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ISL85402 データシートの表示(PDF) - Renesas Electronics

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ISL85402 Datasheet PDF : 22 Pages
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ISL85402
C3
=
R-----o---C----o----–----3----R----c---C----o-
3R1
R3 = -R--3--o--R--–--c--3-R---R-1---c-
Case B: ESR zero
---------1-----------
2RcCo
larger than (0.35 to 0.5)fs
(EQ. 27)
(EQ. 28)
C3
=
0----.-3----3----R----o---C----o---f--s----–-----0---.--4---6--
fs
R
1
R3 = -0---.-7----3----R----oR---C-1---o---f--s----–-----1--
(EQ. 29)
(EQ. 30)
2. Derive R2 and C1.
The loop gain Lv(S) at cross over frequency of fc has unity gain.
Therefore, C1 is determined by Equation 31.
C1
=
---R----1-----+-----R----3------C---3--
2
fc
Rt
R1
C
o
(EQ. 31)
The compensator zero CZ1 can boost the phase margin and
bandwidth. To put CZ1 at 2 times of cross cover frequency fc is a
good start point. It can be adjusted according to specific design.
R1 can be derived from Equation 32.
R2
=
---------1---------
4fcC1
(EQ. 32)
Example: Vin = 12V, Vo = 5V, Io = 2A, fs = 500kHz,
Co = 60µF/3m, L = 10µH, Rt = 0.20V/A, fc = 50kHz, R1=105k,
RBIAS = 20k.
Select the crossover frequency to be 35kHz. Since the output
capacitors are all ceramic, use Equation 29 and 30 to derive R3
to be 20k and C3 to be 470pF.
Then use Equation 31 and 32 to calculate C1 to be 180pF and
R2 to be 12.7k. Select 150pF for C1 and 15k for R2.
There is approximately 30pF parasitic capacitance between
COMP to FB pins that contributes to a high frequency pole.
Figure 31 shows the simulated bode plot of the loop. It is shown
that it has 26kHz loop bandwidth with 70° phase margin and -28
dB gain margin.
Note in applications where the PFM mode is desired especially
when type III compensation network is used, the value of the
capacitor between the COMP pin and the FB pin (not the
capacitor in series with the resistor between COMP and FB)
should be minimal to reduce the noise coupling for proper PFM
operation. No external capacitor between COMP and FB is
recommended at PFM applications.
80
60
40
20
0
-20
-40
-60
100
Loop Gain
1,000
10,000
100,000
Frequency
1,000,000
Phase Margin
180
160
140
120
100
80
60
40
20
0
100
1,000
10,000
100,000
Frequency
FIGURE 31. SIMULATED LOOP BODE PLOT
1,000,000
Boost Inductor
Besides the need to sustain the current ripple to be within a
certain range (30% to 50%), the boost inductor current at its
soft-start is a more important perspective to be considered in
selection of the boost inductor. Each time the boost starts up,
there is a fixed 500µs soft-start time when the duty cycle
increases linearly from tMIN(ON)*Fs to ~50%. Before and after
boost start-up, the boost output voltage will jump from
VIN_BOOST to voltage (VIN_BOOST + VOUT_BUCK). The design target
in boost soft-start is to ensure the boost input current is
sustained to minimum but capable to charge the boost output
voltage to have a voltage step equaling to VOUT_BUCK. A big
inductor will block the inductor current to increase and not high
enough to be able to charge the output capacitor to the final
steady state value (VIN_BOOST + VOUT_BUCK) within 500µs. A
6.8µH inductor is a good starting point for its selection in design.
The boost inductor current at start-up must be checked by
oscilloscope to ensure it is under acceptable range. It is
suggested to run the iSim model, which is available on the
internet to assist in designing the proper inductor value.
FN7640 Rev 1.00
April 25, 2013
Page 19 of 22

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