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Seminar on Seminar on Improved Power Quality Improved Power Quality AC-DC Converters with AC-DC Converters with High Frequency Transformer Isolation High Frequency Transformer Isolation By By Prof. Bhim Singh Prof. Bhim Singh Department of Electrical Engineering Department of Electrical Engineering Indian Institute of Technology Delhi Indian Institute of Technology Delhi Hauz Khas, New Delhi-110016, India Hauz Khas, New Delhi-110016, India email:[email protected] email:[email protected] Ph.: (91)-011-2659-1045 Ph.: (91)-011-2659-1045

Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

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Page 1: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Seminar onSeminar onImproved Power Quality Improved Power Quality AC-DC Converters with AC-DC Converters with

High Frequency Transformer IsolationHigh Frequency Transformer Isolation

ByByProf. Bhim SinghProf. Bhim Singh

Department of Electrical Engineering Department of Electrical Engineering Indian Institute of Technology Delhi Indian Institute of Technology Delhi Hauz Khas, New Delhi-110016, IndiaHauz Khas, New Delhi-110016, India

email:[email protected]:[email protected].: (91)-011-2659-1045Ph.: (91)-011-2659-1045

Page 2: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

ClassificationClassification

Page 3: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Improved Power Quality AC-DC Converters with Improved Power Quality AC-DC Converters with High Frequency Transformer IsolationHigh Frequency Transformer Isolation

The control of DC-DC converter is done such as the input current wave shaping is achieved for AC-DC Diode converter.

The DC-DC converter can be operated in both DCM and CCM mode.

The control technique for DCM and CCM are different.

It works as voltage follower in DCM mode and there is no need of input voltage & current sensing for power factor correction.

Page 4: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

ApplicationsApplications

DC Power Supplies, Telecommunication Power Supply, Improved Power Factor ballast, Power Supplies for equipments like computers,

medical equipments, printers, scanners etc. Drives Applications with Power Factor Improvement

at AC side, Electrical Welding, Lighting such as ballasts, CFL etc.

Page 5: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck Boost Flyback Single-Phase Buck Boost Flyback AC-DC ConverterAC-DC Converter

vs

Ls

Cs Cd

HFT

Q

is

io

Vo+

LoadCo

Page 6: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck Forward Single-Phase Buck Forward AC-DC ConverterAC-DC Converter

vs

Ls

Cs Cd

HFT

Q

is

Lo

Vo+

LoadCo

io

Page 7: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck Push-Pull Single-Phase Buck Push-Pull AC-DC ConverterAC-DC Converter

vs Cd

HFT

Cs

Q1 Q2

Lois

Ls

Vo+

LoadCo

io

Page 8: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck Half-Bridge Single-Phase Buck Half-Bridge AC-DC ConverterAC-DC Converter

vs

Ls

Cs

Cd1

HFT

Cd2

Lo

is

Vo LoadCo+

io

Q1

Q2

Page 9: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck Full Bridge Single-Phase Buck Full Bridge AC-DC ConverterAC-DC Converter

vs Cs

Q1

Q2

Cd

Q3

Q4

Ld

isLs

HFT Lo

Vo LoadCo+

io

Page 10: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Boost Forward Single-Phase Boost Forward AC-DC ConverterAC-DC Converter

Lo ioHFT

vs

Ls

Cs

Ld

Cd

is

Q

D1

D2

Vo LoadCo+

Page 11: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Boost Push-Pull Single-Phase Boost Push-Pull AC-DC ConverterAC-DC Converter

LoHFT

vs

Ls

CsCd

+-

Ld

Rd

Q1 Q2

is

io

Vo LoadCo+

Page 12: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Boost Half-Bridge Single-Phase Boost Half-Bridge AC-DC ConverterAC-DC Converter

vs

Ls

Cs

Lo

HFT

Vo LoadCo+

is

Ld

Q2

Q1

io

Page 13: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Boost Full Bridge Single-Phase Boost Full Bridge AC-DC ConverterAC-DC Converter

vs Cs

Q1

Q2

Cd

Q3

Q4

HFT Lo

is

Ld

Vo+

LoadCo

io

Ls

Page 14: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck-Boost Cuk Single-Phase Buck-Boost Cuk AC-DC ConverterAC-DC Converter

vs

Ls

Cs

L1HFTC1

is

Q

L2C2 io

Vo+Co Load

Page 15: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck-Boost SEPIC AC-Single-Phase Buck-Boost SEPIC AC-DC ConverterDC Converter

vs

Ls

Cs

Ld HFTCd

Q

is

io

Vo+Co Load

Page 16: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck-Boost Zeta Single-Phase Buck-Boost Zeta AC-DC ConverterAC-DC Converter

