This circuit had no free node voltage variable. The three independent voltage sources
suitably connected had fixed the node voltage variables already. Thus, there was no circuit
analysis problem to begin with.
Three independent voltage sources in a four-node circuit need not necessarily result
in a fully constrained circuit. For instance, assume that the source V
3
is shifted and connected
between node-1 and node-2. We note that the three independent voltage sources will then
form a closed loop in which the KVL equation will lead to an inconsistent equation
2 2 1 0. Practically this means that all the three sources are getting shorted
together ...
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