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Chapter 2: Switch Realization
1
1. Switch applications
Single-, two-, and four-quadrant switches. Synchronous rectifiers
2. A brief survey of power semiconductor devices
Power diodes, MOSFETs, BJTs, IGBTs, and thyristors
3. Switching loss
Transistor switching with clamped inductive load. Diode recovered
charge. Stray capacitances and inductances, and ringing.
Efficiency vs. switching frequency.
4. Summary of key points
SPST (single-pole single-throw) switches
2
SPST switch, with
voltage and current
polarities defined
Buck converter
with SPDT switch:
with two SPST switches:
All power semiconductor
devices function as SPST
switches.
1
i
+
v
–
0
L
C R
+
V
–
+
–
1 iL(t)
2
Vg
A L
C R
+
V
–
L
i (t)
+
–
+ vA –
–
vB
+
B
iA
iB
Vg
Realization of SPDT switch using two SPST switches
3
 A nontrivial step: two SPST switches are not
exactly equivalent to one SPDT switch
 It is possible for both SPST switches to be
simultaneously ON or OFF
 Behavior of converter is then significantly
modified
 Conducting state of SPST switch may depend
on applied voltage or current —for example:
diode
Quadrants of SPST switch operation
4
A single-quadrant
switch example:
ON-state: i > 0
OFF-state: v > 0
1
i
+
v
–
0
Switch
off state voltage
Switch
on state
current
Some basic switch applications
Fundamentals of Power Electronics Chapter 4: Switch realization 5
switch
off-statevoltage
switch
on-state
current
switch
on-state
current
switch
off-state
voltage
switch
on-state
current
switch
off-state
voltage
switch
on-state
current
switch
off-state
voltage
Single-
quadrant
switch
Current-
bidirectional
two-quadrant
switch
Voltage-
bidirectional
two-quadrant
switch
Four-
quadrant
switch
Single-quadrant switches
6
 Active switch: Switch state is
controlled exclusively by a third
terminal (control terminal).
 Passive switch: Switch state is
controlled by the applied current
and/or voltage at terminals 1 and
2.
 SCR: A special case — turn-on
transition is active, while turn-off
transition is passive.
 Single-quadrant switch: on-state i(t)
and off-state v(t) are unipolar.
1
i
+
v
–
0
The Diode
7
Symbol instantaneous i-v characteristic
• A passive switch
• Single-quadrant switch:
• can conduct positive
on- state current
• can block negative
off- state voltage
• provided that the
intended on-state and
off-state operating
points lie on the diode i-
v characteristic, then
switch can be realized
using a diode
1
i
+
v
–
0
i
v
on
off
The Bipolar Junction Transistor (BJT) and the
Insulated Gate Bipolar Transistor (IGBT)
8
BJT
instantaneous i-v characteristic
• An active switch, controlled
by terminal C
• Single-quadrant switch:
• can conduct positive on-
state current
• can block positive off-state
voltage
• provided that the intended
on-state and off-state
operating points lie on the
transistor i-v characteristic,
then switch can be realized
using a BJT or IGBT
i
v
on
off
1
i +
v
–
0
C
IGBT
C
1
i
0
+
v
–
The Metal-Oxide Semiconductor Field Effect
Transistor (MOSFET)
 Normally operated as
single- quadrant switch:
 can conduct positive on-
state current (can also
conduct negative current
in some circumstances)
 can block positive off-state
voltage
 provided that the intended
on- state and off-state
operating points lie on the
MOSFET i-v characteristic,
then switch can be
realized using a MOSFET
Fundamentals of Power Electronics Chapter 4: Switch realization 9
Symbol instantaneous i-v characteristic
 An active switch,
controlled by terminal C
i
on
off
on
(reverse conduction)
1
i +
v
0
–
C
Realization of switch using transistors and
diodes
10
Buck converter example
SPST switch
operating points
Switch A Switch B
Switch A: transistor
Switch B: diode
iL
Vg vA
iA
Switch A
on
Switch A
off
vB
iL
–Vg
iB
Switch B
on
Switch B
off
A L
C R
+
V
–
iL(t)
+
–
+ vA –
–
vB
+
B
iA
iB
Vg
Realization of buck converter using single-
quadrant switches
11
+
–
L iL(t)
iA
–
vB
+
iB
L
vA
+ –
+ v (t)–
Vg
iL
Vg vA
iA
Switch A
on
Switch A
off
vB
iL
–Vg
iB
Switch B
on
Switch B
off
Current-bidirectional two-quadrant switches
12
1
+
v
–
i
0
C
i
v
on
(transistor conducts)
off
on
(diode conducts)
BJT / anti-parallel
diode realization
instantaneous i-v
characteristic
• Usually an active switch,
controlled by terminal C
• Normally operated as two-
quadrant switch:
• can conduct positive or
negative on-state current
• can block positive off-state
voltage
• provided that the intended on-
state and off-state operating
points lie on the composite i-v
characteristic, then switch can
be realized as shown
Two Quadrant Switches
13
switch
on-state
current
switch
off-state
voltage
i
v
on
(transistor conducts)
off
on
(diode conducts)
1
i
+
v
–
0
MOSFET Body Diode
14
1
i
0
+
v
–
C
i
v
on
(transistor conducts)
off
on
(diode conducts)
Power MOSFET,
and its integral
body diode
Use of external diodes
to prevent conduction
of body diode
Power MOSFET
characteristics
Simple Inverter
15
+
–
+
–
Vg
Vg C R
Q1
Q2
D2
iL
iA
iB
v0
+
–
vB
+
–
v
D1 A
+
– L
0
v (t) = (2D – 1)Vg
Inverter: sinusoidal modulation of D
16
v0(t) = (2D – 1) Vg
Sinusoidal modulation to
produce ac output:
D(t) = 0.5 + Dm sin (t)
v0
Vg
D
–Vg
0
0.5 1
L
i (t) =
v (t)
= (2D – 1)
Vg
0
R R
The resulting inductor
current variation is also
sinusoidal:
Hence, current-bidirectional
two-quadrant switches are
required.
The dc-3øac voltage source inverter (VSI)
17
+
–
Vg
ia
ib
ic
Switches must block dc input voltage, and conduct ac load current.
Bidirectional Battery charger/discharger
18
L
Q1
Q2
D1
D2
vbatt
+
–
+
vbus
spacecraft
main power bus
–
vbus > vbatt
A dc-dc converter with bidirectional power flow.
Voltage-Bidirectional Two-Quadrant switches
19
BJT / series
diode realization
instantaneous i-v
characteristic
• Usually an active switch,
controlled by terminal C
• Normally operated as two-
quadrant switch:
• can conduct positive on-state
current
• can block positive or negative
off-state voltage
• provided that the intended on-
state and off-state operating
points lie on the composite i-v
characteristic, then switch can
be realized as shown
• The SCR is such a device,
without controlled turn-off
i
1
0
v
+
–
C
i
v
on
off
(transistor
blocks voltage)
off
(diode
blocks voltage)
Two-Quadrant Switches
20
1
i
+
v
–
0
i
v
on
off
(transistor
blocks voltage)
off
(diode
blocks voltage)
switch
on-state
current
switch
off-state
voltage
i
1
–
0
v
+
C
A DC-3øac buck-boost inverter
21
iL
Vg
a
+
vab(t)
–
b
+
vbc(t)
–
c
Requires voltage-bidirectional two-quadrant switches.
Another example: boost-type inverter, or current-source inverter (CSI).
Four-Quadrant Switches
22
switch
on-state
current
switch
off-state
voltage
• Usually an active
switch, controlled
by terminal C
• can conduct
positive or
negative on-state
current
• can block positive or
negative off-state
voltage
Three ways to realize a four-quadrant switch
23
1
i
0
v
+
–
1
i
0
v
+
–
1
i
0
v
+
–
1
i
+
v
–
0
A 3øac-3øac matrix converter
24
ib
ic
ia
+
–
van(t)
vcn(t)
vbn(t)
3øac input 3øac output
• All voltages and currents are ac; hence, four-quadrant switches are required.
• Requires nine four-quadrant switches
Synchronous Rectifiers
25
i
+
v
–
1
0
1
i +
v
0
–
C
i
v
on
off
on
(reverse conduction)
Replacement of diode with a backwards-connected MOSFET,
to obtain reduced conduction loss
1
i
0
+
v
–
ideal switch conventional
diode rectifier
MOSFET as
synchronous
rectifier
instantaneous i-v
characteristic
Buck Converter with Synchronous Rectifier
26
+
–
Vg
L iL(t)
iA
vA
vB
–
+ –
Q1
Q
+
2 iB
C
C
• MOSFET Q2 is
controlled to turn on
when diode would
normally conduct
• Semiconductor
conduction loss can
be made arbitrarily
small, by reduction
of MOSFET on-
resistances
• Useful in low-voltage
high-current
applications
Brief Survey of power semiconductor devices
27
● Power diodes
● Power MOSFETs
● Bipolar Junction Transistors (BJTs)
● Insulated Gate Bipolar Transistors (IGBTs)
● Thyristors (SCR, GTO, MCT)
● On resistance vs. breakdown voltage vs. switching
times
● Minority carrier and majority carrier devices
Transistor switching with clamped inductive load
28
+
–
L
iL(t)
iA
vA
vB
+
–
+ –
DT T
s s
+
–
ideal
diode
iB
physical
MOSFET
gate
driver
Vg
transistor
waveforms
diode
waveforms
t
t
t
pA(t)
= vA iA
iL
Vg
A
v (t)
A
i (t)
0 0
iB(t)
vB(t)
0 0
iL
–Vg
area
Woff
Vg iL
t0 t1 t2
Buck converter example
transistor turn-off
transition
off 2 g L 2 0
W = 1 V i (t – t )
vB(t) = vA(t) – Vg
iA(t) + iB(t) = iL
Switching loss induced by transistor turn-off transition
2
Woff = 1 VgiL (t2 –t0)
Psw = 1
Ts
pA(t) dt = (Won + Woff ) fs
switching
transitions
29
Energy lost during transistor turn-off transition:
Similar result during transistor turn-on transition.
