LTI Network analysis with the incidence matrix method

[-MFra-]

Hi ALL,

To whom of interest:

analysis of a linear time-invariant electric network, with the incidence matrix method. However, something is not correct for me, see last photo (there is the sum of an integer number and an inductive admittance, that is the dimensions of both terms aren't the same). Where is the mistake?.

[StuartBruff]

Sorry, I don't have access to Mathcad at the moment.  What's Rim1 - I can't see the definition in the pages you've shown?

Stuart

[-MFra-]

Hi,
Rim is simply the acronym for Reduced incidence matrix. I'm sorry, two pages were missing, but a little while ago I added them.

[StuartBruff]

OK, thanks.   The first question is are you sure that the branch admittance matrix is correct?  It looks dimensionally incorrect, at first glance.

Stuart

[-MFra-]

Hi,

surely, I was a bit hasty in defining the matrix, I needed it as a test. All the rest, however, is valid.  It is necessary to take into account the action of the transformer, ie it transforms the admittances of branches 1 and 2.

Regards

[LucMeekes]

Rim1 is defined at the top of page 5, using Aim1 defined on page 4.

Luc

[StuartBruff]

Thanks, Luc.  I looked at at the pdf before MFra had fully updated it.

[-MFra-]

I made the necessary corrections (see attached file).

Since, opening the file with the extension .xmcd, the jpeg, or other types of images, are moved downwards in the file, I attach a pdf file to compare both files so as correct the above "defect" of Mathcad.