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Cited by 49Optimal Power Flow DistributionPower Quality and HarmonicsPower System Optimization and Stability

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Unbalanced Power Flow in Distribution Systems With Embedded Transformers Using the Complex Theory in <formula formulatype="inline"> <tex Notation="TeX">$\alpha \beta 0\;$</tex></formula> Stationary Reference Frame

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Arboleya, Pablo, Gonzalez-Moran, Cristina, Coto, Manuel·2014·IEEE Transactions on Power Systems
DOI 10.1109/tpwrs.2013.2292112
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Abstract

This paper presents three new contributions to power flow analysis of unbalanced three-phase distribution systems. First, a complex vector based model in$\alpha \beta 0\;$stationary reference frame is developed to state the power flow equations using a compact matrix formulation. The proposed model is based on Kirchhoff's current law (KCL) and Kirchhoff's voltage law (KVL). Then, a general and exact power transformer model in the$\alpha \beta 0\;$reference frame is proposed. Finally, this transformer model is incorporated into the power flow problem. It will be shown that the use of an orthogonal reference frame simplifies the modeling of the distribution network components. In this work, both the network and the power transformer, as well as PQ type loads, PQ and PV type generators and a slack bus are modeled. By using the node incidence matrix instead of the admittance matrix, the information about the grid topology and the grid parameters (including power transformers) is separately organized. As it will be demonstrated, the proposed formulation is ready to incorporate other complex models of loads, generators or storage devices. The model is tested by using the IEEE 4-Node and the IEEE 123-Node Test Feeders with different transformer connections and balanced and unbalanced lines and loads.

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Research works printed but not linked: 31

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Metadata

Authors
Arboleya, P., Gonzalez-Moran, C., & Coto, M.
Affiliations
Universidad de Oviedo (ES)
Venue
IEEE Transactions on Power Systems
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Published
2014-05
Volume
29
Issue
3
Pages
1012-1022
ISSN
  • 0885-8950 (ISSN-L)
  • 1558-0679
DOI
10.1109/tpwrs.2013.2292112
OpenAlex
W1969351199
Cited by
49
References
0
Citations by year
2026: 3 · 2025: 2 · 2024: 2 · 2023: 4 · 2022: 7 · 2021: 3 · 2020: 2 · 2019: 7 · 2018: 4 · 2017: 7 · 2016: 4 · 2015: 3 · 2014: 1
FWCI
2.66
Type
journal article
Language
en
Open access
Licence
Locations
  • IEEE Transactions on Power Systems (publishedVersion)
  • Consultation of the Doctoral Thesis Database (TESEO) (Ministerio de Educación, Cultura y Deporte) (submittedVersion, cc-by-nc-nd)
Topics
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Optimal Power Flow Distribution
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Power Quality and Harmonics
  • Physical Sciences › Engineering › Electrical and Electronic Engineering › Power System Optimization and Stability
Keywords
unbalanced power flow, distribution systems, Kirchhoff's laws, IEEE 123-node test feeder, transformer connections

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