Tutorial information about Prof. Jih-Sheng (Jason) Lai - International

57
JSL 1 High-Efficiency Power Conversion for Renewable Energy and Distribution Generation Professor Jih-Sheng (Jason) Lai Future Energy Electronics Center Virginia Polytechnic Institute and State University 106 Plantation Road Blacksburg, VA 24061-0356 WWW.FEEC.ECE.VT.EDU November 2, 2009 Presentation at PEDS 2009 Taipei, Taiwan JSL 2 Outline Part A – High Efficiency DC-DC Converters 1. High-Efficiency Low-Ripple Isolated DC-DC Converter 2. Energy Management Using Bidirectional DC/DC Converter 3. High Boost Ratio DC-DC Converters Part B – High Efficiency Inverters 1. Half-Cycle Asymmetrical Unipolar PWM 2. Single-Stage Power Conversion 3. Dual Buck Converters 4. H5 Inverter 5. Isolated Single-Stage Design 6. Soft-Switching Inverters Part C – Energy Efficiency Standards

Transcript of Tutorial information about Prof. Jih-Sheng (Jason) Lai - International

JSL 1

High-Efficiency Power Conversion for Renewable Energy and Distribution

Generation

Professor Jih-Sheng (Jason) LaiFuture Energy Electronics Center

Virginia Polytechnic Institute and State University106 Plantation Road

Blacksburg, VA 24061-0356WWW.FEEC.ECE.VT.EDU

November 2, 2009

Presentation at

PEDS 2009

Taipei, Taiwan

JSL 2

Outline

Part A – High Efficiency DC-DC Converters1. High-Efficiency Low-Ripple Isolated DC-DC Converter

2. Energy Management Using Bidirectional DC/DC Converter3. High Boost Ratio DC-DC Converters

Part B – High Efficiency Inverters 1. Half-Cycle Asymmetrical Unipolar PWM

2. Single-Stage Power Conversion

3. Dual Buck Converters

4. H5 Inverter

5. Isolated Single-Stage Design

6. Soft-Switching Inverters

Part C – Energy Efficiency Standards

JSL 3

Part A – High Efficiency DC-DC Converters1. High-Efficiency Low-Ripple Isolated DC-DC Converter

2. Energy Management Using Bidirectional DC/DC Converter3. High Boost Ratio DC-DC Converters

Part B – High Efficiency Inverters1. Half-Cycle Asymmetrical Unipolar PWM

2. Single-Stage Power Conversion

3. Dual Buck Converters

4. H5 Inverter

5. Isolated Single-Stage Design

6. Soft-Switching Inverters

Part C – Energy Efficiency Standards

Outline – Part A

JSL 4

Outline – Part A-1

Part A – High Efficiency DC-DC Converters1. High-Efficiency Low-Ripple Isolated DC-DC Converter

2. Energy Management Using Bidirectional DC/DC Converter3. High Boost Ratio DC-DC Converters

Part B – High Efficiency Inverters1. Half-Cycle Asymmetrical Unipolar PWM

2. Single-Stage Power Conversion

3. Dual Buck Converters

4. H5 Inverter

5. Isolated Single-Stage Design

6. Soft-Switching Inverters

Part C – Energy Efficiency Standards

JSL 5

Why Single-Switch DC-DC Converters are Inefficient?

Forward: <50%

Flyback: <50%

iM

Half-bridge: 100% Push-pull: 100% Full-bridge: 100%

iM-pk

B

HNiM-pk

B

H

iM

Magnetizing current

0 0

iM-pk

t t

Core is fully utilized

–NiM-pk

NiM-pk

Core is half utilized

JSL 6

Half-Bridge DC/DC Converter

Low device count Low voltage device Device sees twice current Unbalance due to split capacitors High leakage due to twice transformer turns ratio

L

C R vo

+

D5

D6

D7

D8

vd

i2

iL

Vin

+

1 : nM1

M2

b

C1

a

C2

i1

10V>500A

20V>250A 400V

5 kW

JSL 7

Push-Pull DC/DC Converter

L

C R vo

+

D5

D6

D7

D8

vd

i2

iL

+ Simple non-isolated gate drives+ Suitable for low-voltage low-power applications– Device sees twice input voltage – need high voltage MOSFET High conduction voltage drop, low efficiency

– Center-tapped transformer Difficult to make low-voltage high-current terminations Prone to volt-second unbalance (saturation)

1:1:n

M1 M2Vin

+

a

b

40V20V>250A

400V5 kW

JSL 8

Full-Bridge DC/DC Converter

Most popular circuit today for high-power applications Soft switching possible

Reasonable device voltage ratings

High component count from the look

High conduction losses

L

C R vo

+

D5

D6

D7

D8

vd

i2

iL

Vin

+

1 : n

M1 M3

M2 M4

a

b

i1

20V>250A

20V>250A

400V5 kW

JSL 9

Device Voltage and Current Stresses

Device voltage stress Push-pull: 200%

Half-bridge: 100%

Full-bridge: 100%

Device current stress Half-bridge: 200%

Push-pull: 100%

Full-bridge: 100%

Output diode voltage stress Center tap: 200%

Full-bridge: 100%

JSL 10

Ripple Currents with Full-Bridge Converters

Time

0s 2ms 4ms 6ms 8ms 10msV(Vfc)

10V

20V

30V

-I(Vfc)20A

40A

60A

I(Cin)-50A

50A

100A

150A

SEL>>

I(Ld3) V(Iac)-15A

-5A

5A

15A

Source voltage

Source currentLoad step

Input capacitor current

AC load currentFilter inductor current

Load dump

330%

33%

JSL 11

Switching Waveforms with Full-Bridge Converter

Time

4.998ms 5.000ms 5.002ms 5.004ms 5.006ms 5.008ms 5.010msI(M1:d) I(M3:d)

-25A

25A50A75A

100A

SEL>>

V(M1:d)-V(M1:s) V(M1:g)-V(M1:s)-10V0V10V20V30V40V

I(Cin)-100A

-50A

0A

50A

100A

150 A

Ripple frequency = 100 kHz

Zero-voltage switching is achieved

JSL 12

A Three-Phase Bridge Converter

vin

L

Cf

+

Co vo

+

1 : n

S1 S5

S4 S2

a

c

HF ACXformer Rectifier+LC filter

D1

D4

D3

D6

iA ia

iLA

ctiv

e L

oad

Fu

el C

ell o

r ot

her

vol

tage

sou

rce

3-phase bridge inverter

S3

S6

b

D5

D2

A

B

Cn

–iC

• Hard switching • With 4 devices in parallel per switch• Efficiency 95%

20V>167A

JSL 13

Source Voltage and Current with 3-Phase Bridge Converter Case

Time

0s 5ms 10msV(Vfc)

10V

20V

30V

-I(Vfc)20A

60A

SEL>>

I(Cin)-50A

0A

50A

100A

150AI(Ld3) V(Iac)

-15A

-5A

5A

15A

Source voltage

Source currentLoad step

Input capacitor current

AC load currentFilter inductor current

A significant reduction in capacitor ripple current

33%

80%

No reduction in low-freq. source ripple current

Load dump

JSL 14

Switching Waveforms with 3-Phase Bridge Converter

Time

4.998ms 5.000ms 5.002ms 5.004ms 5.006ms 5.008ms 5.010msI(M1:d) I(M4:d)

