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Power Electronics

Chapter 5
DC to AC Converters
( Inverters )
Power Electronics

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
2
Power Electronics

Outline
5.1 Commutation
5.2 Voltage source inverters
5.3 Current source inverters
5.4 Multiple-inverter connections and multi-level inverters

3
Power Electronics

5.1 Commutation types
Basic operation principle of inverters
uo
S1

Ud
S2

io

Load

uo

S3

S

4

io
t1 t2

t

A classification of inverters
– Square-wave inverters (are discussed in this chapter)
– PWM inverters ( will be discussed in Chapter 6)

The concept of commutation
4
Power Electronics

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

5
Power Electronics

Load commutation

Condition: Load current is leading load voltage
Application: capacitive load, synchronous motor
6
Power Electronics

Forced commutation
(capacitance commutation)

Direct-Coupled

With Coupling-Inductor

7
Power Electronics

Another classification of commutations
4 types of Commutations
Device commutation

Self-commutation

For fully-controlled
devices

Forced commutation

Line commutation

External
commutation

For thyristors

Load commutation

8
Power Electronics

2 classes of inverters
Voltage Source Inverter
(VSI)

Current Source Inverter
(CSI)

9
Power Electronics

5.2 Voltage source inverter (VSI)
+
V3
VD 1
C

V1

R io

Ud

VD3

L

uo

V2
VD 2

VD4
V4

-

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)

10
Power Electronics

Single-phase half bridge VSI
V1

Ud
2

VD
io R

Ud
Ud
2

1

L

uo
VD

V
2

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 Ud/2.
11
Power Electronics

Single-phase full bridge VSI
Operation principle
+
V3

VD 3

VD1
C

V1

R io

Ud

L

uo

V2
VD2

VD 4
V4

-

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.
12
Power Electronics

Single-phase full bridge VSI
Quantitative analysis
Fourier series extension of output voltage

4U d ⎛
1
1
⎞
sin ωt + sin 3ωt + sin 5ωt + ⎟
(5-1)
⎜
π ⎝
5
3
⎠
Magnitude of output voltage fundamental component
uo =

U o1m =

4U d

π

= 1.27U d

(5-2)

Effective value of output voltage fundamental component

U o1 =

2 2U d

π

= 0.9U d

(5-3)

13
Power Electronics

Single-phase full bridge VSI
Output voltage control by phase-shift
uG1

+

O
V3
VD1
C

V1

R io

U

d

L

uo

V2
VD2

-

VD 3

VD 4
V4

t

uG2
O
uG3
O
uG4

t

θ

t

O
uo
io
O

t
io
t1 t2

uo

t3

t

14
Power Electronics

Inverter with center-tapped transformer
—push-pull inverter
Load

io

uo

+
Ud

-

V1

V2

VD1
VD2

15
Power Electronics

Three-phase VSI

180o conduction
Dead time (blanking time) to
avoid “shoot through”

16
Power Electronics

Three-phase VSI
Basic equations to obtain voltage waveforms
For line voltage

For phase voltage of the load

U UN + U VN + U WN = 0

17
Power Electronics

Three-phase VSI
Quantitative analysis
Fourier series extension of output line-to-line voltage
u UV =
=

2 3U d ⎛
1
1
1
1
sin 11ω t +
sin 13 ω t −
⎜ sin ω t − sin 5ω t − sin 7ω t +
π
13
5
7
11
⎝
2 3U d ⎡
⎢ sin ω t +
π
⎣

∑
n

⎤
1
( − 1) k sin n ω t ⎥
n
⎦

⎞
⎟
⎠

(5-8)

Magnitude of output voltage (line-to-line) fundamental component
2 3U d
U UV1m =
= 1.1U d
(5-10)
π
Effective value of output voltage (line-to-line) fundamental
component
U UV1 =

U UV1m
2

=

6

π

U d = 0.78U d

(5-11)

18
Power Electronics

5.3 Current source inverter (CSI)
Features
DC side is constant
current, high impedance
(current source, or large
inductor)
AC side current is quasisquare 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.

