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| BQ24740_14 Datasheet, PDF (24/33 Pages) Texas Instruments – Host-Controlled Multi-Chemistry Battery Charger | |||
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bq24740
SLUS736C â DECEMBER 2006 â REVISED MARCH 2009............................................................................................................................................... www.ti.com
APPLICATION INFORMATION
During the adapter hot plug-in, the ACFET has not been turned on. The AC switch is off and the simplified
equivalent circuit of the input is shown in Figure 31
IIN
VIN
Ri Li
Rc
Vi
Ci Vc
Figure 31. Simplified Equivalent Circuit During Adapter Insertion
The voltage on the charger input side VIN is given by:
VIN(t) + IIN(t)
ƪ ƫ RC
)
VCi(t)
+
Vie
Ri
2Li
t
Ri
* RC
wLi
sin
wt
)
cos
wt
(7)
in which,
Rt = Ri + RC w =
1
LiCi
-
æ
ç
Rt
ö2
÷
è 2Li ø
Ri t
IIN (t) =
Vi
wLi
e 2Li
sin wt
(8)
Rt t
VCi (t) = Vi - Vie 2Li
æ
ç
Rt
ö
s in wt + coswt ÷
è 2wLi
ø
(9)
The damping condition is:
Ǹ Ri ) Rc u 2
Li
Ci
(10)
24
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