A Topological Investigation of Power Flow

This paper combines the fundamentals of an electrical grid, such as flow allocation according to Kirchhoff’s laws and the effect of transmission line reactances with spectral graph theory, and expresses the linearized power flow behaviour in slack-bus independent weighted graph matrices to assess the relation between the topological structure...

Structural vulnerability analysis of electric power distribution grids

Power grid outages cause huge economical and societal costs. Disruptions in the power distribution grid are responsible for a significant fraction of electric power unavailability to customers. The impact of extreme weather conditions, continuously increasing demand, and the over-ageing of assets in the grid, deteriorates the safety of...

On Robustness of Power Grids

Current and future trends in environmental, economical, and human-caused factors (such as power demand growth, over-ageing of assets in power grids, and extreme weather conditions) challenge power grid robustness in the near future, necessitating research to better analyse and understand the notion of robustness in power grids, and ultimately to...

Vulnerability of Power Grids to Cascading Failures

Power sector vulnerability has been a key issue in society for over a decade. A component failure may trigger cascades of failures across the grid and lead to a large blackout. Complex Network approaches have shown a direction to study some of the problems faced by power grids and it is a continuing challenge thus far. Power grids have been...