ISL6251, ISL6251A
iˆin
iˆL L
vˆ o
vˆ in
+
ILdˆ 1:D Vindˆ
RT
Rc
Ro
VCA2
Co
Ti(S)
dˆ
K
11/Vin
0.25VCA2
+
-
Tv(S)
vˆcomp -Av(S)
FIGURE 14. SMALL SIGNAL MODEL OF SYNCHRONOUS BUCK
REGULATOR
Figure 15 shows the voltage loop compensator, and its transfer
function is expressed as follows:
Av
S
vˆ comp
vˆ FB
1 S
gm
cz
SC1
(EQ. 25)
where
cz
1
R1C1
Vo
VFB -
VREF + gm
VCOMP
R1
C1
FIGURE 15. VOLTAGE LOOP COMPENSATOR
Compensator design goal:
• High DC gain
•
Loop bandwidth fc:
1
5
1
20
fs
• Gain margin: >10dB
• Phase margin: 40°
The compensator design procedure is as follows:
1. Put compensator zero at:
cz
1 3 1
RoCo
(EQ. 26)
2. Put one compensator pole at zero frequency to achieve high
DC gain, and put another compensator pole at either ESR zero
frequency or half switching frequency, whichever is lower.
The loop gain Tv(S) at cross over frequency of fc has unity gain.
Therefore, the compensator resistance R1 is determined by
Equation 27:
R1 = 8--------f--Cg----mV----O-V----FC----B-O----R-----T-
(EQ. 27)
where gm is the trans-conductance of the voltage loop error
amplifier. Compensator capacitor C1 is then given by
Equation 28:
C1
1
R1 cz
(EQ. 28)
Example: Vin = 19V, Vo = 16.8V, Io = 2.6A, fs = 300kHz,
Co = 10F/10m, L = 10H, gm = 250s, RT = 0.8,
VFB = 2.1V, fc = 20kHz, then compensator resistance R1 = 10k.
Choose R1 = 10k. Put the compensator zero at 1.5kHz. The
compensator capacitor is C1 = 6.5nF. Therefore, choose voltage
loop compensator: R1 = 10k, C1 = 6.5nF.
PCB Layout Considerations
Power and Signal Layers Placement on the
PCB
As a general rule, power layers should be close together, either
on the top or bottom of the board, with signal layers on the
opposite side of the board. As an example, layer arrangement on
a 4-layer board is shown below:
1. Top Layer: signal lines, or half board for signal lines and the
other half board for power lines
2. Signal Ground
3. Power Layers: Power Ground
4. Bottom Layer: Power MOSFET, Inductors and other Power
traces
Separate the power voltage and current flowing path from the
control and logic level signal path. The controller IC will stay on
the signal layer, which is isolated by the signal ground to the
power signal traces.
Component Placement
The power MOSFET should be close to the IC so that the gate
drive signal, the LGATE, UGATE, PHASE, and BOOT, traces can be
short.
Place the components in such a way that the area under the IC
has less noise traces with high dv/dt and di/dt, such as gate
signals and phase node signals.
Signal Ground and Power Ground
Connection.
At minimum, a reasonably large area of copper, which will shield
other noise couplings through the IC, should be used as signal
ground beneath the IC. The best tie-point between the signal
ground and the power ground is at the negative side of the output
capacitor on each side, where there is little noise; a noisy trace
beneath the IC is not recommended.
FN9202 Rev 3.00
March 13, 2014
Page 17 of 20