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34704 Datasheet(PDF) 41 Page - Freescale Semiconductor, Inc

Part # 34704
Description  Multiple Channel DC-DC Power Management IC
PDF  54 Pages
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Manufacturer  FREESCALE [Freescale Semiconductor, Inc]
Direct Link  http://www.freescale.com
Logo FREESCALE - Freescale Semiconductor, Inc

34704 Datasheet(HTML) 41 Page - Freescale Semiconductor, Inc

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Analog Integrated Circuit Device Data
Freescale Semiconductor
41
34704
FUNCTIONAL DEVICE OPERATION
COMPONENT CALCULATION
1. First calculate the dt_I (inductor current rising time)
given by:
dtI
IomaxT
ΔIostep
----------------------
=
[s]
Where the parameter
ΔIo_step is the maximum current
step during the current rising time and is define as:
ΔIostep
Dmax
Fsw
--------------
⎝⎠
⎛⎞ Vinmin Vo
–
L
-------------------------------
⎝⎠
⎛⎞
=
[A]
2. Then the output capacitor can be chosen as follow:
COUT
IomaxdtI
ΔVo
max
----------------------
≤
[A]
•Where
ΔVO
max is the maximum allowed transient
overshoot expressed as a percentage of the output
voltage, typically from 3 to 5% of Vo.
3. Finally find the maximum allowed ESR to allow the
desired transient response:
ESRmax
ΔVo
r Fsw
() L
()
Vo 1 Dmin
–
()
--------------------------------------
=
[
Ω]
NOTE: Do not use the parameters
ΔVO
r and ΔVOmax
indistinctly, the first one indicates the output voltage ripple,
while the second one is the maximum output voltage
overshoot (transient response).
• R1 and RB: These two resistors help to set the output
voltage to the desire value using a Vref=0.6 V, select R1
between 10 k and 100 K and then calculate RB as follows:
RB
R1
Vo
Vref
------------
1
–
----------------------
=
[
Ω]
• Compensation network. (C1,C2,C3, R2, R3): For
compensating a buck converter, 3 important frequencies
referring to the plant are:
1. Output LC filter cutoff frequency (FLC):
FLC
1
LCOUT
2
π
--------------------------
=
[Hz]
2. Cutoff frequency due to capacitor ESR:
FESR
1
2
π C
OUT
()ESR
----------------------------------------
=
[Hz]
3. Crossover frequency (or bandwidth):
FBW
FSW
10
-----------
=
[Hz]
The Type 3 external compensation network will be in
charge of canceling some of these poles and zeros to
achieve stability in the system. The following poles and
zeroes frequencies are provided by the type 3 compensation.



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