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RT9218B Просмотр технического описания (PDF) - Richtek Technology

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RT9218B Datasheet PDF : 17 Pages
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RT9218B
The AC impedance of output capacitor at operating
frequency is quite smaller than the load impedance, so
the ripple current (ΔIL) of the inductor current flows mainly
through output capacitor. The output ripple voltage is
described as :
ΔVOUT = ΔVOR + ΔVOC
(2)
ΔVOUT
=
ΔIL
× rc
+
1
CO
t2
t1
ic
dt
(3)
ΔVOUT
=
ΔIL
× ΔIL
× rc
+
1
8
VOUT
COL
(1D)T 2
S
(4)
where ΔVOR is caused by ESR and ΔVOC by capacitance.
For electrolytic capacitor application, typically 90 to 95%
of the output voltage ripple is contributed by the ESR of
output capacitor. So Equation (4) could be simplified as :
ΔVOUT = ΔIL x rc
(5)
Users could connect capacitors in parallel to get calculated
ESR.
Input Capacitor
The selection of input capacitor is mainly based on its
maximum ripple current capability. The buck converter
draws pulsewise current from the input capacitor during
the on time of S1 as shown in Figure 1. The RMS value of
ripple current flowing through the input capacitor is
described as :
Irms = IOUT D(1D) (A)
(6)
The input capacitor must be cable of handling this ripple
current. Sometime, for higher efficiency the low ESR
capacitor is necessarily.
PWM Loop Stability
RT9218B is a voltage mode buck converter using the high
gain error amplifier with transconductance (OTA,
Operational Transconductance Amplifier).
The transconductance :
GM = dIOUT
dVm
The mid-frequency gain :
dVOUT = dIOUT ZOUT = GMdVINZOUT
G = dVOUT
dVIN
= GMZOUT
ZOUT is the shut impedance at the output node to ground
(see Figure 3 and Figure 4),
GM
VOUT
C1
C2
R1
Figure 3. A Type 2 error-amplifier with shut network to
ground
EA+ +
EA- - GM
+
RO
VOUT
Figure 4. Equivalent circuit
Pole and Zero :
FP
=
2π
1
× R1C2
;
FZ
=
2π
1
× R1C1
We can see the open loop gain and the Figure 3 whole
loop gain in Figure 5.
Open Loop, Unloaded Gain
A
Closed Loop, Unloaded Gain
FZ
FP
Gain = GMR1
B
100 1000 10k 100k
Frequency (Hz)
Figure 5. Gain with the Figure 2 circuit
RT9218B internal compensation loop :
GM = 0.2ms, R1 = 75kΩ, C1 = 2.5nF, C2 = 10pF
www.richtek.com
10
DS9218B-09 March 2007

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