SABIKA FATIMA EEE NETWORK THEORY B.TECH II YR I SEM

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Presentation transcript:

SABIKA FATIMA EEE NETWORK THEORY B.TECH II YR I SEM

On topic Two-Port Networks

Port A port of a network consists of two terminals — one for the entry of current and other for its exit. The currents in the two terminals of a port are equal. ‘Porte’ in French means ‘door’.

Two-Port Network The port variables are port currents I1 and I2 and the port voltages V1 and V2. Note the reference directions of currents and voltages.

Assume linear time-invariant elements. May contain dependent sources but not independent sources. We need two linear equations in port-variables to characterize such a two-port network. Two can be taken as the independent variables and the remaining two as the dependent variables. The choice is just a matter of convenience for a given applications.

Six Possibilities Open-circuit, impedance, or z-parameters. Short-circuit, admittance, or y-parameters. Hybrid, or h-parameters. Inverse hybrid, or g-parameters. Transmission, or ABCD-parameters. Inverse transmission, or abcd-parameters

OPEN-CIRCUIT, IMPEDANCE, OR z-PARAMTERS Impedance Matrix

1. Input driving point impedance, 2. Reverse transfer impedance,

3. Forward transfer impedance, 4. Output driving point impedance,

Equivalent Circuit Using z-parameters It is just a picturization of the defining equations.

Alternate way of drawing the equivalent circuit.

Conditions for Reciprocity A network is said to be reciprocal, if

Condition for Symmetry A two-port network is said to be symmetrical if its ports can be interchanged without changing the port voltages and currents.

SHORT-CIRCUIT, ADMITTANCE, OR y-PARAMTERS Admittance Matrix

1. Input driving point admittance, 2. Reverse transfer admittance ,

3. Forward transfer admittance 4. Output driving point admittance

Equivalent Circuit Using y-Parameters Picturizing the defining equations,

Alternatively,

Conditions for Reciprocity and Symmetry

Review Multi-Port Networks. Two-Port Network. Six Possibilities of Characterization. open-circuit, impedance, or z-paramters. Equivalent Circuit Using z-parameters . Conditions for Reciprocity and Symmetry. Short-circuit, admittance, or y-paramters. Equivalent Circuit Using y-Parameters.