LAPSE:2023.19344
Published Article
LAPSE:2023.19344
Two-Stage Stochastic Model to Invest in Distributed Generation Considering the Long-Term Uncertainties
Jorge Luis Angarita-Márquez, Geev Mokryani, Jorge Martínez-Crespo
March 9, 2023
Abstract
This paper used different risk management indicators applied to the investment optimization performed by consumers in Distributed Generation (DG). The objective function is the total cost incurred by the consumer including the energy and capacity payments, the savings, and the revenues from the installation of DG, alongside the operation and maintenance (O&M) and investment costs. Probability density function (PDF) was used to model the price volatility in the long-term. The mathematical model uses a two-stage stochastic approach: investment and operational stages. The investment decisions are included in the first stage and which do not change with the scenarios of the uncertainty. The operation variables are in the second stage and, therefore, take different values with every realization. Three risk indicators were used to assess the uncertainty risk: Value-at-Risk (VaR), Conditional Value-at-Risk (CVaR), and Expected Value (EV). The results showed the importance of migration from deterministic models to stochastic ones and, most importantly, the understanding of the ramifications of every risk indicator.
Keywords
distributed generation, energy markets, energy trading, mix-integer linear programming, two-stage stochastic programming
Suggested Citation
Angarita-Márquez JL, Mokryani G, Martínez-Crespo J. Two-Stage Stochastic Model to Invest in Distributed Generation Considering the Long-Term Uncertainties. (2023). LAPSE:2023.19344
Author Affiliations
Angarita-Márquez JL: Faculty of Engineering and Informatics, University of Bradford, Bradford BD7 1DP, UK
Mokryani G: Faculty of Engineering and Informatics, University of Bradford, Bradford BD7 1DP, UK [ORCID]
Martínez-Crespo J: Electrical Engineering Department, Universidad Carlos III de Madrid, 28911 Madrid, Spain
Journal Name
Energies
Volume
14
Issue
18
First Page
5694
Year
2021
Publication Date
2021-09-10
ISSN
1996-1073
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Original Submission
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PII: en14185694, Publication Type: Journal Article
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LAPSE:2023.19344
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https://doi.org/10.3390/en14185694
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