Qvs Cs Cd

HFTis

C1

Co Load+

ioLs

Lo

Page 17: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-phase buck-boost flyback AC-DC converter in DCM

Page 18: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck Boost Flyback AC-DC Converter

Average current mode control in CCM operation

Page 19: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck Boost Flyback AC-DC ConverterFLYBACK Converter in DCM

average input current over a switching cycle is given as:

DI21i pk1 = (1)

where pkI is the peak of input current (that’s switch current) and D is the duty ratio. From Fig.1b pkI is given as:

1rm

spk v

LDT

I = (2)

where 1rv is rectified input voltage and mL is transformer magnetizing inductance referred to primary. From eqns (1) and (2), the input current is as:

1rm

s2

1 v2L

TDi = (3)

Page 20: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck Boost Flyback AC-DC ConverterDesign of Flyback Converter in DCM

Equation (3) presents nicely PFC operation in DCM. It is clear that if duty cycle and switching frequency is kept constant, then input current is a linear function of input voltage. Eqn. (3) can be written as:

tsinIi 11 ω= (4) where, tsinVv 11r ω= (5)

m

s2

11 2L

TDVI = (6)

Since input inductor current is nothing but the rectified ac mains current, thus from Eqn. (4), it is clear that by keeping the duty cycle and switching frequency constant, the average input current in flyback converter in DCM follows the input voltage exactly thus emulating a resistor and is known as voltage follower technique. Therefore, flyback converter behaves as an ideal current shaper, and performs current shaping automatically with no control when operating in DCM.

Page 21: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck Boost Flyback AC-DC ConverterDesign of Flyback Converter in DCM

The design of the converter depends whether it is working in discontinuous or continuous conduction mode. The transfer function of the flyback converter in DCM is given as:

nDDvV

1

1ro = (7)

where n is the turn ratio. From Fig. 1b, for DCM operation, the condition is: 1DD 1 <+ (8) From Eqns. (7) and (8), for the desired maximum duty ratio at minimum input voltage, turn ratio can be obtained by satisfying following inequality as:

o

1

VV

D)(1Dn−

> (9)

Page 22: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck Boost Flyback AC-DC ConverterDesign of Flyback Converter in DCM

In order to ensure DCM of operation at maximum load, following condition must be satisfied

2

1min

os

minLm

)VV

n1(4f

RL

+< (10)

where min1V is the peak value of minimum input voltage. minLR is the minimum value of load resistance and sf is the switching frequency. Output capacitor is selected on the basis of maximum peak-to-peak ripple in output voltage ( vr ) as:

Lv

oo Rr

>C (11)

Page 23: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck Boost Flyback AC-DC Converter

Design of Flyback Converter in DCM and CCM Stresses on semiconductor devices in DCM can be given by following equations, Peak current through switch is given as:

m

s1swpk L

DTVI = (12)

Peak voltage across switch is given as: o1swpk nVVV += (13)

Similarly, peak current through diode is as:

m

s1o2

diopk LTDVn

I = (14)

and peak voltage across the diode can be given as:

o1

diopk VnV

V += (15)

Page 24: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck Boost Flyback AC-DC Converter

Design of Flyback Converter in DCM and CCM For CCM operation, the transfer function is given as:

D)n-(1DvV 1r

o = (16) Thus in a similar manner as in DCM, for desirable maximum duty ratio, the turn ratio is determined. However, magnetizing inductance of the transformer is defined by satisfying the following inequality [6]:

2

1min

os

maxLm

)VV

(4f

RL > (17)

Referring Fig. 2b, switch current at half of the ripple is given as:

max1min

omaxswh ηDV

PI = (18)

Page 25: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck Boost Flyback AC-DC Converter

