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参数资料
| 型号： | L6714TR |
| 厂商： | STMICROELECTRONICS |
| 元件分类： | 稳压器 |
| 英文描述： | SWITCHING CONTROLLER, 170 kHz SWITCHING FREQ-MAX, PQFP64 |
| 封装： | 10 X 10 MM, LEAD FREE, TQFP-64 |
| 文件页数： | 54/70页 |
| 文件大小： | 694K |
| 代理商： | L6714TR |
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System control loop compensation
L6714
58/70
Where:
●
RSENSE is the MOSFET RdsON or the Inductor DCR depending on the sensing element
selected;
●
is the equivalent output resistance determined by the droop
function;
●
ZP(s) is the impedance resulting by the parallel of the output capacitor (and its ESR)
and the applied load RO;
●
ZF(s) is the compensation network impedance;
●
ZL(s) is the parallel of the N inductor impedance;
●
A(s) is the error amplifier gain;
●
is the PWM transfer function where
VOSC is the oscillator ramp
amplitude and has a typical value of 4V.
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 23) is designed in order to obtain a high DC gain
to minimize static error and to cross the 0dB axes with a constant -20dB/dec slope with the
desired crossover frequency
ωT. 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
ωLC) and the zero (ωESR) is fixed by ESR and the Droop resistance.
Figure 23. 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
ωF = 1/RFCF is then introduced together with an integrator. This
integrator minimizes the static error while placing the zero
ωF in correspondence with the L-
C resonance assures a simple -20dB/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.
R
DROOP
R
SENSE
Rg
---------------------
R
FB
=
PWM
4
5
---
V
IN
V
OSC
-------------------
=
G
LOOP
s
()
4
5
---
V
IN
V
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
+
+
-------------------------------------------------------------------------------------------------------------------------------------------------------------
–
=
VID
FB
COMP
VSEN
FBR
FBG
64k
RF
CF
RFB
DROOP
PWM
L / N
ESR
CO
RO
d VOUT
VOUT
ZF(s)
ZFB(s)
REMOTE BUFFER
I DR
OOP
dB
ω
ZF(s)
GLOOP(s)
K
ω
LC = ωF
ω
ESR
ω
T
RF[dB]
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