
TPS5102
DUAL, HIGH-EFFICIENCY CONTROLLER FOR NOTEBOOK PC POWER
SLVS239 - SEPTEMBER 1999
17
POST OFFICE BOX 655303
DALLAS, TEXAS 75265
APPLICATION INFORMATION
current protection
The current limit in TPS5102 on each channel is set using an internal current source and an external resistor
(R18 or R19). The sensed high side MOSFET drain-to-source voltage drop is compared to the set point, if the
voltage drop exceeds the limit, the internal oscillator is activated, and it continuously reset the current limit until
the over-current condition is removed. The equation below should be used for calculating the external resistor
value for current protection setpoint:
Rcl
Rds(on)
(Itrip
0.000015
Iind(p-p) 2)
In skip mode,
Rcl
Rds(on)
(Itrip
0.000005
Iind(p-p) 2)
Where Rcl is the external current limit resistor (R10 or R11); Rds(on) is the high side MOSFET (Q1 or Q3)
on-time resistance. Itrip is the required current limit; Iind(p-p) is the peak-to-peak output inductor current.
Example for voltage mode: Rds(on) = 10 m
, Itrip = 5 A, Iind = 2 A, so Rcl = 4 k
.
loop-gain compensation
Voltage mode control is used in this controller for the output voltage regulation. To achieve fast, stabilized
control, two parts are discussed in this section: the power stage small signal modeling and the compensation
circuit design.
For the buck converter, the small signal modeling circuit is shown below:
+
-
a
c
ia
ic
p
D
1
Vap
D
d
∧
Ic d
∧
+
VI
RL
L
ZL
C
R
RC
ZRC
VO
From this equivalent circuit, several control transfer functions can be derived: input-to-output, output
impedance, and control-to-output. Typically the control-to-output transfer function is used for the feedback
control design.
Assuming Rc and RL are much smaller than R, the simplified small signal control-to-output transfer function is:
Vod
Vo
∧
d
(1
sCRc)
1
s C
Rc
R
L
L
R
s
2
LC
Where C is the output capacitance; Rc is the equivalent serial resistance (ESR) in the output capacitor; L is the
output inductor; RL is the equivalent serial resistance (DCR) in the output inductor; R is the load resistance.
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