Average power loss:
Power Diodes
30
A power diode, under
reverse-biased
conditions:
v low doping concentration
n-
p n
+
–
+
+
+
–
–
–
E
– v +
depletion region, reverse-biased
Typical Diode Switching Waveforms
31
t
i(t)
0
v(t)
tr
(1) (2) (3) (4)
area
–Qr
(5) (6)
t
di
dt
Forward-Biased power diode
32
conductivity modulation
n-
p n
minority carrier injection
+
+
+
–
–
–
+
+
+
i
v
Charge-controlled behavior of the diode
33
Total stored minority charge q
p n- n
+
+
+
i
v
}
+
+
+
+
+
The diode equation:
q(t) = Q0 ev(t) – 1
d q(t) = i(t) – q(t)
L
dt
With:
Charge control equation:
λ= 1/(26 mV) at 300 K
τL = minority carrierlifetime
(above equations don’t
include current that
charges depletion region
capacitance)
In equilibrium: dq/dt = 0, and hence
i(t) = q(t) =
Q0
L L
ev(t) – 1 = I0 ev(t) – 1
Charge-control in the diode: Discussion
34
• The familiar i–v curve of the diode is an equilibrium
relationship that can be violated during transient
conditions
• During the turn-on and turn-off switching transients, the
current deviates substantially from the equilibrium i–v curve,
because of change in the stored charge and change in the
charge within the reverse-bias depletion region
• Under forward-biased conditions, the stored minority charge
causes “conductivity modulation” of the resistance of the
lightly-doped n– region, reducing the device on-resistance
Diode in OFF state: reversed-biased, blocking voltage
35
t
i(t)
0
v(t)
(1)
t
{
p n– n
+
–
E
– v +
Depletion region, reverse-biased
v
• Diode is reverse-biased
• No stored minority charge: q = 0
• Depletion region blocks applied
reverse voltage; charge is stored in
capacitance of depletion region
Turn-on transient
36
The current i(t) is
determined by the
converter circuit. This
current supplies:
• charge to increase
voltage across
depletion region
• charge needed to
support the on-state
current
• charge to reduce
–
on-resistance of n
region
t
i(t)
v(t)
(1) (2)
t
Charge depletion region
Diode is forward-biased. Supply minority
charge to n– region to reduce on-resistance
Diode conducts with low on-resistance
On-state current determined by converter circuit
Turn-off transient
Fundamentals of Power Electronics Chapter 4: Switch realization 37
Removal of stored minority charge q
p n- n
+
+
+
i (< 0)
v
+
+
+
+
+
Diode turn-off transient
continued
38
t
i(t)
0
v(t)
tr
(1) (2) (3) (4)
Area
–Qr
(5) (6)
t
di
dt
(4) Diode remains forward-biased.
Remove stored charge in n– region
(5) Diode is reverse-biased.
Charge depletion region
capacitance.
3
9
+
–
L
iL(t)
iA
vA
vB
+
–
+ –
+
–
silicon
diode
iB
fast
transistor
Vg
t
iL
–Vg
0
iB(t)
vB(t)
area
–Qr
0
tr
t
iL
Vg
0
A
i (t)
A
v (t)
Qr
0
area
~QrVg
area
~iLVgtr
t0 t1 t2
transistor
waveforms
diode
waveforms
A
p (t)
= vA iA
• Diode recovered stored charge
Qr flows through transistor
during transistor turn-on
transition, inducing switching
loss
r
• Q depends on diode on-state
forward current, and on the
rate-of-change of diode current
during diode turn-off transition
The diode switching transients induce switching loss in the
transistor
see Section 4.3.2
4
0
Switching Loss Calculation
t
iL
–Vg
0
iB(t)
vB(t)
area
–Qr
0
tr
t
iL
Vg
iA(t)
vA(t)
0
Qr
0
t
area
~QrVg
area
~iLVgtr
t0 t1 t2
transistor
waveforms
diode
waveforms
pA(t)
= vA iA
D
W = vA(t) iA(t) dt
switching
transition
WD  Vg (iL – iB(t))dt
switching
transition
= Vg iL tr + Vg Qr
Energy lost in transistor:
With abrupt-recovery diode:
Soft-recovery
diode:
(t2 – t1) >> (t1 – t0)
Abrupt-recovery
diode:
(t2 – t1) << (t1 – t0)
• Often, this is the largest
component of switching loss
Types of Power Diodes
41
 Standard recovery
• Reverse recovery time not specified, intended for 50/60Hz
 Fast recovery and ultra-fast recovery
• Reverse recovery time and recovered charge specified
• Intended for converter applications
 Schottky diode
• A majority carrier device
• Essentially no recovered charge
• Model with equilibrium i-v characteristic, in
parallel with depletion region capacitance
• Restricted to low voltage (few devices can block
100V or more)
Characteristics of several commercial power rectifier
diodes
42
Part number R ated maxvoltage
Fast recov ery rectifiers
R atedavg current VF (typical) tr (max)
1N3913
SD453N25S20PC
Ultra-fast recovery
400V
2500V
rectifiers
30A
400A
1.1V
2.2V
400ns
2µs
MUR815 150V 8A 0.975V 35ns
MUR1560 600V 15A 1.2V 60ns
RHRU100120 1200V 100A 2.6V 60ns
S chottky rectifiers
MBR6030L 30V 60A 0.48V
444CNQ045 45V 440A 0.69V
30CPQ150 150V 30A 1.19V
Paralleling Diodes
43
+
v1
–
+
v2
–
i1 i2
i
Attempts to parallel diodes, and share the
current so that i1 = i2 = i/2, generally don’t
work.
Reason: thermal instability caused by
temperature dependence of the diode
equation.
Increased temperature leads to increased
current, or reduced voltage.
One diode will hog the current.
To get the diodes to share the current, heroic
measures are required:
• Select matched devices
• Package on common thermal substrate
• Build external circuitry that forces the currents to balance
Ringing Induced by diode stored charge
44
+
–
L
iL(t)
+
–
+ –
vL(t)
silicon
diode
i
v (t) C
B
v (t)
iB(t)
t
–V2
area
– Qr
t
V1
0
vi(t)
t
t2 t3
t1
vB(t)
0
iL(t)
–V2
0
• Diode is forward-biased while iL(t) > 0
• Negative inductor current removes diode
stored charge Qr
• When diode becomes reverse-biased,
negative inductor current flows through
capacitor C.
• Ringing of L-C network is damped by
parasitic losses. Ringing energy is lost.
Energy Associated with ringing
t
–V2
area
– Qr
t
V1
0
vi(t)
t
t2 t3
t1
B
v (t)
L
i (t)
–V2
0
0
Qr =– iL(t) dt
t2
t3
Recovered charge is
WL = vL(t) iL(t) dt
t2
t3
Energy stored in inductor during interval
t2 ≤ t ≤ t3 :
Applied inductor voltage during interval
t2 ≤ t ≤ t3 :
vL(t) = L
di (t)
L
dt
=– V2
Hence,
L
W = L
di (t)
L
dt L
i (t) dt =
t2
t3
2 L
( – V ) i (t) dt
t2
t3
L
4
5
2
W = 1 L i2
(t ) = V Q
L 3 2 r
The Power MOSFET
46
Drain
n
n-
n n
p p
Source
Gate
n
n
• Gate lengths
approaching one
micron
• Consists of many
small enhancement-
mode parallel-
connected MOSFET
cells, covering the
surface of the silicon
wafer
• Vertical current flow
• n-channel device is
shown
MOSFET: Off
state
Fundamentals of Power Electronics Chapter 4: Switch realization 47
n n
p p
n
n
depletion region
n-
n
–
+
source
drain
• p-n- junction is
reverse-biased
• off-state voltage
appears across n-
region
MOSFET: on
state
Fundamentals of Power Electronics Chapter 4: Switch realization 48
n
n-
n n
p p
n
n
channel
source
drain drain current
• p-n- junction is
slightly reverse-
biased
• positive gate voltage
induces conducting
channel
• drain current flows
through n- region
and conducting
channel
• on resistance = total
resistances of n-
region, conducting
channel, source and
drain contacts, etc.
