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L6725 датащи(PDF) 18 Page - STMicroelectronics

номер детали L6725
подробное описание детали  Low cost adjustable step-down controller
PDF  27 Pages
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производитель  STMICROELECTRONICS [STMicroelectronics]
домашняя страница  http://www.st.com
Logo STMICROELECTRONICS - STMicroelectronics

L6725 датащи(HTML) 18 Page - STMicroelectronics

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Application details
L6725
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6.4
Compensation network
The loop is based on a voltage mode control (Figure 11). The output voltage is regulated to the
internal/external reference voltage and scaled by the external resistor divider. The error
amplifier output VCOMP is then compared with the oscillator triangular waveform to provide a
pulse-width modulated (PWM) with an amplitude of VIN at the PHASE node. This waveform is
filtered by the output filter. The modulator transfer function is the small signal transfer function
of VOUT/VCOMP. This function has a double pole at frequency FLC depending on the L-COUT
resonance and a zero at FESR depending on the output capacitor’s ESR. The DC Gain of the
modulator is simply the input voltage VIN divided by the peak-to-peak oscillator voltage: VOSC.
The compensation network consists in the internal error amplifier, the impedance networks ZIN
(R3, R4 and C20) and ZFB (R5, C18 and C19). The compensation network has to provide a
closed loop transfer function with the highest 0dB crossing frequency to have fastest transient
response (but always lower than fSW/10) and the highest gain in DC conditions to minimize the
load regulation error. A stable control loop has a gain crossing the 0dB axis with -20dB/decade
slope and a phase margin greater than 45°. To locate poles and zeroes of the compensation
networks, the following suggestions may be used:
Modulator singularity frequencies:
Compensation network singularity frequencies:
Figure 11. Compensation Network
Cout
L
LC
=
1
ω
Cout
ESR
ESR
=
1
ω
(8)
(9)
⎟⎟⎠
⎜⎜⎝
+
=
19
18
19
18
5
1
1
C
C
C
C
R
P
ω
20
4
2
1
C
R
P
=
ω
(10)
(11)
19
5
1
1
C
R
Z
=
ω
()
4
3
20
2
1
R
R
C
Z
+
=
ω
(12)
(13)



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