Transmission line capacity ratings are often treated as a fixed nominal value; however, these
ratings can be temporarily increased to a higher rating that can be leveraged when …

The inherent flexibility of the power system is becoming weak with the proliferation of wind
generators into the traditional power system. The integration of large-scale wind power in a …

This cumulative habilitation thesis is a collection of summaries of various topics in
mathematical optimization. Stochastic optimization is the unifying theme of these works …

Consider a set of finitely many scenarios ω∈ Ω and a finite discrete time horizon t∈ T. At
each time t, let Et and Et denote the complementary sets of scenarios that result in “failure” …

Integrating renewable energy into the power grid is challenging due to the intermittent,
variable, and non-dispatchable characteristics of renewable energy generation. From …