MOSFET body
diode
Fundamentals of Power Electronics Chapter 4: Switch realization
n
n n
p p
n
n
Body diode
n-
4
9
source
drain
• p-n- junction forms
an effective diode, in
parallel with the
channel
• negative drain-to-
source voltage can
forward-bias the
body diode
• diode can conduct
the full MOSFET
rated current
• diode switching
speed not optimized
—body diode is
slow, Qr is large
Typical MOSFET
characteristics
Fundamentals of Power Electronics Chapter 4: Switch realization 50
0A
5A
10A
VGS
ID
0V 5V 10V 15V
off
state
on state
• Off state: VGS < Vth
• On state: VGS >> Vth
• MOSFET can
conduct peak
currents well in
excess of average
current rating
—characteristics are
unchanged
• on-resistance has
positive temperature
coefficient, hence
easy to parallel
A simple MOSFET equivalent
circuit
Fundamentals of Power Electronics Chapter 4: Switch realization 51
D
S
G
Cds
Cgs
Cgd
• Cgs : large, essentially constant
• Cgd : small, highly nonlinear
• Cds : intermediate in value, highly
nonlinear
• switching times determined by rate
at which gate driver
charges/discharges Cgs and Cgd
ds ds
C
C (v ) = 0
1 + vds
V0
Cds(vds)  C0
V
vds
0
= 0
C'
vds
Switching loss caused by semiconductor
output capacitances
Fundamentals of Power Electronics Chapter 4: Switch realization 52
+
–
+
–
Vg
Buck converter example
Cds
Cj
C 2 ds j g
W = 1 (C + C ) V2
Energy lost during MOSFET turn-on transition
(assuming linear capacitances):
MOSFET nonlinear
Cds
Fundamentals of Power Electronics Chapter 4: Switch realization 53
Cds(vds)  C0
V
vds
0
= 0
C'
vds
Approximate dependence of incremental Cds on vds :
WCds = vds Cds(vds) dvds
0
Energy stored in Cds at vds = VDS :
VDS
Cds
W = 0 ds ds ds
0
vds iC dt=
VDS
3 ds DS DS
C'
(v ) v dv = 2 C (V ) V2
4
3 ds DS
C (V )
— same energy loss as linear capacitor having value
Characteristics of several commercial power MOSFETs
Fundamentals of Power Electronics Chapter 4: Switch realization 54
Part number R ated maxvoltage R atedavg current Ron Qg (typical)
IRFZ48 60V 50A 0.018Ω 110nC
IRF510 100V 5.6A 0.54Ω 8.3nC
IRF540 100V 28A 0.077Ω 72nC
APT10M25BNR 100V 75A 0.025Ω 171nC
IRF740 400V 10A 0.55Ω 63nC
MTM15N40E 400V 15A 0.3Ω 110nC
APT5025BN 500V 23A 0.25Ω 83nC
APT1001RBNR 1000V 11A 1.0Ω 150nC
MOSFET:
conclusions
Fundamentals of Power Electronics Chapter 4: Switch realization 55
● A majority-carrier device: fast switching speed
● Typical switching frequencies: tens and hundreds of kHz
● On-resistance increases rapidly with rated blocking voltage
● Easy to drive
● The device of choice for blocking voltages less than 500V
● 1000V devices are available, but are useful only at low power levels
(100W)
● Part number is selected on the basis of on-resistance rather than
current rating
4.2.3. Bipolar Junction
Transistor (BJT)
Fundamentals of Power Electronics Chapter 4: Switch realization 56
Collector
n
n-
p
Emitter
Base
n n
n
• Interdigitated base and
emitter contacts
• Vertical current flow
• npn device is shown
• minority carrier device
• on-state: base-emitter
and collector-base
junctions are both
forward-biased
• on-state: substantial
minority charge in p and
n- regions, conductivity
modulation
BJT switching
times
Fundamentals of Power Electronics Chapter 4: Switch realization 57
+
–
VCC
RL
RB
vs(t)
iC(t)
+
CE
v (t)
–
B
i (t)
+
vBE(t)
–
t
(1) (2) (3) (4) (5)
vs(t)
vBE(t)
iB(t)
CE
v (t)
iC(t)
–Vs1
Vs2
–Vs1
0.7V
0
IB1
VCC
IConRon
0
ICon
–IB2
(6) (7) (8) (9)
Ideal base current
waveform
Fundamentals of Power Electronics Chapter 4: Switch realization 58
iB(t)
IB1
–IB2
IBon
0
t
Current crowding due to
excessive IB2
Fundamentals of Power Electronics Chapter 4: Switch realization 59
Collector
n
n-
p
Emitter
Base
n
–IB2
– –
p
–
–
+ + –
– can lead to
formation of hot
spots and device
failure
BJT characteristics
Fundamentals of Power Electronics Chapter 4: Switch realization 60
5A
10A
IC
0V
cutoff
0A
5V 10V 15V
IB
saturation region
slope
= 
• Off state: IB = 0
• On state: IB > IC /β
• Current gain β decreases
rapidly at high current. Device
should not be operated at
instantaneous currents
exceeding the rated value
Breakdown
voltages
Fundamentals of Power Electronics Chapter 4: Switch realization 61
IC
VCE
IB =0
open emitter
BVCBO
BVCEO
BVsus
increasing IB
BVCBO: avalanche breakdown
voltage of base-collector
junction, with the emitter
open-circuited
BVCEO: collector-emitter
breakdown voltage with zero
base current
BVsus: breakdown voltage
observed with positive base
current
In most applications, the off-
state transistor voltage must
not exceed BVCEO.
Darlington-connected BJT
Fundamentals of Power Electronics Chapter 4: Switch realization 62
Q1
Q2
D1
• Increased current gain, for high-voltage
applications
• In a monolithic Darlington device,
transistors Q1 and Q2 are integrated on the
same silicon wafer
• Diode D1 speeds up the turn-off process,
by allowing the base driver to actively
remove the stored charge of both Q1 and
Q2 during the turn-off transition
Conclusions:
BJT
Fundamentals of Power Electronics Chapter 4: Switch realization 63
● BJT has been replaced by MOSFET in low-voltage (<500V)
applications
● BJT is being replaced by IGBT in applications at voltages above
500V
● A minority-carrier device: compared with MOSFET, the BJT
exhibits slower switching, but lower on-resistance at high
voltages
4.2.4. The Insulated Gate Bipolar Transistor (IGBT)
Fundamentals of Power Electronics Chapter 4: Switch realization 64
Collector
p
n-
n n
p p
Emitter
Gate
n
n
minority carrier
injection
• A four-layer device
• Similar in construction to
MOSFET, except extra p
region
• On-state: minority carriers
are injected into n- region,
leading to conductivity
modulation
• compared with MOSFET:
slower switching times,
lower on-resistance, useful
at higher voltages (up to
1700V)
The
IGBT
Fundamentals of Power Electronics Chapter 4: Switch realization 65
collector
emitter
Symbol
gate
C
E
G
i2
i1
p
n-
n n
p
p
n
n
i2
i1
Equivalent
circuit
Location of equivalent devices
Current tailing in
IGBTs
Fundamentals of Power Electronics Chapter 4: Switch realization 66
IGBT
waveforms
diode
waveforms
t
t
t
pA(t)
= vA iA
iL
Vg
vA(t)
A
i (t)
0 0
iB(t)
vB(t)
0 0
iL
–Vg
Vg iL
t0
area Woff
t1 t2 t3
C
E
G
i2
i1
Switching loss due to current-tailing in
IGBT
Fundamentals of Power Electronics Chapter 4: Switch realization 67
+
–
L
iL(t)
iA
vA
vB
+
–
+ –
DT T
s s
+
–
ideal
diode
iB
physical
IGBT
gate
driver
Vg
IGBT
waveforms
diode
waveforms
t
t
t
pA(t)
= vA iA
iL
Vg
A
v (t)
iA(t)
0 0
iB(t)
vB(t)
0 0
iL
–Vg
Vg iL
t0
area Woff
t1 t2 t3
Example: buck converter with IGBT
transistor turn-off
transition
1
Psw = T s
pA(t) dt = (Won + Woff ) fs
switching
transitions
Characteristics of several commercial
devices
Fundamentals of Power Electronics Chapter 4: Switch realization 68
Part number R ated maxvoltage
Single-chip dev ices
R atedavg current VF (typical) tf (typical)
HGTG32N60E2
HGTG30N120D2
600V
1200V
32A
30A
2.4V
3.2A
0.62µs
0.58µs
Multiple-chip power modules
CM400HA-12E 600V 400A 2.7V 0.3µs
CM300HA-24E 1200V 300A 2.7V 0.3µs
Conclusions: IGBT
Fundamentals of Power Electronics Chapter 4: Switch realization 69
● Becoming the device of choice in 500 to 1700V+ applications, at
power levels of 1-1000kW
● Positive temperature coefficient at high current —easy to parallel
and construct modules
● Forward voltage drop: diode in series with on-resistance. 2-4V
typical
● Easy to drive —similar to MOSFET
● Slower than MOSFET, but faster than Darlington, GTO, SCR
● Typical switching frequencies: 3-30kHz
● IGBT technology is rapidly advancing:
● 3300 V devices: HVIGBTs
● 150 kHz switching frequencies in 600 V devices
4.2.5. Thyristors (SCR, GTO,
MCT)
Fundamentals of Power Electronics Chapter 4: Switch realization 70
The SCR
symbol
Anode (A)
Cathode (K)
Gate (G)
equiv circuit
Anode
Cathode
Gate
Q1
Q2
A
n-
p
G
K
n
n
p
K
Q1
Q2
construction
The Silicon Controlled Rectifier
(SCR)
Fundamentals of Power Electronics Chapter 4: Switch realization 71
• Positive feedback —a latching
device
• A minority carrier device
• Double injection leads to very low
on-resistance, hence low forward
voltage drops attainable in very high
voltage devices
• Simple construction, with large
feature size
• Cannot be actively turned off
• A voltage-bidirectional two-quadrant
switch
• 5000-6000V, 1000-2000A devices
iA
vAK
G
i = 0
increasing iG
forward
conducting
reverse
blocking
forward
blocking
reverse
breakdown
Why the conventional SCR cannot be turned off via
gate control
Fundamentals of Power Electronics Chapter 4: Switch realization 72
A
n-
p
G
K
n
n
p
K
–
+
–
–
–iG
iA
• Large feature size
• Negative gate current
induces lateral voltage
drop along gate-cathode
junction
• Gate-cathode junction
becomes reverse-biased
only in vicinity of gate
contact
The Gate Turn-Off Thyristor
(GTO)
Fundamentals of Power Electronics Chapter 4: Switch realization 73
• An SCR fabricated using modern techniques —small feature size
• Gate and cathode contacts are highly interdigitated
• Negative gate current is able to completely reverse-bias the gate-
cathode junction
Turn-off transition:
• Turn-off current gain: typically 2-5
• Maximum controllable on-state current: maximum anode current
that can be turned off via gate control. GTO can conduct peak
currents well in excess of average current rating, but cannot switch
off
The MOS-Controlled Thyristor
(MCT)
Fundamentals of Power Electronics Chapter 4: Switch realization 74
Cathode
p
p-
n
Anode
Gate
n
n
n
3
Q channel
4
Q channel
• Still an emerging
device, but some
devices are
commercially available
• p-type device
• A latching SCR, with
added built-in
MOSFETs to assist the
turn-on and turn-off
processes
• Small feature size,
highly interdigitated,
modern fabrication
The MCT: equivalent
circuit
Fundamentals of Power Electronics Chapter 4: Switch realization 75
Anode
Cathode
Gate
Q1
Q2
Q3
Q4
• Negative gate-anode
voltage turns p-channel
MOSFET Q3 on, causing
Q1 and Q2 to latchON
• Positive gate-anode
voltage turns n-channel
4
MOSFET Q on, reverse-
biasing the base-emitter
junction of Q2 and turning
off the device
• Maximum current that can
be interrupted is limited by
the on-resistance of Q4
Summary:
Thyristors
Fundamentals of Power Electronics Chapter 4: Switch realization 76
• The thyristor family: double injection yields lowest forward voltage
drop in high voltage devices. More difficult to parallel than
MOSFETs and IGBTs
• The SCR: highest voltage and current ratings, low cost, passive
turn-off transition
• The GTO: intermediate ratings (less than SCR, somewhat more
than IGBT). Slower than IGBT. Slower than MCT. Difficult to drive.