-25A0A25A50A75A100A

V(M1:d)-V(M1:s) V(M1:g)-V(M1:s)-10V0V10V20V30V40V

I(Cin)-50A

0A

25A

50A

SEL>> 35 A

Ripple frequency = 300 kHz

Zero-voltage switching is achieved

JSL 15

Further Expansion to Six-Phase Bridge (V6) Converter

Sou

rce

Act

ive

Lo

ad

Rectifier+LC filterSix-phase bridge converter

HF ACXformer

20V>83A

JSL 16

Key Feature of V6 DC-DC Converter Soft switching with zero-current turn-on and lagging leg zero-voltage turn-on (ZCZVS)

High efficiency operation over a wide load range with a peak efficiency of 98%

Double output voltage with transformer connected in open -Y connection reduce turns ratio and associated leakage inductance

Interleaved multiple phase operation to eliminate input high-frequency current ripple cost and size reduction on input capacitor Cin

Output DC link inductor Lo current ripple elimination cost and size reduction on inductor

Low-frequency (single-phase inverter load) ripple reduction with active dual-loop control better utilization of source energy and size and cost reduction on input capacitor Cin

91%92%93%94%

95%96%97%98%99%

0 1 2 3 4 5 6Input Power (W)

Eff

icie

ncy

Home-madetransformerCommercial

transformer

C

B

A

A. Vin = 25 V using custom-made commercial transformerB. Vin = 50 V using custom-made commercial transformerC. Vin = 50 V using in-house developed transformer

JSL 17

Waveform Comparison between Full-Bridge and V6 Converters

Full Bridge Converter V6 Converter

iL

iL

vd

vd

Secondary inductor current is ripple-less; and in principle, no dc link inductor is needed

Secondary voltage swing is eliminated with <40% voltage overshoot as compared to 250%

JSL 18

Low-Frequency AC Current Ripple Problems

Inverter AC current ripple propagates back to fuel cell Fuel cell requires a higher current handling capability Cost penalty to

fuel cell stack Ripple current can cause hysteresis losses and subsequently more fuel

consumption Cost penalty to fuel consumption State-of-the-art solutions are adding more capacitors or adding an

external active filters Size and cost penalty The solution without cost penalty is to use existing V6 converter with

active ripple cancellation technique to eliminate the ripple No penalty

Lf

Cf RA

BVdc

+

Sap

San Sbn

Sbp

Vo

+

60Hz

120Hz

AC filter LC

High-side cap.

DC-DCconverter

120Hz

Fuel Cell

JSL 19

Active Ripple Cancellation Technique

vref+–

Rv2Cv1

Cv2

Rv1

Hv

vsense

Vo

+

−RL

Gvc

+–

Vm

PWMd

Lf

Cf

Vd

iLf+–

Rcf+–

Ri2Ci1

Hi

iref

Ri1

isense

Ci2

Gic Vd = dVin

Adding a current loop to regulate the output current

iac (20A/div) 12.7A rms

iac (20A/div) 12.7A rms

iin (20A/div) 168A avg

iin (20A/div) 162A avg

iL (10A/div)iL (10A/div)

vin (10V/div) 20V avg

vin (10V/div) 20V avg

(a) Without ripple reduction (b) With ripple reduction

JSL 20

2. Energy Management Using Bidirectional DC/DC Converter

Fuel Cell, PV, or

HV Battery

LoadDC/DC

converterInverter

DC Bus

Vdc

Iac

feedbacks

Bidirectional dc/dc

converter

Vac

Vbatt• Low voltage battery or super

capacitor controlling DC bus through a bidirectional dc/dc converter.

• The main application is to help start-up and transient conditions for EV, HEV, fuel cell PCS, etc.

LV battery or super capacitor

JSL 21

Circuit Diagram of a 4-Phase Bidirectional DC-DC Converter with Coupled Inductors

• Multiphase interleaved to reduce input and output capacitor current ripples

• Coupled inductors effectively increase the inductance or reduce the core size

• Hard or soft switching can be configured depending on inductor size and switching frequency

L12

L34

S1u S2u

S2d

S3u

S4dVlow

Chigh

S4u

S1d S3d

1=0°

3=90°

2=180°

4=270°

i1

i2

i3

i4

Clow

Vhigh

JSL 22

Timing Diagram of 4-Phase Bidirectional DC-DC Converter

S1u

D D’

S1d

S3u

S2u

S2d

S3d

S4u

S4d

Ts/4

Ts/2Ts

180°

180°

complementary

complementary

complementary

complementary

90°

1.5 kW, 24-48V50 kW200-400 V

JSL 23

Test Setup of a 1.5-kW Bidirectional DC-DC Converter Using Ultra-capacitor and ABC-150

UltracapacitorPack

BidirectionalDC/DC

Converter

ABC-150Channel 2

Voltage Mode

Remote Operating

System

Data AcquisitionCard (NIDAQ)

Screw Terminal Connector Block

Test Computer (PC)

V1

+

–V2

+

I1 I2

• Both channels alternate between sinking and sourcing current • The magnitude of the current is based off of the power

command given to the converter.

36 V 48 V

JSL 24

Boost Mode : 1.5-kW Output Power

Input Voltage

36-V

Output Voltage

48-V

Phase Current 10.42-A

Command1.5-kW

Input Current

41.67-A

Output Voltage

Input Voltage

Input Current

JSL 25

Experimental Results of Bidirectional Charging Mode Transition Operation

Input Current

Input Current

Output Current

Output Current

Command Command

In/Out Voltages

In/Out Voltages

JSL 26

Continuous and Discontinuous Conducting Modes (CCM and DCM)

CCM operation

DTs D’Ts

iL

t

L

VV lowhigh L

VlowIpk

iL

t

L

VV lowhigh

L

Vlow

Ipk+

DCM operation

D1Ts D2Ts D3Ts

Iavg

Iavg

RDT

RDT

L ss 22 )1(2

'2

RDT

RDT

L ss 21

22 )1(

22

CCM occurs with • Larger inductance L• Smaller R (heavy load)• Higher switching frequency

DCM occurs with • Smaller inductance L• Larger R (heavy load)• Lower switching frequency

JSL 27

CCM-DCM Boundary Mode and Synchronous Conducting Mode (SCM)

shi

lowlowpkpk T

V

V

L

VI

1

CCM-DCM Boundary operation

shi

lowlow

lowpk T

V

V

L

V

V

PI

1

2

DTs D’Ts

iL

t

L

VV lowhigh L

VlowIpk

iL

t

L

VV lowhigh

L

VlowIpk+

Ipk–

SCM operation

DCM-CCM features • Device turns on at zero current• Device turns off at twice the average

load current• Applicable to any dc-dc converters

SCM features • Device turns on at zero voltage• Device turns off at a current

higher than twice the average• Only applicable to bidirectional

dc-dc converters

Iavg Iavg

JSL 28

Simulated SCM Operated Voltage and Current Waveforms at 50 kHz Switching

Time

9.95ms 9.96ms 9.97ms 9.98ms 9.99ms 10.00msI(RLa)-I(RLb)-I(RLc)-I(RLd) -I(RLa) -I(RLb) -I(RLc) -I(RLd)

-10A

10A20A

30A40A50A60A70A

SEL>>

1 V(M17:g) 2 V(M17:d)20V

10V

0V

10V

20V

30V

40V

-200V

0V

100V

200V

300V

400V2

>>

Vds1-d=280VVgs1-d=15V

iL-all=57A average

iL1: 40 A pk-pk 16A pk-pk

ZVS

0 5010 20 4030

0

100

200

400300

–200

–100

vds

0

10

20

4030

–20

–10

vgs

Time (µs)

10

30

70

50

–10

iL3 iL4iL2

JSL 29

Experimental SCM Operated Voltage and Current Waveforms at 50 kHz Switching

iL: 40 A pk-pk

ZVS

vds-1dvgs-1d

iL-all=57A average 16A pk-pk

iL1 iL3 iL2 iL4

+15V

–5V

280V

DTsD’Ts

Time (5µs/div)

JSL 30

Multiphase Bidirectional DC-DC Converter with Coupled Inductor and SCM Operation

Similar to DCM operation, SCM has a high peak-to-peak inductor current.

