參數(shù)資料
型號: L6714TR
廠商: 意法半導體
英文描述: 4 phase controller with embedded drivers for Intel VR10, VR11 and AMD 6Bit CPUs
中文描述: 4英特爾VR10,VR11和AMD的6位嵌入式CPU的司機相控制器
文件頁數(shù): 58/70頁
文件大小: 572K
代理商: L6714TR
System control loop compensation
L6714
58/70
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 R
O
;
Z
F
(s) is the compensation network impedance;
Z
L
(s) is the parallel of the N inductor impedance;
A(s) is the error amplifier gain;
is the PWM transfer function where
V
OSC
is the oscillator ramp
PWM
5
V
OSC
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
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 (LC filter
resonance
ω
LC
) and the zero (
ω
ESR
) 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 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
ω
F
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
Rg
---------------------
R
FB
=
4
--
------------------
=
GLOOPs
( )
4
5
--
---------------------
( )
---------------
-------------------------------------------
+
RO
-------
+
1
s
ESR
+
(
)
+
s2
CO
L
N
----
s
RO
---------------------
CO
ESR
CO
-------
+
+
1
+
+
-------------------------------------------------------------------------------------------------------------------------------------------------------------
=
VID
FB
COMP
VSEN
FBR
FBG
64k
64k
64k
R
F
C
F
R
FB
DROOP
PWM
L / N
ESR
C
O
R
O
d V
OUT
V
OUT
V
OUT
Z
F
(s)
Z
FB
(s)
REMOTE BUFFER
I
D
dB
ω
Z
F
(s)
G
LOOP
(s)
K
ω
LC
=
ω
F
ω
ESR
ω
T
R
F
[dB]
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