TWO PORT NETWORK
1. (Zparameters) Open circuit Impedance Parameters
Its use is premised on selecting the input port current, I_{1}, and the output port current, I_{2}, as independent electrical variables.
where the z_{ij} are called the zparameters of a twoport network. Here, input and output voltages are expressed in terms of input and output currents. The equations are given below.
V_{1} = Z_{11}I_{1} + Z_{12}I_{2}
V_{2} = Z_{21}I_{1} + Z_{22}I_{2}
where, Z_{11}, Z_{12}, Z_{21} and Z_{22} are called the Zparameters.
So the ZParameter can be found as follow:
The zparameters are also called opencircuit impedance parameters since they are obtained as a ratio of voltage and current and the parameters are obtained by opencircuiting port 2 (I_{2} = 0) or port 1 (I_{1} = 0).
2. (Yparameters) Short Circuit Admittance parameters
These parameters are obtained by expressing currents at two ports in terms of voltages at two ports.Thus, voltages V_{1} and V_{2} are independent variables, while I_{1} and I_{2} are dependent variables.
The equations are given below.
I_{1} = Y_{11}V_{1} + Y_{12}V_{2}
I_{2} = Y_{21}V_{1} + Y_{22}V_{2}
Where, Y_{11}, Y_{12}, Y_{21}, Y_{22} are called the Yparameters.
The yparameters are also called shortcircuit admittance parameters. They are obtained as a ratio of current and voltage and the parameters are found by shortcircuiting port 2 (V_{2} = 0) or port 1 (V_{1} = 0).
So the YParameter can be found as follow:
3. hparameters: Hybrid Parameters
Equations for voltage at input port and current at the output port are given below.
V_{1} = h_{11}I_{1} + h_{12}V_{2}
I_{2} = h_{21}I_{1} + h_{22}V_{2}
The hParameter can be found as follow:
The hparameters are also called hybrid parameters since they contain both opencircuit parameters (I_{1} = 0) and shortcircuit parameters (V_{2} = 0).
4. (gparameters) Inverse hybrid parameters
I_{1} = g_{11}V_{1} + g_{12}I_{2}
V_{2} = g_{21}V_{1} + g_{22}I_{2}
Here g_{12} and g_{21} are dimensionless coefficients, g_{22} is impedance and g_{11} is admittance.
5. (TParameters) or ABCD parameters Transmission Parameters
These are generally used in the analysis of power transmission in which the input port is referred as the sending end while the output port is referred as receiving end. These parameters can be obtained by expressing voltage and current at the output port.
ABCD parameters can be defined as following:
V_{1} = AV_{2} + B(–I_{2})
I_{1} = CV_{2} + D(–I_{2})
The transmission parameters express the primary (sending end) variables V_{1} and I_{1} in terms of the secondary (receiving end) variables V_{2} and ' I_{2} '. The negative of I_{2} is used to allow the current to enter the load at the receiving end.
6. Conversion of Zparameter in term of Yparameter
7. INTERCONNECTION OF TWOPORT NETWORKS
Twoport networks can be connected in series, parallel or cascade. the configuration listed below:
This can be concluded that if twoport networks with Zparameters [Z]_{1},[Z]_{2},[Z]_{3},[Z]_{n} , are connected in series, then the equivalent two portparameters are given as
[Z]_{eq} = [Z]_{1}+ [Z]_{2}+ [Z]_{3}+ [Z]_{n}
This can be concluded that if twoport networks with Yparameters [Y]_{1},[Y]_{2},[Y]_{3},[Y]_{n}, are connected in Parallel, then the equivalent two portparameters are given as
[Y]_{eq} = [Y]_{1}+ [Y]_{2}+ [Y]_{3}+ [Y]_{n}
When two 2port network are connected in cascaded configuration then the Tparameter of equivalent two port network will be the Product of Tparameter of individual network.
networks have transmission parameters [A]_{1},[A]_{2},[A]_{3},[A]_{n}, then the equivalent twoport parameter will have a transmission parameter given as
[A]_{eq} = [A]_{1}*[A]_{2}*[A]_{3}*[A]_{n}
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