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AN1723 Datasheet(PDF) 14 Page - STMicroelectronics

Part # AN1723
Description  Designing with the L5973AD high efficiency DC-DC converter
PDF  24 Pages
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Manufacturer  STMICROELECTRONICS [STMicroelectronics]
Direct Link  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

AN1723 Datasheet(HTML) 14 Page - STMicroelectronics

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Closing the loop
AN1723
14/24
Doc ID 9553 Rev 4
Equation 17
where K is equal to 0.152. Therefore the PWM gain is also equal to:
Equation 18
This means that even if the input voltage changes, the error amplifier does not change its
value to keep the loop in regulation, therefore ensuring better line regulation and line
transient response. In summary, the open loop gain can be written as:
Equation 19
Example 1:
Considering RC = 2.7 kΩ, CC = 22 nF and CP = 220 pF, the poles and zeroes of A0 are:
●
FP1 = 9 Hz
●
FP2 = 256 kHz
●
FZ1 = 2.68 kHz
If L = 22 µH, COUT = 100 µF and ESR = 80 mΩ, the poles and zeroes of ALC becomes:
●
FPLC = 3.39 kHz
●
F0 = 19.89 kHz
Finally R1 = 5.6 kΩ and R2 = 3.3 kΩ.
The gain and phase bode diagrams are plotted respectively in Figure 14 and Figure 15.
Figure 14.
Module plot
V
OSCMAX
V
OSCMIN
KV
CC
⋅
()
=
–
G
PWM
s
()
1
K
----
const
==
Gs
()
G
PWM
s
R
2
R
1
R
2
+
----------------------
A
0
⋅⋅
s
()
A
LC
s
()
⋅
()
=
AM11322v1



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