- Two Port Network Definition: A two port network is an electrical network model with input and output terminals used to describe complex electrical network behaviors.
- Impedance Parameters (Z): Z parameters analyze the relationship between voltages and currents in two port networks, helping to understand how input currents affect output voltages.
- Admittance Parameters (Y): Y parameters provide insights into how voltages affect currents, crucial for analyzing two port network parameters.
- Hybrid Parameters (h): h parameters combine features of both impedance and admittance, offering a detailed view on voltage and current interrelationships in the network.
- Transmission Parameters (ABCD): ABCD parameters are essential for expressing input characteristics in terms of the output, pivotal in advanced network analysis.
What is Two Port Network?
The figure below shows a two port network.
A single phase transformer is an ideal example of two port network.
When an electrical signal is applied across the input ports, there would be an electrical signal across output ports.
The relation between input and output signals of the network can be determined by transferring various network parameters, such as, impedance, admittance, voltage ratio and current ratio. Let us refer to the figure below,
Here in the network,
The transfer voltage ratio function is,
The transfer current ratio function is,
The transfer impedance function is,
The transfer admittance function is,
Two Port Network Parameters
There are various parameters needed to analyze a two port network. For examples, Z parameters, Y parameters, h parameters, g parameters, ABCD parameters etc.
Exploring Network Parameters: We’ll examine each network parameter to better understand their specific applications and uses in electrical engineering.
Z Parameters
Z Parameters: Known as impedance parameters, Z parameters represent voltages as functions of currents in two port network analysis.
The Z parameters are,
The voltages are represented as
Y Parameters
Y parameter is dual of Z parameter.
In the two part network represented by admittance, the current and voltage related by the following equations,
h Parameter
h parameters also known as hybrid parameters.
Hybrid Parameters (h): h parameters, or hybrid parameters, blend features of impedance and admittance to analyze the voltage and current relationships in two port networks.
Hence,
ABCD Parameter
Transmission Parameters (ABCD): Also known as ABCD parameters, these express the input’s voltage and current in terms of the output, crucial for transmission analysis in two port networks.
Here,
In matrix form it can be written as,
