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ST1S14 データシート(PDF) 17 Page - STMicroelectronics

部品番号 ST1S14
部品情報  Power good open collector output
PDF  46 Pages
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メーカー  STMICROELECTRONICS [STMicroelectronics]
ホームページ  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

ST1S14 データシート(HTML) 17 Page - STMicroelectronics

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DocID17977 Rev 2
17/46
ST1S14
Closing the loop
6.1
GCO(s) control to output transfer function
The accurate control to output transfer function for a buck peak current mode converter can
be written as:
Equation 2
where R0 represents the load resistance, Ri the equivalent sensing resistor of the current
sense circuitry,
ωp the single pole introduced by the LC filter, and ωz the zero given by the
ESR of the output capacitor.
FH(s) accounts for the sampling effect performed by the PWM comparator on the output of
the error amplifier that introduces a double pole at one half of the switching frequency.
Equation 3
Equation 4
where:
Equation 5
Sn represents the ON time slope of the sensed inductor current, and Se the ON time slope
of the external ramp (VPP peak to peak amplitude) that implements the slope compensation
to avoid sub-harmonic oscillations at duty cycle over 50 %.
The sampling effect contribution FH(s) is:
Equation 6
where:
G
CO s
()
R
0
R
i
-------
1
1
R
0
T
SW
⋅
L
--------------------------
m
C
1D
–
() 0.5
–
⋅
[]
⋅
+
-------------------------------------------------------------------------------------------------
1
s
ω
z
-----
+
⎝⎠
⎛⎞
1
s
ω
p
-----
+
⎝⎠
⎛⎞
---------------------
F
H s
()
⋅⋅
⋅
=
ω
Z
1
ESR
C
OUT
⋅
----------------------------------
=
ω
n
1
R
LOAD
C
OUT
⋅
----------------------------------------
m
C
1D
–
() 0.5
–
⋅
LC
OUT
f
SW
⋅⋅
------------------------------------------------
+
=
m
C
1
S
e
S
n
------
+
=
S
e
V
pp
f
SW
⋅
=
S
n
V
IN
V
OUT
–
L
------------------------------
R
i
⋅
=
⎝
⎜
⎜
⎜
⎜
⎜
⎜
⎛
F
H s
()
1
1
s
ω
n
Q
P
⋅
---------------------
s
2
ω
n
2
-----
++
-------------------------------------------
=



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