Power Electroni
cs
Chapter 5
DC to AC Converters
( Inverters )
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Applications of Inverters
Conversion of electric power from DC type energy
sources to AC type load
– Battery
– Photovoltaic cell (Solar cell)
– Fuel cell
As a part of composite converter
– AC-DC-AC frequency converter (for AC motor drive)
– AC-DC-AC constant-voltage constant-frequency converter (for
uninterruptable power supplies)
– AC-DC-AC Converters for induction heating
– AC-DC-AC-DC switching power supplies
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Outline
5.1 Commutation
5.2 Voltage source inverters
5.3 Current source inverters
5.4 Multiple-inverter connections and multi-level inverters
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5.1 Commutation types
Basic operation principle of inverters
t
u
o
i
o
t
1
t
2
- P B E
S
1
S
2
S
3
S
4
i
o
u
o
U
d
A classification of inverters
– Square-wave inverters (are discussed in this chapter)
– PWM inverters ( will be discussed in Chapter 6)
The concept of commutation
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4 types of commutation
Device commutation:
Fully-controlled devices: GTO, IGBT, MOSFET
Line commutation
Phase-controlled rectifier
Phase-controlled AC controller
Thyristor cycloconverter
Load commutation
Forced commutation
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Load commutation
Condition: Load current is leading load voltage
Application: capacitive load, synchronous motor
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Forced commutation
(capacitance commutation)
Direct-Coupled With Coupling-Inductor
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Another classification of commutations
Self-commutation
Device commutation
Forced commutation
Line commutation
Load commutation
4 types of Commutations
For fully-controlled
devices
For thyristors
External
commutation
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2 classes of inverters
Voltage Source Inverter
(VSI)
Current Source Inverter
(CSI)
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5.2 Voltage source inverter (VSI)
+
C
R
L
U
d
V
1
V
2
V
3
V
4
VD
1
VD
2
VD
3
VD
4
u
o
i
o
Features
DC side is constant voltage, low impedance (voltage
source, or bulk cap)
AC side voltage is square wave or quasi-square wave.
AC side current is determined by the load.
Anti-parallel diodes are necessary to provide energy
feedback path.
(freewheeling diodes , feedback diodes)
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Single-phase half bridge VSI
t
t
O
O
ON
u
o
U
m
U
m
i
o
t
1
t
2
t
3
t
4
t
5
t
6
V
1
V
2
V
1
V
2
VD
1
VD
2
VD
1
VD
2
R
L
U
d
i
o
u
o
V
1
V
2
VD
1
VD
2
U
d
2
U
d
2
The current conducting path is determined by the
polarity of load voltage and load current. (This is true
for analysis of many power electronics circuits.)
The magnitude of output square-wave voltage is U
d
/2.
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Single-phase full bridge VSI
Operation principle
+
C
R
L
U
d
V
1
V
2
V
3
V
4
VD
1
VD
2
VD
3
VD
4
u
o
i
o
The magnitude of output square-wave voltage is Ud.
The effective value of output voltage (or fundamental
output voltage) can be changed by changing Ud.
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Single-phase full bridge VSI
Quantitative analysis
Fourier series extension of output voltage
Magnitude of output voltage fundamental component
Effective value of output voltage fundamental component
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U
u ωωω
π
5sin
5
1
3sin
3
1
sin
4
d
o
d
d
o1m
27.1
4
U
U
U ==
π
d
d
1o
9.0
22
U
U
U ==
π
(5-1)
(5-2)
(5-3)
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Single-phase full bridge VSI
Output voltage control by phase-shift
t
O
t
O
t
O
t
O
t
O
θ
u
G1
u
G2
u
G3
u
G4
u
o
i
o
t
1
t
2
t
3
i
o
u
o
+
C
R
L
U
d
V
1
V
2
V
3
V
4
VD
1
VD
2
VD
3
VD
4
u
o
i
o
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Inverter with center-tapped transformer
—push-pull inverter
- P B E
+
i
o
u
o
U
d
V
1
V
2
VD
1
VD
2
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Three-phase VSI
180
o
conduction
Dead time (blanking time) to
avoid “short through”
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Three-phase VSI
Basic equations to obtain voltage waveforms
For phase voltage of the load
0=++
WNVNUN
UUU
For line voltage
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Three-phase VSI
Fourier series extension of output line-to-line voltage
Magnitude of output voltage (line-to-line) fundamental component
Effective value of output voltage (line-to-line) fundamental
component
Quantitative analysis
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∑
n
k
tn
n
t
U
ttttt
U
u
ωω
π
ωωωωω
π
sin)1(
1
sin
32
13sin
13
1
11sin
11
1
7sin
7
1
5sin
5
1
sin
32
d
d
UV
"
d
d
UV1m
1.1
32
U
U
U ==
π
dd
UV1m
UV1
78.0
6
2
UU
U
U ===
π
(5-8)
(5-10)
(5-11)
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5.3 Current source inverter (CSI)
Features
DC side is constant
current, high impedance
(current source, or large
inductor)
AC side current is quasi-
square wave. AC side
voltage is determined by the load.
No anti-parallel diodes are needed. sometimes series
diodes are needed to block reverse voltage for other
power semiconductor devices.
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Single-phase bridge CSI
A
C
RL
L
d
I
d
VT
1
VT
2
VT
3
VT
4
L
T1
L
T2
L
T3
L
T4
u
o
i
o
Switching frequency is a little higher
than the resonant frequency so that the
load becomes capacitive and load
current is leading voltage to realize
load commutation.
Parallel Resonant Inverter
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Three-phase self-commutated CSI
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Three-phase force-commutated CSI
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Three-phase load-commutated CSI
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5.4 Multiple-inverter connections
and multi-level inverters
Series connection of 2 single-phase VSIs
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Series connection of 2 3-phase VSIs
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Multi-level Inverters
3-level inverter