Models and applications of stochastic programming with decision‐dependent uncertainty in power systems: A review

Abstract Stochastic programming is a competitive tool in power system uncertainty management. Traditionally, stochastic programming assumes uncertainties to be exogenous and independent of decisions. However, there are situations where statistical features of uncertain parameters are not constant bu...

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Main Authors: Wenqian Yin, Yunhe Hou
Format: Article
Language:English
Published: Wiley 2024-10-01
Series:IET Renewable Power Generation
Subjects:
Online Access:https://doi.org/10.1049/rpg2.13082
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author Wenqian Yin
Yunhe Hou
author_facet Wenqian Yin
Yunhe Hou
author_sort Wenqian Yin
collection DOAJ
description Abstract Stochastic programming is a competitive tool in power system uncertainty management. Traditionally, stochastic programming assumes uncertainties to be exogenous and independent of decisions. However, there are situations where statistical features of uncertain parameters are not constant but dependent on decisions, classifying such uncertainties as decision‐dependent uncertainty (DDU). This is particularly the case with future power systems highly penetrated by multi‐source uncertainties, where planning or operation decisions might exert unneglectable impacts on uncertainty features. This paper reviews the stochastic programming with DDU, especially those applied in the field of power systems. Mathematical properties of diversified types of DDU in stochastic programming are introduced, and a comprehensive review on sources and applications of DDU in power systems is presented. Then, focusing on a specific type of DDU, that is, decision‐dependent probability distributions, a taxonomy of available modelling techniques and solution approaches for stochastic programming with this type of DDU and different structural features are presented and discussed. Eventually, the outlook of two‐stage stochastic programming with DDU for future power system uncertainty management is explored, including both exploring the applications and developing efficient modelling and solution tools.
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spelling doaj-art-b6a06e8199cb4415810d6ff1e5226a272025-01-10T17:41:04ZengWileyIET Renewable Power Generation1752-14161752-14242024-10-0118142819283410.1049/rpg2.13082Models and applications of stochastic programming with decision‐dependent uncertainty in power systems: A reviewWenqian Yin0Yunhe Hou1Department of Electrical and Electronic Engineering The University of Hong Kong Hong Kong SAR ChinaDepartment of Electrical and Electronic Engineering The University of Hong Kong Hong Kong SAR ChinaAbstract Stochastic programming is a competitive tool in power system uncertainty management. Traditionally, stochastic programming assumes uncertainties to be exogenous and independent of decisions. However, there are situations where statistical features of uncertain parameters are not constant but dependent on decisions, classifying such uncertainties as decision‐dependent uncertainty (DDU). This is particularly the case with future power systems highly penetrated by multi‐source uncertainties, where planning or operation decisions might exert unneglectable impacts on uncertainty features. This paper reviews the stochastic programming with DDU, especially those applied in the field of power systems. Mathematical properties of diversified types of DDU in stochastic programming are introduced, and a comprehensive review on sources and applications of DDU in power systems is presented. Then, focusing on a specific type of DDU, that is, decision‐dependent probability distributions, a taxonomy of available modelling techniques and solution approaches for stochastic programming with this type of DDU and different structural features are presented and discussed. Eventually, the outlook of two‐stage stochastic programming with DDU for future power system uncertainty management is explored, including both exploring the applications and developing efficient modelling and solution tools.https://doi.org/10.1049/rpg2.13082power system operation and planningstochastic programming
spellingShingle Wenqian Yin
Yunhe Hou
Models and applications of stochastic programming with decision‐dependent uncertainty in power systems: A review
IET Renewable Power Generation
power system operation and planning
stochastic programming
title Models and applications of stochastic programming with decision‐dependent uncertainty in power systems: A review
title_full Models and applications of stochastic programming with decision‐dependent uncertainty in power systems: A review
title_fullStr Models and applications of stochastic programming with decision‐dependent uncertainty in power systems: A review
title_full_unstemmed Models and applications of stochastic programming with decision‐dependent uncertainty in power systems: A review
title_short Models and applications of stochastic programming with decision‐dependent uncertainty in power systems: A review
title_sort models and applications of stochastic programming with decision dependent uncertainty in power systems a review
topic power system operation and planning
stochastic programming
url https://doi.org/10.1049/rpg2.13082
work_keys_str_mv AT wenqianyin modelsandapplicationsofstochasticprogrammingwithdecisiondependentuncertaintyinpowersystemsareview
AT yunhehou modelsandapplicationsofstochasticprogrammingwithdecisiondependentuncertaintyinpowersystemsareview