

D

L2

Vi

i o

i c-

V d +

i s

iC1

t

Imax1

Imin1

- Imax2- Imin2

DT T

vC1 – VC1

ΔvC1 t

t

11

1 )1(1LC ITD

Cv

Cuk Converter

Page 22: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

22

Capacitor Voltage

+ v L1 -

i C1

-V o

+

S

L1 C1

C2

+ v s

-

+ v C1 -

i L2i L1

i D1

- vL2 +

D

L2

Vi

i o

i c-

V d +

i s

t

iC2

(Imax2 – Imin2)12

(Imax2 – Imin2)12

t

vC2 - Vo

Δvo

DT

DT

T

T

Rvi 0

0

RVIi 0

00

dtdvCiC

022

81

22211

2

2min2max2

2min2max

20

T)I(IC

TIIC

Δv

22

2

2

2

0

20

8

8)1(1

CLTDV

TDLV

Cv

i

Cuk Converter

Page 23: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

23

Simulation

Cuk Converter

Page 24: Cuk dc dc+converter

Sungkyunkwan Univ., Energy Mechatronics Lab.

24

Simulation

Cuk Converter