Polynomial Optimization Applied to Power Network Operations

Explore polynomial optimization techniques applied to power network operations in this 52-minute lecture from the Fields Institute's Optimization: Theory, Algorithms, Applications series. Delve into topics such as polynomial programming, sum-of-square relaxations, and sparse relaxations for polynomial optimization problems. Learn about the AC Optimal Power Flow problem, its challenges, and proposed solution methods. Examine the application of these techniques to power systems with uncertainty, including adjustable robust ACOPF and piecewise-affine approximations. Gain insights from numerical experiments conducted on power network instances ranging from 30 to 118 buses. Presented by Bissan Ghaddar from Western University, this talk provides a comprehensive overview of advanced optimization methods for tackling complex power network operational challenges.