Hardware Reference
In-Depth Information
R
3
I
1
CCII
R
3
I
2
CCII
V
1
x
CCII
V
2
z
y
x
x
y
+
z
+
+
z
y
x
y
z
+
C
1
R
m
C
2
R
2
R
m
R
1
CCII
CCII
x
x
+
+
z
z
y
y
Fig. 5.47 Simulated coupled circuit proposed by Abuelma
atti et al. [
110
]
'
5.3.10 Simulation of Higher Order Grounded/Floating
Immittances Using CCs
While a majority of works on CC-based impedance simulation have dealt with
inductors (first order impedance) or FDNR/FDNC elements (both second order
immittances), a number of authors have devised CC-based circuits for simulating
higher order immittances, in both grounded and floating forms, for instance, see
[
80
,
81
,
83
,
140
,
151
].
5.3.11 Simulation of Mutually-Coupled Circuits
There are numerous applications in Communication, Instrumentation and Control
which call for the use of mutually-coupled circuits. A mutually-coupled circuit
essentially has a primary self-inductance, a secondary self-inductance and mutual
inductance. Apart from the simulation of inductors, the simulation of mutually
coupled circuits using CCs has also received attention of researchers [
110
,
123
,
124
].
A circuit for mutually-coupled circuit using only CCII+ s was proposed by
Abuelma
atti et al. in [
110
] and is shown here in Fig.
5.47
.
An analysis of this circuit shows that the voltages V
1
and V
2
are given by:
'
V
1
¼
sC
1
R
1
R
3
I
1
þ
sC
1
R
3
R
m
I
2
ð
5
:
53
Þ
V
2
¼
sC
1
R
3
R
m
I
1
þ
sC
1
R
2
R
3
I
2
ð
5
:
54
Þ
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