Stochastic Capacity Expansion Model Accounting for Uncertainties in Fuel Prices, Renewable Generation, and Demand

Capacity expansion models for electricity grids typically use deterministic optimization, addressing uncertainty through ex-post analysis by varying input parameters. This paper presents a stochastic capacity expansion model that integrates uncertainty directly into optimization, enabling the select...

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Main Authors: Naga Srujana Goteti, Eric Hittinger, Eric Williams
Format: Article
Language:English
Published: MDPI AG 2025-03-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/18/5/1283
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author Naga Srujana Goteti
Eric Hittinger
Eric Williams
author_facet Naga Srujana Goteti
Eric Hittinger
Eric Williams
author_sort Naga Srujana Goteti
collection DOAJ
description Capacity expansion models for electricity grids typically use deterministic optimization, addressing uncertainty through ex-post analysis by varying input parameters. This paper presents a stochastic capacity expansion model that integrates uncertainty directly into optimization, enabling the selection of a single strategy robust across a defined range of uncertainties. Two cost-based risk objectives are explored: “risk-neutral” minimizes expected total system cost, and “risk-averse” minimizes the most expensive 5% of the cost distribution. The model is applied to the U.S. Midwest grid, accounting for uncertainties in electricity demand, natural gas prices, and wind generation patterns. While uncertain gas prices lead to wind additions, wind variability leads to reduced adoption when explicitly accounted for. The risk-averse objective produces a more diverse generation portfolio, including six GW more solar, three GW more biomass, along with lower current fleet retirements. Stochastic objectives reduce mean system costs by 4.5% (risk-neutral) and 4.3% (risk-averse) compared to the deterministic case. Carbon emissions decrease by 1.5% under the risk-neutral objective, but increase by 3.0% under the risk-averse objective due to portfolio differences.
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spelling doaj-art-0c118ffafdb7467f8a38e2cfd1e8c74f2025-08-20T02:59:14ZengMDPI AGEnergies1996-10732025-03-01185128310.3390/en18051283Stochastic Capacity Expansion Model Accounting for Uncertainties in Fuel Prices, Renewable Generation, and DemandNaga Srujana Goteti0Eric Hittinger1Eric Williams2Electric Power Research Institute, Washington, DC 20036, USARochester Institute of Technology, Rochester, NY 14623, USARochester Institute of Technology, Rochester, NY 14623, USACapacity expansion models for electricity grids typically use deterministic optimization, addressing uncertainty through ex-post analysis by varying input parameters. This paper presents a stochastic capacity expansion model that integrates uncertainty directly into optimization, enabling the selection of a single strategy robust across a defined range of uncertainties. Two cost-based risk objectives are explored: “risk-neutral” minimizes expected total system cost, and “risk-averse” minimizes the most expensive 5% of the cost distribution. The model is applied to the U.S. Midwest grid, accounting for uncertainties in electricity demand, natural gas prices, and wind generation patterns. While uncertain gas prices lead to wind additions, wind variability leads to reduced adoption when explicitly accounted for. The risk-averse objective produces a more diverse generation portfolio, including six GW more solar, three GW more biomass, along with lower current fleet retirements. Stochastic objectives reduce mean system costs by 4.5% (risk-neutral) and 4.3% (risk-averse) compared to the deterministic case. Carbon emissions decrease by 1.5% under the risk-neutral objective, but increase by 3.0% under the risk-averse objective due to portfolio differences.https://www.mdpi.com/1996-1073/18/5/1283uncertaintyriskdemand variabilityrenewable adoptioncarbon emissionscapacity expansion
spellingShingle Naga Srujana Goteti
Eric Hittinger
Eric Williams
Stochastic Capacity Expansion Model Accounting for Uncertainties in Fuel Prices, Renewable Generation, and Demand
Energies
uncertainty
risk
demand variability
renewable adoption
carbon emissions
capacity expansion
title Stochastic Capacity Expansion Model Accounting for Uncertainties in Fuel Prices, Renewable Generation, and Demand
title_full Stochastic Capacity Expansion Model Accounting for Uncertainties in Fuel Prices, Renewable Generation, and Demand
title_fullStr Stochastic Capacity Expansion Model Accounting for Uncertainties in Fuel Prices, Renewable Generation, and Demand
title_full_unstemmed Stochastic Capacity Expansion Model Accounting for Uncertainties in Fuel Prices, Renewable Generation, and Demand
title_short Stochastic Capacity Expansion Model Accounting for Uncertainties in Fuel Prices, Renewable Generation, and Demand
title_sort stochastic capacity expansion model accounting for uncertainties in fuel prices renewable generation and demand
topic uncertainty
risk
demand variability
renewable adoption
carbon emissions
capacity expansion
url https://www.mdpi.com/1996-1073/18/5/1283
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AT erichittinger stochasticcapacityexpansionmodelaccountingforuncertaintiesinfuelpricesrenewablegenerationanddemand
AT ericwilliams stochasticcapacityexpansionmodelaccountingforuncertaintiesinfuelpricesrenewablegenerationanddemand