why the admittance matrix or y bus matrix of a large network
is called sparse matrix?

Answer Posted / iamdon

In case of large network there are 1000(e.g) busbars,one
busbar is connnected to adjacent busbars whose numbers are
very less(e.g 6-10) as compared to the total no buses in
network.So when the Y matrix is formed, most of the
elements of Y becomes 0.Zero values of Y are for such
elements between two buses which are not physically
connected.

The term sparse indicate the same fact that,very few
elements of Y matrix are nonzero.Thats why Y matrix is
called sparse matrix.

Author:arbelectbit@yahoo.com

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