Design of Flyback Converter in DCM and CCM From Fig 2b, switch peak current for ripple swI∆ is given as:

2Iswpk

swswh

II ∆+= (19)

where ,

m

smax1minsw L

TDVΔI = (20)

Switch RMS current is given as: 2swswpksw

2swpkmaxswRMS ΔI

31IΔI[IDI +−= (21)

Similarly diode current at half of the ripple is given as:

)1(I

max

max

DI o

dh −= (22)

From Fig 2b, diode peak current for ripple dI∆ is given as:

2Idpk

ddh

II ∆+= (23)

where,

2

max )1(L

TDVI so

d−

=∆ (24)

Page 26: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck Boost Flyback AC-DC Converter

Specifications

Input: RMS1 220VV = , 50Hz, Single-Phase AC Supply Output: V110Vo = , 1kWPo = , Output voltage-ripple less than 2% Switching frequency 50kHz)2/(fs == πω s Design parameters for DCM Transformer turn ratio (n) 1.5:1, Magnetizing inductance H50Lm µ= , 1mHL f = ,

800nFC f = and 15mFCo = .

Page 27: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck Boost Flyback AC-DC Converter

Source voltage and current in DCM at

100% load

Steady state output voltage in DCM at 100% load

Page 28: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck Boost Flyback AC-DC Converter

Source voltage and current in CCM at

100% load

Steady state output voltage in CCM at 100% load

Page 29: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck Boost Flyback AC-DC Converter

TABLE IComparisons of Flyback Converter Operation in DCM and CCM

ComplexSimpleCircuit SimplicityLargeSmallSize of Converter

Average Current ControlVoltage Mode ControlControl Technique1.902.572.865.27RMS1.161.291.481.13Average3.9510.139.7614.5PeakNormalized Current

of Diode(pu)

1.141.351.622.87RMS0.670.540.710.93Average2.606.536.7325.1PeakNormalized Current

of Switch(pu)

1.45%0.52%1.73%0.55%Output Ripple0.9980.9890.9970.981PF4.4%11%5.1%12%Input Current THD

100% Load10% Load100% Load10% LoadCCM OperationDCM Operation

Quantity

Page 30: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck Boost Flyback AC-DC Converter

Test results of AC mains voltage, AC mains current, output DC voltage and output Test results of AC mains voltage, AC mains current, output DC voltage and output DC current waveform of AC-DC flyback converter for load perturbation response on DC current waveform of AC-DC flyback converter for load perturbation response on equivalent resistive load (60W to 200W to 60W). (Scale on X-axis 1div=20ms, Y-equivalent resistive load (60W to 200W to 60W). (Scale on X-axis 1div=20ms, Y-axis channel-1 1div =85V, channel-2 1div =5A, channel-3 1div= 100V, channel-4 axis channel-1 1div =85V, channel-2 1div =5A, channel-3 1div= 100V, channel-4 1div= 2A)1div= 2A)

V s (V

) , i s

(A)

Vdc

(V)

I dc (A

)

Page 31: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck-Boost Cuk AC-DC Converter in DCM

Page 32: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Cuk AC-DC Converter Inductors voltage and current waveforms in DCM

Page 33: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Cuk AC-DC Converter CCM operation

Page 34: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Cuk AC-DC Converter Inductors voltage and current waveforms in CCM

Page 35: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Cuk AC-DC Converter in DCM Operation

To simplify the analysis, all quantities are referred to the primary side of the transformer. Volt-second balance on the inductor gives following equality:

11r

odd

v'v

= (1)

where 'vo and 1rv are output voltage (referred to primary) and rectified input voltage respectively. d is the duty ratio and d1 is the off period of switch, during which inductor currents decrease linearly. Assuming 100% efficiency for simplification, the current ratio is:

12

1dd

'ii

= (2)

where 1i and 'i2 are the input inductor current and output inductor current referred to primary side of the transformer.

