  We present the study on the Indian power transmission network using the
framework of a complex network and quantify its structural properties. For
this, we build the network structure underlying the Indian power grid, using
two of its most prevalent power lines. We construct an equivalent model of an
exponential network and study its structural changes with changes in two
parameters related to redundancy and dead-ends. Then we analyze its stability
against cascading failures by varying these two parameters using the link
failure model. This helps to gain insight into the relation of network topology
to its stability, and indicates how the optimum choice of these parameters can
result in a power grid structure with minimum failed links. We apply the same
model to study the robustness of the Indian power grid against such failures.
In this case, we find that when a link connected to a generator fails, it
results in a cascade that spreads in the grid until it is split into two
separate stable clusters of generators and consumers, with over one-third of
its nodes nonfunctiona
