1 1 1 Capacitor and Current Drive ● Current drive: Excitation of capacitor with current Source...
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Transcript of 1 1 1 Capacitor and Current Drive ● Current drive: Excitation of capacitor with current Source...
![Page 1: 1 1 1 Capacitor and Current Drive ● Current drive: Excitation of capacitor with current Source Inductor and its Circuit Properties.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bfc41a28abf838ca5c2d/html5/thumbnails/1.jpg)
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Capacitor and Current Drive
r
S
d ( )q t
( )Cv t
C
( )Ci t
● Current drive: Excitation of capacitor with current Source
( )Ci t
SI ( )Cv t
( )LV t
( )Ci t
t
tInd
uct
or
and
its
Cir
cuit
Pro
pe
rtie
s
![Page 2: 1 1 1 Capacitor and Current Drive ● Current drive: Excitation of capacitor with current Source Inductor and its Circuit Properties.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bfc41a28abf838ca5c2d/html5/thumbnails/2.jpg)
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Capacitive Switching Circuit #1
CSI
( )Ci t
( )Cv t
Open
Closed
( )Cv t
( )Ci t
Ca
pac
itor
and
its
Circ
uit
Pro
pe
rtie
s
![Page 3: 1 1 1 Capacitor and Current Drive ● Current drive: Excitation of capacitor with current Source Inductor and its Circuit Properties.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bfc41a28abf838ca5c2d/html5/thumbnails/3.jpg)
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Capacitive Switching Circuit #2
SI( )Ci t
( )Cv t
Open
Closed Closed
( )Ci t
( )Cv t
Open
Ca
pac
itor
and
its
Circ
uit
Pro
pe
rtie
s
![Page 4: 1 1 1 Capacitor and Current Drive ● Current drive: Excitation of capacitor with current Source Inductor and its Circuit Properties.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bfc41a28abf838ca5c2d/html5/thumbnails/4.jpg)
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Charge Balance Condition: Amp-sec Balance Condition
● Consider an excitation of capacitor with periodic ac current
● Change in charge q(t)=C vC(t)
( )Ci t
1T
2T1I
2I
0A
( )Cv t
( )q t ( )Ci t
( )q t
Ca
pac
itor
and
its
Circ
uit
Pro
pe
rtie
s
![Page 5: 1 1 1 Capacitor and Current Drive ● Current drive: Excitation of capacitor with current Source Inductor and its Circuit Properties.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bfc41a28abf838ca5c2d/html5/thumbnails/5.jpg)
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Generalization of Amp-sec Balance Condition
( )Ci tAverage { ( )} 0Ci t
( )Ci t
Ca
pac
itor
and
its
Circ
uit
Pro
pe
rtie
s
![Page 6: 1 1 1 Capacitor and Current Drive ● Current drive: Excitation of capacitor with current Source Inductor and its Circuit Properties.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bfc41a28abf838ca5c2d/html5/thumbnails/6.jpg)
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Implication
● Whenever possible, a switching circuit establishes a steady-state equilibrium by adjusting the circuit variables to satisfy the amp-sec balance condition on the capacitor in the circuit.
● A circuit that violates the amp-sec balance condition can be easily devised, but the circuit eventually destroys itself by an over-voltage condition on the capacitor
SI
( )Ci t
( )Cv t
Open
Closed Closed
Open
Ca
pac
itor
and
its
Circ
uit
Pro
pe
rtie
s
![Page 7: 1 1 1 Capacitor and Current Drive ● Current drive: Excitation of capacitor with current Source Inductor and its Circuit Properties.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bfc41a28abf838ca5c2d/html5/thumbnails/7.jpg)
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Capacitive Switching Circuit #3
1SI
Closed
Open
( )Ci t
( )Cv t
2SI
Q D
( )Ci t
( )Cv t Open
Case #1: IS1=25A IS2=25A
Ca
pac
itor
and
its
Circ
uit
Pro
pe
rtie
s
![Page 8: 1 1 1 Capacitor and Current Drive ● Current drive: Excitation of capacitor with current Source Inductor and its Circuit Properties.](https://reader036.fdocuments.in/reader036/viewer/2022062322/5697bfc41a28abf838ca5c2d/html5/thumbnails/8.jpg)
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( )Ci t
( )Cv t
( )Ci t
( )Cv t
Closed
Open OpenClosed
Open Open
Case #2: IS1=30A IS2=20A Case #3: IS1=20A IS2=30A
Capacitive Switching Circuit #3C
ap
acito
r a
nd it
s C
ircu
it P
rop
ert
ies