Loads Applied to Thin Wire

ampalmer
ampalmer New Altair Community Member
edited October 2020 in Community Q&A

I am currently working on code to apply time-varying loads to antennas. My methods include first extracting an impedance matrix from FEKO. I am first trying to understand the way FEKO applies LTI loads to an unloaded impedance matrix. I have done so by comparing a loaded and unloaded impedance matrix, and found that the following equations are applied to the elements of the impedance matrix that represent the vertices of the segment being loaded,Z_ii and Z_jj:

 

Z_ii' = Z_ii - 2/3(load/2)

Z_jj' = Z_jj - 2/3(load/2)

Z_ij' = Z_ij - 1/3(load/2)

Z_ji' = Z_ji - 1/3(load/2)

 

Can anyone explain why instead of simply applying the load impedance to the vertices that it is divided in half, and distributed by thirds?

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