Page 36: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Cuk AC-DC Converter in DCM

First stage of Operation When switch is on, two inductor currents increase linearly with the voltage across them equal to input voltage. The equations of input and output inductor currents for the interval sdTt0 << (referring to Fig. 1b(i)) are given by:

tLv

ii1

1r1 += (3)

t'L

vi'i

2

1r2 +−= (4)

where i is the minimum input inductor current. • Second Stage of Operation When switch is off, inductor currents decrease linearly with voltage across them equal to output voltage. Referring to Fig. 1b(ii) and Fig. 1c, inductor currents are given by:

idTLv

tL

'vi s

1

1r

1

o1 ++−= (5)

idT'L

vt'L'v

'i s2

1r

2

o2 −+−=

Page 37: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Cuk AC-DC Converter in DCM

Third stage of Operation This is the stage when the diode current is zero. Averaged input and output inductor currents over a switching period can be given by [1]:

i)d(ddT2Lv

i 1s1

1r1 ++= (7)

i)d(ddT'2L

v'i 1s

2

1r2 −+= (8)

Sum of the input and output inductor currents is given by: d

dd1dT

Lv

21'ii 1

seq

1r21

+=+ (9)

where, 'LL'LLL21

21eq +

= (10)

Page 38: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Cuk AC-DC Converter in DCM

By substituting the expression in eqn. (2) in to eqn. (9), we get:

ddd1dT

Lv

21

dd1 1

seq

1r11

+=

+i (11)

After simplification it gives:

eq

s2

1r1 2L

Tdvi = (12)

It can be written as: tsinIi 11 ω= (13)

where, tsinVv 11r ω= (14)

eq

s2

11 2L

TdVI = (15)

Page 39: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Cuk AC-DC Converter Average and peak currents in the semiconductors

and input inductor Average current ( avswi ) and peak current ( pkswi ) of the MOSFET switch over a switching cycle are as:

).d'I(I2Td

-Lvi 2max1max

s2

eq

1ravsw ++

= (16)

)'I(Ii 2max1maxpksw += (17) where 1maxI and 'I2max are the maximum value of input inductor current and output inductor current (referred to primary) respectively. Average current ( 'i avd ), and peak current ( 'i pkd ) of the diode (all referred to primary) are as:

d)-).(1'I(I2Td

Lv

'i 2max1maxs

2

eq

oavd ++

= (18)

)'I(I'i 2max1maxpkd += (19)

Page 40: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Cuk AC-DC Converter Average and peak currents in the semiconductors

and input inductor

Peak voltage across switch ( pkswV ) and diode ( 'V pkd ) (referred to primary) is given as:

'VV'VV oinmaxpkdpksw +== (20) The average current ( avL1i ) and RMS current ( rmsL1i ) of input inductor are as:

π2I

i 1maxavL1 = (21)

2I

i 1maxrmsL1 = (22)

Page 41: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Cuk AC-DC Converter Design Description in DCM and CCM

Step 1: Conversion ratio Defining the dc voltage conversion ratio (M) as,

1r

ovVM = (23)

where, tsinVv 11r ω= (24) For °= 90tω , conversion ratio is obtained as the first step of the design. Here 1V is the peak value of input voltage. Step 2: Condition for operation in DCM and CCM Design must ensure the DCM operation, for which following inequality must hold good:

2en)2(M

1K+

< (25)

where eK is the conduction parameter and n is the transformer primary to secondary turn ratio.

Page 42: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Design Description in DCM and CCM

For CCM, following condition must be satisfied to ensure the continuous conduction mode of operation:

2en)2(M

1K+

> (26)

eK is calculated for minimum value of M which occurs at minimum output voltage and maximum input voltage in CCM for given range of specification.

Step 3: Equivalent inductance ( eqL ) which is the parallel combination of 1L and 'L2 , is given as:

2TRK

L sLeeq = (27)

where LR is the load resistance. Step 4: Duty Ratio The duty ratio for the given power (load resistance) in DCM is obtained by:

eKM2d = (28)

Page 43: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Design Description in DCM and CCM

Step 5: 1L and 'L2 Design 1L can be obtained by considering the specified maximum current ripple for

DCM as:

i

eq1 dr

2LL = (29)

where ir is p.u. ripple current. 'L2 can be obtained using expressions for 1L and eqL in eqns. (29) and (10)

respectively. Similarly, for CCM 1L and 'L2 can be obtained by specified maximum current ripple allowed and eqn. (10).

