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A two-port network is an electrical network with two different ports for input and output. A port is a pair of terminals through which electrical current can enter and exit. As an example of a one-port circuit are the passive elements of a network: resistors, inductors and capacitors. A one-port network is represented by diagram of Figure On the other hand, a four-terminal circuit, such as those made up of operational amplifiers, transistors or transformers, is considered a two-port network, which can be represented by the following diagram in Figure The characterization of a two-port network is made by relating the quantities present at its terminals: V 1 , V 2 , I 1 , I 2.
The complex network model as a two port network has certain restrictions:. The equations that relate the quantities V 1 , V 2 , I 1 , I 2 present at the input and output ports of a two-port network are called parameters. To derive the impedance parameters, we supply the two-port network with a voltage source which can be the Thevenin voltage supplied by the circuit connected at the input port or by a current source which can be the Norton provided by the circuit connected at the input port as shown in Figure 4 a and b :.
From either of these two configurations, we can express the relationships between voltages and currents as:. The Z terms are called impedance parameters. To evaluate these parameters, we run the following tests. In summary:. According to the table of equations 2 , we can evaluate Z 11 and Z 12 by connecting a voltage source V 1 or a current source I 1 to port 1 with port 2 in open circuit, as in Figure Figure 5.
Then, from the circuit of Figure 5, by means of circuit analysis, we determine the value of I 1 und V 2 , and then obtain the parameters Z 11 und Z 21 using equations 3 :. Similarly, parameters Z 12 und Z 22 are obtained by the following experiment, as in Figure Parameters Z 12 und Z 22 using equations 4 :. Figure 7. To determine Z 11 und Z 21 , a voltage source V 1 is applied to the input port and the output port is left open, as in Figure 8a.
To determine Z 12 and Z 22 , a voltage source V 2 is applied to the input port and the output port is left open, as in Figure 8 b.
We determine the Z parameters in Figure 7 using:. Therefore, the matrix of the impedance parameters is:. Recibir nuevas entradas por email. Saltar al contenido 23 marzo, carakenio The complex network model as a two port network has certain restrictions: There can be no energy stored within the circuit.
There can be no independent sources within the circuit; Dependent sources, however, are allowed. The current entering the port input or output must be equal to the current leaving the port input or output. Impedance parameters. Determine the Z parameters in Figure 7: Figure 7 To determine Z 11 und Z 21 , a voltage source V 1 is applied to the input port and the output port is left open, as in Figure 8a. Comparte esto: Twitter Facebook.
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