Modeling of a Biomass-Based Energy Production Case Study Using Flexible Inputs with the P-Graph Framework

In this work, a modeling technique utilizing the P-Graph framework was used for a case study involving biomass-based local energy production. In recent years, distributed energy systems gained attention. These systems aim to satisfy energy supply demands, support the local economy, decrease transpor...

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Main Authors: András Éles, István Heckl, Heriberto Cabezas
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/17/3/687
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author András Éles
István Heckl
Heriberto Cabezas
author_facet András Éles
István Heckl
Heriberto Cabezas
author_sort András Éles
collection DOAJ
description In this work, a modeling technique utilizing the P-Graph framework was used for a case study involving biomass-based local energy production. In recent years, distributed energy systems gained attention. These systems aim to satisfy energy supply demands, support the local economy, decrease transportation needs and dependence on imports, and, in general, obtain a more sustainable energy production process. Designing such systems is a challenge, for which novel optimization approaches were developed to help decision making. Previous work used the P-Graph framework to optimize energy production in a small rural area, involving manure, intercrops, grass, and corn silage as inputs and fermenters. Biogas is produced in fermenters, and Combined Heat and Power (CHP) plants provide heat and electricity. A more recent result introduced the concept of operations with flexible inputs in the P-Graph framework. In this work, the concept of flexible inputs was applied to model fermenters in the original case study. A new implementation of the original decision problem was made both as a Mixed-Integer Linear Programming (MILP) model and as a purely P-Graph model by using the flexible input technique. Both approaches provided the same optimal solution, with a 31% larger profit than the fixed input model.
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spelling doaj.art-f290d60e48eb439b819955b7dff2baa62024-02-09T15:11:37ZengMDPI AGEnergies1996-10732024-01-0117368710.3390/en17030687Modeling of a Biomass-Based Energy Production Case Study Using Flexible Inputs with the P-Graph FrameworkAndrás Éles0István Heckl1Heriberto Cabezas2Department of Computer Science and Systems Technology, University of Pannonia, 8200 Veszprém, HungaryDepartment of Computer Science and Systems Technology, University of Pannonia, 8200 Veszprém, HungaryDepartment of Applied Sustainability, Albert Kázmér Faculty of Agricultural and Food Sciences, Széchenyi István University of Győr, 9026 Győr, HungaryIn this work, a modeling technique utilizing the P-Graph framework was used for a case study involving biomass-based local energy production. In recent years, distributed energy systems gained attention. These systems aim to satisfy energy supply demands, support the local economy, decrease transportation needs and dependence on imports, and, in general, obtain a more sustainable energy production process. Designing such systems is a challenge, for which novel optimization approaches were developed to help decision making. Previous work used the P-Graph framework to optimize energy production in a small rural area, involving manure, intercrops, grass, and corn silage as inputs and fermenters. Biogas is produced in fermenters, and Combined Heat and Power (CHP) plants provide heat and electricity. A more recent result introduced the concept of operations with flexible inputs in the P-Graph framework. In this work, the concept of flexible inputs was applied to model fermenters in the original case study. A new implementation of the original decision problem was made both as a Mixed-Integer Linear Programming (MILP) model and as a purely P-Graph model by using the flexible input technique. Both approaches provided the same optimal solution, with a 31% larger profit than the fixed input model.https://www.mdpi.com/1996-1073/17/3/687P-Graph frameworkflexible inputsmixed-integer linear programmingbiomasssustainability
spellingShingle András Éles
István Heckl
Heriberto Cabezas
Modeling of a Biomass-Based Energy Production Case Study Using Flexible Inputs with the P-Graph Framework
Energies
P-Graph framework
flexible inputs
mixed-integer linear programming
biomass
sustainability
title Modeling of a Biomass-Based Energy Production Case Study Using Flexible Inputs with the P-Graph Framework
title_full Modeling of a Biomass-Based Energy Production Case Study Using Flexible Inputs with the P-Graph Framework
title_fullStr Modeling of a Biomass-Based Energy Production Case Study Using Flexible Inputs with the P-Graph Framework
title_full_unstemmed Modeling of a Biomass-Based Energy Production Case Study Using Flexible Inputs with the P-Graph Framework
title_short Modeling of a Biomass-Based Energy Production Case Study Using Flexible Inputs with the P-Graph Framework
title_sort modeling of a biomass based energy production case study using flexible inputs with the p graph framework
topic P-Graph framework
flexible inputs
mixed-integer linear programming
biomass
sustainability
url https://www.mdpi.com/1996-1073/17/3/687
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AT istvanheckl modelingofabiomassbasedenergyproductioncasestudyusingflexibleinputswiththepgraphframework
AT heribertocabezas modelingofabiomassbasedenergyproductioncasestudyusingflexibleinputswiththepgraphframework