Solar farm cable layout optimization as a graph problem

Abstract We introduce the Solar Farm Cable Layout Problem (SoFaCLaP), a novel graph-theoretic optimization problem. SoFaCLaP formalizes the task of finding a cost-optimal cable layout in a solar farm where PV string positions are already determined but the positions of other components such as trans...

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Main Authors: Sascha Gritzbach, Dominik Stampa, Matthias Wolf
Format: Article
Language:English
Published: SpringerOpen 2022-09-01
Series:Energy Informatics
Subjects:
Online Access:https://doi.org/10.1186/s42162-022-00200-z
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author Sascha Gritzbach
Dominik Stampa
Matthias Wolf
author_facet Sascha Gritzbach
Dominik Stampa
Matthias Wolf
author_sort Sascha Gritzbach
collection DOAJ
description Abstract We introduce the Solar Farm Cable Layout Problem (SoFaCLaP), a novel graph-theoretic optimization problem. SoFaCLaP formalizes the task of finding a cost-optimal cable layout in a solar farm where PV string positions are already determined but the positions of other components such as transformers can be picked from a set of candidate positions. The problem statement incorporates a network flow model in which the flow value of a connection represents the number of strings that are (indirectly) connected to a transformer via this connection. A mixed-integer linear program (MILP) formulation is proposed that uses binary variables to indicate which of several available cable types is chosen for each connection. We propose a framework to randomly generate benchmark instances to evaluate any algorithmic approach to SoFaCLaP. In particular, we generate a set of instances based on real-world solar farm characteristics. With an extensive evaluation of the MILP formulation on those instances we establish mixed-integer linear programming as a baseline for future algorithmic approaches to finding solar farm cable layouts.
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spelling doaj.art-445c1af59ac64c5684164ce6a4df05bd2022-12-22T04:24:51ZengSpringerOpenEnergy Informatics2520-89422022-09-015S112010.1186/s42162-022-00200-zSolar farm cable layout optimization as a graph problemSascha Gritzbach0Dominik Stampa1Matthias Wolf2Karlsruhe Institute of TechnologyKarlsruhe Institute of TechnologyKarlsruhe Institute of TechnologyAbstract We introduce the Solar Farm Cable Layout Problem (SoFaCLaP), a novel graph-theoretic optimization problem. SoFaCLaP formalizes the task of finding a cost-optimal cable layout in a solar farm where PV string positions are already determined but the positions of other components such as transformers can be picked from a set of candidate positions. The problem statement incorporates a network flow model in which the flow value of a connection represents the number of strings that are (indirectly) connected to a transformer via this connection. A mixed-integer linear program (MILP) formulation is proposed that uses binary variables to indicate which of several available cable types is chosen for each connection. We propose a framework to randomly generate benchmark instances to evaluate any algorithmic approach to SoFaCLaP. In particular, we generate a set of instances based on real-world solar farm characteristics. With an extensive evaluation of the MILP formulation on those instances we establish mixed-integer linear programming as a baseline for future algorithmic approaches to finding solar farm cable layouts.https://doi.org/10.1186/s42162-022-00200-zSolar farmCable layoutMixed-integer linear programBenchmark generationGraph
spellingShingle Sascha Gritzbach
Dominik Stampa
Matthias Wolf
Solar farm cable layout optimization as a graph problem
Energy Informatics
Solar farm
Cable layout
Mixed-integer linear program
Benchmark generation
Graph
title Solar farm cable layout optimization as a graph problem
title_full Solar farm cable layout optimization as a graph problem
title_fullStr Solar farm cable layout optimization as a graph problem
title_full_unstemmed Solar farm cable layout optimization as a graph problem
title_short Solar farm cable layout optimization as a graph problem
title_sort solar farm cable layout optimization as a graph problem
topic Solar farm
Cable layout
Mixed-integer linear program
Benchmark generation
Graph
url https://doi.org/10.1186/s42162-022-00200-z
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AT matthiaswolf solarfarmcablelayoutoptimizationasagraphproblem