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Decomposition of n‐winding transformers for unbalanced optimal power flow

Authors: Claeys, Sander; Deconinck, Geert; Geth, Frederik;

Decomposition of n‐winding transformers for unbalanced optimal power flow

Abstract

This study proposes a model for multi‐phase, multi‐winding, lossy transformers. A methodology is developed to decompose such transformers into a sub‐network of multi‐conductor ‐sections, shunts and idealised (lossless) two‐winding transformers. The approach, therefore, can be used to include three‐phase transformer models in any unbalanced power flow or optimal power flow tool that is able to represent these three basic components. The study derives the mathematical formulation and an implementation is provided in Julia/JuMP/PowerModelsDistribution.jl. The obtained voltage profile for several distribution test cases deviates from OpenDSS by at most . A case study applies this model to optimise the tap settings in the context of conservative voltage reduction. This illustrates that the optimised tap settings can vary by as much as 30% depending on the vector group of the transformer.

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Keywords

Technology, n-winding transformers decomposition, optimisation, multiphase transformers, mathematical analysis, Engineering, multiwinding transformers, SYSTEMS, voltage profile, multiconductor sections, Science & Technology, power engineering computing, Energy, transformer windings, mathematical formulation, 4008 Electrical engineering, conservative voltage reduction, Engineering, Electrical & Electronic, OpenDSS, power transformers, Julia-JuMP-power models distribution, NETWORKS, 0906 Electrical and Electronic Engineering, three-phase transformer models, distribution networks, 4009 Electronics, sensors and digital hardware, load flow, unbalanced optimal power flow, lossy transformers

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
10
Top 10%
Average
Top 10%
Green
Published in a Diamond OA journal