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On the Existence and Linear Approximation of the Power Flow Solution in Power Distribution Networks
Open accessAbstract
We consider the problem of deriving an explicit approximate solution of the nonlinear power equations that describe a balanced power distribution network. We give sufficient conditions for the existence of a practical solution to the power flow equations, and we propose an approximation that is linear in the active and reactive power demands of the PQ buses. For this approximation, which is valid for generic power line impedances and grid topology, we derive a bound on the approximation error as a function of the grid parameters. We illustrate the quality of the approximation via simulations, we show how it can also model the presence of voltage controlled (PV) buses, and we discuss how it generalizes the DC power flow model to lossy networks.
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Sundstrom, O., & Binding, C. (2012) · IEEE Transactions on Smart Grid · doi:10.1109/tsg.2011.2168431 · Cited by 571
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Detecting False Data Injection Attacks in Smart Grids: A Semi-Supervised Deep Learning Approach
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Mashayekh, S., Stadler, M., Cardoso, G., & Heleno, M. (2017) · Applied Energy · doi:10.1016/j.apenergy.2016.11.020 · Cited by 267
Linear method for steady-state analysis of radial distribution systems
Di Fazio, A. R., Russo, M., Valeri, S., & De Santis, M. (2018) · International Journal of Electrical Power & Energy Systems · doi:10.1016/j.ijepes.2018.02.001 · Cited by 63
Practical Data-Driven Methods to Improve the Accuracy and Detail of Hosting Capacity Analysis
Deboever, J., Grijalva, S., Peppanen, J., Rylander, M., & Smith, J. (2018) · 2018 IEEE 7th World Conference on Photovoltaic Energy Conversion (WCPEC) (A Joint Conference of 45th IEEE PVSC, 28th PVSEC & 34th EU PVSEC) · doi:10.1109/pvsc.2018.8547693 · Cited by 13
Metadata
- Authors
- Bolognani, S., & Zampieri, S.
- Venue
- IEEE Transactions on Power Systems
- Published
- 2016-01
- Volume
- 31
- Issue
- 1
- Pages
- 163-172
- ISSN
- 0885-8950 (ISSN-L)
- 1558-0679
- OpenAlex
- W1984452440
- Cited by
- 449
- References
- 1
- FWCI
- 22.93
- Type
- journal article
- Language
- en
- Open access
- green
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- Bolognani, S., & Zampieri, S. (2016). On the Existence and Linear Approximation of the Power Flow Solution in Power Distribution Networks. IEEE Transactions on Power Systems. https://doi.org/10.1109/tpwrs.2015.2395452
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