Distributionally Robust Optimal Scheduling of Hybrid Ship Microgrids Considering Uncertain Wind and Wave Conditions

A hybrid ship uses integrated generators, an energy storage system (ESS), and photovoltaics (PV) to match its propulsion and service loads, and together with optimal power and voyage scheduling, this can lead to a substantial improvement in ship operation cost, ensuring compliance with the environme...

Full description

Saved in:
Bibliographic Details
Main Authors: Fang Lu, Yubin Tian, Hongda Liu, Chuyuan Ling
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Journal of Marine Science and Engineering
Subjects:
Online Access:https://www.mdpi.com/2077-1312/12/11/2087
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1846153287044169728
author Fang Lu
Yubin Tian
Hongda Liu
Chuyuan Ling
author_facet Fang Lu
Yubin Tian
Hongda Liu
Chuyuan Ling
author_sort Fang Lu
collection DOAJ
description A hybrid ship uses integrated generators, an energy storage system (ESS), and photovoltaics (PV) to match its propulsion and service loads, and together with optimal power and voyage scheduling, this can lead to a substantial improvement in ship operation cost, ensuring compliance with the environmental constraints and enhancing ship sustainability. During the operation, significant uncertainties such as waves, wind, and PV result in considerable speed loss, which may lead to voyage delays and operation cost increases. To address this issue, a distributionally robust optimization (DRO) model is proposed to schedule power generation and voyage. The problem is decoupled into a bi-level optimization model, the slave level can be solved directly by commercial solvers, the master level is further formulated as a two-stage DRO model, and linear decision rules and column and constraint generation algorithms are adopted to solve the model. The algorithm aims at minimizing the operation cost, limiting greenhouse gas (GHG) emissions, and satisfying the technical and operational constraints considering the uncertainty. Extensive simulations demonstrate that the expected total cost under the worst-case distribution is minimized, and compared with the conventional robust optimization methods, some distribution information can be incorporated into the ambiguity sets to generate fewer conservative results. This method can fully ensure the on-time arrival of hybrid ships in various uncertain scenarios while achieving expected operation cost minimization and limiting greenhouse gas (GHG) emissions.
format Article
id doaj-art-6c65ddcdfb4e42c4b465708580ebc5f3
institution Kabale University
issn 2077-1312
language English
publishDate 2024-11-01
publisher MDPI AG
record_format Article
series Journal of Marine Science and Engineering
spelling doaj-art-6c65ddcdfb4e42c4b465708580ebc5f32024-11-26T18:08:34ZengMDPI AGJournal of Marine Science and Engineering2077-13122024-11-011211208710.3390/jmse12112087Distributionally Robust Optimal Scheduling of Hybrid Ship Microgrids Considering Uncertain Wind and Wave ConditionsFang Lu0Yubin Tian1Hongda Liu2Chuyuan Ling3College of Intelligent System Science and Engineering, Harbin Engineering University, Harbin 150001, ChinaXi’an Aerospace Precision Electromechanical Research Institute, Xi’an 710118, ChinaYantai Research Institute, Harbin Engineering University, Yantai 264000, ChinaCollege of Intelligent System Science and Engineering, Harbin Engineering University, Harbin 150001, ChinaA hybrid ship uses integrated generators, an energy storage system (ESS), and photovoltaics (PV) to match its propulsion and service loads, and together with optimal power and voyage scheduling, this can lead to a substantial improvement in ship operation cost, ensuring compliance with the environmental constraints and enhancing ship sustainability. During the operation, significant uncertainties such as waves, wind, and PV result in considerable speed loss, which may lead to voyage delays and operation cost increases. To address this issue, a distributionally robust optimization (DRO) model is proposed to schedule power generation and voyage. The problem is decoupled into a bi-level optimization model, the slave level can be solved directly by commercial solvers, the master level is further formulated as a two-stage DRO model, and linear decision rules and column and constraint generation algorithms are adopted to solve the model. The algorithm aims at minimizing the operation cost, limiting greenhouse gas (GHG) emissions, and satisfying the technical and operational constraints considering the uncertainty. Extensive simulations demonstrate that the expected total cost under the worst-case distribution is minimized, and compared with the conventional robust optimization methods, some distribution information can be incorporated into the ambiguity sets to generate fewer conservative results. This method can fully ensure the on-time arrival of hybrid ships in various uncertain scenarios while achieving expected operation cost minimization and limiting greenhouse gas (GHG) emissions.https://www.mdpi.com/2077-1312/12/11/2087hybrid shipdistributionally robust optimizationuncertain wind and wave conditionsGHGenergy management
spellingShingle Fang Lu
Yubin Tian
Hongda Liu
Chuyuan Ling
Distributionally Robust Optimal Scheduling of Hybrid Ship Microgrids Considering Uncertain Wind and Wave Conditions
Journal of Marine Science and Engineering
hybrid ship
distributionally robust optimization
uncertain wind and wave conditions
GHG
energy management
title Distributionally Robust Optimal Scheduling of Hybrid Ship Microgrids Considering Uncertain Wind and Wave Conditions
title_full Distributionally Robust Optimal Scheduling of Hybrid Ship Microgrids Considering Uncertain Wind and Wave Conditions
title_fullStr Distributionally Robust Optimal Scheduling of Hybrid Ship Microgrids Considering Uncertain Wind and Wave Conditions
title_full_unstemmed Distributionally Robust Optimal Scheduling of Hybrid Ship Microgrids Considering Uncertain Wind and Wave Conditions
title_short Distributionally Robust Optimal Scheduling of Hybrid Ship Microgrids Considering Uncertain Wind and Wave Conditions
title_sort distributionally robust optimal scheduling of hybrid ship microgrids considering uncertain wind and wave conditions
topic hybrid ship
distributionally robust optimization
uncertain wind and wave conditions
GHG
energy management
url https://www.mdpi.com/2077-1312/12/11/2087
work_keys_str_mv AT fanglu distributionallyrobustoptimalschedulingofhybridshipmicrogridsconsideringuncertainwindandwaveconditions
AT yubintian distributionallyrobustoptimalschedulingofhybridshipmicrogridsconsideringuncertainwindandwaveconditions
AT hongdaliu distributionallyrobustoptimalschedulingofhybridshipmicrogridsconsideringuncertainwindandwaveconditions
AT chuyuanling distributionallyrobustoptimalschedulingofhybridshipmicrogridsconsideringuncertainwindandwaveconditions