In recent times, research in the field of complex networks has advanced by leaps and

bounds. Researchers have developed mathematical models for different networks such as

epidemic networks, computer networks, power grid networks, and so on. In this thesis, the

power grid has been modeled as a complex network.

The power grid is being used extensively in every field today. Our dependence on the

power grid has exceeded to an extent that we cannot think of survival without electricity.

Recently, there has been an increasing concern about the growing possibility of cascading

failures, due to the fact that the power grid is works close to full utilization. Furthermore,

the problem will be exacerbated by the need to transfer a large amount of power generated by

renewable sources from the regions where it is produced to the regions where it is consumed.

Many researchers have studied these networks to find a solution to the problem of network

robustness. Topological analysis may be considered as one of the components of analysis of

a system's robustness.

In the first part of this thesis, to study the cascading effect on power grid networks from

a topological standpoint, we developed a simulator and used the IEEE standard networks

for our analysis. The cascading effect was simulated on three standard networks, the IEEE

300 bus system, the IEEE 118 bus test system, and the WSCC 179 bus equivalent model.

To extend our analysis to a larger set of networks with different topologies, we developed

a first approximation network generator the creates networks with characteristics similar

to the standard networks but with different topologies. The generated networks were then

compared with the standard networks to show the effect of topology on the robustness

of power grid networks. A comparison of the network metrics for the standard and the

generated networks indicate that the generated networks are more robust than the standard

ones. However, even if the generated topologies show an increased robustness with respect

to the standard topologies, the real implementation and design of power grids based on

those topologies requires further study, and will be considered as future work.

In the second part of this thesis, we studied two mitigation strategies based on load

reduction, Homogeneous load reduction and Targeted range-based load reduction. While

the generic Homogeneous strategy will only mitigate the severity of the cascade when a

non-negligible load reduction is performed, our newly proposed targeted load reduction

strategy is much more efficient, reducing the load only in a small portion of the grid. The

determination of this special portion of the grid is based on an algorithm, which finds the

paths supplying power from the generators to the nodes. This algorithm is described in

details in the Appendix B. While the Homogeneous strategy is easier to implement, efficient

results can be obtained using the targeted strategy.