Relaxations of AC Maximal Load Delivery for Severe Contingency Analysis
Abstract
This work considers the task of finding an AC-feasible operating point of a severely damaged transmission network while ensuring that a maximal amount of active power loads can be delivered. This AC Maximal Load Delivery (AC-MLD) task is a nonconvex nonlinear optimization problem that is incredibly challenging to solve on large-scale transmission system datasets. This work demonstrates that convex relaxations of the AC-MLD problem provide a reliable and scalable method for finding high-quality bounds on the amount of active power that can be delivered in the AC-MLD problem. To demonstrate their effectiveness, the solution methods proposed in this work are rigorously evaluated on 1000 N-k scenarios on seven power networks ranging in size from 70 to 6000 buses. The most effective relaxation of the AC-MLD problem converges in less than 20 seconds on commodity computing hardware for all 7000 of the scenarios considered.
Keywords
Cite
@article{arxiv.1710.07861,
title = {Relaxations of AC Maximal Load Delivery for Severe Contingency Analysis},
author = {Carleton Coffrin and Russell Bent and Byron Tasseff and Kaarthik Sundar and Scott Backhaus},
journal= {arXiv preprint arXiv:1710.07861},
year = {2018}
}
Comments
The problem considered in this work is also known as AC Minimal Load-Shedding