Post on 24-Dec-2015
1
WEEK 7
DC SWITCHING POWER SUPPLIES, PART II
2
EXPECTATIONS• Describe the supply isolation characteristics
afforded by transformers.• Draw basic forward, flyback and isolated
Cuk topology schematics.• Determine minimum inductances required
in isolated switching supplies.• Explain the practical tradeoffs between
types of isolated converters.• Describe the operating characteristics of
resonant switching converters.• Draw the sine wave characteristics of a
resonant switch arrangement.• List the three specific modes of load-
resonant converters.• Compare tradeoffs in switching topologies
by considering loading conditions.
Ferromagnetism
• Iron, nickel, cobalt and some of the rare earths (gadolinium, dysprosium) exhibit a unique magnetic behavior which is called ferromagnetism because iron (ferrum in Latin) is the most common and most dramatic example.
• Samarium and neodymium in alloys with cobalt have been used to fabricate very strong rare-earth magnets.
Ferromagnetism • There are many applications of
ferromagnetic materials, such as the electromagnet.
• Ferromagnets will tend to stay magnetized to some extent after being subjected to an external magnetic field.
• This tendency to "remember their magnetic history" is called hysteresis.
• The fraction of the saturation magnetization which is retained when the driving field is removed is called the remanence of the material, and is an important factor in permanent magnets.
FerromagnetismHysteresis
Hysteresis
Ferromagnetic Materials
Material TreatmentInitial
RelativePermeability
Maximum Relative
Permeability
Iron, 99.8% pure Annealed 150 5000
Iron, 99.95% pure Annealed in hydrogen 10,000 200,000
78 Permalloy Annealed, quenched 8,000 100,000
Superpermalloy
Annealed in hydrogen, controlled
cooling
100,000 1,000,000
Cobalt, 99% pure Annealed 70 250
Nickel, 99% pure Annealed 110 600
Steel, 0.9% C Quenched 50 100
Steel, 30% Co Quenched ... ...
Alnico 5 Cooled in magnetic field 4 ...
Silmanal Baked ... ...
Iron, fine powder Pressed ... ...
7
Equivalent circuits of a transformer:
(a) ideal transformer(b) transformer with the
magnetizing inductance included
N 1
i
v1
v2
2
N 2
N 1
v1
v2
N 2
i 2 i 1
i 1 i'2
im
L m
(a)
(b)
8
Coupled Inductor
In SPICE, you define a transformer as a coupled inductor, with the following
ratio:
There's also a coupling factor K that comes into play.The magnetizing inductance of a transformer is the inductance you measure across the primary winding with the secondaries open-circuit (floating). It's a function of the core material and geometry, air gap and number of turns.
9
Coupled Inductor
A coupling factor, K, can be used to take care of the leakage inductance
K=1 is often good enough for a simulation; "good" real transformers often have a K very close to 1 (e.g. K = 0.995).
For power converters (e.g. flyback), however, it's good to use leakage inductances.
N1/N2 = K * sqrt(L1/L2)
10
Forward converter
L
i i
iV
D 3 D 1
3
1N
N
2N
D 2
io
voC
11
Flyback Converter
2N
N 1 iV
i i
L m
D 1
vo
io
C
12
Isolated uk Converter
iV
i i
L 1C
2N
N 1
C
vo
io
C 2
11 12
L 2
13
Midpoint Rectifier
v1
v i
vo
14
Push-pull Converter
i
N 1 N 2
D1
D3
D4
D2
L
C
Vi
i i
io
vo
S1
S2
15
Half-bridge Converter
io
L
i i
iV
2N
1N
C 2
C 1 D1
D3 D4
D2
S1
S2
C vo
16
Full-bridge Converter
io
L
2N
1N
C vo
i i
iV
D3
D4
S3
S4
D5 D6
S2
S1 D1
D2
17
Voltage-mode resonant switches:(a) L-type half-wave(b) M-type half-wave(c) L-type full-wave(d) M-type full-wave
(a)
(c)
(b)
(d)
18
Current-mode resonant switches:(a) L-type half-wave(b) M-type half-wave(c) L-type full-wave(d) M-type full-wave
(a)
(c )
(b )
(d )
19
