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ISL6540A Datasheet, PDF (18/22 Pages) Intersil Corporation – Single-Phase Buck PWM Controller with Integrated High Speed MOSFET Driver and Pre-Biased Load Capability
ISL6540A
C2
COMP
R2
C1
-
FB
E/A +
VREF
R3
C3
R1
VMON
RFB
-
VSEN-
CSEN ROS
+
VSEN+
PWM
CIRCUIT
OSCILLATOR
VOSC
HALF-BRIDGE
DRIVE
VOUT
VIN
UGATE
PHASE
LGATE
L
DCR
C
ESR
ISL6540A EXTERNAL CIRCUIT
FIGURE 9. VOLTAGE-MODE BUCK CONVERTER
COMPENSATION DESIGN
Figure 9 highlights the voltage-mode control loop for a
synchronous-rectified buck converter, when using an internal
differential remote sense amplifier. The output voltage
(VOUT) is regulated to the reference voltage, VREF, level.
The error amplifier output (COMP pin voltage) is compared
with the oscillator (OSC) triangle wave to provide a
pulse-width modulated wave with an amplitude of VIN at the
PHASE node. The PWM wave is smoothed by the output
filter (L and C). The output filter capacitor bank’s equivalent
series resistance is represented by the series resistor ESR.
The modulator transfer function is the small-signal transfer
function of VOUT/VCOMP. This function is dominated by a
DC gain, given by DMAXVIN/VOSC, and shaped by the
output filter, with a double pole break frequency at FLC and a
zero at FCE. For the purpose of this analysis C and ESR
represent the total output capacitance and its equivalent
series resistance.
FLC
=
-------------1--------------
2π ⋅ L ⋅ C
FCE
=
----------------1-----------------
2π ⋅ C ⋅ ESR
(EQ. 10)
The compensation network consists of the error amplifier
(internal to the ISL6540A) and the external R1 thru R3, C1 thru
C3 components. The goal of the compensation network is to
provide a closed loop transfer function with high 0dB crossing
frequency (F0; typically 0.1 to 0.3 of FSW) and adequate
phase margin (better than 45°). Phase margin is the
difference between the closed loop phase at F0dB and 180°.
The equations that follow relate the compensation network’s
poles, zeros and gain to the components (R1, R2, R3, C1, C2,
and C3) in Figures 7 and 9. Use the following guidelines for
locating the poles and zeros of the compensation network:
1. Select a value for R1 (1kΩ to 10kΩ, typically). Calculate
value for R2 for desired converter bandwidth (F0). If
setting the output voltage to be equal to the reference set
voltage as shown in Figure 7, the design procedure can
be followed as presented. However, when setting the
output voltage via a resistor divider placed at the input of
the differential amplifier (as shown in Figure 9), in order
to compensate for the attenuation introduced by the
resistor divider, the below obtained R2 value needs be
multiplied by a factor of (ROS+RFB)/ROS. The remainder
of the calculations remain unchanged, as long as the
compensated R2 value is used.
R2
=
----V----O----S----C-----⋅---R-----1----⋅---F----0-----
dMAX ⋅ VIN ⋅ FLC
(EQ. 11)
A small capacitor, CSEN in Figure 9, can be added to filter
out noise, typically CSEN is chosen so the corresponding
time constant does not reduce the overall phase margin
of the design, typically this is 2x to 10x switching
frequency of the regulator. As the ISL6540A supports
100% duty cycle, dMAX equals 1. The ISL6540A also
uses feedforward compensation, as such VOSC is equal
to 0.16 multiplied by the voltage at the VFF pin. When
tieing VFF to VIN, the Equation 12 simplifies to:
R2
=
0----.--1---6-----⋅---R----1-----⋅---F----0-
FLC
(EQ. 12)
2. Calculate C1 such that FZ1 is placed at a fraction of the FLC,
at 0.1 to 0.75 of FLC (to adjust, change the 0.5 factor to
desired number). The higher the quality factor of the output
filter and/or the higher the ratio FCE/FLC, the lower the FZ1
frequency (to maximize phase boost at FLC).
C1
=
-----------------------1-----------------------
2π ⋅ R2 ⋅ 0.5 ⋅ FLC
(EQ. 13)
3. Calculate C2 such that FP1 is placed at FCE.
C2 = -2---π-----⋅---R-----2----⋅---C-C----1-1---⋅---F----C----E-----–-----1-
(EQ. 14)
4. Calculate R3 such that FZ2 is placed at FLC. Calculate C3
such that FP2 is placed below FSW (typically, 0.5 to 1.0
times FSW). FSW represents the regulator’s switching
frequency. Change the numerical factor to reflect desired
placement of this pole. Placement of FP2 lower in frequency
helps reduce the gain of the compensation network at high
frequency, in turn reducing the HF ripple component at the
COMP pin and minimizing resultant duty cycle jitter.
18
FN6288.5
October 7, 2008