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ADP3088 查看數據表(PDF) - Analog Devices

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ADP3088
ADI
Analog Devices ADI
ADP3088 Datasheet PDF : 11 Pages
1 2 3 4 5 6 7 8 9 10
ADP3088
PRELIMINARY TECHNICAL DATA
equal, this is generally better accomplished with a better
quality or proportionally larger output capacitor instead,
since a larger inductor degrades the large-signal transient
performance capability.
A conservative nominal design target value for the inductor
of a typical application circuit is that which creates a peak-
to-peak ripple current, IL, for the nominal input voltage
that is approximately a third of the nominal 500mA rating
of the ADP3088. The reason for not suggesting to base the
ripple current on the maximum load current is for concern
of overload protection. Scaling of the ripple currents with
lower load currents would yield higher inductor values that
might give satisfactory operation, but in order for overload
operation up to the current limit level of the ADP3088 to
be satisfactory, it would be necessary to choose an inductor
rated up to that higher current, which would likely yield an
unsatisfactory inductor size and cost. In any case, having
chosen a target level for IL, the recommended inductor
value is given by:
L = (1D) × (VO + VF )
fSW × ∆IL
(4)
where D is the duty ratio - the suffix indicating continuous
inductor current - and is given by:
D = VO + VF
VIN + VF VSW
(5)
and VSW and VF are assessed at full load, and fSW is the fixed
switching frequency of the ADP3088. The formula sug-
gests the calculation of L using a nominal input voltage, and
for applications requiring a large ranges of VIN the limita-
tions of transient response at VIN(MIN) versus the higher
ripple at VIN(MAX) may warrant deeper consideration of how
to optimize the design. In applications where load tran-
sients are not severe, this conservative design for L is rec-
ommended. A more aggressive minimization of L is
outlined below, but a few restrictions are noted.
As inductance becomes smaller the ripple current becomes
larger. If the ripple becomes particularly large or, as an
additional factor, if the load is particularly dynamic, then
there is an increasing possibility that the peak inductor cur-
rent will undesirably reach the current limit shutdown
threshold, ICL. This should be avoided by restricting the
minimum inductor value to keep the ripple current moder-
ated. An alternate way to prevent excessive dynamic over-
shoot of inductor current during a load transient is to
reduce the DC gain of the error amplifier by adding resis-
tive feedback; this idea is discussed below.
Another important restriction of the minimum inductor
value may apply. The design should ensure against possible
subharmonic oscillation that can occur in all fixed-fre-
quency current-controlled switching power supplies when
switching at high duty ratios. The subharmonic oscillation
phenomenon will not be explained here - there are plenty
of papers written on the subject - except to say that it is
characterized by alternating high and low duty ratios - i.e.,
every other cycle - that produces additional ripple on the
output. To prevent subharmonic oscillation the following
restriction for the minimum inductor value is recom-
mended:
L
>
2µH
V
×
(VO
+
VF
)
×
VO + VF
VIN(MIN) 0.35
(6)
The value used for VIN(MIN) should be only the minimum
input voltage for which normal high performance operation
must be assured. Note the value returned for L may be
negative in which case the restriction does not apply. If the
preceding formula yields a lower inductor value than the
conservative recommendation given previously, as is likely
for most applications, then it is time to consider further
limitations to see how low the value can be minimized.
For a given inductor selection, the earlier formula is rear-
ranged for convenience and skewed to the worst case input
voltage to determine the maximum inductor ripple current,
IL:
I L(MAX )
=
VIN (MAX )
VIN (MAX )
VO
+ VF
VSW
VSW
V
×O
+ VF
fSW × L
(7)
Performance degradation of the inductor - consisting of
some loss of inductance or excessive power loss - may be
encountered at higher ripple currents, so the ripple current
figure, together with knowledge of the expected DC cur-
rent should be checked against specifications of the induc-
tor.
If the ESR of the output capacitor is substantial - as it is
likely to be if a MLC capacitor is not used - then the ripple
voltage on the output, dominated by the ESR, may be
substantial and of concern for regulation specifications.
The resistive component of the output voltage ripple is
simply the ripple current times the ESR, and if it is more
than a few millivolts it will dominate the output capacitance
in contributing to output ripple voltage.
The boundary condition of the inductor reaching the bor-
derline current, IO(BL) can be determined by the formula:
IO(BL )
= VO + VF
2fSW L
× VIN
VIN
VO
+ VF
VSW
VSW
(8)
Below this output current level, the inductor current will be
discontinuous and the duty ratio will be modulated to lower
values, by factors substantially more than thus the losses
that cause only a small amount of modulation in continuous
inductor current operation. PSM is initiated automatically
by a proprietary technique comprising a duty ratio amplifier
with an internal time constant. As load current drops well
into the low current region and the duty ratio passes below
the threshold of DPSM for a sufficient time, PSM is acti-
vated. The corresponding level of output current is given
by:
IO(PSM)
=
1
2
×
DPSM2
VIN + VF VSW
VO + VF
× VIN V0 VSW
fSW × L
(9)
It can be seen in the formula that this current threshold is
inversely proportional to inductance, so although it is usu-
ally not a relevant concern, it is noted that an aggressively
–6–
REV. PrK

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