• The MCT: So far, ratings lower than IGBT. Slower than IGBT. Easy
to drive. Second breakdown problems? Still an emerging device.
4.3.Switching
loss
Fundamentals of Power Electronics Chapter 4: Switch realization 77
• Energy is lost during the semiconductor switching transitions, via
several mechanisms:
• Transistor switching times
• Diode stored charge
• Energy stored in device capacitances and parasitic inductances
• Semiconductor devices are charge controlled
• Time required to insert or remove the controlling charge determines
switching times
4.3.1. Transistor switching with clamped inductive load
Fundamentals of Power Electronics Chapter 4: Switch realization 78
+
–
L
iL(t)
iA
vA
vB
+
–
+ –
DT T
s s
+
–
ideal
diode
iB
physical
MOSFET
gate
driver
Vg
transistor
waveforms
diode
waveforms
t
t
t
pA(t)
= vA iA
iL
Vg
A
v (t)
A
i (t)
0 0
iB(t)
vB(t)
0 0
iL
–Vg
area
Woff
Vg iL
t0 t1 t2
Buck converter example
transistor turn-off
transition
off 2 g L 2 0
W = 1 V i (t – t )
vB(t) = vA(t) – Vg
iA(t) + iB(t) = iL
Switching loss induced by transistor turn-off transition
2
Woff = 1 VgiL (t2 –t0)
Psw = 1
Ts
pA(t) dt = (Won + Woff ) fs
switching
transitions
Fundamentals of Power Electronics Chapter 4: Switch realization 79
Energy lost during transistor turn-off transition:
Similar result during transistor turn-on transition.
Average power loss:
Switching loss due to current-tailing in
IGBT
Fundamentals of Power Electronics Chapter 4: Switch realization 80
+
–
L
iL(t)
iA
vA
vB
+
–
+ –
DT T
s s
+
–
ideal
diode
iB
physical
IGBT
gate
driver
Vg
IGBT
waveforms
diode
waveforms
t
t
t
pA(t)
= vA iA
iL
Vg
A
v (t)
iA(t)
0 0
iB(t)
vB(t)
0 0
iL
–Vg
Vg iL
t0
area Woff
t1 t2 t3
Example: buck converter with IGBT
transistor turn-off
transition
1
Psw = T s
pA(t) dt = (Won + Woff ) fs
switching
transitions
Cht
apter 4: Switch
realization
8
1
4.3.2. Diode recovered
charge
+
–
L
iL(t)
iA
vB
+
–
vA
+ –
+
–
silicon
diode
iB
fast
transistor
Vg
t
iL
–Vg
0
iB(t)
vB(t)
area
–Qr
0
tr
t
iL
Vg
0
iA(t)
A
v (t)
Qr
0
area
~QrVg
area
~iLVgtr
t0 t1 t2
transistor
waveforms
diode
waveforms
A
p (t)
= vA iA
• Diode recovered stored charge
Qr flows through transistor
during transistor turn-on
transition, inducing switching
loss
r
• Q depends on diode on-state
forward current, and on the
rate-of-change of diode current
during diode turn-off transition
Fundamentals of Power Electronics
Fundamentals of Power
Electronics
Chapter 4: Switch
realization
8
2
Switching loss
calculation
t
iL
–Vg
0
iB(t)
vB(t)
area
–Qr
0
tr
t
iL
Vg
iA(t)
vA(t)
0
Qr
0
t
area
~QrVg
area
~iLVgtr
t0 t1 t2
transistor
waveforms
diode
waveforms
pA(t)
= vA iA
D
W = vA(t) iA(t) dt
switching
transition
WD  Vg (iL – iB(t))dt
switching
transition
= Vg iL tr + Vg Qr
Energy lost in transistor:
With abrupt-recovery diode:
Soft-recovery
diode:
(t2 – t1) >> (t1 – t0)
Abrupt-recovery
diode:
(t2 – t1) << (t1 – t0)
• Often, this is the largest
component of switching loss
4.3.3. Device capacitances, and
leakage, package, and stray
inductances
Fundamentals of Power Electronics Chapter 4: Switch realization 83
• Capacitances that appear effectively in parallel with switch elements
are shorted when the switch turns on. Their stored energy is lost
during the switch turn-on transition.
• Inductances that appear effectively in series with switch elements
are open-circuited when the switch turns off. Their stored energy is
lost during the switch turn-off transition.
Total energy stored in linear capacitive and inductive elements:
C
W = capacitive 2
elements
i i L j j
1 CV2
W = 1 L I2
 
inductive 2
elements
Example: semiconductor output
capacitances
Fundamentals of Power Electronics Chapter 4: Switch realization 84
+
–
+
–
Vg
Buck converter example
Cds
Cj
C 2 ds j g
W = 1 (C + C ) V2
Energy lost during MOSFET turn-on transition
(assuming linear capacitances):
MOSFET nonlinear
Cds
Fundamentals of Power Electronics Chapter 4: Switch realization 85
Cds(vds)  C0
V
vds
0
= 0
C'
vds
Approximate dependence of incremental Cds on vds :
WCds = vds Cds(vds) dvds
0
Energy stored in Cds at vds = VDS :
VDS
Cds
W = 0 ds ds ds
0
vds iC dt=
VDS
3 ds DS DS
C'
(v ) v dv = 2 C (V ) V2
4
3 ds DS
C (V )
— same energy loss as linear capacitor having value
Some other sources of this type of switching loss
Fundamentals of Power Electronics Chapter 4: Switch realization 86
Schottky diode
• Essentially no stored charge
• Significant reverse-biased junction capacitance
Transformer leakage inductance
• Effective inductances in series with windings
• A significant loss when windings are not tightly coupled
Interconnection and package inductances
• Diodes
• Transistors
• A significant loss in high current applications
Ringing induced by diode stored
charge
Fundamentals of Power Electronics Chapter 4: Switch realization 87
+
–
L
iL(t)
+
–
+ –
vL(t)
silicon
diode
i
v (t) C
B
v (t)
iB(t)
t
–V2
area
– Qr
t
V1
0
vi(t)
t
t2 t3
t1
vB(t)
0
iL(t)
–V2
0
• Diode is forward-biased while iL(t) > 0
• Negative inductor current removes diode
stored charge Qr
• When diode becomes reverse-biased,
negative inductor current flows through
capacitor C.
• Ringing of L-C network is damped by
parasitic losses. Ringing energy is lost.
Energy associated with
ringing
Fundamentals of Power Electronics Chapter 4: Switch realization 88
t
–V2
area
– Qr
t
V1
0
vi(t)
t
t2 t3
t1
B
v (t)
L
i (t)
–V2
0
0
Qr =– iL(t) dt
t2
t3
Recovered charge is
WL = vL(t) iL(t) dt
t2
t3
Energy stored in inductor during interval
t2 ≤ t ≤ t3 :
Applied inductor voltage during interval
t2 ≤ t ≤ t3 :
vL(t) = L
di (t)
L
dt
=– V2
Hence,
L
W = L
di (t)
L
dt L
i (t) dt =
t2
t3
2 L
( – V ) i (t) dt
t2
t3
L 2
W = 1 L i2
(t ) = V Q
L 3 2 r
4.3.4. Efficiency vs. switching
frequency
Fundamentals of Power Electronics Chapter 4: Switch realization 89
Add up all of the energies lost during the switching transitions of one
switching period:
Wtot = Won + Woff + WD + WC + WL + ...
Average switching power loss is
Psw = Wtot fsw
Total converter loss can be expressed as
Ploss
where
= Pcond + Pfixed + Wtot fsw
Pfixed = fixed losses (independent of load and fsw)
Pcond = conduction losses
Efficiency vs. switching frequency
Fundamentals of Power Electronics Chapter 4: Switch realization 90
Ploss = Pcond + Pfixed + Wtot fsw
fcrit
=
Pcond + Pfixed
Wtot
50%
60%
70%
80%
90%
100%

100kHz
fsw
10kHz 1MHz
dc asymptote
f
cr
it
Switching losses are equal to
the other converter losses at the
critical frequency
This can be taken as a rough
upper limit on the switching
frequency of a practical
converter. For fsw > fcrit, the
efficiency decreases rapidly
with frequency.
Summary of chapter 4
Fundamentals of Power Electronics Chapter 4: Switch realization 91
1. How an SPST ideal switch can be realized using semiconductor devices
depends on the polarity of the voltage which the devices must block in the
off-state, and on the polarity of the current which the devices must conduct
in the on-state.
2. Single-quadrant SPST switches can be realized using a single transistor or
a single diode, depending on the relative polarities of the off-state voltage
and on-state current.
