Strong NP-hardness of AC power flows feasibility
Daniel Bienstock, Abhinav Verma

TL;DR
This paper proves that determining the feasibility of AC power flows is strongly NP-hard, indicating significant computational complexity in solving such power system problems.
Contribution
It provides a rigorous proof establishing the strong NP-hardness of the AC-OPF problem, a fundamental issue in power system optimization.
Findings
AC-OPF problem is strongly NP-hard
Computational complexity implications for power system optimization
No efficient algorithms are likely to solve all instances quickly
Abstract
We present a rigorous proof of strong NP-hardness of the AC-OPF problem.
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