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- Two-port linear network general representation AV + BI = 0. It seems that it might exist a two-port linear network having a representation of 3 linear homogeneous independent equations

Hi,

as follow-up to this thread I've a question about general representation of a two-port network.

Basically it is ad hoc built four-terminal linear network (using controlled sources + nullator-norator pair): for it I found a general representation ##AV + BI = 0## as in the picture above.

If I did the job correctly, Gauss elimination of internal variables (voltages & currents of internal elements) results in 3 linear homogeneous independent equations in port variables V1,I1,V2,I2.

Now, on various circuit theory sources, I found that any two-port linear network (with

Thus, from this example, it seems that it might exist a two-port representation having 3 linear homogeneous independent equations !

What do you think about ? Thanks.

as follow-up to this thread I've a question about general representation of a two-port network.

Basically it is ad hoc built four-terminal linear network (using controlled sources + nullator-norator pair): for it I found a general representation ##AV + BI = 0## as in the picture above.

If I did the job correctly, Gauss elimination of internal variables (voltages & currents of internal elements) results in 3 linear homogeneous independent equations in port variables V1,I1,V2,I2.

Now, on various circuit theory sources, I found that any two-port linear network (with

*no*internal independent sources) can*always*be represented in the general form ##AV + BI = 0## where ##A## e ##B## are two 2x2 matrices (the two equations, actually, could be dependent each other).Thus, from this example, it seems that it might exist a two-port representation having 3 linear homogeneous independent equations !

What do you think about ? Thanks.

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