3. Two-quadrant SPST switches can be realized using a transistor and diode,
connected in series (bidirectional-voltage) or in anti-parallel (bidirectional-
current). Several four-quadrant schemes are also listed here.
4. A “synchronous rectifier” is a MOSFET connected to conduct reverse
current, with gate drive control as necessary. This device can be used
where a diode would otherwise be required. If a MOSFET with sufficiently
low Ron is used, reduced conduction loss is obtained.
Summary of chapter 4
Fundamentals of Power Electronics Chapter 4: Switch realization 92
5. Majority carrier devices, including the MOSFET and Schottky diode, exhibit
very fast switching times, controlled essentially by the charging of the
device capacitances. However, the forward voltage drops of these devices
increases quickly with increasing breakdown voltage.
6. Minority carrier devices, including the BJT, IGBT, and thyristor family, can
exhibit high breakdown voltages with relatively low forward voltage drop.
However, the switching times of these devices are longer, and are
controlled by the times needed to insert or remove stored minority charge.
7. Energy is lost during switching transitions, due to a variety of mechanisms.
The resulting average power loss, or switching loss, is equal to this energy
loss multiplied by the switching frequency. Switching loss imposes an
upper limit on the switching frequencies of practical converters.
Summary of chapter 4
Fundamentals of Power Electronics Chapter 4: Switch realization 93
8. The diode and inductor present a “clamped inductive load” to the transistor.
When a transistor drives such a load, it experiences high instantaneous
power loss during the switching transitions. An example where this leads to
significant switching loss is the IGBT and the “current tail” observed during
its turn-off transition.
9. Other significant sources of switching loss include diode stored charge and
energy stored in certain parasitic capacitances and inductances. Parasitic
ringing also indicates the presence of switching loss.

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Topic 2 - Switch Realization.pptx

  • 1. Chapter 2: Switch Realization 1 1. Switch applications Single-, two-, and four-quadrant switches. Synchronous rectifiers 2. A brief survey of power semiconductor devices Power diodes, MOSFETs, BJTs, IGBTs, and thyristors 3. Switching loss Transistor switching with clamped inductive load. Diode recovered charge. Stray capacitances and inductances, and ringing. Efficiency vs. switching frequency. 4. Summary of key points
  • 2. SPST (single-pole single-throw) switches 2 SPST switch, with voltage and current polarities defined Buck converter with SPDT switch: with two SPST switches: All power semiconductor devices function as SPST switches. 1 i + v – 0 L C R + V – + – 1 iL(t) 2 Vg A L C R + V – L i (t) + – + vA – – vB + B iA iB Vg
  • 3. Realization of SPDT switch using two SPST switches 3  A nontrivial step: two SPST switches are not exactly equivalent to one SPDT switch  It is possible for both SPST switches to be simultaneously ON or OFF  Behavior of converter is then significantly modified  Conducting state of SPST switch may depend on applied voltage or current —for example: diode
  • 4. Quadrants of SPST switch operation 4 A single-quadrant switch example: ON-state: i > 0 OFF-state: v > 0 1 i + v – 0 Switch off state voltage Switch on state current
  • 5. Some basic switch applications Fundamentals of Power Electronics Chapter 4: Switch realization 5 switch off-statevoltage switch on-state current switch on-state current switch off-state voltage switch on-state current switch off-state voltage switch on-state current switch off-state voltage Single- quadrant switch Current- bidirectional two-quadrant switch Voltage- bidirectional two-quadrant switch Four- quadrant switch
  • 6. Single-quadrant switches 6  Active switch: Switch state is controlled exclusively by a third terminal (control terminal).  Passive switch: Switch state is controlled by the applied current and/or voltage at terminals 1 and 2.  SCR: A special case — turn-on transition is active, while turn-off transition is passive.  Single-quadrant switch: on-state i(t) and off-state v(t) are unipolar. 1 i + v – 0
  • 7. The Diode 7 Symbol instantaneous i-v characteristic • A passive switch • Single-quadrant switch: • can conduct positive on- state current • can block negative off- state voltage • provided that the intended on-state and off-state operating points lie on the diode i- v characteristic, then switch can be realized using a diode 1 i + v – 0 i v on off
  • 8. The Bipolar Junction Transistor (BJT) and the Insulated Gate Bipolar Transistor (IGBT) 8 BJT instantaneous i-v characteristic • An active switch, controlled by terminal C • Single-quadrant switch: • can conduct positive on- state current • can block positive off-state voltage • provided that the intended on-state and off-state operating points lie on the transistor i-v characteristic, then switch can be realized using a BJT or IGBT i v on off 1 i + v – 0 C IGBT C 1 i 0 + v –
  • 9. The Metal-Oxide Semiconductor Field Effect Transistor (MOSFET)  Normally operated as single- quadrant switch:  can conduct positive on- state current (can also conduct negative current in some circumstances)  can block positive off-state voltage  provided that the intended on- state and off-state operating points lie on the MOSFET i-v characteristic, then switch can be realized using a MOSFET Fundamentals of Power Electronics Chapter 4: Switch realization 9 Symbol instantaneous i-v characteristic  An active switch, controlled by terminal C i on off on (reverse conduction) 1 i + v 0 – C
  • 10. Realization of switch using transistors and diodes 10 Buck converter example SPST switch operating points Switch A Switch B Switch A: transistor Switch B: diode iL Vg vA iA Switch A on Switch A off vB iL –Vg iB Switch B on Switch B off A L C R + V – iL(t) + – + vA – – vB + B iA iB Vg
  • 11. Realization of buck converter using single- quadrant switches 11 + – L iL(t) iA – vB + iB L vA + – + v (t)– Vg iL Vg vA iA Switch A on Switch A off vB iL –Vg iB Switch B on Switch B off
  • 12. Current-bidirectional two-quadrant switches 12 1 + v – i 0 C i v on (transistor conducts) off on (diode conducts) BJT / anti-parallel diode realization instantaneous i-v characteristic • Usually an active switch, controlled by terminal C • Normally operated as two- quadrant switch: • can conduct positive or negative on-state current • can block positive off-state voltage • provided that the intended on- state and off-state operating points lie on the composite i-v characteristic, then switch can be realized as shown
  • 14. MOSFET Body Diode 14 1 i 0 + v – C i v on (transistor conducts) off on (diode conducts) Power MOSFET, and its integral body diode Use of external diodes to prevent conduction of body diode Power MOSFET characteristics
  • 15. Simple Inverter 15 + – + – Vg Vg C R Q1 Q2 D2 iL iA iB v0 + – vB + – v D1 A + – L 0 v (t) = (2D – 1)Vg
  • 16. Inverter: sinusoidal modulation of D 16 v0(t) = (2D – 1) Vg Sinusoidal modulation to produce ac output: D(t) = 0.5 + Dm sin (t) v0 Vg D –Vg 0 0.5 1 L i (t) = v (t) = (2D – 1) Vg 0 R R The resulting inductor current variation is also sinusoidal: Hence, current-bidirectional two-quadrant switches are required.
  • 17. The dc-3øac voltage source inverter (VSI) 17 + – Vg ia ib ic Switches must block dc input voltage, and conduct ac load current.
  • 18. Bidirectional Battery charger/discharger 18 L Q1 Q2 D1 D2 vbatt + – + vbus spacecraft main power bus – vbus > vbatt A dc-dc converter with bidirectional power flow.
  • 19. Voltage-Bidirectional Two-Quadrant switches 19 BJT / series diode realization instantaneous i-v characteristic • Usually an active switch, controlled by terminal C • Normally operated as two- quadrant switch: • can conduct positive on-state current • can block positive or negative off-state voltage • provided that the intended on- state and off-state operating points lie on the composite i-v characteristic, then switch can be realized as shown • The SCR is such a device, without controlled turn-off i 1 0 v + – C i v on off (transistor blocks voltage) off (diode blocks voltage)
  • 20. Two-Quadrant Switches 20 1 i + v – 0 i v on off (transistor blocks voltage) off (diode blocks voltage) switch on-state current switch off-state voltage i 1 – 0 v + C
  • 21. A DC-3øac buck-boost inverter 21 iL Vg a + vab(t) – b + vbc(t) – c Requires voltage-bidirectional two-quadrant switches. Another example: boost-type inverter, or current-source inverter (CSI).