With multiphase interleaved, the current ripples cancel each other, and the total current can be significantly reduced.

Device can switch at true zero voltage conduction, thus it is better to use power MOSFET as the switching device.

Turn-off loss can be reduced with a paralleled capacitor (resonant capacitor) across the device.

Coupled inductor allows core loss reduction and increases equivalent inductance.

Overall efficiency can be very high with proper design of inductor and selection of device.

JSL 31

Efficiency of Bidirectional DC-DC Converter Operating in Synchronous Conduction Mode

97.0%

97.5%

98.0%

98.5%

99.0%

99.5%

100.0%

0 5 10 15 20 25 30 35 40 45 50

With 22-kHz frequency

Vlow = 240V, Vhigh = 400V

Power (kW)

Effi

cien

cy (

%) With 20-kHz frequency

• Use two identical 4-phase converters with regenerative connection to measure losses

• One converter operates in buck mode, and the other operates in boost mode

• The total supply power is the loss of two converters, but the output voltage and current are actual load condition.

• Measured peak efficiency exceeds 99.1% at 20 kHz switching.

JSL 32

Possible Efficiency Improvement with Variable Frequency Control

95

96

97

98

99

100

0 5 10 15 20 25 30

20kHz40kHz 30kHz50kHz18kHz

Power (W)

Effi

cien

cy (

%)

• If high efficiency at light load is desired, it is possible to vary the switching frequency.

• High frequency at light load allows much reduced peak current, thus increasing the efficiency.

• Experimental results showed that >99.2% at 50 kHz switching was achieved.

JSL 33

3. High Voltage Conversion Ratio ReboostConverters

Vo=VC1+VC2

• Non-isolated output with high boost ratio

• Suitable for low input voltages such as fuel cells and solar cells

• Significant reduction on switch voltage stress

D

Dn

V

V

in

o

1

1

Flyback

Boost

L

+

Vin

C1

Q1

D11:n

g

+

D2

C2

L+

Vin C

Q1

D11:n

gV1

+

L

C+

V2

Q1

D2

g

s

d

+

Vin

JSL 34

Reboost Converter Operating Modes

Llk1

+

Vin Co

Q1

D11:n

g

+D2

C2

Vo

LM Llk2 Llk1

+

Vin Co

Q1

D11:n

g

+D2

C2

Vo

LM Llk2 Llk1

+

Vin Co

Q1

D11:n

g

+D2

C2

Vo

LM Llk2

(a) Initially, Q1 is off, magnetizing inductor current continues circulating to supply the secondary current. The boost capacitor C2 is discharging to output capacitor Co through diode D1 and Llk2. D2 is off. Vo = VC2+n·VLM. VLk2 = n·VLM = n·Vin. Current in Llk1 reflects the current in Llk2.

(b) Switch Q1 turns on. With reverse biasing, current in D1 starts reducing. Lm is charged. Voltage across Llk2 is VLk2 = n·VLM = Vo–VC2. Since VLM = Vin, VLk2 = nVin.

(c) Current in D1 drops to 0. For non-ideal diodes, there will be a reverse recovery period. Capacitor Co has been charged by sum of voltage across Llk2 and C2. Vo=VC2+nVin. Device Q1 is fully turned on, and Lm current is increasing.

(d) Switch turns off, diode D2 is turned on, and C2 gets charged. After C2 is fully charged, diode D2 will be turned off. Current in Lk2 starts increasing until it reaches steady state.

Llk1

+

Vin Co

Q1

D11:n

g

+D2

C2

Vo

LM Llk2

(a) (d)(c)(b)

JSL 35

Derivation of Voltage Conversion Ratio for the Reboost Converter

• Assume capacitors are large enough that their voltage maintains constant during steady-state operation. Also assume the transformer windings are perfectly coupled.

• During off period (Mode-a and Mode-d), V·s of Lk2 is D’·VLk2. With V·s balance, D’·VLk2= n·D·Vin. Thus VLk2 = n·D·Vin/D’, and VC2 = Vin/D’.

• During on period (Mode-c), Vo = VC2 + nVin. With constant VC2,

ininLkCo VD

nD

D

Dn

DVVVV

'

1

''

122

D

nD

V

V

in

o

1

1The voltage conversion ratio becomes

Actual voltage conversion ratio will be slightly lower with non-perfectly coupled transformer.

JSL 36

0

5

10

15

20

25

30

35

40

0.2 0.3 0.4 0.5 0.6 0.7 0.8

Voltage Conversion Ratio of Reboost DC-DC Converter

Duty cycle

Vol

tage

con

vers

ion

ratio

n=8

n=2

n=4

Boost converter case

Reboostcases

JSL 37

Further Derivation – Recharged Boost Converter

ino VD

DnV

1

1

ino VD

nV

1

2

(a) Reboost converter:• Treat flyback as coupled-

inductor converter

(b) Recharged-boost converter: • Add D3 and C1.• when Q1 turns on, C1 is

charged through D3 and L2.

L

+

Vin

C1

Q1

D11:n

g

+

D2

C2

+

VinCoQ1

D1

g

+D2

C2

L1 L2

+

VinCoQ1

D1

g

+D2

C2

D3

C1L1 L2

JSL 38

Basic Operating Principle of Recharge-Boost Converter

(a) Initially, Q1 is off, magnetizing inductor current charges boost capacitor C2 through diode D2 and output capacitor Co through C1, L2, and D1. D3 is off. Vo = Vin+VLm+VC1+n·VLm. VC2 = Vin+VLm. VL2 = n·VLm. Current in L1 reflects the current in L2.

(b) Switch Q1 turns on. D2 is turned off. Lm is charged. Voltage across L2 is VL2 = n·VLm = Vo–VC1. Since VLm = Vin, VL2 = nVin. With reverse biasing, current in D1 starts reducing.

(c) Current in D1 drops to 0. For non-ideal diodes, there will be a reverse recovery period. Capacitor C1 is charged by sum of voltage across L2 and C2. VC1=VC2+nVin. Device Q1 is fully turned on, and Lm current is increasing.

(d) Switch turns off, diode D2 is turned on, and C2 gets charged with VC2=Vin+VLm. D3 is now reverse-biased, and its current starts reducing. Current in L2 starts reversing until it reaches 0. There will be a reverse recovery period due to non-ideal D3. After that, the mode returns to Mode (a).

+ Co

Q1

D11:n

+

D2 C2

D3

C1 Vo

Vin

Lk1 Lk2

Lm

+

L2L1

+ Co

Q1

D11:n

+

D2 C2

D3

C1 Vo

Vin

Lk1 Lk2

Lm

+

L2L1

+ Co

Q1

D11:n

+

D2 C2

D3

C1 Vo

Vin

Lk1 Lk2

Lm

+

L2L1

+ Co

Q1

D11:n

+

D2 C2

D3

C1 Vo

Vin

Lk1 Lk2

Lm

+

L1 L2

(a) (b) (d)(c)

JSL 39

Derivation of Voltage Conversion Ratio

• Assume capacitors are large enough that their voltage maintains constant during steady-state operation. Also assume the transformer windings are perfectly coupled.

