Optimal capacitor placement on radial distribution systems
Abstract
The problem of capacitor placement on a radial distribution system is formulated and a solution algorithm is proposed. The location, type, and size of capacitors, voltage constraints, and load variations are considered. The objective of capacitor placement is peak power and energy loss reduction, taking into account the cost of the capacitors. The problem is formulated as a mixed integer programming problem. The power flows in the system are explicitly represented, and the voltage constraints are incorporated. A solution method has been implemented that decomposes the problem into a master problem and a slave problem. The master problem is used to determine the location of the capacitors. The slave problem is used by the master problem to determine the type and size of the capacitors placed on the system. In solving the slave problem, and efficient phase I-phase II algorithm is used.>
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The linear approximations S_lin_ij(s) and W_lin_ii(s) are close to S_ij and W_ii in practice.
“The linear approximations S lin ij ( s ) and W lin ii ( s ) are close to S ij and W ii in practice.”
From Optimal power flow in distribution networks (2018) · cites this paper as [19]
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Local Control of Reactive Power by Distributed Photovoltaic Generators
Turitsyn, K., Sulc, P., Backhaus, S., & Chertkov, M. (2010) · 2010 First IEEE International Conference on Smart Grid Communications · doi:10.1109/smartgrid.2010.5622021 · Cited by 200 · see citing works
Predicting AC Optimal Power Flows: Combining Deep Learning and Lagrangian Dual Methods
Fioretto, F., Mak, T. W. K., & Van Hentenryck, P. (2020) · Proceedings of the AAAI Conference on Artificial Intelligence · doi:10.1609/aaai.v34i01.5403 · Cited by 29 · see citing works
Optimal power flow in distribution networks
(2018) · Metaheuristic Optimization in Power Engineering · doi:10.1049/pbpo131e_ch9 · Cited by 15 · see citing works
- Authors
- Baran, M. E., & Wu, F. F.
- Affiliations
- University of California, Berkeley (US)
- ORCID
- Baran, M.E.
- Venue
- IEEE Transactions on Power Delivery
- Published
- 1989
- Volume
- 4
- Issue
- 1
- Pages
- 725-734
- ISSN
- 0885-8977 (ISSN-L)
- OpenAlex
- W2074628584
- Cited by
- 2,062
- References
- 0
- Citations by year
- 2026: 96 · 2025: 93 · 2024: 115 · 2023: 132 · 2022: 104 · 2021: 167 · 2020: 153 · 2019: 145 · 2018: 117 · 2017: 130 · 2016: 127 · 2015: 90 · 2014: 86 · 2013: 68 · 2012: 69
- FWCI
- 6.14
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Power Delivery (publishedVersion)
- Funders
- National Science Foundation
- Türkiye Bilimsel ve Teknolojik Araştırma Kurumu
- Topics
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Optimal Power Flow Distribution
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Power System Optimization and Stability
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Electric Power System Optimization
- Keywords
- capacitor placement, radial distribution systems, power loss reduction, peak power reduction, mixed integer programming, Benders decomposition, voltage constraints, capacitor sizing, power flow
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