
REV. 0
–14–
ADP3204
LOAD
V
IN
V
OUT
L
I
L
C
O
R
E
V
REF
V
H
Q1
Q2
V
SW
+
V
OUT
V
H
I
L
V
SW
t
t
t
Figure 2. Conventional Hysteretic Regulator and
Its Characteristic Waveforms
Since there is no voltage error amplifier in the hysteretic
regulator, its response to any change in the load current or the
input voltage is virtually instantaneous. Therefore, the hysteretic
regulator represents the fastest possible dc-to-dc converter. A
slight disadvantage of the conventional hysteretic regulator is
that its frequency varies with the input and output voltages. In a
typical mobile CPU converter application, the worst-case
frequency variation due to the input voltage variation is in the
order of 30%, which is usually acceptable. In the simplest
implementation of the hysteretic converter, shown in Figure 2,
the frequency also varies proportionally with the ESR, R
E
, of the
output capacitor. Since the initial value is often poorly con-
trolled, and the ESR of electrolytic capacitors also changes with
temperature and age, practical ESR variations can easily lead to
a frequency variation in the order of three to one. However, a
modification of the hysteretic topology eliminates the depen-
dence of the operating frequency on the ESR. In addition, the
modification allows the optimal implementation, ADOPT, of
Intel’s IMVP-II and IMVP-III load-line specifications. Figure 3
shows the modified hysteretic regulator.
V
IN
V
OUT
L
I
L
C
O
R
E
V
H
Q1
Q2
V
SW
+
R
C
R
CS
R
D
C
OC
V
REF
Figure 3. Modified Hysteretic Regulator with ADOPT
The implementation requires adding a resistive divider (R
C
and R
) between the reference voltage and the output, and
connecting the tap of the divider to the noninverting input
of the hysteretic comparator. A capacitor, C
OC
, is placed
across the upper member (R
C
) of the divider.
It is easily shown that the output impedance of the con-
verter can be no less than the ESR of the output capacitor.
A straightforward derivation demonstrates that the output
impedance of the converter in Figure 3 can be minimized to
equal the ESR, R
, when the following two equations are
valid (neglecting PCB trace resistance for now):
R
R
R
R
E
CS
D
C
= +
1
(1)
and
From (Equation 2), the series resistance is:
C
C R
R R
OC
E
D
=
2
(2)
R
R
R
R
CS
E
D
C
=
+
1
(3)
This is the ADOPT configuration and design procedure that
allows the maximum possible ESR to be used while meeting a
given load-line specification.
It can be seen from Equation 3 that unless R
is zero or R
is
infinite, R
CS
will always be smaller than R
E
. An advantage of
the circuit in Figure 3 is that if we select the ratio R
/R
well
above unity, the additional dissipation introduced by the series
resistance R
CS
will be negligible. Another interesting feature of
the circuit in Figure 3 is that the ac voltage across the two
inputs of the hysteretic comparator is now equal only to the ac
voltage across R
CS
. This is due to the presence of the capacitor
C
, which effectively couples the ac component of the output
voltage to the noninverting input voltage of the comparator.
Since the comparator sees only the ac voltage across R
CS
, in the
circuit in Figure 3 the dependence of the switching frequency
on the ESR of the output capacitor is completely eliminated.
Equation 4 presents the expression for the switching frequency.
f
R
LV
(V
V
)
V
CS
H
IN
OUT
IN
=
V
OUT
(4)
Multiphase Hysteretic Regulator with ADOPT
Multiphase converters have very important advantages, includ-
ing reduced rms current in the input filter capacitor (allowing
the use of a smaller and less expensive device), distributed heat
dissipation (reducing the hot spot temperature and increasing
reliability), higher total power capability, increased equivalent
frequency without increased switching losses (allowing the use
of smaller equivalent inductances, and thereby shortening the
load transient time), and reduced ripple current in the output
capacitor (reducing the output ripple voltage and allowing the
use of a smaller and less expensive output capacitor). Also, they
have some disadvantages, which should be considered when
choosing the number of phases. Those disadvantages include the
need for more switches and output inductors than in a single-phase
design (leading to higher cost than a single-phase solution, at
least below a certain power level), more complex control, and
the possibility of uneven current sharing among the phases.
The family of ADP320x controllers alleviates two of the above
disadvantages of multiphase converters. It presents a simple and
cost-effective control solution, and provides perfect current
sharing among the phases. Figure 4 shows a simplified block
diagram of a three-phase converter using the control principle
implemented with the ADP3204, the three-phase member of
the ADP320x family.
As Figure 4 shows, in the multiphase configuration, the ripple
current signal is multiplexed from all channels. During the on
time of any given channel, its current is compared to the upper
threshold of the hysteretic comparator. When the current
reaches the upper threshold, the control FET of that channel is