• During off period (Mode-a and Mode-d), V·s of L2 is D’·VL2. With V·s balance, D’·VL2 = n·D·Vin. Thus VL2 = n·D·Vin/D’, and VLm = D·Vin/D’ VC2 = Vin + D·Vin/D’ = (1+D/D’)Vin = Vin/D’.

• During on period (Mode-c), VC1 = VC2 + nVin. With constant VC2, VC1 = (1/D’+n)Vin. • Again with VC1 being constant, under Mode-a condition, we have

''

2

')

'

1(

'

1212 D

n

DV

D

Dnn

DDVVVVV ininLCCo

D

n

V

V

in

o

1

2The voltage conversion ratio becomes

Actual voltage conversion ratio will be slightly lower with non-perfectly coupled transformer.

boost flybackrecharge+

Co

Q1

D11:n

+

D2 C2

D3

C1Vo

Vin

Lk1 Lk2

Lm

+

L1 L2

JSL 40

0

510

15

20

2530

35

4045

50

0.2 0.3 0.4 0.5 0.6 0.7 0.8

Voltage Conversion of Recharged Boost Converter

Duty cycle

Vol

tage

con

vers

ion

ratio

Boost converter case

Reboost case with n=8

Reboost case with n=4

Reboost case with n=2

Recharge boost case with n=8

Recharge boost case with n=4

Recharge boost case with n=2

JSL 41

5.980ms 5.984ms 5.988ms 5.991ms

A

A

A

A

V(M1:g) V(M1:d)

V

V

V

V

V(Vy)-V(Vx) V(Vc) V(Vo)

V

V

V

I(D3) I(D1)

A

A

A

A

V(TX1:1)-V(TX1:2) V(TX1:4)-V(TX1:3)

V

V

V

V

>>

Key Voltage and Current Waveforms of Recharged-Boost Converter

Vo

Vc1

IL2

VQ1

IL1

Vgs

ID3

ID1

• Slow turn-off of D1 and D3 shows problem of reverse recovery (SiCSchottky diodes may be used).

• With limited duty cycle range, C2

voltage can be limited, and Si Schottky can be used for D2.

• With large enough capacitors, voltages of capacitors are flat during steady-state operation.

ILm

Vc2

VL1

VL2

+

Co

Q1

D11:n

+

D2 C2

D3

C1Vo

Vin

Lk1 Lk2

Lm

+

L1 L2

JSL 42

Design Examples with High Boost Ratio DC-DC Converters

Boost converter

Reboost converter

Recharge boost converter

+

VinCoQ1

D1

g

+D2

C2

D3

C1L1 L2

+

VinCoQ1

D1

g

+D2

C2

L1 L2

Reboost converter Recharge boost converter

Q1filterPV

array

D1L1

Boost converter Inverter

JSL 43

Voltage Conversion Ratio and Duty Cycle Constraint

At 10V, Gv = 200/10 = 20, at 20V, Gv = 10

At 60V, Gv = 200/60 = 3.33, 70V, Gv = 200/70 = 2.86

Assume duty cycle is limited to between 0.1 and 0.9

For boost converter case, D at 10 V needs to be 0.95 (difficult to implement)

The reboost converter with n = 8 case has the best suitable duty cycle range for the wide input voltage range case.

For recharge-boost converter with n = 0.58 case, D at 70V needs to be 0.10, not effective utilization of the switch.

PV input 70 V 60 V 20 V 10 V

Boost 0.65 0.70 0.90 0.95

Reboost (n = 8) 0.17 0.22 0.50 0.68

Recharge boost (n = 0.58) 0.10 0.21 0.742 0.87

Duty cycle at different PV voltages

JSL 44

Duty Cycle Comparison Between Boost and Reboost, and Recharge-Boost Converters

0

2

4

6

8

10

12

14

16

18

20

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1Duty

Vo

ltag

e g

ain

recharge boost with n = 0.58

reboostwith n = 8

boost converter

Duty cycle rangeBoost: 0.65 at 70 V to 0.95 at 10 V Reboost: 0.17 at 70 V to 0.68 at 10 VRecharge boost: 0.10 at 70 V to 0.87 at 10 V

• Boost needs to be excluded due to duty cycle constraint.

• Recharge boost works in theory, but fails in actual implementation at 10 V.

JSL 45

Switch Q1 Voltage Stresses

Both reboost and recharge-boost can be designed to maintain the voltage stress of C2 to below 100 V.

+

VinCoQ1

D1

g

+D2

C2

D3

C1L1 L2

+

VinCoQ1

D1

g

+D2

C2

L1 L2Q1 voltage stress is the voltage across C2 and can be calculated as the boost converter output.

inC VD

V

1

12

a. For boost case, At 10 V input, D = 0.95, VC2 = 200 V, At 70 V input, D = 0.21, VC2 = 200 V,

b. For reboost case with n = 8, At 10 V input, D = 0.68, VC2 = 31 V, At 70 V input, D = 0.17, VC2 = 84 V,

c. For recharge boost case with n = 0.6, At 10 V input, D = 0.87, VC2 = 78 V, At 70 V input, D = 0.10, VC2 = 78 V,

Vo

Vo

JSL 46

Turns Ratio versus Voltage Stress for the ReboostCase

D

nD

V

V

in

o

1

1

36.81

in

clampod

V

VVVn

Therefore, n = 8 should allow reasonable device voltage stress (85 V) and clamping diode voltage stress (700 V).

clampinclampininclampinino nVnVVVD

nVD

DnVV

D

nDV

DV

1

1

1

1

11

1

66.7

inclamp

clamp

inclamp

o

VV

V

VV

Vn

• Assume output diode D1 stress is limited to 700 V

inclampod nVVVV 1

Higher turns ratio, less voltage stress on switch, clamping diode, and clamping capacitor, but higher voltage stress on output diode and more transformer leakage inductance.

Assume Vo = 200 V, Vin_max = 70 V, and Vclamp_max = Vin_max/(1 – D) = 85 V

JSL 47

Simulation results of Voltage stress

With turns ratio n = 8, Vin = 70 V, Vo = 200 V, simulation results agree with the calculated voltage stress of active device and output diode.

Device voltage has small overshoot during turn-off. Additional margin is needed.

(a) Switch voltage (b) Output diode voltage

JSL 48

Simulated Voltages and Device Current at 70-V Input, 100-kHz Switching

0V

200V

SEL>>

V(M1:d)

0V

50V

100V

I(M1:d)

0A

25A

50A

V(M1:d)

>

I(M1:d)

0 1 2 3Time (µs)

4 5 0 1 2 3Time (µs)

4 5

Device voltage

Device current

Output voltage

C2 voltage

(a) Reboost (b) Recharge boost

200 V80 V

85 V 80 V

19 A 44 A

85 V

• Simulation results match the calculated results• Device voltage stress is nearly the same, but the current stress in

recharge boost is much higher due to smaller duty cycle

JSL 49

Diode Current Stresses for Reboost Converter• Assume capacitors and

magnetizing inductance are large enough that capacitor voltages and magnetizing current maintain constant throughout the entire steady-state cycle.

• Average output current Io = Po/Vo = 300/200 = 1.5 A

• At 20-V input, the average input current Iin = 300/20 = 15 A

• With duty cycle D = 0.5, the primary switch current is IQ1 = Iin/D = 22.5 A.

• The output diode current during switch turn-off period is ID1 = Io/D’ = 3 A.

