参数资料
型号: ISL6315IRZ
厂商: Intersil
文件页数: 14/20页
文件大小: 0K
描述: IC REG CTRLR BUCK PWM VM 24-QFN
标准包装: 75
PWM 型: 电压模式
输出数: 1
频率 - 最大: 255kHz
占空比: 67%
电源电压: 4.75 V ~ 5.25 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: 24-VFQFN 裸露焊盘
包装: 管件
ISL6315
and E represents the total output capacitance and its
equivalent series resistance.
frequency response of the modulator (G MOD ), feedback
compensation (G FB ) and closed-loop response (G CL ):
F LC = ---------------------------
F CE = ------------------------
G MOD ( f ) = ------------------------------ ? ----------------------------------------------------------------------------------------
V OSC
1 + s ( f ) ? ( E + D ) ? C + s ( f ) ? L ? C
1
2 π ? L ? C
1
2 π ? C ? E
(EQ. 8)
d MAX ? V IN 1 + s ( f ) ? E ? C
2
G FB ( f ) = ------------------------------------------------------ ?
? -----------------------------------------------------------------------------------------------------------------------------
( 1 + s ( f ) ? R3 ? C3 ) ? ? 1 + s ( f ) ? R2 ? ? ---------------------- ? ?
The compensation network consists of the error amplifier
(internal to the ISL6315) and the external R1-R3, C1-C3
components. The goal of the compensation network is to
provide a closed loop transfer function with high 0dB crossing
frequency (F 0 ; typically 0.1 to 0.3 of F SW ) and adequate phase
1 + s ( f ) ? R2 ? C1
s ( f ) ? R1 ? ( C1 + C2 )
1 + s ( f ) ? ( R1 + R3 ) ? C3
C1 ? C2
? ? C1 + C2 ? ?
(EQ. 13)
margin (better than 45°). Phase margin is the difference
between the closed loop phase at F 0dB and 180°. The
equations that follow relate the compensation network’s poles,
G CL ( f ) = G MOD ( f ) ? G FB ( f )
where , s ( f ) = 2 π ? f ? j
zeros and gain to the components (R1, R2, R3, C1, C2, and
COMPENSATION BREAK FREQUENCY EQUATIONS
F Z1 = --------------------------------
F P1 = -----------------------------------------------
2 π ? R2 ? ----------------------
F Z2 = ---------------------------------------------------
F P2 = --------------------------------
C3) in Figure 8. Use the following guidelines for locating the
poles and zeros of the compensation network:
1. Select a value for R1 (1k Ω to 5k Ω , typically). Calculate
value for R2 for desired converter bandwidth (F 0 ).
1
2 π ? R2 ? C1
1
2 π ? ( R1 + R3 ) ? C3
1
C1 ? C2
C1 + C2
1
2 π ? R3 ? C3
(EQ. 14)
V OSC ? R1 ? F 0
d MAX ? V IN ? F LC
R2 = ---------------------------------------------
(EQ. 9)
Figure 9 shows an asymptotic plot of the DC/DC converter’s
gain vs. frequency. The actual Modulator Gain has a high gain
2. Calculate C1 such that F Z1 is placed at a fraction of the F LC ,
at 0.1 to 0.75 of F LC (to adjust, change the 0.5 factor to
desired number). The higher the quality factor of the output
filter and/or the higher the ratio F CE /F LC , the lower the F Z1
frequency (to maximize phase boost).
peak dependent on the quality factor (Q) of the output filter,
which is not shown. Using the above guidelines should yield a
compensation gain similar to the curve plotted. The open loop
error amplifier gain bounds the compensation gain. Check the
compensation gain at F P2 against the capabilities of the error
amplifier. The closed loop gain, G CL , is constructed on the
C1 = ------------------------------------------------
1
2 π ? R2 ? 0.5 ? F LC
3. Calculate C2 such that F P1 is placed at F CE .
(EQ. 10)
log-log graph of Figure 9 by adding the modulator gain, G MOD
(in dB), to the feedback compensation gain, G FB (in dB). This
is equivalent to multiplying the modulator transfer function and
the compensation transfer function and then plotting the
resulting gain.
C2 = ---------------------------------------------------------
C1
2 π ? R2 ? C1 ? F CE – 1
(EQ. 11)
F Z1 F Z2
F P1
F P2
MODULATOR GAIN
COMPENSATION GAIN
R3 = ----------------------
F SW
C3 = -------------------------------------------------
20 log ? ? ? ?
d MAX ? V
--------
IN
FREQUENCY
F CE
F LC
F 0
4. Calculate R3 such that F Z2 is placed at F LC . Calculate C3
such that F P2 is placed below F SW (typically, 0.5 to 1.0
times F SW ). F SW represents the per-channel switching
frequency. Change the numerical factor to reflect desired
placement of this pole. Placement of F P2 lower in
frequency helps reduce the gain of the compensation
network at high frequency, in turn reducing the HF ripple
component at the COMP pin and minimizing resultant
duty cycle jitter.
R1
------------ – 1
F LC (EQ. 12)
1
2 π ? R3 ? 0.7 ? F SW
It is recommended a mathematical model is used to plot the
loop response. Check the loop gain against the error
amplifier ’s open-loop gain. Verify phase margin results and
adjust as necessary. The following equations describe the
14
CLOSED LOOP GAIN
OPEN LOOP E/A GAIN
R2
R1
20 log ---------------------------------
0 V OSC
G FB
G CL
G MOD
LOG
FIGURE 9. ASYMPTOTIC BODE PLOT OF CONVERTER GAIN
A stable control loop has a gain crossing with close to a
-20dB/decade slope and a phase margin greater than 45°.
Include worst case component variations when determining
phase margin. The mathematical model presented makes a
FN9222.1
July 18, 2007
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