  • 22. Four-Quadrant Switches 22 switch on-state current switch off-state voltage • Usually an active switch, controlled by terminal C • can conduct positive or negative on-state current • can block positive or negative off-state voltage
  • 23. Three ways to realize a four-quadrant switch 23 1 i 0 v + – 1 i 0 v + – 1 i 0 v + – 1 i + v – 0
  • 24. A 3øac-3øac matrix converter 24 ib ic ia + – van(t) vcn(t) vbn(t) 3øac input 3øac output • All voltages and currents are ac; hence, four-quadrant switches are required. • Requires nine four-quadrant switches
  • 25. Synchronous Rectifiers 25 i + v – 1 0 1 i + v 0 – C i v on off on (reverse conduction) Replacement of diode with a backwards-connected MOSFET, to obtain reduced conduction loss 1 i 0 + v – ideal switch conventional diode rectifier MOSFET as synchronous rectifier instantaneous i-v characteristic
  • 26. Buck Converter with Synchronous Rectifier 26 + – Vg L iL(t) iA vA vB – + – Q1 Q + 2 iB C C • MOSFET Q2 is controlled to turn on when diode would normally conduct • Semiconductor conduction loss can be made arbitrarily small, by reduction of MOSFET on- resistances • Useful in low-voltage high-current applications
  • 27. Brief Survey of power semiconductor devices 27 ● Power diodes ● Power MOSFETs ● Bipolar Junction Transistors (BJTs) ● Insulated Gate Bipolar Transistors (IGBTs) ● Thyristors (SCR, GTO, MCT) ● On resistance vs. breakdown voltage vs. switching times ● Minority carrier and majority carrier devices
  • 28. Transistor switching with clamped inductive load 28 + – L iL(t) iA vA vB + – + – DT T s s + – ideal diode iB physical MOSFET gate driver Vg transistor waveforms diode waveforms t t t pA(t) = vA iA iL Vg A v (t) A i (t) 0 0 iB(t) vB(t) 0 0 iL –Vg area Woff Vg iL t0 t1 t2 Buck converter example transistor turn-off transition off 2 g L 2 0 W = 1 V i (t – t ) vB(t) = vA(t) – Vg iA(t) + iB(t) = iL
  • 29. Switching loss induced by transistor turn-off transition 2 Woff = 1 VgiL (t2 –t0) Psw = 1 Ts pA(t) dt = (Won + Woff ) fs switching transitions 29 Energy lost during transistor turn-off transition: Similar result during transistor turn-on transition. Average power loss:
  • 30. Power Diodes 30 A power diode, under reverse-biased conditions: v low doping concentration n- p n + – + + + – – – E – v + depletion region, reverse-biased
  • 31. Typical Diode Switching Waveforms 31 t i(t) 0 v(t) tr (1) (2) (3) (4) area –Qr (5) (6) t di dt
  • 32. Forward-Biased power diode 32 conductivity modulation n- p n minority carrier injection + + + – – – + + + i v
  • 33. Charge-controlled behavior of the diode 33 Total stored minority charge q p n- n + + + i v } + + + + + The diode equation: q(t) = Q0 ev(t) – 1 d q(t) = i(t) – q(t) L dt With: Charge control equation: λ= 1/(26 mV) at 300 K τL = minority carrierlifetime (above equations don’t include current that charges depletion region capacitance) In equilibrium: dq/dt = 0, and hence i(t) = q(t) = Q0 L L ev(t) – 1 = I0 ev(t) – 1
  • 34. Charge-control in the diode: Discussion 34 • The familiar i–v curve of the diode is an equilibrium relationship that can be violated during transient conditions • During the turn-on and turn-off switching transients, the current deviates substantially from the equilibrium i–v curve, because of change in the stored charge and change in the charge within the reverse-bias depletion region • Under forward-biased conditions, the stored minority charge causes “conductivity modulation” of the resistance of the lightly-doped n– region, reducing the device on-resistance
  • 35. Diode in OFF state: reversed-biased, blocking voltage 35 t i(t) 0 v(t) (1) t { p n– n + – E – v + Depletion region, reverse-biased v • Diode is reverse-biased • No stored minority charge: q = 0 • Depletion region blocks applied reverse voltage; charge is stored in capacitance of depletion region
  • 36. Turn-on transient 36 The current i(t) is determined by the converter circuit. This current supplies: • charge to increase voltage across depletion region • charge needed to support the on-state current • charge to reduce – on-resistance of n region t i(t) v(t) (1) (2) t Charge depletion region Diode is forward-biased. Supply minority charge to n– region to reduce on-resistance Diode conducts with low on-resistance On-state current determined by converter circuit
  • 37. Turn-off transient Fundamentals of Power Electronics Chapter 4: Switch realization 37 Removal of stored minority charge q p n- n + + + i (< 0) v + + + + +
  • 38. Diode turn-off transient continued 38 t i(t) 0 v(t) tr (1) (2) (3) (4) Area –Qr (5) (6) t di dt (4) Diode remains forward-biased. Remove stored charge in n– region (5) Diode is reverse-biased. Charge depletion region capacitance.
  • 39. 3 9 + – L iL(t) iA vA vB + – + – + – silicon diode iB fast transistor Vg t iL –Vg 0 iB(t) vB(t) area –Qr 0 tr t iL Vg 0 A i (t) A v (t) Qr 0 area ~QrVg area ~iLVgtr t0 t1 t2 transistor waveforms diode waveforms A p (t) = vA iA • Diode recovered stored charge Qr flows through transistor during transistor turn-on transition, inducing switching loss r • Q depends on diode on-state forward current, and on the rate-of-change of diode current during diode turn-off transition The diode switching transients induce switching loss in the transistor see Section 4.3.2
  • 40. 4 0 Switching Loss Calculation t iL –Vg 0 iB(t) vB(t) area –Qr 0 tr t iL Vg iA(t) vA(t) 0 Qr 0 t area ~QrVg area ~iLVgtr t0 t1 t2 transistor waveforms diode waveforms pA(t) = vA iA D W = vA(t) iA(t) dt switching transition WD  Vg (iL – iB(t))dt switching transition = Vg iL tr + Vg Qr Energy lost in transistor: With abrupt-recovery diode: Soft-recovery diode: (t2 – t1) >> (t1 – t0) Abrupt-recovery diode: (t2 – t1) << (t1 – t0) • Often, this is the largest component of switching loss
  • 41. Types of Power Diodes 41  Standard recovery • Reverse recovery time not specified, intended for 50/60Hz  Fast recovery and ultra-fast recovery • Reverse recovery time and recovered charge specified • Intended for converter applications  Schottky diode • A majority carrier device • Essentially no recovered charge • Model with equilibrium i-v characteristic, in parallel with depletion region capacitance • Restricted to low voltage (few devices can block 100V or more)
  • 42. Characteristics of several commercial power rectifier diodes 42 Part number R ated maxvoltage Fast recov ery rectifiers R atedavg current VF (typical) tr (max) 1N3913 SD453N25S20PC Ultra-fast recovery 400V 2500V rectifiers 30A 400A 1.1V 2.2V 400ns 2µs MUR815 150V 8A 0.975V 35ns MUR1560 600V 15A 1.2V 60ns RHRU100120 1200V 100A 2.6V 60ns S chottky rectifiers MBR6030L 30V 60A 0.48V 444CNQ045 45V 440A 0.69V 30CPQ150 150V 30A 1.19V
  • 43. Paralleling Diodes 43 + v1 – + v2 – i1 i2 i Attempts to parallel diodes, and share the current so that i1 = i2 = i/2, generally don’t work. Reason: thermal instability caused by temperature dependence of the diode equation. Increased temperature leads to increased current, or reduced voltage. One diode will hog the current. To get the diodes to share the current, heroic measures are required: • Select matched devices • Package on common thermal substrate • Build external circuitry that forces the currents to balance
  • 44. Ringing Induced by diode stored charge 44 + – L iL(t) + – + – vL(t) silicon diode i v (t) C B v (t) iB(t) t –V2 area – Qr t V1 0 vi(t) t t2 t3 t1 vB(t) 0 iL(t) –V2 0 • Diode is forward-biased while iL(t) > 0 • Negative inductor current removes diode stored charge Qr • When diode becomes reverse-biased, negative inductor current flows through capacitor C. • Ringing of L-C network is damped by parasitic losses. Ringing energy is lost.
  • 45. Energy Associated with ringing t –V2 area – Qr t V1 0 vi(t) t t2 t3 t1 B v (t) L i (t) –V2 0 0 Qr =– iL(t) dt t2 t3 Recovered charge is WL = vL(t) iL(t) dt t2 t3 Energy stored in inductor during interval t2 ≤ t ≤ t3 : Applied inductor voltage during interval t2 ≤ t ≤ t3 : vL(t) = L di (t) L dt =– V2 Hence, L W = L di (t) L dt L i (t) dt = t2 t3 2 L ( – V ) i (t) dt t2 t3 L 4 5 2 W = 1 L i2 (t ) = V Q L 3 2 r
  • 46. The Power MOSFET 46 Drain n n- n n p p Source Gate n n • Gate lengths approaching one micron • Consists of many small enhancement- mode parallel- connected MOSFET cells, covering the surface of the silicon wafer • Vertical current flow • n-channel device is shown
  • 47. MOSFET: Off state Fundamentals of Power Electronics Chapter 4: Switch realization 47 n n p p n n depletion region n- n – + source drain • p-n- junction is reverse-biased • off-state voltage appears across n- region
  • 48. MOSFET: on state Fundamentals of Power Electronics Chapter 4: Switch realization 48 n n- n n p p n n channel source drain drain current • p-n- junction is slightly reverse- biased • positive gate voltage induces conducting channel • drain current flows through n- region and conducting channel • on resistance = total resistances of n- region, conducting channel, source and drain contacts, etc.
