Chapter 8

Report
Chapter 8
Switching Power Supplies
“Introduction to Modern Power Electronics”, 2nd Ed., John Wiley 2010
by
Andrzej M. Trzynadlowski
1
Buck converter
L
ii
Vi
iD
vD
iL
io
iC
vo
C
Fig. 8.1
Chapter 8
2
Voltage and current waveforms in a buck
converter
iL
Io
t
iC
t
iD
t
ii
dTsw
Tsw
t
Vi
Vo
vD
t
Fig. 8.2
Chapter 8
3
Waveforms of the capacitor current and output
voltage in a buck converter
vo
Vo
B
0
IL A
iC
Q
C
t
T
2
Fig. 8.3
Chapter 8
4
Boost converter
L
iD
ii
Vi
iS
vS
io
iC
vo
C
Fig. 8.4
Chapter 8
5
Voltage and current waveforms in a boost
converter
ii
Ii
t
is
t
iC
t
iD
dTsw
Tsw
t
Vo
Vi
vs
t
Fig. 8.5
Chapter 8
6
Waveforms of the capacitor current and output
voltage in a boost converter
Vo
vo
iC
A
0
Io
C
DT
Q
T
t
B
Fig. 8.6
Chapter 8
7
Impact of the inductor resistance on the voltage
gain of a boost converter
25
.00
1
15
r L =0
VOLTAGE GAIN
rL =0
20
10
rL=0.005
5
r L=0.01
0
0.5
0.6
0.7
0.8
0.9
1.0
DUTY RATIO
Fig. 8.7
Chapter 8
8
Buck-boost converter
iD
iL
ii
Vi
io
iC
vL
L
vo
C
Fig. 8.8
Chapter 8
9
Voltage and current waveforms in a buck-boost
converter
iL
IL
t
ii
t
iC
t
iD
dTsw
Tsw
t
vL
Vi
t
Vo
Fig. 8.9
Chapter 8
10
Cuk converter
C1
L1
ii
Vi
iS
L2
iC1
vC1
vS
i L2
vL2
iD
i C2
vD
io
vo
C2
Fig. 8.10
Chapter 8
11
Waveforms of voltage and current in a C uk
converter
ii
Ii
t
i C1
t
i L2
Io
i C2
t
iD
t
iS
t
vS
Vi
t
vD
dTsw
Tsw
Vo
t
Fig. 8.11
Chapter 8
12
SEPIC (a) and Zeta (b) converters
C1
L1
ii
iD
iC1
iL2
iS
vS
Vi
io
iC2
L2
vo
C2
(a)
C1
vS
ii
Vi
L2
iC1
iL1
iD
io
iC2
vD
L1
iL2
C2
vo
(b)
Fig. 8.12
Chapter 8
13
Voltage and current waveforms in SEPIC and
Zeta converters
iC1
t
iL2
Io
t
ii
Ii
t
iD
t
iS
t
vS
dTsw
Vi + Vo
Tsw
t
Fig. 8.13
Chapter 8
14
Voltage and current waveforms in SEPIC and
Zeta converters
iC1
t
iL2
Io
t
ii
Ii
t
iD
t
iS
t
vS
dTsw
Vi + Vo
Tsw
t
Fig. 8.13
Chapter 8
15
Vorperian’s switch model
di C
0V
A
iC
C
dvAP
vAP
P
Fig. 8.14
Chapter 8
16
Averaged models of switched-mode dc-to-dc
converters with Vorperian’s switch model: (a) buck,
(b) boost, (c) buck-boost, (d) Cuk
A
VSM
C
C
VSM
P
A
(a)
A
VSM
P
(b)
P
C
A
P
VSM
C
(d)
(c)
Fig. 8.15
Chapter 8
17
Waveforms of the output voltage and current in
a buck converter: solid lines – actual converter,
dashed lines – averaged model
vo
io
t
0
Fig. 8.16
Chapter 8
18
Equivalent circuits of a transformer: (a) ideal
transformer,
(b)
transformer
with
the
magnetizing inductance included
i1
v1
i2
N1
v2
N2
(a)
i1
i2
i'2
im
v1
Lm
N1
N2
v2
(b)
Fig. 8.17
Chapter 8
19
Forward converter
D1
D3
L
N3
io
ii
N1
N2
D2
Vi
vo
C
Fig. 8.18
Chapter 8
20
Flyback converter
D1
io
ii
Vi
Lm
N1
N2
vo
C
Fig. 8.19
Chapter 8
21
Isolated Cuk converter
L1
C11
C12
L2
io
ii
Vi
N1
N2
vo
C2
Fig. 8.20
Chapter 8
22
Midpoint rectifier
