APW7073
Application Information (Cont.)
MOSFET Selection (Cont.)
conduction loss and transition loss. For the upper
and lower MOSFET, the losses are approximately
given by the following:
PUPPER = IOUT (1+ TC)(RDS(ON))D + (0.5)( IOUT)(VIN)( tSW)FS
P = I (1+ TC)(R )(1-D)
LOWER OUT
DS(ON)
Where IOUT is the load current
TC is the temperature dependency of R
DS(ON)
F is the switching frequency
S
t is the switching interval
SW
D is the duty cycle
Note that both MOSFETs have conduction loss while
the upper MOSFET include an additional transition
loss. The switching internal, tSW, is a function of the
reverse transfer capacitance C . The (1+TC) term is
RSS
to factor in the temperature dependency of the R
DS(ON)
and can be extracted from the “R vs Temperature”
DS(ON)
curve of the power MOSFET.
PWM Compensation
The output LC filter of a step down converter introduces
a double pole, which contributes with -40dB/decade
gain slope and 180 degrees phase shift in the control
loop. A compensation network among COMP, FB and
VOUT should be added. The compensation network is
shown in Fig. 8. The output LC filter consists of the
output inductor and output capacitors. The transfer
function of the LC filter is given by:
GAIN LC
=
1 + s × ESR × C OUT
s 2 × L × C OUT + s × ESR × C OUT
+1
The poles and zero of this transfer functions are:
FLC = 2 × π ×
1
L × C OUT
FESR
=
1
2 × π × ESR
× C OUT
The FLC is the double poles of the LC filter, and FESR is
the zero introduced by the ESR of the output capacitor.
PHASE
L
OUTPUT
COUT
ESR
Figure 5. The Output LC Filter
FLC
-40dB/dec
FESR
-20dB/dec
Frequency(Hz)
Figure 6. The LC Filter GAIN and Frequency
The PWM modulator is shown in Figure 7. The input
is the output of the error amplifier and the output is the
PHASE node. The transfer function of the PWM
modulator is given by:
GAIN PWM
=
VIN
∆ V OSC
VIN
ΔVOSC
OSC
PWM
Comparator
Driver
Output of
Error Amplifier
PHASE
Driver
Figure 7. The PWM Modulator
The compensation network is shown in Figure 8. It
provides a close loop transfer function with the highest
zero crossover frequency and sufficient phase margin.
The transfer function of error amplifier is given by:
Copyright © ANPEC Electronics Corp.
16
Rev. A.1 - Apr., 2006
www.anpec.com.tw