MC33364
The MOC8102 has a typical current transfer ratio (CTR)
of 100% with 25% tolerance. When the TL431 is full--on,
5 mA will be drawn from the transistor within the
MOC8102. The transistor should be in saturated state at that
time, so its collector resistor must be
Rcollector
=
Vref − Vsat
ILED
=
5.0 V − 0.3
5.0 mA
V
=
940
Ω
Since a resistor of 5.0 k is internally connected from the
reference voltage to the feedback pin of the MC33364, the
external resistor can have a higher value
Rext
=
R3
=
(Rint)(Rcollector)
(Rint) − (Rcollector)
=
(5.0 k)(940)
5.0 k − 940
= 1157 Ω ≈ 1200 Ω
This completes the design of the voltage feedback circuit.
In no load condition there is only a current flowing
through the optoisolator diode and the voltage sense divider
on the secondary side.
The load at that condition is given by:
Rnoload
=
Vout
(ILED + Idiv)
=
(5.0
6.0
mA +
V
0.25
mA)
=
1143
Ω
The output filter pole at no load is:
fph
=
(
2π
1
Rnoload
Cout
)
=
1
(2π)(1143)(300
mF)
=
0.46
Hz
In heavy load condition the ILED and Idiv is negligible. The
heavy load resistance is given by:
Rheavy
=
Vout
Iout
=
6.0
2.0
V
A
=
3.0
Ω
The output filter pole at heavy load of this output is
fph
=
(2π
1
RheavyCout)
=
1
(2π)(3)(300
mF)
=
177
Hz
The gain exhibited by the open loop power supply at the
high input voltage will be:
2
Vin max − Vout
A=
Ns
=
382
(382
V − 6.0 V2(7)
V)(1.2 V)(139)
(Vin max)(Verror)(Np)
= 15.53 = 23.82 dB
The maximum recommended bandwidth is
approximately:
fc
=
fs
min
5
=
70
kHz
5
=
14
kHz
The gain needed by the error amplifier to achieve this
bandwidth is calculated at the rated load because that yields
the bandwidth condition, which is:
Gc = 20 log
fc
fph
− A = 20 log
14 kHz
177
− 23.82 dB
= 14.14 dB
The gain in absolute terms is:
Ac = 10(Gc∕20) = 10(14.14∕20) = 5.1
Now the compensation circuit elements can be calculated.
The output resistance of the voltage sense divider is given by
the parallel combination of resistors in the divider:
Rin = Rupper || Rlower = 10 k || 14 k = 5833 Ω
R9 = (Ac) (Rin) = 29.75 k ≈ 30 k
C8 =
1
= 382 pF ≈ 390 pF
2π (Ac) (Rin) (fc)
The compensation zero must be placed at or below the
light load filter pole:
C7 =
1
= 11.63 mF ≈ 10 mF
2π (R9) (fpn)
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