I(D1)

I(M1:d) I(D2) I(Cc)

• Diode D2 conducts when the switch is turned off but only in a very short period to charge the capacitor C2. The peak current of D2 is the peak switch current, or ID2-peak = Isw-peak, but the average ID2 is very small.

5–5

352515

0

–2

4

20

10

2

0

30

0 8642 10Time (µs)

ID1

IQ1

ILM

ILk1

ID2

IC2

JSL 50

Two Phases Interleaved Recharge Boost Converter

+

Vin

CoQ1

Do1

+Dc1

Cc1

L11 L12

Dr1

Cr1

Vo

Q2

Do2

Dc2

Cc2

L21 L22

Dr2

Cr2

Ci

• Multiphase interleaved operation allows ripple reduction • Current sharing among phases is good for high power applications

JSL 51

Two-phase Interleaved Recharge Boost Converter with Cross Coupling

+

Vin

CoQ1

Do1

+Dc1

Cc1

L11 L12

Dr1

Cr1

Vo

Q2

Do2

Dc2

Cc2

L21 L22

Dr2

Cr2

Ci

L23

L13

• Cross coupling helps balance equal current sharing

JSL 52

Summary of State-of-the-Art High Boost Ratio DC-DC Converters

• Conventional boost converter simply cannot be considered as a high boost ratio converter.

• Reboost converter: • Requires high turns ratio for high boost ratio and low device

voltage stress. • High turns ratio tends to increase output diode voltage stress and

lower device utilization. • Recharge boost converter:

• Super high boost ratio with low turns ratio • Relatively low device voltage stress • Difficulty to operate in a wide range input voltage due to duty cycle

constraint at low input voltages • High peak current stress on switch when operating at high input

voltage where duty cycle is low

JSL 53

Charge Pump Reboost Converter

A new improved high boost ratio dc-dc converter is proposed using charge pump idea

Voltage boost ratio is reduced to allow a wider input voltage range while maintaining reasonable voltage stresses on devices

Direct charge pump allows L2 current to be regulated to avoid low-frequency ripple propagation back to the source

+

VinCoQ1

D1

g

+D2

C2 ino V

D

nDV

1

2

D3

C1L1 L2

+

VinCoQ1

D1

g

+D2

C2

ino VD

nV

1

2

D3

C1L1 L2

Vo

JSL 54

Basic Operation of the Charge Pump Reboost Converter

(a) Initially, Q1 is off, magnetizing inductor current charges output capacitor Co through C1, L2, and D1. D2 and D3 are off. Vo = Vin+VLm+VC1+n·VLm. VC2 = Vin+VLm. VL2 = n·VLm. Current in L1 reflects the current in L2.

(b) Switch Q1 turns on. D2 is turned off. Lm is charged. Voltage across L2 is VL2 = n·VLm = Vo–VC1. Since VLm = Vin, VL2 = nVin. With reverse biasing, current in D1 starts reducing.

(c) Current in D1 drops to 0. For non-ideal diodes, there will be a reverse recovery period. Capacitor C1 is charged by C2, so VC1=VC2. Device Q1 is fully turned on, and Lm current is increasing.

(d) Switch turns off, diode D2 is turned on, and C2 gets charged with VC2=Vin+VLm. D3 is now reverse-biased, and its current starts reducing. There will be a reverse recovery period due to non-ideal D3. After C2 is fully charged, the mode returns to Mode (a).

(a) (b) (d)(c)

L1

+ Co

Q1

D11:n

C2

D3

C1

+

Vo

D2

Vin

Lk1 Lk2

Lm

+

L2 L1

+ Co

Q1

D11:n

C2

D3

C1

+

Vo

D2

Vin

Lk1 Lk2

Lm

+

L2 L1

+ Co

Q1

D11:n

C2

D3

C1

+

Vo

D2

Vin

Lk1 Lk2

Lm

+

L2

+

Co

Q1

D11:n

+

D2 C2

D3C1 Vo

Vin

Lk1 Lk2

Lm

+

L1 L2

JSL 55

Voltage Conversion Ratio of Charge Pump ReboostConverter

• Assume capacitors are large enough that their voltage maintains constant during steady-state operation. Also assume the transformer windings are perfectly coupled.

• During off period (Mode-a and Mode-d), V·s of L2 is D’·VL2. With V·s balance, D’·VL2 = n·D·Vin. Thus VL2 = n·D·Vin/D’, and VLm = D·Vin/D’ VC2 = Vin + D·Vin/D’ = (1+D/D’)Vin = Vin/D’.

• During on period (Mode-c), VC1 = VC2 = Vin/D’. Under Mode-d condition, we have

''

2

''

1

'

1212 D

nD

DV

D

Dn

DDVVVVV ininLCCo

D

nD

V

V

in

o

1

2The voltage conversion ratio becomes

Actual voltage conversion ratio will be slightly lower with non-perfectly coupled transformer.

boost flybackcharge pump

JSL 56

Voltage Conversion Ratio and Duty Cycle Comparison

0

2

4

6

8

10

12

14

16

18

20

0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1Duty

Vo

ltag

e g

ain

recharge boost with n = 0.58

reboostwith n = 8

Charge-pump re-boost converter n = 2.7

Duty cycle range Reboost: 0.17 at 70V to 0.68 at 10 V Recharge boost: 0.10 at 70 V to 0.88 at 10 V Charge pump reboost: 0.16 at 70 V to 0.8 at 10 V (most suitable range)

JSL 57

0

2

4

6

8

10

12

0 20 40 60 80

Duty Cycle (%)

Vo

lta

ge

Ga

in (V

o /

Vin

)

Measured Gain Predicted Gain

Measured and Calculated Voltage Conversion Ratio

measured

calculated

• Measured voltage conversion ratio matches calculated one very well.

JSL 58

Measured Charge-Pump Reboost Converter Efficiency at Different Voltages

91.0

92.0

93.0

94.0

95.0

96.0

97.0

98.0

0 20 40 60 80 100 120

Eff

icie

nc

y %

% of rated load, 100% = 300W

15V 20V

25V 30V

40V 50V

60V 70V

VT test results with 100V FET, Vo = 200V, 85kHz, n = 2.7

JSL 59

Recap of Part A

A multiphase isolated DC-DC converter with peak efficiency of 98% and significant reduction on high-frequency ripples, thus allowing small-size, low-cost passive components to be used.

Low-frequency ripple is a major issue in maximum energy harness. An active cancellation technique was presented.

Super high efficiency (>99%) can be achieved with bidirectional dc-dc converter operating in synchronous conducting mode.

Different high boost ratio dc-dc converter circuits were presented to show how to design low-cost and high-efficiency converters for renewable energy such as solar panel integration applications.

JSL 60

???

Half-Time Break

JSL 61

Outline – Part B

Part A – High Efficiency DC-DC Converters1. High-Efficiency Low-Ripple Isolated DC-DC Converter

2. Energy Management Using Bidirectional DC/DC Converter3. High Boost Ratio DC-DC Converters

Part B – High Efficiency Inverters1. Half-Cycle Asymmetrical Unipolar PWM

2. Single-Stage Power Conversion

3. Dual Buck Converters

4. H5 Inverter

5. Isolated Single-Stage Design

6. Soft-Switching Inverters

Part C – Energy Efficiency Standards

JSL 62

Outline Part B-1

Part A – High Efficiency DC-DC Converters1. High-Efficiency Low-Ripple Isolated DC-DC Converter

2. Energy Management Using Bidirectional DC/DC Converter3. High Boost Ratio DC-DC Converters

Part B – High Efficiency Inverters1. Half-Cycle Asymmetrical Unipolar PWM

2. Single-Stage Power Conversion

3. Dual Buck Converters

4. H5 Inverter

5. Isolated Single-Stage Design

6. Soft-Switching Inverters

Part C – Energy Efficiency Standards

JSL 63

A Full-Bridge Inverter Circuit

JSL 64

Bipolar Sinusoidal PWM Method Vc: carrier wave vref: reference voltage

S1, S4

S2, S3

vab

vo

timeAlgorithm:

• If vref >vc, turn on upper device; otherwise, turn on lower device.

