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A mathematical programming formulation for long-term infrastructure investment planning in Small Island Developing States

Mixed-integer programming is a common method used in electricity generation and transmission optimization models. However, the size of the problem can result in extraordinarily long run times. Solve time also increases exponentially with the number of variables to optimize. There is therefore a cons...

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Autores principales: Atkinson, Travis R., Preckel, Paul V., Gotham, Douglas
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8563478/
https://www.ncbi.nlm.nih.gov/pubmed/34754779
http://dx.doi.org/10.1016/j.mex.2021.101508
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author Atkinson, Travis R.
Preckel, Paul V.
Gotham, Douglas
author_facet Atkinson, Travis R.
Preckel, Paul V.
Gotham, Douglas
author_sort Atkinson, Travis R.
collection PubMed
description Mixed-integer programming is a common method used in electricity generation and transmission optimization models. However, the size of the problem can result in extraordinarily long run times. Solve time also increases exponentially with the number of variables to optimize. There is therefore a constant trade-off between a realistic representation of the network and computational tractability. Additionally, actual data and publicly available, real-world application are scare. This is particularly true for Small Island Developing States. This paper bridges these gaps by describing a customized mathematical formulation for co-optimizing generation and transmission infrastructure investments. Data from the island of Jamaica and program scripts are available for reproduction. Key customizations to a mixed-integer programming model for long-term generation and transmission infrastructure investment planning include: • Hours are treated as representative hour categories and multiplied by the number of hour types within a given period. • Simulated construction is limited to every other year. • While fossil fuel plants are treated as discrete variables, renewable energy plants are treated as continuous variables.
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spelling pubmed-85634782021-11-08 A mathematical programming formulation for long-term infrastructure investment planning in Small Island Developing States Atkinson, Travis R. Preckel, Paul V. Gotham, Douglas MethodsX Method Article Mixed-integer programming is a common method used in electricity generation and transmission optimization models. However, the size of the problem can result in extraordinarily long run times. Solve time also increases exponentially with the number of variables to optimize. There is therefore a constant trade-off between a realistic representation of the network and computational tractability. Additionally, actual data and publicly available, real-world application are scare. This is particularly true for Small Island Developing States. This paper bridges these gaps by describing a customized mathematical formulation for co-optimizing generation and transmission infrastructure investments. Data from the island of Jamaica and program scripts are available for reproduction. Key customizations to a mixed-integer programming model for long-term generation and transmission infrastructure investment planning include: • Hours are treated as representative hour categories and multiplied by the number of hour types within a given period. • Simulated construction is limited to every other year. • While fossil fuel plants are treated as discrete variables, renewable energy plants are treated as continuous variables. Elsevier 2021-09-05 /pmc/articles/PMC8563478/ /pubmed/34754779 http://dx.doi.org/10.1016/j.mex.2021.101508 Text en © 2021 The Authors. Published by Elsevier B.V. https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Method Article
Atkinson, Travis R.
Preckel, Paul V.
Gotham, Douglas
A mathematical programming formulation for long-term infrastructure investment planning in Small Island Developing States
title A mathematical programming formulation for long-term infrastructure investment planning in Small Island Developing States
title_full A mathematical programming formulation for long-term infrastructure investment planning in Small Island Developing States
title_fullStr A mathematical programming formulation for long-term infrastructure investment planning in Small Island Developing States
title_full_unstemmed A mathematical programming formulation for long-term infrastructure investment planning in Small Island Developing States
title_short A mathematical programming formulation for long-term infrastructure investment planning in Small Island Developing States
title_sort mathematical programming formulation for long-term infrastructure investment planning in small island developing states
topic Method Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8563478/
https://www.ncbi.nlm.nih.gov/pubmed/34754779
http://dx.doi.org/10.1016/j.mex.2021.101508
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