Convex Relaxations in Power System Optimization: Towards Robust AC OPF (extra)

Convex relaxations of the AC power flow equations have attracted significant interest in the power systems research community in recent years. This collection of videos provides a brief introduction to the mathematics of AC power systems, continuous nonlinear optimization, and relaxations of the power flow equations.

This lecture demonstrates how convex relaxations can be utilized to guarantee robust constraint feasibility for a stochastic variant of the AC Optimal PowerFlow problem, as presented in the reference below. The method uses convex relaxations to provide conservative bounds on the impact of uncertainty. To avoid overly conservative results, a combination of multiple convex relaxations and bound tightening is utilized.

References in the video:

LA-UR-18-26156

[MuhammadUsman-wsov]

This is really cool stuff. Sometimes, it becomes really hard to fully understand the concept from the papers. You guys have made it quite easy to comprehend this concept. Thanks a lot.