• If upper device is on then va0= vdc,; otherwise, va0= 0.• van = va0 – vdc/2;

JSL 65

Unipolar (Dual) Sinusoidal PWM Method

time

S1

S2

vab

S4

S3

vc vref-a vref-b

JSL 66

Detailed Waveforms of Unipolar PWM

0

0

Vdc

0

Vdc

0

Vdc

0

–Vdc

va0

vb0

vabSwitching frequency effectively doubled

TsVref-a

Vref-b

JSL 67

PWM Methods in Multi-Stage and Single-Stage Power Conversions

For dc voltage higher than the peak of ac output voltage, a simple dc-ac inverter can be used. However, for dc voltage lower than the peak of ac output voltage, multiple-stage (multiple high-frequency PWM stages) power conversion is needed to obtain the desired ac voltage.

It is possible to convert low-voltage dc to high-voltage ac with a single PWM stage dc-dc converter to obtain high-voltage dc and a polarity selection stage to obtain high-voltage ac.

AC/DCVin

+

HFPWM

DC/AC

HFXformer HF

SPWMDC/AC

VacVdc

High-frequency transformer

High-frequency switching

DC/AC inverter

AC/DCVin

+

HFPWM

DC/AC

Xformer LFDistri-butionDC/AC

Vac

High-frequency transformer

Low-frequency polarity selection

(b) Single-stage power conversion

(a) Multi-stage power conversion

JSL 68

A Typical Multi-Stage Power Conversion Using Voltage Source Push-Pull DC-DC Converter and Voltage

Source Full-Bridge DC-AC Inverter

dc/ac inverter

PV array ac

output

DC-DC converter

filter

Use voltage source type push-pull dc/dc converter to boost voltage

Entire module can operate independently with one PV array input and one ac output

Multiple ac module outputs can be parallel-connected to utility line

JSL 69

A Typical Multi-Stage Power Conversion Using Current Source Push-Pull DC-DC Converter and Voltage

Source Full-Bridge DC-AC Inverter

dc/ac inverter

PV array

+

Vdcac

output

push-pull boost converter

filter

Use current source type push-pull dc/dc converter to boost voltage

Entire module can operate independently with one PV array input and one ac output

Multiple ac module outputs can be parallel-connected to utility line

JSL 70

Single-Stage Inverter with Isolated Converter and a Matrix Converter for Low-Voltage PV Systems

Vin

+

HFPWM

DC/AC

Xformer

Vac

High-frequency transformer

• Low-voltage converter implements PWM • Transformer converts high-frequency low-voltage PWM to high voltage • A matrix converter or cycloconverter converts high-frequency ac to

low-frequency ac

ac output

filter

matrix converter

JSL 71

2. Basic Single-Stage Design Idea – A DC-DC Buck Converter + AC Selection Bridge

Features: High input voltage level Buck converter produces rectified SPWM Low frequency selection network produces ac SPWM output Use power MOSFET as the buck switch to reduce switching loss Use IGBT or thyristor as the low-frequency ac selection switch to

avoid reverse recovery loss

Vdc

Vac

LF distribution AC selection network

Buck stage

Filter

JSL 72

Basic Operating Modes of Buck Switch

(a) Positive cycle S1&S4on,S5on

(b) Positive cycle S1&S4on,S5 off, freewheeling

(c) Negative cycle S2&S3 on, M1 on

(d) Negative cycle S2&S3 on, M1off, freewheeling

S5 S5

S5S5

S1

S1

S1

S1

S3

S2

S2S2

S2

S3

S3 S3

S4

S4

S4

S4

• S5 is half-wave symmetrical PWM operated

• Positive cycle, S1and S4 are always on

• Negative cycle, S2 and S3 are always on

S1, S4

S5

S2, S3

vo

JSL 73

3. Dual Buck Type Inverter

Load

i1

i2

io

i2

i1

io

Features:• Use power MOSFET to reduce turn-off loss• Use ultrafast reverse recovery diode to reduce turn-on loss • No dead time and shoot-through concerns • The only issue is power flow is unidirectional, and the output current

must be in phase with the output voltage (reactive power output tends to have distorted current waveform)

Time

60ms 80ms 100ms50msI(RLa) I(RLb)

-20A

0A10A20A

SEL>>

I(RL)-20A-10A

0A10A20A

V(VaL)-200V-100V

0V100V200V vo

vo

JSL 74

Dual Buck Inverter with Dual Outputs

Load1

Load2

Load3

i1

i4

i3

i2

ia

JSL 75

Dual Boost and Dual Buck-Boost Inverters

(a) Double Boost Inverter (b) Double Buck-Boost Inverter

• Use power MOSFET to reduce turn-off loss• Use ultrafast reverse recovery diode to reduce turn-on loss • No dead time and shoot-through concerns

L1

L2

Vdc1

Vdc2

iL

vo

C

R+

C

iL

vo

CL1

L2

R+

Vdc1

Vdc2 C

JSL 76

Asymmetrical Half-Cycle Unipolar PWM

(a) Positive cycle S1 SPWM, S4 is always on

(b) Negative cycle S3 SPWM, S2 is always on

S1

S1

S1

S1

S3

S2

S2S2

S2

S3

S3 S3

S4

S4

S4

S4

S4

S1

S2

S3

vo

• Split previous buck switch S5 into two PWM operated buck switches, S1 and S3

• Positive cycle, S4 is always on, S1 runs in SPWM

• Negative cycle, S2 is always on, S3 runs in SPWM

JSL 77

4. Asymmetrical Half-Cycle Unipolar PWM Inverter with 5 Switches (H5TM Inverter)

Features:• Buck switch S5 produces rectified SPWM • IGBT’s S1 and S3 serve as low frequency selection network • MOSFET S2 operates in SPWM on negative cycle• MOSFET S4 operates in SPWM on positive cycle• Use fast recovery diode for S1 and S3 to reduce reverse recovery loss• S5 and S2 or S4 share half the DC bus voltage, allowing low-voltage switches

to be used in high voltage input

Vdc

Vac

LF selectionSPWM Buck stage

Filter

S1

S4S2

S3

S3S1

S6

S5

JSL 78

Operating Modes of H5TM Inverter

(a) Positive cycle S1, S4&S5on

(b) Positive cycle S1 on,S4and S5 off, freewheeling

(c) Negative cycle S3, S2&S5on

(d) Negative cycle S2 on, S3 and S5 off, freewheeling

S5 S5

S5S5

S1

S1

S1

S1

S2

S3

S3S3

S3

S2

S2 S2

S4

S4

S4

S4

S1

S4

S2

S3

vo

S5

JSL 79

Measured Gate Signals and Output Voltage Waveforms

S4

S3

S5

AC voltage (100 V/div)

• Experimental results verify the basic operation.

JSL 80

Measured H5 Inverter Efficiency

0.9500.955

0.9600.965

0.9700.9750.980

0.9850.990

0 1 2 3 4 5 6 7 8Power (kW)

Effi

cien

cy

• Use 2 CoolMOS parallel for S5 and S6. They are resistive element, so efficiency is high in low power region.