19
Power Electronics

Single-phase bridge CSI
Parallel Resonant Inverter
Ld

Id

A

VT1

VT3
C

LT1

io

LT2
R
VT2

LT3

uo

LT4
L
VT4

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.
20
Power Electronics

Three-phase self-commutated CSI

120o conduction
21
Power Electronics

Three-phase force-commutated CSI

22
Power Electronics

Three-phase load-commutated CSI

23
Power Electronics

5.4 Multiple-inverter connections
and multi-level inverters
Series connection of 2 single-phase VSIs

24
Power Electronics

Series connection of 2 3-phase VSIs

25
Power Electronics

Multi-level Inverters
3-level inverter

26

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Chapter5

  • 1. Power Electronics Chapter 5 DC to AC Converters ( Inverters )
  • 2. Power Electronics 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 2
  • 3. Power Electronics Outline 5.1 Commutation 5.2 Voltage source inverters 5.3 Current source inverters 5.4 Multiple-inverter connections and multi-level inverters 3
  • 4. Power Electronics 5.1 Commutation types Basic operation principle of inverters uo S1 Ud S2 io Load uo S3 S 4 io t1 t2 t A classification of inverters – Square-wave inverters (are discussed in this chapter) – PWM inverters ( will be discussed in Chapter 6) The concept of commutation 4
  • 5. Power Electronics 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 5
  • 6. Power Electronics Load commutation Condition: Load current is leading load voltage Application: capacitive load, synchronous motor 6
  • 7. Power Electronics Forced commutation (capacitance commutation) Direct-Coupled With Coupling-Inductor 7
  • 8. Power Electronics Another classification of commutations 4 types of Commutations Device commutation Self-commutation For fully-controlled devices Forced commutation Line commutation External commutation For thyristors Load commutation 8
  • 9. Power Electronics 2 classes of inverters Voltage Source Inverter (VSI) Current Source Inverter (CSI) 9
  • 10. Power Electronics 5.2 Voltage source inverter (VSI) + V3 VD 1 C V1 R io Ud VD3 L uo V2 VD 2 VD4 V4 - 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) 10
  • 11. Power Electronics Single-phase half bridge VSI V1 Ud 2 VD io R Ud Ud 2 1 L uo VD V 2 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 Ud/2. 11
  • 12. Power Electronics Single-phase full bridge VSI Operation principle + V3 VD 3 VD1 C V1 R io Ud L uo V2 VD2 VD 4 V4 - 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. 12
  • 13. Power Electronics Single-phase full bridge VSI Quantitative analysis Fourier series extension of output voltage 4U d ⎛ 1 1 ⎞ sin ωt + sin 3ωt + sin 5ωt + ⎟ (5-1) ⎜ π ⎝ 5 3 ⎠ Magnitude of output voltage fundamental component uo = U o1m = 4U d π = 1.27U d (5-2) Effective value of output voltage fundamental component U o1 = 2 2U d π = 0.9U d (5-3) 13
  • 14. Power Electronics Single-phase full bridge VSI Output voltage control by phase-shift uG1 + O V3 VD1 C V1 R io U d L uo V2 VD2 - VD 3 VD 4 V4 t uG2 O uG3 O uG4 t θ t O uo io O t io t1 t2 uo t3 t 14
  • 15. Power Electronics Inverter with center-tapped transformer —push-pull inverter Load io uo + Ud - V1 V2 VD1 VD2 15
  • 16. Power Electronics Three-phase VSI 180o conduction Dead time (blanking time) to avoid “shoot through” 16
  • 17. Power Electronics Three-phase VSI Basic equations to obtain voltage waveforms For line voltage For phase voltage of the load U UN + U VN + U WN = 0 17
  • 18. Power Electronics Three-phase VSI Quantitative analysis Fourier series extension of output line-to-line voltage u UV = = 2 3U d ⎛ 1 1 1 1 sin 11ω t + sin 13 ω t − ⎜ sin ω t − sin 5ω t − sin 7ω t + π 13 5 7 11 ⎝ 2 3U d ⎡ ⎢ sin ω t + π ⎣ ∑ n ⎤ 1 ( − 1) k sin n ω t ⎥ n ⎦ ⎞ ⎟ ⎠ (5-8) Magnitude of output voltage (line-to-line) fundamental component 2 3U d U UV1m = = 1.1U d (5-10) π Effective value of output voltage (line-to-line) fundamental component U UV1 = U UV1m 2 = 6 π U d = 0.78U d (5-11) 18
  • 19. Power Electronics 5.3 Current source inverter (CSI) Features DC side is constant current, high impedance (current source, or large inductor) AC side current is quasisquare 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. 19
  • 20. Power Electronics Single-phase bridge CSI Parallel Resonant Inverter Ld Id A VT1 VT3 C LT1 io LT2 R VT2 LT3 uo LT4 L VT4 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. 20
  • 24. Power Electronics 5.4 Multiple-inverter connections and multi-level inverters Series connection of 2 single-phase VSIs 24
  • 25. Power Electronics Series connection of 2 3-phase VSIs 25