1. Relaxations of AC Maximal Load Delivery for Severe Contingency Analysis.
- Author
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Coffrin, Carleton, Bent, Russell, Tasseff, Byron, Sundar, Kaarthik, and Backhaus, Scott
- Subjects
- *
TRANSMISSION network calculations , *INDEPENDENT system operators , *ELECTRIC power systems , *ELECTRIC utilities , *POWER system simulation - 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 data sets. 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. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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