Page 44: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Design Description in DCM and CCM Step 6: Design of energy transfer capacitor C1

It has great influence on input current waveform. To avoid input current oscillations at every line half cycle, it is given by:

)'L(L1C

212

r1

+=

ω (30)

where, srL ωωω << Resonant frequency ( rω ) should lie between line frequency ( Lω ) and switching frequency ( sω ). Step 7: Output Capacitor Output capacitor is chosen according to specified ripple allowed in the output voltage. It can be achieved by following formula:

minLvLo Rr

1Cω

= (31)

where vr is the pu ripple in the output voltage and minLR is the minimum load resistance.

Page 45: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Cuk AC-DC ConverterSpecifications

Input: RMS1 270V160V −= , 50Hz, Single-Phase AC Supply Output: 132V98Vo −= adjustable with nominal value of 120V , 2.6kWPo = Output voltage-ripple less than 2% Switching frequency 50kHz)2/(fs == πω s Design parameters for DCM mode: Transformer turn ratio (n) 1:1, H1500L1 µ= , H4.3L2 µ= , F2.5C1 µ= ,

F10C2 µ= , and 30mFCo = .

Page 46: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck-Boost Cuk AC-DC Converter

Source voltage and current in DCM at 100% load

Steady state output voltage in DCM at 100% load

Page 47: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck-Boost Cuk AC-DC Converter

Steady state output voltage in CCM at 100% load

Source voltage and current for 100% load in CCM

Page 48: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck-Boost Cuk AC-DC Converter

TABLE IComparisons of Cuk Converter Operation in DCM and CCM at Full Load

ComplexSimpleCircuit SimplicityLargeSmallSize of ConverterAverage Current ControlVoltage Mode ControlControl Technique60A170APeak Current Through Device1.67%1.83%Ripple Factor0.9975 to 1.00.998 to 1.0PF3.8%5.5%Input Current THD

CCM OperationDCM OperationQuantity

Page 49: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck-Boost Cuk AC-DC Converter

Test results of AC mains voltage, AC mains current, output DC voltage and output Test results of AC mains voltage, AC mains current, output DC voltage and output DC current waveform of AC-DC cuk converter for load perturbation response on DC current waveform of AC-DC cuk converter for load perturbation response on equivalent resistive load (60W to 200W to 60W). (Scale on X-axis 1div=20ms, Y-equivalent resistive load (60W to 200W to 60W). (Scale on X-axis 1div=20ms, Y-axis channel-1 1div =175V, channel-2 1div =5A, channel-3 1div= 100V, channel-4 axis channel-1 1div =175V, channel-2 1div =5A, channel-3 1div= 100V, channel-4 1div= 1.75A)1div= 1.75A)

VVs s (V

)(V

) , , ii ss(A

)(A

)VV

dc

dc (V

)(V

)II dc

dc

(A)

(A)

Page 50: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase SEPIC AC-DC Converter in DCM

Page 51: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase SEPIC AC-DC Converter in DCM

Page 52: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase SEPIC AC-DC Converter inCCM

Page 53: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase SEPIC AC-DC Converter inCCM

Page 54: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase SEPIC AC-DC ConverterSpecifications

Input: RMS1 230VV = , 50Hz, Single-Phase AC Supply

Output: V110Vo = , kW5.1Po =

Output voltage-ripple less than 2%

Switching frequency 50kHz)2/(fs == πω s

Transformer turn ratio (n) 1:1, H1200L1 µ= ,

H1.8L2 µ= , F1C1 µ= , and 30mFCo = .

PI controller parameters: gain = 0.308,

time constant = 0.03.

Page 55: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase SEPIC AC-DC Converter in DCM

Source voltage and current in DCM at 100% load

Steady state output voltage in DCM at 100% load

Page 56: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase SEPIC AC-DC Converter in CCM

Source voltage and current in CCM at 100% load

Steady state output voltage in CCM at 100% load

Page 57: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase SEPIC AC-DC ConverterTABLE I