Waveforms of the inductor current and capacitor voltage in an undamped resonant circuit
iL )t0 (
t0
t0
vC )(
iL
vC
t 0
20
Series-loaded resonant converter
i i
iV vo
io
r r
i r
v inv recv
1
2
C
C
L C
S1
S2
D1
D2
D3
D4
D5
D6
C
21
AC equivalent circuit of the series-loaded resonant
converter
vrecvinv
L r rC ri
R eq
22
Control characteristic of the series-loaded resonant
converter
23
Parallel-loaded resonant converter
i i
iV
r
vinv
1
2
C
C
L
S1
S2
D1
D2
D3
D4
D5
D6
v recrC
i r
vo
io
C
L
24
AC equivalent circuit of the parallel-loaded resonant
converter
vrecvinv
L r
R eq
i
C
rec
r
25
Control characteristic of the parallel-loaded resonant
converter
26
Series-parallel resonant converter
i i
iV
r
1
2
C
C
L
S1
S2
D1
D2
vo
io
D3
D4
D5
D6
C
C r2
C r1
ir
27
Control characteristic of the series-parallel resonant
converter
Chapter 8 28
Soft-Switching DC-DC Converters
• Is to shape the voltage or the current waveform by creating a resonant condition to:
• Force the voltage across the switching device to drop to zero before turning it ON Zero-Voltage Switching (ZVS)
• Force the current through the switching device to drop to zero before turning it OFF Zero-Current Switching (ZCS)
Hard-Switching and Soft-Switching
Hard-Switching
Zero-Current Switching
Zero-Voltage Switching
Why Soft-Switching?
• Reduce switching losses especially at high switching frequencies
• Increase the power density, since the size and weight of the magnetic components is decreased by increasing the operating frequency
• Reduce the Electromagnetic Interference (EMI)
31
ZVS Converter
32
Quasi-resonant ZVS buck converter with L-type half-
wave switch
vo
io
iV
i i
L
C
L r
C r
Zero Voltage Switching (ZVS)
33
ZVS
ADVANTAGES:
The ZVS enables high frequency operation with high efficiency. • Zero power “Lossless” switching
transitions• Reduced EMI / RFI at transitions• No power loss due to discharging
Goss• No higher peak currents, (ie. ZCS)
same as square wave systems• High efficiency with high voltage
inputs at any frequency• Can incorporate parasitic circuit and
component L & C
34
ZCS
Eliminates the voltage and current overlap by forcing the switch current to zero before the switch voltage rises.For high efficiency power conversion, the ZCS topologies are most frequently adopted.
35
Quasi-resonant ZCS buck converter with an L-type full-
wave switch
iV
i i
L
C
io
vo
L r
C r
Zero Current Switching (ZCS)
36
Quasi-resonant ZCS boost converter with M-type full-
wave switch
L
L r
C r C
i i
iV vo
io
Zero Current Switching (ZCS)
The full-wave ZCS quasi-resonant switch cell
= 0t
i1(t)
I2
v2(t)
0Ts
Vc1
Subinterval: 1 2 3 4
Conductingdevices:
Q1
D2
Q1 D1 D2X
= 0t
i1(t)
I2
v2(t)
0Ts
Vc1
Subinterval: 1 2 3 4
Conductingdevices:
Q1
D2
D1
Q1
D1
D2X
+
v2(t)
–
i1(t) i2(t)
+
v1(t)
–
Lr
Cr
Half-wave ZCS quasi-resonant switch cell
Switch network
+
v1r(t)
–
i2r(t)D1
D2
Q1
+
v2(t)
–
i1(t) i2(t)
+
v1(t)
–
Lr
Cr
Full-wave ZCS quasi-resonant switch cell
Switch network
+
v1r(t)
–
i2r(t)
D1
D2
Q1
Half wave
Full wave
38
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
Control 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
______________________________________________________________________________
39
ZCS
ADVANTAGES:
ZCS technology for use in the charging test of a lead-acid battery, to demonstrate the effectiveness of the developed methodology.
These techniques lead to either zero voltage or zero current during switching transition, significantly decreasing the switching losses. This increases the reliability for the battery chargers high quality, small size, light.
The circuit structure is simpler and much cheaper.
40
Next WeekUnit 8
Chapter 5AC – AC CONVERTERS
AC-TO-AC POWER CONVERSION