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The Complexity of Switching and FACTS Maximum-Potential-Flow Problems
- Publication Year :
- 2015
-
Abstract
- This papers considers the problem of maximizing the load that can be served by a power network. We use the commonly accepted Linear DC power network model and consider wo configuration options: switching lines and using FACTS devices. We present the first comprehensive complexity study of this optimization problem. Our results show hat the problem is NP-complete and that there is no fully polynomial-time approximation scheme. For switching, these results extend to planar networks with a aximum-node degree of 3. Additionally, we demonstrate that the optimization problems are still NP-hard if we restrict the network structure to cacti with a maximum degree of 3.<br />Comment: arXiv admin note: text overlap with arXiv:1411.4369
- Subjects :
- Computer Science - Computational Complexity
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1507.04820
- Document Type :
- Working Paper