Robust Optimization in Seasonal Planning of Hydro Power Plants

Hydro power producers are faced with the task of releasing water from the reservoirs in the right time. To do this there are tools using stochastic optimization that aims at maximizing the income of that producer. The existing methods have a high computing time and grow exponentially with the size o...

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Main Author: Risberg, Daniel
Format: Others
Language:English
Published: KTH, Optimeringslära och systemteori 2015
Subjects:
Online Access:http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-173478
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spelling ndltd-UPSALLA1-oai-DiVA.org-kth-1734782015-09-20T16:41:41ZRobust Optimization in Seasonal Planning of Hydro Power PlantsengRisberg, DanielKTH, Optimeringslära och systemteori2015Linear decision rulesHydro power planningRobust optimizationHydro power producers are faced with the task of releasing water from the reservoirs in the right time. To do this there are tools using stochastic optimization that aims at maximizing the income of that producer. The existing methods have a high computing time and grow exponentially with the size of the problem. A new approach that uses linear decision rules is investigated in this thesis to see if it is possible to maintain the same quality of the solutions and in the same time decrease run times. With this method the hydro power producer receives policies as an affine function of the realization of the uncertainty variables in inflow and price. This thesis presents a deterministic model and then converts it into an linear decision rules, LDR, model. It also presents a way to model the uncertainty in both inflow to the reservoir and the spot price. The result is that the LDR approach generates reasonable policies with low run times but loses a lot of optimality compared to solutions that are used today. Therefore it is concluded that this approach needs further development before commercial use. The work described in this thesis has been done in cooperation with three master students at NTNU. The approach of using linear decision rules are the same in the two projects but the differences are the models evaluated. Student thesisinfo:eu-repo/semantics/bachelorThesistexthttp://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-173478TRITA-MAT-E ; 2015:64application/pdfinfo:eu-repo/semantics/openAccess
collection NDLTD
language English
format Others
sources NDLTD
topic Linear decision rules
Hydro power planning
Robust optimization
spellingShingle Linear decision rules
Hydro power planning
Robust optimization
Risberg, Daniel
Robust Optimization in Seasonal Planning of Hydro Power Plants
description Hydro power producers are faced with the task of releasing water from the reservoirs in the right time. To do this there are tools using stochastic optimization that aims at maximizing the income of that producer. The existing methods have a high computing time and grow exponentially with the size of the problem. A new approach that uses linear decision rules is investigated in this thesis to see if it is possible to maintain the same quality of the solutions and in the same time decrease run times. With this method the hydro power producer receives policies as an affine function of the realization of the uncertainty variables in inflow and price. This thesis presents a deterministic model and then converts it into an linear decision rules, LDR, model. It also presents a way to model the uncertainty in both inflow to the reservoir and the spot price. The result is that the LDR approach generates reasonable policies with low run times but loses a lot of optimality compared to solutions that are used today. Therefore it is concluded that this approach needs further development before commercial use. The work described in this thesis has been done in cooperation with three master students at NTNU. The approach of using linear decision rules are the same in the two projects but the differences are the models evaluated.
author Risberg, Daniel
author_facet Risberg, Daniel
author_sort Risberg, Daniel
title Robust Optimization in Seasonal Planning of Hydro Power Plants
title_short Robust Optimization in Seasonal Planning of Hydro Power Plants
title_full Robust Optimization in Seasonal Planning of Hydro Power Plants
title_fullStr Robust Optimization in Seasonal Planning of Hydro Power Plants
title_full_unstemmed Robust Optimization in Seasonal Planning of Hydro Power Plants
title_sort robust optimization in seasonal planning of hydro power plants
publisher KTH, Optimeringslära och systemteori
publishDate 2015
url http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-173478
work_keys_str_mv AT risbergdaniel robustoptimizationinseasonalplanningofhydropowerplants
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