Zhou, Fengyu and Chen, Yue and Low, Steven H. (2019) Sufficient Conditions for Exact Semi-definite Relaxation of Optimal Power Flow in Unbalanced Multiphase Radial Networks. In: 2019 IEEE 58th Conference on Decision and Control (CDC). IEEE , Piscataway, NJ, pp. 6227-6233. ISBN 9781728113982. https://resolver.caltech.edu/CaltechAUTHORS:20200911-103127164
![[img]](https://authors.library.caltech.edu/style/images/fileicons/application_pdf.png) |
PDF
- Submitted Version
See Usage Policy. 385kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20200911-103127164
Abstract
This paper proves that in an unbalanced multi-phase network with a tree topology, the semi-definite programming relaxation of optimal power flow problems is exact when critical buses are not adjacent to each other. Here a critical bus either contributes directly to the cost function or is where an injection constraint is tight at optimality. Our result generalizes a sufficient condition for exact relaxation in single-phase tree networks to tree networks with arbitrary number of phases.
| Item Type: | Book Section | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Related URLs: |
| |||||||||
| ORCID: |
| |||||||||
| Alternate Title: | Sufficient Conditions for Exact Semidefinite Relaxation of Optimal Power Flow in Unbalanced Multiphase Radial Networks | |||||||||
| Additional Information: | © 2019 IEEE. | |||||||||
| DOI: | 10.1109/cdc40024.2019.9029827 | |||||||||
| Record Number: | CaltechAUTHORS:20200911-103127164 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200911-103127164 | |||||||||
| Official Citation: | F. Zhou, Y. Chen and S. H. Low, "Sufficient Conditions for Exact Semi-definite Relaxation of Optimal Power Flow in Unbalanced Multiphase Radial Networks," 2019 IEEE 58th Conference on Decision and Control (CDC), Nice, France, 2019, pp. 6227-6233, doi: 10.1109/CDC40024.2019.9029827 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 105320 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 11 Sep 2020 17:37 | |||||||||
| Last Modified: | 16 Nov 2021 18:42 |
Repository Staff Only: item control page
