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When two-ports are connected in a series-series configuration as shown in figure 10, the best choice of two-port parameter is the z-parameters. The z-parameters of the combined network are found by matrix addition of the two individual z-parameter matrices. [23] [24] [] = [] + []
In general the elements of the Z-parameter matrix are complex numbers and functions of frequency. For a one-port network, the Z-matrix reduces to a single element, being the ordinary impedance measured between the two terminals. The Z-parameters are also known as the open circuit parameters because they are measured or calculated by applying ...
z-parameters, or Impedance parameters, are one set from the family of parameters that define a two-port network, with input and output values defined by I 1, I 2, V 1 and V 2, [12]: 254 [25]: 29 as shown in the figure. Two-port Network. Equations defining network behaviour in terms of z-parameters are
Equivalent circuit for an arbitrary two-port admittance matrix. The circuit uses Norton sources with voltage-controlled current sources. Y-equivalent circuit for a reciprocal two-port network. The Y-parameter matrix for the two-port network is probably the most common. In this case the relationship between the port voltages, port currents and ...
For instance the [z] parameter model leads to dependent voltage generators as shown in this diagram; [z] parameter equivalent circuit showing dependent voltage generators. There will always be dependent generators in a two-port parameter equivalent circuit. This applies to the [h] parameters as well as to the [z] and any other kind.
If a new pair of impedance and admittance is added in front of the network, its input impedance remains unchanged since the network is infinite. Thus, it can be reduced to a finite network with one series impedance Z {\displaystyle \ Z\ } and two parallel impedances 1 / Y {\displaystyle \ 1/Y\ } and Z IT . {\displaystyle \ Z_{\text{IT}}~.}
Start with a two-port network, N, with a plane of symmetry between the two ports. Next cut N through its plane of symmetry to form two new identical two-ports, 1 / 2 N. Connect two identical voltage generators to the two ports of N. It is clear from the symmetry that no current is going to flow through any branch passing through the ...
If a current, , injected into port A produces a voltage, , at port B and injected into port B produces at port A, then the network is said to be reciprocal. Equivalently, reciprocity can be defined by the dual situation; applying voltage, , at port A producing current at port B and at port B producing current at port A. [1] In general, passive networks are reciprocal.