On the existence and uniqueness of load flow solution for radial distribution power networks
Abstract
On the basis of voltage level, an electric power system can be viewed as consisting of a generation system, a transmission system, and a distribution system. The steady-state operation of a power system requires that the power supply, transmission losses, and load demand be balanced, as described by the load flow equations. The configuration of a transmission network is that of a loop while the configuration of a distributed network is radial. It is well recognized that the number of load flow solutions for transmission networks, if they exist, are multiple. In contrast, it is shown here that a load flow solution with feasible voltage magnitude for radial distribution networks always exists and is unique. These results demonstrate the weak ability of radial distribution networks to meet load demands in the sense that different patterns of load demand require different power supply from the substation.>
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Given s = p + i q, there exists a unique voltage V(s) near the nominal value that satisfies the power flow constraint (1).
“It is claimed in [25] that given s = p + i q , there exists a unique voltage V ( s ) near the nominal value that satisfies the power flow constraint (1).”
From Optimal power flow in distribution networks (2018) · cites this paper as [25]
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Optimal power flow in distribution networks
(2018) · Metaheuristic Optimization in Power Engineering · doi:10.1049/pbpo131e_ch9 · Cited by 15 · see citing works
- Authors
- Chiang, H.-D., & Baran, M. E.
- Affiliations
- Cornell University (US)
- University of California, Berkeley (US)
- Venue
- IEEE Transactions on Circuits and Systems
- Published
- 1990-03
- Volume
- 37
- Issue
- 3
- Pages
- 410-416
- ISSN
- 0098-4094 (ISSN-L)
- OpenAlex
- W1997635994
- Cited by
- 156
- References
- 0
- Citations by year
- 2026: 2 · 2025: 5 · 2024: 3 · 2023: 2 · 2022: 5 · 2021: 7 · 2020: 5 · 2019: 11 · 2018: 8 · 2017: 14 · 2016: 13 · 2015: 15 · 2014: 15 · 2013: 13 · 2012: 4
- FWCI
- 4.78
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Circuits and Systems (publishedVersion)
- 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
- power flow analysis, radial distribution systems, existence of solutions, uniqueness of solutions, voltage magnitude, power supply, load demand, distribution systems, transmission networks
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