vi
vo
v1
Fig. 8.21
Chapter 8
23
Push-pull converter
L
S1
io
D3
vo
C
D1
N1
N2
ii
Vii
D2
D4
S2
Fig. 8.22
Chapter 8
24
Half-bridge converter
ii
C1
Vi
D1
S1
D2
S2
N1
N2
D3
D4
C2
L
io
C
vo
Fig. 8.23
Chapter 8
25
Full-bridge converter
ii
S1
D1
Vi
D3
S3
D4
S4
N1
N2
D5
S2
D6
D2
L
io
C
vo
Fig. 8.24
Chapter 8
26
Voltage-mode resonant switches: (a) L-type
half-wave, (b) M-type half-wave, (c) L-type fullwave, (d) M-type full-wave
(a)
(b)
(c)
(d)
Fig. 8.25
Chapter 8
27
Current-mode resonant switches: (a) L-type
half-wave, (b) M-type half-wave, (c) L-type fullwave, (d) M-type full-wave
(a)
(b)
(c)
(d)
Fig. 8.26
Chapter 8
28
Waveforms of the inductor current and
capacitor voltage in an undamped resonant
circuit
vC
iL
iL ( t0 )
0
t
t0
vC ( t0 )
Fig. 8.27
Chapter 8
29
Quasi-resonant ZVS buck converter with L-type
half-wave switch
Lr
L
io
ii
C
Vi
vo
Cr
Fig. 8.28
Chapter 8
30
Quasi-resonant ZCS boost converter with Mtype full-wave switch
L
ii
io
Cr
Vi
C
vo
Lr
Fig. 8.29
Chapter 8
31
TABLE 8.1 Comparison of the ZVS and ZCS Resonant-Switch Converters
______________________________________________________________________________
Property
ZCS Converters
ZVS Converters
____________________________________________________________________________________________________________________
Voltage gain
Buck converter
kf
1 - kf
Boost converter
1/(1 - kf)
1/kf
Buck-boost converter
kf /(1 - kf)
1/kf - 1
constant tON
constant tOFF
variable tOFF
variable tON
Waveform of voltage across the switch
square
sinusoidal
Waveform of current through the switch
sinusoidal
square
Load range
1<r<∞
0<r<1
Control
______________________________________________________________________________
Chapter 8
32
Series-loaded resonant converter
ii
C1
S1
D1
D3
Lr
Vi
ir
vinv
C2
D2
io
D5
Cr
C
vrec
S2
D4
vo
D6
Fig. 8.30
Chapter 8
33
AC equivalent circuit of the series-loaded
resonant converter
ir Cr
Lr
vinv
vrec
R eq
Fig. 8.31
Chapter 8
34
Control characteristic of the series-loaded
resonant converter
Fig. 8.32
Chapter 8
35
Parallel-loaded resonant converter
L
ii
C1
S1
D1
D3
Lr
Vi
C2
D2
ir
Cr
vinv
io
D5
D4
S2
C
vrec
vo
D6
Fig. 8.33
Chapter 8
36
AC equivalent circuit of the parallel-loaded
resonant converter
Lr
vinv
i rec
Cr
vrec
R eq
Fig. 8.34
Chapter 8
37
Control characteristic of the parallel-loaded
resonant converter
Fig. 8.35
Chapter 8
38
Series-parallel resonant converter
ii
C1
D1
S1
D3
Lr
ir
C r1
Vi
C
C r2
C2
D2
io
D5
D4
S2
vo
D6
Fig. 8.36
Chapter 8
39
Control characteristic of the series-parallel
resonant converter
Fig. 8.37
Chapter 8
40
Quasi-resonant ZCS buck converter with an Ltype full-wave switch
Lr
L
io
ii
Vi
Cr
vo
C
Fig. 8.38
Chapter 8
41

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