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Lecturer: Pn. Wan Nur Suryani Firuz Bt Wan Ariffin (012-4820815)
TWO-PORT NETWORK TKT 419/3 Sem 1 Sidang Akademik 2010/2011 Lecturer: Pn. Wan Nur Suryani Firuz Bt Wan Ariffin ( )
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Relationships among two-port parameters
TWO-PORT NETWORK Terminal equations Two-port parameters Relationships among two-port parameters Analysis of terminated two-port circuit Interconnected two-port circuits
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s-domain two-port basic building block
TERMINAL EQUATIONS s-domain two-port basic building block
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Terminal equations relationships
1st Relationship:
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2nd Relationship:
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3rd Relationship:
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4th Relationship:
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5th Relationship:
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6th Relationship:
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Relationships between parameters
TWO PORT NETWORK: Terminal equations Two-port parameters Relationships between parameters Analysis of terminated two-port circuit Interconnected two-port circuits
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IMPEDANCE PARAMETERS z parameters
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ADMITTANCE PARAMETERS y parameters
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a parameters
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a and b parameters are called transmission parameters
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HYBRID PARAMETERS h parameters
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INVERSE HYBRID PARAMETERS g parameters
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Find z parameter for the below circuit:
Example 1 Find z parameter for the below circuit:
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When port 2 open-circuit, I2=0 so,
Solutions: When port 2 open-circuit, I2=0 so,
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When I2=0, thus V2
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Now, when I1=0,so
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When port 1 open-circuit, I1=0, so:
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TWO-PORT NETWORK Terminal equations Two-port parameters Relationships between parameters Analysis of terminated two-port circuit Interconnected two-port circuits
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RELATIONSHIPS BETWEEN PARAMETERS
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Compare these two above equations:
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Find z parameters as functions of a parameters
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Therefore,
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RECIPROCAL TWO-PORT CIRCUITS
If a two-port circuit is reciprocal, the following relationships exist among port parameters:
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Symmetric of a reciprocal two-port circuits
Following relationships exist among port parameters:
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Example of symmetric two-port circuits
Symmetric tee
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Symmetric pi
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Symmetric bridge tee
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Symmetric lattice
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TWO-PORT NETWORK Terminal equations Two-port parameters Relationships between parameters Analysis of terminated two-port circuit Interconnected two-port circuits
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ANALYSIS OF TERMINATED TWO-PORT CIRCUITS
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6 characteristics of terminated two-port circuit
Input impedance (Zin=V1/I1) or admittance (Yin=I1/V1) Output current, I2 Thevenin voltage and impedance (ZTh, VTh) with respect to port 2 Current gain I2/I1 Voltage gain V2/V1 Voltage gain V2/Vg
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6 characteristics in term of z parameters
4 parameter equations that describe the circuit:
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1st characteristic (input impedance)
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2nd characteristic (output current, I2)
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3rd characteristic (Thevenin voltage @ impedance)
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Impedance Thevenin
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4th characteristic (current gain)
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5th characteristic (voltage gain V2/V1)
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6th characteristic (voltage gain V2/Vg)
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TWO-PORT NETWORK Terminal equations Two-port parameters Relationships between parameters Analysis of terminated two-port circuit Interconnected two-port circuits
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INTERCONNECTED TWO-PORT CIRCUITS
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Cascade connection
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Two-port parameters
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Interconnection (V’2=V’1 and I’2= -I’1)
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Relationship V’1 and I’1 with V2 and I2 in second circuit :
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Reference book Electric Circuits, James W. Nilsson and Susan A. Riedel, Prentice Hall
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