Comparisons of SEPIC Converter Operation in DCM and CCM

ComplexSimpleCircuit SimplicityLargeSmallSize of Converter

Average Current ControlVoltage Mode ControlControl Technique1.56pu1.68pu3.34pu7.22puRMS0.98pu0.93pu1.27pu1.47puAverage3.15pu3.17pu10.94pu15.2puPeakNormalized Current

of Diode

1.39pu1.50pu2.18pu4.60puRMS0.78pu0.71pu0.77pu0.76puAverage3.14pu3.24pu9.84pu14.50puPeakNormalized Current

of Switch

0.1%1.1%1.27%0.22%Output Ripple

0.9950.9980.9970.994PF8.5%3.8%6%10%Input Current THD

100% Load10% Load100% Load10% LoadCCM OperationDCM Operation

Quantity

Page 58: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase SEPIC AC-DC Converter

Test results of AC mains voltage, AC mains current, output DC voltage and output Test results of AC mains voltage, AC mains current, output DC voltage and output DC current waveform of AC-DC sepic converter for load perturbation response on DC current waveform of AC-DC sepic converter for load perturbation response on equivalent resistive load (60W to 200W to 60W). (Scale on X-axis 1div=20ms, Y-axis equivalent resistive load (60W to 200W to 60W). (Scale on X-axis 1div=20ms, Y-axis channel-1 1div =150V, channel-2 1div =5A, channel-3 1div= 100V, channel-4 1div= channel-1 1div =150V, channel-2 1div =5A, channel-3 1div= 100V, channel-4 1div= 1.75A)1.75A)

VVs s (V

)(V

) , ,

ii ss(A)

(A)

VVdc

dc

(V)

(V)

II dc

dc

(A)

(A)

Page 59: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck-Boost Zeta AC-DC Converter in DCM

Page 60: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck-Boost Zeta AC-DC Converter in DCM

Page 61: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck-Boost Zeta AC-DC Converter in CCM

Page 62: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck-Boost Zeta AC-DC Converter in CCM

Page 63: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Zeta AC-DC ConverterSpecifications

Input: RMS1 220VV = , 50Hz, Single-Phase AC Supply

Output: Vo = 48V, 1kWPo = , output voltage-ripple less

than 2%

Switching frequency 50kHz)2/(fs == πω s

Transformer turn ratio (n) 5:1, Magnetizing

inductance mL =100μH , fL =3mH , oL =10mH

1C =10μF , oC =22mF, and fC =100nF .

Page 64: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck-Boost Zeta AC-DC Converter in CCM

Steady state output voltage in DCM at 100% load

Source voltage and current in DCM at 100% load

Page 65: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Buck-Boost Zeta AC-DC Converter in CCM

Steady state output voltage in CCM at 100% load

Source voltage and current for 100% load in CCM

Page 66: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Zeta AC-DC ConverterII dc

dc

(A)

(A)

Test results of AC mains voltage, AC mains current, output DC voltage and output Test results of AC mains voltage, AC mains current, output DC voltage and output DC current waveform of AC-DC zeta converter for load perturbation response on DC current waveform of AC-DC zeta converter for load perturbation response on equivalent resistive load (60W to 200W to 60W). (Scale on X-axis 1div=20ms, Y-equivalent resistive load (60W to 200W to 60W). (Scale on X-axis 1div=20ms, Y-axis channel-1 1div =150V, channel-2 1div =3A, channel-3 1div= 100V, channel-4 axis channel-1 1div =150V, channel-2 1div =3A, channel-3 1div= 100V, channel-4 1div= 1.75A)1div= 1.75A)

VVs s (V

)(V

) , ,

ii ss(A)

(A)

VVdc

dc

(V)

(V)

Page 67: Improved Power Quality AC-DC Converters With High Frequency Transformer Isolation

Single-Phase Zeta AC-DC ConverterTABLE I

Comparisons of Zeta Converter Operation in DCM and CCM

ComplexSimpleCircuit SimplicityLargeSmallSize of Converter

Average Current ControlVoltage Mode ControlControl Technique4.575.375.4110.45RMS3.173.243.024.52Average8.7314.620.0136.90PeakNormalized Current

of Diode

0.951.041.712.15RMS0.620.451.010.92Average1.752.924.159.21PeakNormalized Current

of Switch

1.98%0.67%1.99%0.62%Output Ripple0.9980.9940.99750.993PF1.36%9.2%4.98%11%Input Current THD

100% Load10% Load100% Load10% Load

CCM OperationDCM Operation

Quantity

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