Example of Y Parameters in Network Theory explained with following Timestamps:
0:00 - Example of Y Parameters - Network Theory
1:42 - Forward Transfer Admittance
3:51 - Input Admittance
5:55 - Output Admittance
7:31 - Reverse Transfer Admittance
8:51 - Y Parameter Matrix
Example of Y Parameters in Network Theory explained with following outlines:
0. Network Theory
1. Two Port Network
2. Y Parameters or Admittance Parameters
3. Example of Y Parameters
4. Input Admittance of Y Parameter
5. Forward Transfer Admittance of Y Parameter
6. Output Admittance of Y Parameter
7. Reverse Transfer Admittance of Y Parameter
8. Y Parameter Matrix
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Details of Y parameter in network theory:
In network theory, the Y parameter, also known as admittance parameter, is one of the four possible sets of two-port parameters that can be used to describe the behavior of a linear two-port network. The other three sets are the Z parameter, the h parameter, and the ABCD parameter.
The Y parameter represents the admittance of the network and is defined as the ratio of the phasor currents to the phasor voltages at the input and output ports of the network. It is usually represented as a matrix with dimensions of 2 x 2, and its elements are complex numbers. The Y parameter matrix is given by:
| I1 | | Y11 Y12 | | V1 |
| | = | | * | |
| I2 | | Y21 Y22 | | V2 |
where I1 and V1 are the input current and voltage, respectively, and I2 and V2 are the output current and voltage, respectively. The elements Y11, Y12, Y21, and Y22 represent the self-admittance and mutual admittance of the network.
The Y parameter matrix can be used to calculate the transfer function of the network, which is the ratio of the output voltage to the input voltage. It can also be used to calculate other important network parameters, such as the input impedance, output impedance, and scattering parameters.
The Y parameter is particularly useful in analyzing circuits with a large number of parallel branches, such as power distribution networks, where the input impedance of the network is dominated by the parallel combination of the individual admittances. In such cases, the Y parameter can be used to simplify the analysis and calculation of the overall network behavior.