17.3 KIRCHHOFF’S LAWS IN INCIDENCE MATRIX FORMULATION
17.3.1 KCL Equations from A Matrix
Kirchhoff’s Current Law states that the sum of currents leaving a node in a network is zero
on an instant-to-instant basis at all nodes in the network. The orientation of a particular
branch in the graph of a network was taken to be the same as the reference direction for cur-
rent in that branch. The incidence matrix entry is +1 if a branch is incident at a node with
orientation away from the node. It is 1 if a branch is incident at a particular node and is
oriented towards it. Therefore, the KCL equation at a node can be obtained by multiplying
the entries in ...
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