Convex Relaxations in Power System Optimization: A Brief Introduction

Understand

Convex relaxations of the AC power flow equations have attracted significant interest in the power systems research community in recent years.

• The following collection of video lectures provides a brief introduction to the mathematics of AC power systems, continuous nonlinear optimization, and relaxations of the power flow equations.
• The aim of the videos is to provide the high level ideas of convex relaxations and their applications in power system optimization, and could be used as a starting point for researchers who want to study, use or develop new convex relaxations for use in their own research.
• The videos do not aim to provide an in-depth tutorial about specific convex relaxations, but rather focus on ideas that are common to all convex relaxations of the AC optimal power flow problem.