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Electric Circuits and Networks, Ist Edition by Pearson
book

Electric Circuits and Networks, Ist Edition by Pearson

by K. S. Suresh Kumar
May 2024
Intermediate to advanced content levelIntermediate to advanced
840 pages
45h 20m
English
Pearson India
Content preview from Electric Circuits and Networks, Ist Edition by Pearson
If the Branch-j is oriented towards i
th
node, we get,
Thus, v
k
= a
ik
v
ni
+ a
jk
v
nj
gives the correct value for v
k
in terms of end node voltages
irrespective of the orientation of k
th
branch. The signs of entries in A matrix take care of the
polarity of the branch voltage. Extending this argument for all branches in the graph, we can
write the following matrix equation that expresses the KVL equations in the network.
v(t) A
T
v
n
(t) (17.3-3)
where v(t) is the b 1 column vector of instantaneous branch voltage variables, v
n
(t) is the
(n 1) 1 column vector of instantaneous node voltage variables at all nodes with respect
to the reference node and A
T
is the ...
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Publisher Resources

ISBN: 9781299447028