• Use slow IGBT but ultra fast diode, which can be replaced with SiCSchottky diode to further reduce the MOSFET turn-on loss.

Input: 420 VOutput: 240 V

JSL 81

5. Isolated Single-Stage Design

AC/DCVin

+

HFPWM

DC/AC

Xformer LFDistri-butionDC/AC

Vac

High-frequency transformer

Low-frequency switching inverter

• Low-voltage inverter implements symmetrical sinusoidal PWM • Transformer converts high-frequency SPWM to high voltage • Rectifier converts symmetrical SPWM to rectified SPWM • Low-frequency inverter selects the positive and negative cycles, same

as the non-isolated version

JSL 82

Enphase Active-Clamp Flyback Inverter

Q3

D2

D1

Sx2 S2

S1Sx1

Q1

Q2 Q4Q5

• Interleaved flyback converters serve as single-stage power conversion. MOSFET S1 and S2 are the main switches. Sx1and Sx2 are auxiliary switches for active clamp.

• Q1, Q2, Q3, and Q4 thyristors serve as polarity selection switches. Q1 and Q3 turn on during positive cycle. Q2 and Q4turn on during negative cycle.

• Q5 helps commutate thyristors under low dc bus voltage condition.

JSL 83

Measured Efficiency of Enphase Inverter

0.860.870.880.890.900.910.920.930.940.95

0 20 40 60 80 100 120 140 160

Power (W)

Effi

cien

cy

• Use SiC Schottky diode for D1 and D2 to reduce reverse recovery loss• Use low voltage drop thyristors as the polarity selection switch and

block reverse (high) voltage from utility• Use low conduction voltage drop CoolMOS Q5 to help turn off thyristors

at low voltage or zero voltage crossing.

JSL 84

Features of Single-Stage Power Conversion

Reduced power conversion stages with only one PWM stage needed, potentially low cost

High efficiency due to reduced PWM operation

Low frequency ripple propagates back to source without any buffer

A large capacitor bank is needed at the source to ensure maximum power tracking

JSL 85

6. Soft-Switching Inverters

Soft-Switching Basics

Zero-Voltage Switching Type Soft-Switching Inverters

Resonant Snubber Inverter

Coupled-Magnetic Type Zero-Voltage Switching Inverter

JSL 86

Issues with Device Switching

• Problems associated with conventional hard switching– High switching losses Poor

efficiency

– High dv/dt and di/dt Issues with Electromagnetic inference (EMI)

• Major switching losses– Diode reverse recovery induced turn-

on loss

– IGBT turn-off tail current induced turn-off loss

• Soft switching methods– Zero voltage switching (during turn-on)

– Zero current switching (during turn-off)

turn-on turn-off

devicepowerloss

conduction0

devicevoltage 0

devicecurrent 0

Waveforms Showing Device Switching

Behaviors

JSL 87

What’s Relationship Between Snubber and Soft-Switching?

• The traditional snubber uses Ls to limit the turn-on current rise and Cs to limit the turn-off voltage rise. Device losses were reduced, but the snubberlosses were significant. Here are some formula for loss estimation.

Ls

Cs

Llk

sdcsolks

s fVCILL

P2

3)2( 22 Snubber loss

Io

Turn-on loss slks

rdcon f

LL

tVP

)2(24

22

Ls

Cs

Vdc

Turn-off loss ss

fooff f

C

tIP

24

22

• Soft-switching is to do the same job that limits the current rise and voltage rise, but at the same time, to avoid the loss incurred in the snubbers.

JSL 88

Categories of Zero-Voltage Soft-Switching Inverters

Resonant DC Link Resonant PoleAuxiliary Switched Resonant Snubber

Ordinary Resonant Dc Link

Active-Clamp Resonant dc Link

Quasi-Resonant Dc Link

DC Rail Zero-Voltage Transition

Ordinary Resonant Pole

Clamp Mode Resonant Pole (CMRP)

Auxiliary Resonant Commutated Pole (ARCP)

Magnetic Coupled Zero-Voltage Transition

Y-Configured Resonant Snubber Inverter (Y-RSI)

-Configured Resonant Snubber Inverter ( -RSI)

Not easy to achieve 99% efficiency cost effectively

JSL 89

Auxiliary Resonant Commutated Pole (ARCP) Inverter

Lra

LrbVs

C1C3

C4 C6

Lrc

C5

C2

S1 S3 S5

S4 S6 S2Sc

Sb

SaCsp

Csn

R. DeDoncker, 1991

acmotor

Features: Standard PWM applicable Auxiliary switch sees half dc bus

voltage Small size resonant components

Disadvantages: Extra bulk energy storage capacitors Unbalanced capacitor voltages Need complicated control for zero-

voltage switching

JSL 90

Single-Phase Resonant Snubber Soft-Switching Inverter with One Inductor

Lr

Vdc

LoRo

C1

C2C4

S1

S2 S4Sr2

Sr1

ILr2

ILr1

IoIS1

IS3

D1

D2 D4

C3S3

D3

IS2

IS4Dr1

Dr2

a b

JSL 91

Operation Modes of the Single-Phase Resonant Snubber Soft Switching Inverter

S2,3 S1,4

IC1,4

Sr2

IC2,3

IS1,4

IS2,3

Io

ILr2

IC1,4

IC2,3

0

0

0

0

0

t0 t2 t3t4 t5 t6t1

Mode 0: t0 ~ t1

Lr1

VdcLoRo

S1

S2 S4Sr2

Io

S3

IS3

Dr1

Dr2Lr2

Sr1

Lr1

VdcLoRo

S1

S2 S4Sr2

ILr2

Io

S3

IS3

Dr1

Dr2Lr2

Sr1

Mode 1: t1 ~ t2

JSL 92

Operation Modes of the Single-Phase Resonant SnubberSoft Switching Inverter

S2,3 S1,4

IC1,4

Sr2

IC2,3

IS1,4

IS2,3

Io

ILr2

IC1,4

IC2,3

0

0

0

0

0

t0 t2 t3t4 t5 t6t1

Mode 2: t2 ~ t3

Lr1

VdcLoRo

S1

S2 S4Sr2

ILr2

Io

S3

IS3

Dr1

Dr2Lr2

Sr1

Lr1

VdcLoRo

S1

S2 S4Sr2

ILr2

Io

S3

IS3

Dr1

Dr2Lr2

Sr1

Mode 3: t3 ~ t4

JSL 93

Operation Modes of the Single-Phase Resonant SnubberSoft Switching Inverter

Mode 5: t5 ~ t6

Mode 4: t4 ~ t5

S2,3 S1,4

IC1,4

Sr2

IC2,3

IS1,4

IS2,3

Io

ILr2

IC1,4

IC2,3

0

0

0

0

0

t0 t2 t3t4 t5 t6t1

Lr1

VdcLoRo

S1

S2 S4Sr2

ILr2

Io

S3

IS4

Dr1

Dr2Lr2

Sr1

Lr1

VdcLoRo

S1

S2 S4Sr2

Io

S3

IS4

Dr1

Dr2Lr2

Sr1

JSL 94

Power Circuit of 3-Phase Couple-Magnetic Soft-Switching Inverter

CsVs acmotor

Sx3 Sx5

Sx4 Sx6 Sx2

Sx1

C1

C4

C3

S1

S4 S6 S2

S5S3

C6

C5

C2

Lra

Lrc

Lrb

Distinct design features: 1. Make turns ratio 1:n with n>1 to ensure zero-voltage

switching for a wide range operation2. Fix delay timing control to simplify controller design

