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TPS40055 Datasheet

  • TPS40055

  • 寬輸入 (8V-40V) 最高頻率 1MHz 的同步降壓控制器，具有輸出驅(qū)動(dòng)...

  • 34頁

  • TI

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SLUS593B 鈭?DECEMBER 2003 鈭?REVISED APRIL 2004
TPS40054
TPS40055
TPS40057
APPLICATION INFORMATION
The maximum crossover frequency (0 dB loop gain) is calculated in equation (24).
f
C
+
f
SW
(Hertz)
4
(24)
Typically, f
C
is selected to be close to the midpoint between the L-C
O
double pole and the ESR zero. At this
frequency, the control to output gain has a 鈥? slope (鈭?0 dB/decade), while the Type III topology has a +1 slope
(20 dB/decade), resulting in an overall closed loop 鈥? slope (鈭?0 dB/decade). Figure 10 shows the modulator
gain, L-C filter, output capacitor ESR zero, and the resulting response to be compensated.
PWM MODULATOR RELATIONSHIPS
MODULATOR GAIN
vs
SWITCHING FREQUENCY
ESR Zero, + 1
AMOD = VIN / VS
Modulator Gain 鈭?dB
VS
VC
Resultant, 鈭?1
D = VC / VS
LC Filter, 鈭?2
100
Figure 10
fSW 鈭?Switching Frequency 鈭?Hz
1k
10 k
100 k
Figure 11
A Type III topology, shown in Figure 11, has two zero-pole pairs in addition to a pole at the origin. The gain and
phase boost of a Type III topology is shown in Figure 12. The two zeros are used to compensate the L-C
O
double
pole and provide phase boost. The double pole is used to compensate for the ESR zero and provide controlled
gain roll-off. In many cases the second pole can be eliminated and the amplifier鈥檚 gain roll-off used to roll-off
the overall gain at higher frequencies.
18
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