Data-Driven Two-Stage Distributionally Robust Dispatch of Multi-Energy Microgrid

Fuente: arXiv
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Autori principali: Sun, Xunhang, Cao, Xiaoyu, Zeng, Bo, Li, Miaomiao, Guan, Xiaohong, Başar, Tamer
Natura: Preprint
Pubblicazione: 2025
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author Sun, Xunhang
Cao, Xiaoyu
Zeng, Bo
Li, Miaomiao
Guan, Xiaohong
Başar, Tamer
author_facet Sun, Xunhang
Cao, Xiaoyu
Zeng, Bo
Li, Miaomiao
Guan, Xiaohong
Başar, Tamer
contents This paper studies adaptive distributionally robust dispatch (DRD) of the multi-energy microgrid under supply and demand uncertainties. A Wasserstein ambiguity set is constructed to support data-driven decision-making. By fully leveraging the special structure of worst-case expectation from the primal perspective, a novel and high-efficient decomposition algorithm under the framework of column-and-constraint generation is customized and developed to address the computational burden. Numerical studies demonstrate the effectiveness of our DRD approach, and shed light on the interrelationship of it with the traditional dispatch approaches through stochastic programming and robust optimization schemes. Also, comparisons with popular algorithms in the literature for two-stage distributionally robust optimization verify the powerful capacity of our algorithm in computing the DRD problem.
format Preprint
id arxiv_https___arxiv_org_abs_2504_09638
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Data-Driven Two-Stage Distributionally Robust Dispatch of Multi-Energy Microgrid
Sun, Xunhang
Cao, Xiaoyu
Zeng, Bo
Li, Miaomiao
Guan, Xiaohong
Başar, Tamer
Optimization and Control
Systems and Control
This paper studies adaptive distributionally robust dispatch (DRD) of the multi-energy microgrid under supply and demand uncertainties. A Wasserstein ambiguity set is constructed to support data-driven decision-making. By fully leveraging the special structure of worst-case expectation from the primal perspective, a novel and high-efficient decomposition algorithm under the framework of column-and-constraint generation is customized and developed to address the computational burden. Numerical studies demonstrate the effectiveness of our DRD approach, and shed light on the interrelationship of it with the traditional dispatch approaches through stochastic programming and robust optimization schemes. Also, comparisons with popular algorithms in the literature for two-stage distributionally robust optimization verify the powerful capacity of our algorithm in computing the DRD problem.
title Data-Driven Two-Stage Distributionally Robust Dispatch of Multi-Energy Microgrid
topic Optimization and Control
Systems and Control
url https://arxiv.org/abs/2504.09638