參數(shù)資料
型號(hào)： L6711
廠商： 意法半導(dǎo)體
英文描述： 3 PHASE CONTROLLER WITH DYNAMIC VID AND SELECTABLE DACs
中文描述： 3相控制器，動(dòng)態(tài)VID和可選數(shù)模轉(zhuǎn)換器
文件頁(yè)數(shù)： 30/38頁(yè)
文件大小： 591K
代理商： L6711
L6711
30/38
Where:
■
R
SENSE
is the mosfet R
dsON
or the Inductor DCR depending on the sensing element selected;
■
is the equivalent output resistance determined by the droop function;
■
Z
P
(s) is the impedance resulting by the parallel of the output capacitor (and its ESR) and the applied
load Ro;
■
Z
F
(s) is the compensation network impedance;
■
Z
L
(s) is the parallel of the three inductor impedance;
■
A(s) is the error amplifier gain;
■
is the PWM transfer function where
V
OSC
is the oscillator ramp amplitude and has
a typical value of 3V
Removing the dependence from the Error Amplifier gain, so assuming this gain high enough, the control
loop gain results:
With further simplifications, it results:
Considering now that in the application of interest it can be assumed that Ro>>R
L
; ESR<<Ro and
R
DROO
P<<Ro, it results:
( )
R
FB
s
2
Co
The ACM control loop gain is designed to obtain a high DC gain to minimize static error and cross the 0dB
axes with a constant -20dB/dec slope with the desired crossover frequency
ω
T
. Neglecting the effect of
Z
F
(s), the transfer function has one zero and two poles.
Both the poles are fixed once the output filter is designed and the zero is fixed by ESR and the Droop re-
sistance.
To obtain the desired shape an R
F
-C
F
series network is considered for the Z
F
(s) implementation. A zero
at
ω
F
=1/R
F
C
F
is then introduced together with an integrator. This integrator minimizes the static error
while placing the zero in correspondence with the L-C resonance a simple -20dB/dec shape of the gain is
assured).
In fact, considering the usual value for the output filter, the LC resonance results to be at frequency lower
than the above reported zero.
G
LOOP
s
( )
PWM Z
s
-------------------------------------------------------------------------------+
( )
R
Z
s
A s
A s
( )
)
Z
P
s
( )
Z
L
s
( )
+
(
)
--------------
1
-----------
+
R
FB
+
–
=
R
DROOP
R
Rg
----------------------
R
FB
=
PWM
4
5
--
V
V
osc
---------------
=
G
LOOP
s
( )
4
5
--
V
V
OSC
------------------
Z
s
( )
( )
Z
P
s
Z
L
s
( )
+
------------------------------------
Rg
-------
Z
s
( )
R
FB
--------------
+
–
=
G
LOOP
s
( )
4
5
--
V
V
OSC
------------------
Z
s
( )
R
FB
--------------
Ro
--------+
R
R
L
3
Ro
------
+
1
s Co
R
//Ro
3 Ro
ESR
+
(
)
+
s
2
Co
L
3
--
s
---------------
Co ESR
Co
+
L
3
------
+
1
+
+
----------------------------------------------------------------------------------------------------------------------------------
–
=
G
LOOP
s
( )
4
5
--
V
V
OSC
------------------
s
--------------
1
s Co
R
ESR
+
(
)
+
L
3
--
s
3 Ro
---------------
Co ESR
Co
+
L
3
------
+
1
+
+
----------------------------------------------------------------------------------------------------------------------------------
–
=
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