JSL 95

Single-Phase Test Circuit and Basic Operation

Vdc

Sx2

Sx1

C1

C2

S1

S2

Lr

Load

VCE1

ILr Io

tdt: dead time from DSP controller (e.g. 2µs)

tdly: delay time (e.g. 1.5µs)tx = tdt – tdly= 0.5µs

Dx1

Dx2

1

n

S1

Sx1

S2

Sx2

tdt

tdlytdly

tdt

t0 t1t2 t3t4

iC1

iC2

iLr

vCE1

iD1

iS1

iLoad

vCE2dc

rLoad

V

LIt 2

2

dc

rLoad

V

LIt 11

t5

Lo

JSL 96

Illustration of Soft-Switching Operation

Vdc

Sx2

Sx1 C1

C2

S1

S2

ILoad

Dx1

Dx2

Lr1

Lr2

Vdc

Sx2

Sx1 C1

C2

S1

S2

ILoad

Dx1

Dx2

Lr1

Lr2

Vdc

Sx2

Sx1 C1

C2

S1

S2

ILoad

Dx1

Dx2

Lr1

Lr2

Vdc

Sx2

Sx1 C1

C2

S1

S2

ILoad

Dx1

Dx2

Lr1

Lr2

(a)

(c)

(b)

(d)

JSL 97

Soft-Switching Operation (cont’d)

Vdc

Sx2

Sx1 C1

C2

S1

S2

ILoad

Dx1

Dx2

Lr1

Lr2

Vdc

Sx2

Sx1 C1

C2

S1

S2

ILoad

Dx1

Dx2

Lr1

Lr2

(e) (f)

JSL 98

Inverter Photo Showing DC Bus Capacitor and Coupled Magnetic Connections

DSP interface

DC bus barResonant inductor Saturable inductor

JSL 99

Experimental Verification in One Resonant Cycle

-25A

0A

25A

50A

75A

100A

125A

150A

175A

200A

iLr

ILoadiLr1

iLr2

t(.5µs/div)

iLr (100A/div)

ILoad (100A/div)

vCE (200V/div)

vGE (20V/div)

t (0.5µs/div)

JSL 100

Experimental Results of Inverter Operation at 300-V Bus 69-A Load Current

iLr (100A/div)

ILoad (100A/div)

vCE (200V/div)

vGE (20V/div)

t(500µs/div)

JSL 101

Efficiency Test Results with 100-kW Compressor

90%

91%

92%

93%

94%

95%

96%

97%

98%

99%

100%

20 30 40 50 60 70 80 90

Inverter Input Power (kW)

Effi

cien

cy

JSL 102

Efficiency Test Results with a 5-kW Adaptive Timing Zero-Voltage Switching Inverter

91%92%93%94%95%96%97%98%99%

0 1 2 3 4 5 6Output Power (kW)

Effi

cien

cy (

%)

Hard switching

Fixed timing soft switching

Adaptive timing soft switching

• Fixed timing shows poor light load efficiency, worse than hard-switching case • At 20% load (1-kW), the efficiency improvement with variable timing is >3%. • High power output (>4.5 kW), the efficiency difference becomes less visible

but both soft switching shows better efficiency than hard switching case

Resonant inductors

Resonant capacitors

DC bus capacitors

DSP board

AC output

DC input

JSL 103

Features of the Auxiliary Commutated Resonant Snubber Inverters

Main switches turn on at zero voltage or under their anti-parallel diodes conducting condition;

Main switches turn off at a slower dv/dt rate and lossless snubbing condition;

Main switches do not have over-voltage or over-current stress; Auxiliary switches conduct only in a short period as compared to the PWM

cycle; Auxiliary switches turn on and off under zero current condition; Auxiliary switches need to carry high peak current, typically higher than the

rated load current; Free wheeling diodes across the main switches do not have reverse

recovery problems because their currents are diverted by the auxiliary resonant circuitry;

Auxiliary circuit diodes need to have very fast reverse recovery characteristic to prevent the resonant current from oscillation when it is swinging down across the zero point.

JSL 104

Recap for Part B

For energy applications, single-stage inverters have been actively studied and extended to different variations of high-efficiency inverter.

High efficiency commercial inverters (SMA and Enphase) are introduced.

Dual buck, dual boost, and dual buck-boost inverters show potential for high efficiency operation.

Soft-switching shows efficiency >99% for 3-phase high-power motor drives and >98% for 1-phase 5-kW grid-tie inverter.

JSL 105

Outline – Part C

Part A – High Efficiency DC-DC Converters1. High-Efficiency Low-Ripple Isolated DC-DC Converter

2. Energy Management Using Bidirectional DC/DC Converter3. High Boost Ratio DC-DC Converters

Part B – High Efficiency Inverters1. Half-Cycle Asymmetrical Unipolar PWM

2. Single-Stage Power Conversion

3. Dual Buck Converters

4. H5 Inverter

5. Isolated Single-Stage Design

6. Soft-Switching Inverters

Part C – Energy Efficiency Standards

JSL 106

Part C. Energy Efficiency Standards

California Energy Commission (CEC)

IEC 61683:1999, First Edition, 1999-11, Photovoltaic systems – Power conditioners – Procedures for measuring efficiency.

JSL 107

Efficiency of Alternative Energy Inverters – California Energy Commission (CEC)

All inverters must meet the requirements in EMERGING RENEWABLES EMERGING RENEWABLES PROGRAM, Final Guidebook, Eighth Edition, Section C Inverters.

There are no set minimum requirements, but the conversion efficiency must be tested and reported to CEC - as defined here.

JSL 108

IEC 61683:1999, Photovoltaic Systems – Power Conditioners Procedure for Measuring Efficiency

This standard describes guidelines for measuring the efficiency of power conditioners used in standalone and utility-interactive photovoltaic systems, where the output of the power conditioner is a stable systems, where the output of the power conditioner is a stable ac voltage of constant frequency or a stable dc voltage.

The efficiency is calculated from a direct measurement of input and output power in the factory.

An isolation transformer is included where it is applicable.

China: GB/T 20514-2006 is based on IEC 61683:1999

JSL 109

CEC and IEC Weighted Efficiency Measurement

0.200.05100%

00.5375%

0.480.2150%

0.100.1230%

0.130.0520%

0.060.0410%

0.0305%

IECCEC

JSL 110

Example Efficiency Measurement Results (A High-Boost Ratio DC-DC Converter Example)

JSL 111

Measured and Weighted Efficiency Plots

JSL 112

Summary of Power Electronics Design for Energy Efficiency at Different Levels

System level – Solar MagicTM, single-stage design

Circuit topology – soft switching converter/inverter, dual buck inverter, multilevel converter

Modulation scheme – phase-shift modulation, synchronous conduction mode

Power device – SiC diode, CoolMOS, hybrid switch

Combination of above – H5 inverters

Control strategy – maximum T/A and maximum efficiency for motor drives

JSL 113

Recap

High-efficiency and high-performance dc-dc converters were discussed in three categories: multiphase isolated dc-dc, bidirectional dc-dc, and high-boost ratio dc-dc converters.

High-efficiency dc-ac inverters were introduced in three categories: Dual buck, dual boost, and dual buck-boost inverters, Single-stage inverter for potential high-efficiency and low-

cost design Soft-switching inverters show promising efficiency for both

motor drive and energy applications.

Efficiency standards in US and Europe are introduced to show how to calculate weighted PCS efficiency.

JSL 114

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