  • 49. MOSFET body diode Fundamentals of Power Electronics Chapter 4: Switch realization n n n p p n n Body diode n- 4 9 source drain • p-n- junction forms an effective diode, in parallel with the channel • negative drain-to- source voltage can forward-bias the body diode • diode can conduct the full MOSFET rated current • diode switching speed not optimized —body diode is slow, Qr is large
  • 50. Typical MOSFET characteristics Fundamentals of Power Electronics Chapter 4: Switch realization 50 0A 5A 10A VGS ID 0V 5V 10V 15V off state on state • Off state: VGS < Vth • On state: VGS >> Vth • MOSFET can conduct peak currents well in excess of average current rating —characteristics are unchanged • on-resistance has positive temperature coefficient, hence easy to parallel
  • 51. A simple MOSFET equivalent circuit Fundamentals of Power Electronics Chapter 4: Switch realization 51 D S G Cds Cgs Cgd • Cgs : large, essentially constant • Cgd : small, highly nonlinear • Cds : intermediate in value, highly nonlinear • switching times determined by rate at which gate driver charges/discharges Cgs and Cgd ds ds C C (v ) = 0 1 + vds V0 Cds(vds)  C0 V vds 0 = 0 C' vds
  • 52. Switching loss caused by semiconductor output capacitances Fundamentals of Power Electronics Chapter 4: Switch realization 52 + – + – Vg Buck converter example Cds Cj C 2 ds j g W = 1 (C + C ) V2 Energy lost during MOSFET turn-on transition (assuming linear capacitances):
  • 53. MOSFET nonlinear Cds Fundamentals of Power Electronics Chapter 4: Switch realization 53 Cds(vds)  C0 V vds 0 = 0 C' vds Approximate dependence of incremental Cds on vds : WCds = vds Cds(vds) dvds 0 Energy stored in Cds at vds = VDS : VDS Cds W = 0 ds ds ds 0 vds iC dt= VDS 3 ds DS DS C' (v ) v dv = 2 C (V ) V2 4 3 ds DS C (V ) — same energy loss as linear capacitor having value
  • 54. Characteristics of several commercial power MOSFETs Fundamentals of Power Electronics Chapter 4: Switch realization 54 Part number R ated maxvoltage R atedavg current Ron Qg (typical) IRFZ48 60V 50A 0.018Ω 110nC IRF510 100V 5.6A 0.54Ω 8.3nC IRF540 100V 28A 0.077Ω 72nC APT10M25BNR 100V 75A 0.025Ω 171nC IRF740 400V 10A 0.55Ω 63nC MTM15N40E 400V 15A 0.3Ω 110nC APT5025BN 500V 23A 0.25Ω 83nC APT1001RBNR 1000V 11A 1.0Ω 150nC
  • 55. MOSFET: conclusions Fundamentals of Power Electronics Chapter 4: Switch realization 55 ● A majority-carrier device: fast switching speed ● Typical switching frequencies: tens and hundreds of kHz ● On-resistance increases rapidly with rated blocking voltage ● Easy to drive ● The device of choice for blocking voltages less than 500V ● 1000V devices are available, but are useful only at low power levels (100W) ● Part number is selected on the basis of on-resistance rather than current rating
  • 56. 4.2.3. Bipolar Junction Transistor (BJT) Fundamentals of Power Electronics Chapter 4: Switch realization 56 Collector n n- p Emitter Base n n n • Interdigitated base and emitter contacts • Vertical current flow • npn device is shown • minority carrier device • on-state: base-emitter and collector-base junctions are both forward-biased • on-state: substantial minority charge in p and n- regions, conductivity modulation
  • 57. BJT switching times Fundamentals of Power Electronics Chapter 4: Switch realization 57 + – VCC RL RB vs(t) iC(t) + CE v (t) – B i (t) + vBE(t) – t (1) (2) (3) (4) (5) vs(t) vBE(t) iB(t) CE v (t) iC(t) –Vs1 Vs2 –Vs1 0.7V 0 IB1 VCC IConRon 0 ICon –IB2 (6) (7) (8) (9)
  • 58. Ideal base current waveform Fundamentals of Power Electronics Chapter 4: Switch realization 58 iB(t) IB1 –IB2 IBon 0 t
  • 59. Current crowding due to excessive IB2 Fundamentals of Power Electronics Chapter 4: Switch realization 59 Collector n n- p Emitter Base n –IB2 – – p – – + + – – can lead to formation of hot spots and device failure
  • 60. BJT characteristics Fundamentals of Power Electronics Chapter 4: Switch realization 60 5A 10A IC 0V cutoff 0A 5V 10V 15V IB saturation region slope =  • Off state: IB = 0 • On state: IB > IC /β • Current gain β decreases rapidly at high current. Device should not be operated at instantaneous currents exceeding the rated value
  • 61. Breakdown voltages Fundamentals of Power Electronics Chapter 4: Switch realization 61 IC VCE IB =0 open emitter BVCBO BVCEO BVsus increasing IB BVCBO: avalanche breakdown voltage of base-collector junction, with the emitter open-circuited BVCEO: collector-emitter breakdown voltage with zero base current BVsus: breakdown voltage observed with positive base current In most applications, the off- state transistor voltage must not exceed BVCEO.
  • 62. Darlington-connected BJT Fundamentals of Power Electronics Chapter 4: Switch realization 62 Q1 Q2 D1 • Increased current gain, for high-voltage applications • In a monolithic Darlington device, transistors Q1 and Q2 are integrated on the same silicon wafer • Diode D1 speeds up the turn-off process, by allowing the base driver to actively remove the stored charge of both Q1 and Q2 during the turn-off transition
  • 63. Conclusions: BJT Fundamentals of Power Electronics Chapter 4: Switch realization 63 ● BJT has been replaced by MOSFET in low-voltage (<500V) applications ● BJT is being replaced by IGBT in applications at voltages above 500V ● A minority-carrier device: compared with MOSFET, the BJT exhibits slower switching, but lower on-resistance at high voltages
  • 64. 4.2.4. The Insulated Gate Bipolar Transistor (IGBT) Fundamentals of Power Electronics Chapter 4: Switch realization 64 Collector p n- n n p p Emitter Gate n n minority carrier injection • A four-layer device • Similar in construction to MOSFET, except extra p region • On-state: minority carriers are injected into n- region, leading to conductivity modulation • compared with MOSFET: slower switching times, lower on-resistance, useful at higher voltages (up to 1700V)
  • 65. The IGBT Fundamentals of Power Electronics Chapter 4: Switch realization 65 collector emitter Symbol gate C E G i2 i1 p n- n n p p n n i2 i1 Equivalent circuit Location of equivalent devices
  • 66. Current tailing in IGBTs Fundamentals of Power Electronics Chapter 4: Switch realization 66 IGBT waveforms diode waveforms t t t pA(t) = vA iA iL Vg vA(t) A i (t) 0 0 iB(t) vB(t) 0 0 iL –Vg Vg iL t0 area Woff t1 t2 t3 C E G i2 i1
  • 67. Switching loss due to current-tailing in IGBT Fundamentals of Power Electronics Chapter 4: Switch realization 67 + – L iL(t) iA vA vB + – + – DT T s s + – ideal diode iB physical IGBT gate driver Vg IGBT waveforms diode waveforms t t t pA(t) = vA iA iL Vg A v (t) iA(t) 0 0 iB(t) vB(t) 0 0 iL –Vg Vg iL t0 area Woff t1 t2 t3 Example: buck converter with IGBT transistor turn-off transition 1 Psw = T s pA(t) dt = (Won + Woff ) fs switching transitions
  • 68. Characteristics of several commercial devices Fundamentals of Power Electronics Chapter 4: Switch realization 68 Part number R ated maxvoltage Single-chip dev ices R atedavg current VF (typical) tf (typical) HGTG32N60E2 HGTG30N120D2 600V 1200V 32A 30A 2.4V 3.2A 0.62µs 0.58µs Multiple-chip power modules CM400HA-12E 600V 400A 2.7V 0.3µs CM300HA-24E 1200V 300A 2.7V 0.3µs
  • 69. Conclusions: IGBT Fundamentals of Power Electronics Chapter 4: Switch realization 69 ● Becoming the device of choice in 500 to 1700V+ applications, at power levels of 1-1000kW ● Positive temperature coefficient at high current —easy to parallel and construct modules ● Forward voltage drop: diode in series with on-resistance. 2-4V typical ● Easy to drive —similar to MOSFET ● Slower than MOSFET, but faster than Darlington, GTO, SCR ● Typical switching frequencies: 3-30kHz ● IGBT technology is rapidly advancing: ● 3300 V devices: HVIGBTs ● 150 kHz switching frequencies in 600 V devices
  • 70. 4.2.5. Thyristors (SCR, GTO, MCT) Fundamentals of Power Electronics Chapter 4: Switch realization 70 The SCR symbol Anode (A) Cathode (K) Gate (G) equiv circuit Anode Cathode Gate Q1 Q2 A n- p G K n n p K Q1 Q2 construction
  • 71. The Silicon Controlled Rectifier (SCR) Fundamentals of Power Electronics Chapter 4: Switch realization 71 • Positive feedback —a latching device • A minority carrier device • Double injection leads to very low on-resistance, hence low forward voltage drops attainable in very high voltage devices • Simple construction, with large feature size • Cannot be actively turned off • A voltage-bidirectional two-quadrant switch • 5000-6000V, 1000-2000A devices iA vAK G i = 0 increasing iG forward conducting reverse blocking forward blocking reverse breakdown
  • 72. Why the conventional SCR cannot be turned off via gate control Fundamentals of Power Electronics Chapter 4: Switch realization 72 A n- p G K n n p K – + – – –iG iA • Large feature size • Negative gate current induces lateral voltage drop along gate-cathode junction • Gate-cathode junction becomes reverse-biased only in vicinity of gate contact
  • 73. The Gate Turn-Off Thyristor (GTO) Fundamentals of Power Electronics Chapter 4: Switch realization 73 • An SCR fabricated using modern techniques —small feature size • Gate and cathode contacts are highly interdigitated • Negative gate current is able to completely reverse-bias the gate- cathode junction Turn-off transition: • Turn-off current gain: typically 2-5 • Maximum controllable on-state current: maximum anode current that can be turned off via gate control. GTO can conduct peak currents well in excess of average current rating, but cannot switch off
  • 74. The MOS-Controlled Thyristor (MCT) Fundamentals of Power Electronics Chapter 4: Switch realization 74 Cathode p p- n Anode Gate n n n 3 Q channel 4 Q channel • Still an emerging device, but some devices are commercially available • p-type device • A latching SCR, with added built-in MOSFETs to assist the turn-on and turn-off processes • Small feature size, highly interdigitated, modern fabrication
  • 75. The MCT: equivalent circuit Fundamentals of Power Electronics Chapter 4: Switch realization 75 Anode Cathode Gate Q1 Q2 Q3 Q4 • Negative gate-anode voltage turns p-channel MOSFET Q3 on, causing Q1 and Q2 to latchON • Positive gate-anode voltage turns n-channel 4 MOSFET Q on, reverse- biasing the base-emitter junction of Q2 and turning off the device • Maximum current that can be interrupted is limited by the on-resistance of Q4
  • 76. Summary: Thyristors Fundamentals of Power Electronics Chapter 4: Switch realization 76 • The thyristor family: double injection yields lowest forward voltage drop in high voltage devices. More difficult to parallel than MOSFETs and IGBTs • The SCR: highest voltage and current ratings, low cost, passive turn-off transition • The GTO: intermediate ratings (less than SCR, somewhat more than IGBT). Slower than IGBT. Slower than MCT. Difficult to drive. • The MCT: So far, ratings lower than IGBT. Slower than IGBT. Easy to drive. Second breakdown problems? Still an emerging device.
