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NCV887740D1R2G Datasheet(PDF) 14 Page - ON Semiconductor

Part # NCV887740D1R2G
Description  Automotive Grade Start-Stop Non-Synchronous Boost Controller
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Manufacturer  ONSEMI [ON Semiconductor]
Direct Link  http://www.onsemi.com
Logo ONSEMI - ON Semiconductor

NCV887740D1R2G Datasheet(HTML) 14 Page - ON Semiconductor

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Table 2. OTA COMPENSATION TRANSFER FUNCTION AND COMPENSATION VALUES
Desired OTA Gain at Cross−over
Frequency fc (G)
10
desired_G
fc_gain_db
20
Desired Phase Boost at Cross−
over Frequency fc (boost)
q
margin * arg Hctrl_output
(fc)
180
°
p *
90
°
p
180
°
Select OTA Compensation Zero to
Coincide with Modulator Pole at
fp1 (fz)
w
p1e
2
p
Resulting OTA High Frequency
Pole Placement (fp)
fzfc ) fc 2 tan(boost)
fc * fz tan(boost)
Compensation Resistor (R2)
fpG
fp * fz
V
OUT
1.2 gm
1
)
fc
fp
2
1
)
fz
fp
Compensation Capacitor (C1)
1
2
pf
2R2
Compensation Capacitor (C2)
1
2
pfp
1.2 gm
V
OUT
OTA DC Gain (G0_OTA)
V
ref
V
OUT
gmR0
Low Frequency Zero (
wz1e)
1
2
R
2 ) Resd
R
2ResdC2
1
*
1
* 4
R
2ResdC2
R
2 ) Resd
2
C
1
High Frequency Zero (
wz2e)
1
2
R
2 ) Resd
R
2ResdC2
1
)
1
* 4
R
2ResdC2
R
2 ) Resd
2
C
1
Low Frequency Pole (
wp1e)
1
2
R
0 ) R2 ) Resd
R
2 R0 ) Resd C2
1
*
1
* 4
R
2 R0 ) Resd C2
R
0 ) R2 ) Resd
2
C
1
High Frequency Pole (
wp2e)
1
2
R
0 ) R2 ) Resd
R
2 R0 ) Resd C2
1
)
1
* 4
R
2 R0 ) Resd C2
R
0 ) R2 ) Resd
2
C
1
OTA Transfer Function (GOTA(f))
−G
0_OTA
1
) j
2
pf
w
z1e
1
) j 2pf
w
p1e
1
) j
2
pf
w
z2e
1
) j 2pf
w
p2e
The open−loop−response in closed−loop form to verify the gain/phase margins may be obtained from the following
expressions.
T(f)
+ G
OTA(f)Hctrl_output(f)


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