Two Port Networks (1)
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Transcript of Two Port Networks (1)
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TWO PORT NETWORKSTWO PORT NETWORKS
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Impedance Parameters [Z]Impedance Parameters [Z]
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General equivalent circuitGeneral equivalent circuit
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Admittance parameters [Y]Admittance parameters [Y]
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Equivalent CircuitEquivalent Circuit
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Problem2Problem2
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HYBRID PARAMETRSHYBRID PARAMETRS
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ExerciseExercise
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Transmission or ABCD ParametersTransmission or ABCD Parameters
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TWO-PORT NETWORK
Relationships between parameters
If a two-port network can be presented by different set of parameters, then there exists relationships between parameters.
e.g. relationships between z and y parameters:
2
1
2221
1211
2
1
I
I
zz
zz
V
V
2
1
1
2221
1211
2
1
V
V
zz
zz
I
I
We know that
2
1
2221
1211
2
1
V
V
yy
yy
I
I
Therefore
1
2221
1211
2221
1211
zz
zz
yy
yy
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TWO-PORT NETWORK
Relationships between parameters
1
2221
1211
zz
zz
z
1121
1222
zz
zz
where 21122211z zzzz
Therefore, z
2211
zy
z
1212
zy
z
2121
zy
z
1122
zy
The conversion formulae can be obtained from the conversion table
e.g. on page 869 of Alexander/Sadiku
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TWO-PORT NETWORK
Relationships between parameters
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TWO-PORT NETWORK
Interconnection of networks
Complex large network can be modeled with interconnected two-port networks
• Simplify the analysis /synthesis
• Simplify the design
Parameters of interconnected two-port networks can be obtained easily: depending on the type of parameters and type of connections:
• Series: z parameters
• Parallel: y parameters
• Cascade: transmission parameters
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TWO-PORT NETWORK
Interconnection of networks
Series: z parameters
[z] = [za] + [zb]
I1a
I1b
I2a
I2b
+V1b
+V1a
+V2a
+V2b
+
V1
+
V2
za
zb
z+V2
+V1
I1 I2
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TWO-PORT NETWORK
Interconnection of networks
Parallel: y parameters
[y] = [ya] + [yb]
y+V2
+V1
I1 I2
I1a I2a
+V1b
+V1a
+V2a
+V2b
+V1
+V2
ya
yb
I1 I2
I1b I2b
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TWO-PORT NETWORK
Interconnection of networks
Cascade: t parameters
[t] = [ta][tb]
t+V2
+V1
I1 -I2
I1a -I2a
+V1b
+V1a
+V2b
+V1
+V2
ta tb
I1 I1b -I2b
+V2a
-I2
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Thank YouThank You