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| 型号： | L6716TR |
| 厂商： | STMICROELECTRONICS |
| 元件分类： | 稳压器 |
| 英文描述： | DUAL SWITCHING CONTROLLER, 225 kHz SWITCHING FREQ-MAX, QCC48 |
| 封装： | 7 X 7 MM, 1 MM HEIGHT, ROHS COMPLIANT, VFQFP-48 |
| 文件页数： | 43/57页 |
| 文件大小： | 829K |
| 代理商： | L6716TR |
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System control loop compensation
L6716
48/57
Doc ID 14521 Rev 3
is the PWM transfer function where
ΔV
OSC is the oscillator ramp amplitude and has a typical
value of 1.5 V.
Removing the dependence from the error amplifier gain, so assuming this gain high enough,
and with further simplifications, the control loop gain results:
The system control loop gain (see Figure 28) is designed in order to obtain a high DC gain
to minimize static error and to cross the 0 dB axes with a constant -20 dB/dec slope with the
desired crossover frequency
ω
T. Neglecting the effect of ZF(s), the transfer function has one
zero and two poles; both the poles are fixed once the output filter is designed (LC filter
resonance
ω
LC) and the zero (ωESR) is fixed by ESR and the Droop resistance.
Figure 29.
Equivalent control loop block diagram (left) and bode diagram (right)
To obtain the desired shape an RF-CF series network is considered for the ZF(s)
implementation. A zero at
ω
F = 1/RFCF is then introduced together with an integrator. This
integrator minimizes the static error while placing the zero
ω
F in correspondence with the L-
C resonance assures a simple -20 dB/dec shape of the gain.
In fact, considering the usual value for the output filter, the LC resonance results to be at
frequency lower than the above reported zero.
Compensation network can be simply designed placing
ω
F = ωLC and imposing the cross-
over frequency
ω
T as desired obtaining (always considering that ωT might be not higher than
1/10th of the switching frequency FSW):
Moreover, it is suggested to filter the high frequency ripple on the COMP pin adding also a
capacitor between COMP pin and FB pin (it does not change the system bandwidth):
PWM
3
5
---
V
IN
ΔV
OSC
-------------------
=
G
LOOP
s
()
3
5
----
V
IN
ΔV
OSC
----------------------
Z
F
s
()
R
FB
---------------
R
O
R
DROOP
+
R
O
R
L
N
-------
+
--------------------------------------------
1s C
O
R
DROOP
//R
O
ESR
+
()
+
s
2
C
O
L
N
-----
s
L
N R
O
-------------------
C
O
ESR
C
O
R
L
N
-------
++
1
+
+
--------------------------------------------------------------------------------------------------------------------------------------------
–
=
VREF
FB
COMP
VSEN
FBRTN
RF
CF
RFB
PWM
L / N
ESR
CO
RO
d VOUT
VOUT
ZF(s)
ZFB(s)
I DR
OOP
dB
ω
ZF(s)
GLOOP(s)
K
ω
LC = ωF
ω
ESR
ω
T
RF[dB]
CP
R
F
R
FB
ΔV
OSC
V
IN
----------------------------------
5
3
---
ω
T
L
NR
DROOP
ESR
+
()
--------------------------------------------------------
=
C
F
C
O
L
N
----
R
F
---------------------
=
C
P
1
2
π R
F
NF
SW
------------------------------------------------
=
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