0195136047.pdf

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770 BASIC CONTROL SYSTEMS


CS

Figure 16.1.18Symbol of a self-commutated semiconductor switch.

A common symbol for theself-commutated semiconductor switchis shown in Figure 16.1.18.
The control signal (either voltage or current) is denoted by CS, and the diode gives the direction
in which the switch can conduct current. GTOs, power transistors, and MOSFETs are classified
as self-commutated semiconductor devices because they can be turned off by their respective
control signals: GTOs by a gate pulse, a power transistor by a base drive, and a MOSFET by
a gate-to-source voltage. A thyristor, on the other hand, is a naturally commutated device that
cannot be turned off by its gate signal. A thyristor combined with a forced commutation circuit
behaves like a self-commutated semiconductor device, however. The self-commutation capability
makes its turnoff independent of the polarity of the source voltage, the load voltage, or the nature
of load. Self-commutated semiconductor switches are suitable for applications for converters fed
from a dc source, such as inverters and choppers.
Figure 16.1.19 shows a three-phase voltage-source inverter circuit, along with the corre-
sponding voltage and current waveforms. The motor connected to terminalsA, B,andCcan have
wye or delta connection. Operating as a six-step inverter, the inverter generates a cycle of line
or phase voltage in six steps. The following Fourier-series expressions describe the voltagesvAB
andvAN:

vAB=

2


3
π

Vd

[
sin

(
ωt+

π
6

)
+

1
5

sin

(
5 ωt−

π
6

)
+

1
7

sin

(
7 ωt+

π
6

)
+...

]
(16.1.46)

vAN=

2
π

Vd

[
sinωt+

1
5

sin 5ωt+

1
7

sin 7 ωt+···

]
(16.1.47)

The rms value of the fundamental component of the phase voltagevANis given by

S 4

iA A

S 1

iC 1

O Vd

+


(a)

iC 4

D 1

D 4

S 6

B

S 3

iC 3

iC 6

D 3

D 6

S 2

C

S 5

iC 5

iC 2

D 5

D 2

Figure 16.1.19Three-phase voltage-source inverter circuit with corresponding voltage
and current waveforms.
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