ADP3810/ADP3811
Step 14. Calculate value of RC2 to realize GLOSS:
Assuming that CC2 is a short, RC2 forms a resistor divider with
R3, reducing the loop gain. To calculate RC2, simply set the resis-
tor ratio to give an attenuation of 25.5 dB, which is a loss of 1/20.
RC2
=
R3
20 −1
=
1kΩ
To provide some margin in the circuit for gain fluctuations in
the various stages, the final value of RC2 was adjusted down to
300 Ω.
Step 15. Calculate the value of CC2:
To maintain high dc gain, a capacitor, CC2, is connected in se-
ries with RC2. The zero provided by this RC network should be
close to fCI to provide a phase boost at crossover:
f Z2 ≈1.9 kHz
CC2
=
2π
×
f
1
Z2
×
RC2
=
2π
1
×1.9 kHz
×
300
Ω
≈
200
nF
The pole frequency due to CC2 and R3 can now be calculated
as:
f
P2
=
2π
×
1
CC2
×
R3
=
40
Hz
Step 16. Check the current loop phase margin:
ΦM
= 180 − arc
tan
f
f
CI
P2
+
arc
tan
f
f
CI
Z2
−
arc
tan
f CI
f PM
+arc
tan
f CI
f ZM
+
arc
tan
f CI
f P1
+
arc
tan
f
f
CI
Z3
ΦM ≈ 115°
The above formula subtracts the phase of each pole and adds
the phase of each zero. The poles and zeros come in pairs, fP2/fZ2
calculated in Step 15 from CC2/RC2; fPM/fZM calculated in Step 10
due to the output filter cap; and fP1/fZ3 due to CC1/RC1. fP1 is
the same pole that was calculated in Step 9, and fZ3 needs to be
recalculated with the addition of the internal 200 Ω resistor as
follows:
( ) f
Z
3
=
2π
×
CC1
1
× RC1
+
R6
= 78 Hz
The final phase margin of 115° is more than adequate for a
stable current loop. In reality, higher order parasitic poles reduce
the phase margin to significantly less than 115° for a 1.9 kHz
crossover. The same was not the case for the voltage loop be-
cause the cross over frequency of 100 Hz was well below the
parasitic poles.
A PSpice analysis of the resulting loop gain and phase for the
values calculated is shown in Figure 33.
180
PHASE MARGIN = 105
100
0
100
50
0
–50
0.01 0.1
0dB CROSSOVER
1
10
100
1k
FREQUENCY – Hz
10k 100k
Figure 33. Current Loop Gain/Phase Plots
OUTLINE DIMENSIONS
Dimensions shown in inches and (mm).
8-Lead Small Outline IC
(SO-8)
0.1968 (5.00)
0.1890 (4.80)
8
0.1574 (4.00)
0.1497 (3.80) 1
5
0.2440 (6.20)
4 0.2284 (5.80)
PIN 1
0.0098 (0.25)
0.0040 (0.10)
0.0688 (1.75)
0.0532 (1.35)
0.0196 (0.50)
0.0099 (0.25) x 45°
SEATING
PLANE
0.0500 0.0192 (0.49)
(1.27) 0.0138 (0.35)
BSC
0.0098 (0.25)
0.0075 (0.19)
8°
0° 0.0500 (1.27)
0.0160 (0.41)
–16–
REV. 0