Decision‐dependent distributionally robust integrated generation, transmission, and storage expansion planning: An enhanced Benders decomposition approach

Abstract Integrated generation, transmission, and storage expansion planning (IGT&SP) is the cornerstone to realize low‐carbon transition considering security constraints in the long run. A novel IGT&SP planning scheme is proposed to balance the planning cost, i.e. renewable energy sources (...

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Main Authors: Lu Qiu, Yangqing Dan, Xukun Li, Ye Cao
Format: Article
Language:English
Published: Wiley 2023-10-01
Series:IET Renewable Power Generation
Subjects:
Online Access:https://doi.org/10.1049/rpg2.12859
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author Lu Qiu
Yangqing Dan
Xukun Li
Ye Cao
author_facet Lu Qiu
Yangqing Dan
Xukun Li
Ye Cao
author_sort Lu Qiu
collection DOAJ
description Abstract Integrated generation, transmission, and storage expansion planning (IGT&SP) is the cornerstone to realize low‐carbon transition considering security constraints in the long run. A novel IGT&SP planning scheme is proposed to balance the planning cost, i.e. renewable energy sources (RESs) and energy storage systems, based on the distributionally ambiguity sets. A novel decision‐dependent ambiguity set is proposed to capture the relation between the uncertainties of RES output and long‐term planning. A two‐stage risk‐averse distributionally robust optimization is formulated, where the RESs, energy storage systems, and transmission line expansion are optimized in the first stage and a unit commitment problem is proposed in the second‐stage optimization to assess the performance of the expanded system. This problem is reformulated into a two‐stage optimization problem with complete mixed‐integer recourse, where the state variable is binary. A novel enhanced Benders decomposition algorithm is proposed to solve the IGT&SEP efficiently, where the cutting planes are generated by a primal‐dual relaxation of the recourse problem. Simulations are conducted on the modified IEEE‐30 test system and modified IEEE‐118 test system. Compared with adjustable robust optimization and L1‐norm Wasserstein distance‐based distributionally robust optimization, numerical results verify the effectiveness of the proposed IGT&SP, together with the solution algorithm.
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spelling doaj.art-17dc6bd6ac084270a55ea790fc3ef8692023-10-25T08:27:41ZengWileyIET Renewable Power Generation1752-14161752-14242023-10-0117143442345610.1049/rpg2.12859Decision‐dependent distributionally robust integrated generation, transmission, and storage expansion planning: An enhanced Benders decomposition approachLu Qiu0Yangqing Dan1Xukun Li2Ye Cao3Economic Research Institute of State Grid Jinhua Power Supply Company Jinhua Zhejiang ChinaEconomic Research Institute of State Grid Zhejiang Electric Power Company Hangzhou Zhejiang ChinaSchool of Electronic and Information Engineering Xi'an Jiaotong University Xi'an Shaanxi ChinaSchool of Electronic and Information Engineering Xi'an Jiaotong University Xi'an Shaanxi ChinaAbstract Integrated generation, transmission, and storage expansion planning (IGT&SP) is the cornerstone to realize low‐carbon transition considering security constraints in the long run. A novel IGT&SP planning scheme is proposed to balance the planning cost, i.e. renewable energy sources (RESs) and energy storage systems, based on the distributionally ambiguity sets. A novel decision‐dependent ambiguity set is proposed to capture the relation between the uncertainties of RES output and long‐term planning. A two‐stage risk‐averse distributionally robust optimization is formulated, where the RESs, energy storage systems, and transmission line expansion are optimized in the first stage and a unit commitment problem is proposed in the second‐stage optimization to assess the performance of the expanded system. This problem is reformulated into a two‐stage optimization problem with complete mixed‐integer recourse, where the state variable is binary. A novel enhanced Benders decomposition algorithm is proposed to solve the IGT&SEP efficiently, where the cutting planes are generated by a primal‐dual relaxation of the recourse problem. Simulations are conducted on the modified IEEE‐30 test system and modified IEEE‐118 test system. Compared with adjustable robust optimization and L1‐norm Wasserstein distance‐based distributionally robust optimization, numerical results verify the effectiveness of the proposed IGT&SP, together with the solution algorithm.https://doi.org/10.1049/rpg2.12859power system operation and planningpower system planningpower system reliabilitypower transmission planning
spellingShingle Lu Qiu
Yangqing Dan
Xukun Li
Ye Cao
Decision‐dependent distributionally robust integrated generation, transmission, and storage expansion planning: An enhanced Benders decomposition approach
IET Renewable Power Generation
power system operation and planning
power system planning
power system reliability
power transmission planning
title Decision‐dependent distributionally robust integrated generation, transmission, and storage expansion planning: An enhanced Benders decomposition approach
title_full Decision‐dependent distributionally robust integrated generation, transmission, and storage expansion planning: An enhanced Benders decomposition approach
title_fullStr Decision‐dependent distributionally robust integrated generation, transmission, and storage expansion planning: An enhanced Benders decomposition approach
title_full_unstemmed Decision‐dependent distributionally robust integrated generation, transmission, and storage expansion planning: An enhanced Benders decomposition approach
title_short Decision‐dependent distributionally robust integrated generation, transmission, and storage expansion planning: An enhanced Benders decomposition approach
title_sort decision dependent distributionally robust integrated generation transmission and storage expansion planning an enhanced benders decomposition approach
topic power system operation and planning
power system planning
power system reliability
power transmission planning
url https://doi.org/10.1049/rpg2.12859
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AT yangqingdan decisiondependentdistributionallyrobustintegratedgenerationtransmissionandstorageexpansionplanninganenhancedbendersdecompositionapproach
AT xukunli decisiondependentdistributionallyrobustintegratedgenerationtransmissionandstorageexpansionplanninganenhancedbendersdecompositionapproach
AT yecao decisiondependentdistributionallyrobustintegratedgenerationtransmissionandstorageexpansionplanninganenhancedbendersdecompositionapproach