  • 77. 4.3.Switching loss Fundamentals of Power Electronics Chapter 4: Switch realization 77 • Energy is lost during the semiconductor switching transitions, via several mechanisms: • Transistor switching times • Diode stored charge • Energy stored in device capacitances and parasitic inductances • Semiconductor devices are charge controlled • Time required to insert or remove the controlling charge determines switching times
  • 78. 4.3.1. Transistor switching with clamped inductive load Fundamentals of Power Electronics Chapter 4: Switch realization 78 + – L iL(t) iA vA vB + – + – DT T s s + – ideal diode iB physical MOSFET gate driver Vg transistor waveforms diode waveforms t t t pA(t) = vA iA iL Vg A v (t) A i (t) 0 0 iB(t) vB(t) 0 0 iL –Vg area Woff Vg iL t0 t1 t2 Buck converter example transistor turn-off transition off 2 g L 2 0 W = 1 V i (t – t ) vB(t) = vA(t) – Vg iA(t) + iB(t) = iL
  • 79. Switching loss induced by transistor turn-off transition 2 Woff = 1 VgiL (t2 –t0) Psw = 1 Ts pA(t) dt = (Won + Woff ) fs switching transitions Fundamentals of Power Electronics Chapter 4: Switch realization 79 Energy lost during transistor turn-off transition: Similar result during transistor turn-on transition. Average power loss:
  • 80. Switching loss due to current-tailing in IGBT Fundamentals of Power Electronics Chapter 4: Switch realization 80 + – L iL(t) iA vA vB + – + – DT T s s + – ideal diode iB physical IGBT gate driver Vg IGBT waveforms diode waveforms t t t pA(t) = vA iA iL Vg A v (t) iA(t) 0 0 iB(t) vB(t) 0 0 iL –Vg Vg iL t0 area Woff t1 t2 t3 Example: buck converter with IGBT transistor turn-off transition 1 Psw = T s pA(t) dt = (Won + Woff ) fs switching transitions
  • 81. Cht apter 4: Switch realization 8 1 4.3.2. Diode recovered charge + – L iL(t) iA vB + – vA + – + – silicon diode iB fast transistor Vg t iL –Vg 0 iB(t) vB(t) area –Qr 0 tr t iL Vg 0 iA(t) A v (t) Qr 0 area ~QrVg area ~iLVgtr t0 t1 t2 transistor waveforms diode waveforms A p (t) = vA iA • Diode recovered stored charge Qr flows through transistor during transistor turn-on transition, inducing switching loss r • Q depends on diode on-state forward current, and on the rate-of-change of diode current during diode turn-off transition Fundamentals of Power Electronics
  • 82. Fundamentals of Power Electronics Chapter 4: Switch realization 8 2 Switching loss calculation t iL –Vg 0 iB(t) vB(t) area –Qr 0 tr t iL Vg iA(t) vA(t) 0 Qr 0 t area ~QrVg area ~iLVgtr t0 t1 t2 transistor waveforms diode waveforms pA(t) = vA iA D W = vA(t) iA(t) dt switching transition WD  Vg (iL – iB(t))dt switching transition = Vg iL tr + Vg Qr Energy lost in transistor: With abrupt-recovery diode: Soft-recovery diode: (t2 – t1) >> (t1 – t0) Abrupt-recovery diode: (t2 – t1) << (t1 – t0) • Often, this is the largest component of switching loss
  • 83. 4.3.3. Device capacitances, and leakage, package, and stray inductances Fundamentals of Power Electronics Chapter 4: Switch realization 83 • Capacitances that appear effectively in parallel with switch elements are shorted when the switch turns on. Their stored energy is lost during the switch turn-on transition. • Inductances that appear effectively in series with switch elements are open-circuited when the switch turns off. Their stored energy is lost during the switch turn-off transition. Total energy stored in linear capacitive and inductive elements: C W = capacitive 2 elements i i L j j 1 CV2 W = 1 L I2   inductive 2 elements
  • 84. Example: semiconductor output capacitances Fundamentals of Power Electronics Chapter 4: Switch realization 84 + – + – Vg Buck converter example Cds Cj C 2 ds j g W = 1 (C + C ) V2 Energy lost during MOSFET turn-on transition (assuming linear capacitances):
  • 85. MOSFET nonlinear Cds Fundamentals of Power Electronics Chapter 4: Switch realization 85 Cds(vds)  C0 V vds 0 = 0 C' vds Approximate dependence of incremental Cds on vds : WCds = vds Cds(vds) dvds 0 Energy stored in Cds at vds = VDS : VDS Cds W = 0 ds ds ds 0 vds iC dt= VDS 3 ds DS DS C' (v ) v dv = 2 C (V ) V2 4 3 ds DS C (V ) — same energy loss as linear capacitor having value
  • 86. Some other sources of this type of switching loss Fundamentals of Power Electronics Chapter 4: Switch realization 86 Schottky diode • Essentially no stored charge • Significant reverse-biased junction capacitance Transformer leakage inductance • Effective inductances in series with windings • A significant loss when windings are not tightly coupled Interconnection and package inductances • Diodes • Transistors • A significant loss in high current applications
  • 87. Ringing induced by diode stored charge Fundamentals of Power Electronics Chapter 4: Switch realization 87 + – L iL(t) + – + – vL(t) silicon diode i v (t) C B v (t) iB(t) t –V2 area – Qr t V1 0 vi(t) t t2 t3 t1 vB(t) 0 iL(t) –V2 0 • Diode is forward-biased while iL(t) > 0 • Negative inductor current removes diode stored charge Qr • When diode becomes reverse-biased, negative inductor current flows through capacitor C. • Ringing of L-C network is damped by parasitic losses. Ringing energy is lost.
  • 88. Energy associated with ringing Fundamentals of Power Electronics Chapter 4: Switch realization 88 t –V2 area – Qr t V1 0 vi(t) t t2 t3 t1 B v (t) L i (t) –V2 0 0 Qr =– iL(t) dt t2 t3 Recovered charge is WL = vL(t) iL(t) dt t2 t3 Energy stored in inductor during interval t2 ≤ t ≤ t3 : Applied inductor voltage during interval t2 ≤ t ≤ t3 : vL(t) = L di (t) L dt =– V2 Hence, L W = L di (t) L dt L i (t) dt = t2 t3 2 L ( – V ) i (t) dt t2 t3 L 2 W = 1 L i2 (t ) = V Q L 3 2 r
  • 89. 4.3.4. Efficiency vs. switching frequency Fundamentals of Power Electronics Chapter 4: Switch realization 89 Add up all of the energies lost during the switching transitions of one switching period: Wtot = Won + Woff + WD + WC + WL + ... Average switching power loss is Psw = Wtot fsw Total converter loss can be expressed as Ploss where = Pcond + Pfixed + Wtot fsw Pfixed = fixed losses (independent of load and fsw) Pcond = conduction losses
  • 90. Efficiency vs. switching frequency Fundamentals of Power Electronics Chapter 4: Switch realization 90 Ploss = Pcond + Pfixed + Wtot fsw fcrit = Pcond + Pfixed Wtot 50% 60% 70% 80% 90% 100%  100kHz fsw 10kHz 1MHz dc asymptote f cr it Switching losses are equal to the other converter losses at the critical frequency This can be taken as a rough upper limit on the switching frequency of a practical converter. For fsw > fcrit, the efficiency decreases rapidly with frequency.
  • 91. Summary of chapter 4 Fundamentals of Power Electronics Chapter 4: Switch realization 91 1. How an SPST ideal switch can be realized using semiconductor devices depends on the polarity of the voltage which the devices must block in the off-state, and on the polarity of the current which the devices must conduct in the on-state. 2. Single-quadrant SPST switches can be realized using a single transistor or a single diode, depending on the relative polarities of the off-state voltage and on-state current. 3. Two-quadrant SPST switches can be realized using a transistor and diode, connected in series (bidirectional-voltage) or in anti-parallel (bidirectional- current). Several four-quadrant schemes are also listed here. 4. A “synchronous rectifier” is a MOSFET connected to conduct reverse current, with gate drive control as necessary. This device can be used where a diode would otherwise be required. If a MOSFET with sufficiently low Ron is used, reduced conduction loss is obtained.
  • 92. Summary of chapter 4 Fundamentals of Power Electronics Chapter 4: Switch realization 92 5. Majority carrier devices, including the MOSFET and Schottky diode, exhibit very fast switching times, controlled essentially by the charging of the device capacitances. However, the forward voltage drops of these devices increases quickly with increasing breakdown voltage. 6. Minority carrier devices, including the BJT, IGBT, and thyristor family, can exhibit high breakdown voltages with relatively low forward voltage drop. However, the switching times of these devices are longer, and are controlled by the times needed to insert or remove stored minority charge. 7. Energy is lost during switching transitions, due to a variety of mechanisms. The resulting average power loss, or switching loss, is equal to this energy loss multiplied by the switching frequency. Switching loss imposes an upper limit on the switching frequencies of practical converters.
  • 93. Summary of chapter 4 Fundamentals of Power Electronics Chapter 4: Switch realization 93 8. The diode and inductor present a “clamped inductive load” to the transistor. When a transistor drives such a load, it experiences high instantaneous power loss during the switching transitions. An example where this leads to significant switching loss is the IGBT and the “current tail” observed during its turn-off transition. 9. Other significant sources of switching loss include diode stored charge and energy stored in certain parasitic capacitances and inductances. Parasitic ringing also indicates the presence of switching loss.