参数资料
型号: ADP1821ARQZ-R7
厂商: Analog Devices Inc
文件页数: 15/24页
文件大小: 0K
描述: IC REG CTRLR BUCK PWM VM 16-QSOP
标准包装: 1
PWM 型: 电压模式
输出数: 1
频率 - 最大: 720kHz
占空比: 90%
电源电压: 3.7 V ~ 5.5 V
降压:
升压:
回扫:
反相:
倍增器:
除法器:
Cuk:
隔离:
工作温度: -40°C ~ 85°C
封装/外壳: 16-SSOP(0.154",3.90mm 宽)
包装: 标准包装
产品目录页面: 791 (CN2011-ZH PDF)
其它名称: ADP1821ARQZ-R7DKR
ADP1821
For initial practical designs, a good choice for the crossover
LC FILTER BODE PLOT
= SW
frequency is 1/10 of the switching frequency; first calculate
f
f CO (19)
10
This gives sufficient frequency range to design a compensation
GAIN
0dB
f LC
–40dB/dec
f ESR
f CO
f SW
FREQUENCY
that attenuates switching artifacts, yet also gives sufficient
control loop bandwidth to provide good transient response.
The output LC filter is a resonant network that inflicts two poles
upon the response at a Frequency f LC , so next calculate
–20dB/dec
A FILTER
f LC =
1
2 π LC
(20)
The LC corner frequency is about two orders of magnitude
below the switching frequency, and therefore about one order of
magnitude below crossover. To achieve sufficient phase margin
at crossover to guarantee stability, the design must compensate
for the two poles at the LC corner frequency with two zeros to
boost the system phase prior to crossover. The two zeros require
an additional pole or two above the crossover frequency to
guarantee adequate gain margin and attenuation of switching
noise at high frequencies.
PHASE
–90°
Φ FILTER
Depending on component selection, one zero might already be
generated by the ESR of the output capacitor. Calculate this zero
corner frequency, f ESR , as
–180°
Figure 16. LC Filter Bode Plot
Note that if the converter is being synchronized, the ramp
f ESR =
1
2 π R ESR C OUT
(21)
voltage, V RAMP , is lower than 1.25 V by the percentage of
frequency increase over the nominal setting of the FREQ pin
V RAMP = 1 . 25 V ? ? FREQ
?
?
This zero is often near or below crossover and is useful in
bringing back some of the phase lost at the LC corner.
? f
? f SYNC
?
?
(25)
Figure 16 shows a typical bode plot of the LC filter by itself.
The gain of the LC filter at crossover can be linearly
The rest of the system gain is needed to reach 0 dB at crossover.
The total gain of the system therefore, is given by
approximated from Figure 16 as
A FILTER = A LC + A ESR
A T = A MOD + A FILTER + A COMP
where:
(26)
A FILTER = ? 40 dB × log ? ? ESR
? ? 20 dB × log ? CO
? f
?
? ESR
?
?
? f
? f LC
? ? f
?
?
?
(22)
A MOD is the gain of the PWM modulator.
A FILTER is the gain of the LC filter including the effects of the
ESR zero.
A MOD = 20 log ? ?
? V IN ?
?
If f ESR ≈ f CO , then add another 3 dB to account for the local
difference between the exact solution and the preceding linear
approximation.
To compensate the control loop, the gain of the system must be
brought back up so that it is 0 dB at the desired crossover
frequency. Some gain is provided by the PWM modulation
itself, and it is given by
? (23)
? V RAMP ?
For systems using the internal oscillator, this becomes
A COMP is the gain of the compensated error amplifier.
Additionally, the phase of the system must be brought back up
to guarantee stability. Note from the bode plot of the filter that
the LC contributes ?180° of phase shift. Additionally, because
the error amplifier is an integrator at low frequency, it contrib-
utes an initial ?90°. Therefore, before adding compensation or
accounting for the ESR zero, the system is already down ?270°.
To avoid loop inversion at crossover, or ?180° phase shift, a
good initial practical design is to require a phase margin of 60°,
which gives an overall phase loss of ?120° from the initial low
frequency dc phase. The goal of the compensation is to boost
the phase back up from ?270° to ?120° at crossover.
A MOD = 20 log ?
? 1 . 25 V ?
?
? V IN ?
? ?
(24)
Rev. C | Page 15 of 24
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