Representing Hourly Energy Prices in a Large-Scale Monthly Water System Model

Water system management models represent different purposes, such as water supply, flood control, recreation, and hydropower. When building large-scale system models to represent these diverse objectives, their most appropriate time steps for each purpose often do not coincide. A monthly time step i...

Full description

Bibliographic Details
Main Authors: Mustafa Sahin Dogan, Ellie White, Yiqing Yao, Jay R. Lund
Format: Article
Language:English
Published: MDPI AG 2024-02-01
Series:Water
Subjects:
Online Access:https://www.mdpi.com/2073-4441/16/4/562
_version_ 1797296813943816192
author Mustafa Sahin Dogan
Ellie White
Yiqing Yao
Jay R. Lund
author_facet Mustafa Sahin Dogan
Ellie White
Yiqing Yao
Jay R. Lund
author_sort Mustafa Sahin Dogan
collection DOAJ
description Water system management models represent different purposes, such as water supply, flood control, recreation, and hydropower. When building large-scale system models to represent these diverse objectives, their most appropriate time steps for each purpose often do not coincide. A monthly time step is usually sufficient for water supply modeling, but it can be too coarse for flood control, hydropower, and energy operations, where hourly time steps are preferred. Large-scale water management and planning models mostly employ monthly time steps, but using monthly average energy prices underestimates hydropower revenue and overestimates pumping energy cost because these plants tend to operate during times with above- or below-average energy prices within any month. The approach developed here uses hourly varying prices depending on the percent of monthly operating hours. This paper examines an approach that approximately incorporates hourly energy price variations for hydropower and pumping into large-scale monthly time-step water system model operations without affecting water delivery results. Results from including hourly varying energy prices in a large-scale monthly water supply model of California (CALVIN) are presented. CALVIN is a hydroeconomic linear programming optimization model that allocates water to agricultural and urban users with an objective to minimize total scarcity costs, operating costs, and hydropower revenue loss. Thirteen hydropower plants are modeled with hourly varying prices, and their revenue increased by 25 to 58% compared to revenue calculated with monthly average constant energy prices. Hydropower revenue improvements are greater in critically dry years. For pumping plants modeled with hourly varying prices, the energy use cost decreased by 10 to 59%. This study improves system representation and results for large-scale modeling.
first_indexed 2024-03-07T22:10:16Z
format Article
id doaj.art-862b58a635804790a6f79f6997a37059
institution Directory Open Access Journal
issn 2073-4441
language English
last_indexed 2024-03-07T22:10:16Z
publishDate 2024-02-01
publisher MDPI AG
record_format Article
series Water
spelling doaj.art-862b58a635804790a6f79f6997a370592024-02-23T15:37:57ZengMDPI AGWater2073-44412024-02-0116456210.3390/w16040562Representing Hourly Energy Prices in a Large-Scale Monthly Water System ModelMustafa Sahin Dogan0Ellie White1Yiqing Yao2Jay R. Lund3Department of Civil Engineering, Aksaray University, Aksaray 68100, TürkiyeDepartment of Civil and Environmental Engineering, University of California, Davis, One Shields Avenue, Davis, CA 95616, USADepartment of Civil and Environmental Engineering, University of California, Davis, One Shields Avenue, Davis, CA 95616, USADepartment of Civil and Environmental Engineering, University of California, Davis, One Shields Avenue, Davis, CA 95616, USAWater system management models represent different purposes, such as water supply, flood control, recreation, and hydropower. When building large-scale system models to represent these diverse objectives, their most appropriate time steps for each purpose often do not coincide. A monthly time step is usually sufficient for water supply modeling, but it can be too coarse for flood control, hydropower, and energy operations, where hourly time steps are preferred. Large-scale water management and planning models mostly employ monthly time steps, but using monthly average energy prices underestimates hydropower revenue and overestimates pumping energy cost because these plants tend to operate during times with above- or below-average energy prices within any month. The approach developed here uses hourly varying prices depending on the percent of monthly operating hours. This paper examines an approach that approximately incorporates hourly energy price variations for hydropower and pumping into large-scale monthly time-step water system model operations without affecting water delivery results. Results from including hourly varying energy prices in a large-scale monthly water supply model of California (CALVIN) are presented. CALVIN is a hydroeconomic linear programming optimization model that allocates water to agricultural and urban users with an objective to minimize total scarcity costs, operating costs, and hydropower revenue loss. Thirteen hydropower plants are modeled with hourly varying prices, and their revenue increased by 25 to 58% compared to revenue calculated with monthly average constant energy prices. Hydropower revenue improvements are greater in critically dry years. For pumping plants modeled with hourly varying prices, the energy use cost decreased by 10 to 59%. This study improves system representation and results for large-scale modeling.https://www.mdpi.com/2073-4441/16/4/562energy priceshydropowerpumping costrevenuesystem models
spellingShingle Mustafa Sahin Dogan
Ellie White
Yiqing Yao
Jay R. Lund
Representing Hourly Energy Prices in a Large-Scale Monthly Water System Model
Water
energy prices
hydropower
pumping cost
revenue
system models
title Representing Hourly Energy Prices in a Large-Scale Monthly Water System Model
title_full Representing Hourly Energy Prices in a Large-Scale Monthly Water System Model
title_fullStr Representing Hourly Energy Prices in a Large-Scale Monthly Water System Model
title_full_unstemmed Representing Hourly Energy Prices in a Large-Scale Monthly Water System Model
title_short Representing Hourly Energy Prices in a Large-Scale Monthly Water System Model
title_sort representing hourly energy prices in a large scale monthly water system model
topic energy prices
hydropower
pumping cost
revenue
system models
url https://www.mdpi.com/2073-4441/16/4/562
work_keys_str_mv AT mustafasahindogan representinghourlyenergypricesinalargescalemonthlywatersystemmodel
AT elliewhite representinghourlyenergypricesinalargescalemonthlywatersystemmodel
AT yiqingyao representinghourlyenergypricesinalargescalemonthlywatersystemmodel
AT jayrlund representinghourlyenergypricesinalargescalemonthlywatersystemmodel