L292
Neglecting the VCEsat of the bridge transistors and the VBE of the diodes:
Gmo = 1 2 Vs
RM VR
where : VS = supply voltage
(1)
VR = 8 V (reference voltage)
DC TRANSFER FUNCTION
In order to be sure that the current loop is stable the following condition is imposed :
1 + sRC = 1 + s LM
RM
(pole cancellation)
(2)
from which RC = LM
RM
(Note that in practice R must greater than 5.6 KΩ)
The transfer function is then,
IM (s) =
VI
R2 R4
R1 R3
Gmo
1 + s RF CF
Gmo Rs + s R4 C + s2 RF CF R4 C
(3)
In DC condition, this is reduced to
IM
VI
(o)
=
R2
R1
R4
R3
•
1
Rs
=
0.044
Rs
[ A]
V
(4)
OPEN-LOOP GAIN AND STABILITY CRITERION
For RC = LM / RM, the open loop gain is:
Aβ
=
1
sR subF C
•
Gmo
Rs
R4
RF
1 + s RF CF
=
Gmo Rs C
R4
s
1
(1 + s RF CF)
(5)
In order to achieve good stability, the phase margin must be greater than 45° when | Aβ | = 1.
That means that, at fF = 1
must be | Aβ | < 1 (see fig. 7), that is :
2 π RF CF
|
A
β
|
f
=
2
π
1
RF
CF
=
Gmo Rs
R4 C
RF CF
√2
<1
(6)
Figure 7. Open Loop Frequency Response
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