Efficient algorithm for locating and sizing series compensation devices in large power transmission grids: II. Solutions and applications
Abstract
In a companion manuscript, we developed a novel optimization method for placement, sizing, and operation of Flexible Alternating Current Transmission System (FACTS) devices to relieve transmission network congestion. Specifically, we addressed FACTS that provide Series Compensation (SC) via modification of line inductance. In this manuscript, this heuristic algorithm and its solutions are explored on a number of test cases: a 30-bus test network and a realistically-sized model of the Polish grid (~ 2700 nodes and ~ 3300 lines). The results on the 30-bus network are used to study the general properties of the solutions including non-locality and sparsity. The Polish grid is used as a demonstration of the computational efficiency of the heuristics that leverages sequential linearization of power flow constraints and cutting plane methods that take advantage of the sparse nature of the SC placement solutions. Using these approaches, the algorithm is able to solve an instance of Polish grid in tens of seconds. We explore the utility of the algorithm by analyzing transmission networks congested by (a) uniform load growth, (b) multiple overloaded configurations, and (c) sequential generator retirements.
- Authors:
-
- Moscow Inst. of Physics and Technology (MIPT), Moscow (Russian Federation); Skolkovo Inst. of Science and Technology (Russian Federation); New Mexico Consortium, Los Alamos, NM (United States)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Materials Physics and Applications Div.; New Mexico Consortium, Los Alamos, NM (United States)
- Moscow Inst. of Physics and Technology (MIPT), Moscow (Russian Federation); Skolkovo Inst. of Science and Technology (Russian Federation); Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Center for Nonlinear Studies and Theoretical Div.; New Mexico Consortium, Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1170268
- Report Number(s):
- LA-UR-15-21085
Journal ID: ISSN 1367-2630
- Grant/Contract Number:
- AC52-06NA25396; 1128501; EECS Collaborative Research
- Resource Type:
- Accepted Manuscript
- Journal Name:
- New Journal of Physics
- Additional Journal Information:
- Journal Volume: 16; Journal Issue: 10; Journal ID: ISSN 1367-2630
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 24 POWER TRANSMISSION AND DISTRIBUTION
Citation Formats
Frolov, Vladimir, Backhaus, Scott, and Chertkov, Misha. Efficient algorithm for locating and sizing series compensation devices in large power transmission grids: II. Solutions and applications. United States: N. p., 2014.
Web. doi:10.1088/1367-2630/16/10/105016.
Frolov, Vladimir, Backhaus, Scott, & Chertkov, Misha. Efficient algorithm for locating and sizing series compensation devices in large power transmission grids: II. Solutions and applications. United States. https://doi.org/10.1088/1367-2630/16/10/105016
Frolov, Vladimir, Backhaus, Scott, and Chertkov, Misha. Wed .
"Efficient algorithm for locating and sizing series compensation devices in large power transmission grids: II. Solutions and applications". United States. https://doi.org/10.1088/1367-2630/16/10/105016. https://www.osti.gov/servlets/purl/1170268.
@article{osti_1170268,
title = {Efficient algorithm for locating and sizing series compensation devices in large power transmission grids: II. Solutions and applications},
author = {Frolov, Vladimir and Backhaus, Scott and Chertkov, Misha},
abstractNote = {In a companion manuscript, we developed a novel optimization method for placement, sizing, and operation of Flexible Alternating Current Transmission System (FACTS) devices to relieve transmission network congestion. Specifically, we addressed FACTS that provide Series Compensation (SC) via modification of line inductance. In this manuscript, this heuristic algorithm and its solutions are explored on a number of test cases: a 30-bus test network and a realistically-sized model of the Polish grid (~ 2700 nodes and ~ 3300 lines). The results on the 30-bus network are used to study the general properties of the solutions including non-locality and sparsity. The Polish grid is used as a demonstration of the computational efficiency of the heuristics that leverages sequential linearization of power flow constraints and cutting plane methods that take advantage of the sparse nature of the SC placement solutions. Using these approaches, the algorithm is able to solve an instance of Polish grid in tens of seconds. We explore the utility of the algorithm by analyzing transmission networks congested by (a) uniform load growth, (b) multiple overloaded configurations, and (c) sequential generator retirements.},
doi = {10.1088/1367-2630/16/10/105016},
journal = {New Journal of Physics},
number = 10,
volume = 16,
place = {United States},
year = {Wed Oct 01 00:00:00 EDT 2014},
month = {Wed Oct 01 00:00:00 EDT 2014}
}
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Works referenced in this record:
Use of UPFC for optimal power flow control
journal, January 1997
- Noroozian, M.; Angquist, L.; Ghandhari, M.
- IEEE Transactions on Power Delivery, Vol. 12, Issue 4
A study of TCSC controller design for power system stability improvement
journal, November 2003
- Del Rosso, A. D.; Canizares, C. A.; Dona, V. M.
- IEEE Transactions on Power Systems, Vol. 18, Issue 4
A Comprehensive Comparison of FACTS Devices for Enhancing Static Voltage Stability
conference, June 2007
- Sode-Yome, A.; Mithulananthan, N.; Lee, Kwang Y.
- 2007 IEEE Power Engineering Society General Meeting
Coordinated secondary voltage control to eliminate voltage violations in power system contingencies
journal, May 2003
- Hai Feng Wang, ; Li, H.; Chen, H.
- IEEE Transactions on Power Systems, Vol. 18, Issue 2
Efficient algorithm for locating and sizing series compensation devices in large power transmission grids: I. Model implementation
journal, October 2014
- Frolov, Vladimir; Backhaus, Scott; Chertkov, Misha
- New Journal of Physics, Vol. 16, Issue 10
Ripe for Retirement: An Economic Analysis of the U.S. Coal Fleet
journal, December 2013
- Fleischman, Lesley; Cleetus, Rachel; Deyette, Jeff
- The Electricity Journal, Vol. 26, Issue 10
A Quantitative Analysis of the Relationship Between Congestion and Reliability in Electric Power Networks
journal, October 2007
- Blumsack, Seth; Lave, Lester B.; Ilic, Marija
- The Energy Journal, Vol. 28, Issue 4
Enhancing Sparsity by Reweighted ℓ 1 Minimization
journal, October 2008
- Candès, Emmanuel J.; Wakin, Michael B.; Boyd, Stephen P.
- Journal of Fourier Analysis and Applications, Vol. 14, Issue 5-6
Chance-Constrained Optimal Power Flow: Risk-Aware Network Control under Uncertainty
journal, January 2014
- Bienstock, Daniel; Chertkov, Michael; Harnett, Sean
- SIAM Review, Vol. 56, Issue 3