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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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