Application informations
The transfer function on the LC filter is given by:
Equation 13
1 + ------------s-------------
GLC(s)
=
-----------------------------2----π----⋅---f--z---E---S----R--------------------
1
+
-------------s---------------
2π ⋅ Q ⋅ fLC
+
⎛
⎝
2----π-----s⋅---f--L---C--⎠⎞
2
where:
Equation 14
fLC
=
-----------------------------------1------------------------------------ ,
2π ⋅
L ⋅ COUT ⋅
1 + --E----S----R----
ROUT
fzESR
=
---------------------1----------------------
2π ⋅ ESR ⋅ COUT
L5983
Equation 15
Q
=
-----R----O----U----T----⋅---L-----⋅---C-----O----U----T----⋅---(--R-----O----U----T----+-----E----S-----R-----)
L + COUT ⋅ ROUT ⋅ E SR
,
ROUT
=
V-----O----U---T--
IOUT
As seen in Chapter 4.3 two different kind of network can compensate the loop. In the two
following paragraph the guidelines to select the Type II and Type III compensation network
are illustrated.
Figure 9. Error amplifier, PWM modulator and LC output filter
VCC
VREF
FB
VS
E/A
COMP
PWM
GPW0
OUT
L
ESR
GLC
COUT
5.4.1
Type III compensation network
The methodology to stabilize the loop consists of placing two zeros to compensate the effect
of the LC double pole, so increasing phase margin; then to place one pole in the origin to
minimize the dc error on regulated output voltage; finally to place other poles far away the
zero dB frequency.
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