A6902D
LC filter
7.2.3
GPWR_CM s
=
s
∙
LIND
+
RDC
+
RSENSE
RSENSE + 1
RLOAD
+
1
RES
+
1
s∙
1
COUT
The previous equation can be rewritten and simplified, assuming RES and RDC negligible compared to RLOAD:
GPWR_CM s
=
1+
1
+
2π
∙
s
FZ_ESR_CM
2π
∙
s
Q∙
FLC
+
s
2π ∙ FLC
2
∙ RSENSE
FZ_ESR_CM =
2πCOUT ∙
1
RLOAD + RES
≈
1
2πCOUT ∙
RLOAD
FP_LC =
2π LIND ∙ COUT ∙
1
RLOAD + RES
≈
2π
1
LIND ∙ COUT
RLOAD + RDC + RSENSE
Q≈
LIND ∙ COUT
LIND
RLOAD
+
COUT
∙
RSENSE
As a consequence, the frequency of the zero in current loop operation depends on the loading conditions,
whereas the current and voltage power loop transfer functions have the same denominator.
In terms of principle it is possible to compensate the current loop with ceramic capacitor at the output, placing
fZ_ESR_CM inside the system bandwidth to guarantee enough phase margin for a given loading range.
Negligible ESR means fZ_ESR_VM >> fP_LC and so the voltage loop results stable only in discontinuous conduction
mode / no load operation but unstable working in continuous conduction mode.
An application that fits this operation is when the voltage loop implements just an OVP protection for load
disconnection or end of charge detection in battery charging application.
PWM comparator
In voltage mode control loop the PWM comparator in Figure 2. Block diagram generates a PWM control signal for
the driving circuitry comparing the internal saw tooth waveform and the output of the error amplifier.
The transfer function of the PWM modulator, from the error amplifier output (COMP pin) to the switching net (OUT
pin) results in an almost constant gain, due to the voltage feed-forward which generates the saw tooth signal with
amplitude proportional to the input voltage:
(11)
GPWM s
=
VIN
∆ VOSC
=
VIN
K ∙ VIN
=
1
0.076
This means that even if the input voltage changes, the error amplifier does not change its value to keep the loop
in regulation, thus ensuring a better line regulation and faster line transient response.
In summary, the open loop gain can be expressed as:
(12)
GTOT s
=
GPWM s
GPWM s
∙ GPWR_VM s
∙ GPWR_CM s
∙ A0 s
∙ A0 s
For constant current or constant voltage operation, respectively.
DS5503 - Rev 6
page 15/33