Distributionally Robust Multi-Energy Dynamic Optimal Power Flow Considering Water Spillage with Wasserstein Metric
This paper proposes a distributed robust multi-energy dynamic optimal power flow (DR-DOPF) model to overcome the uncertainty of new energy outputs and to reduce water spillage in hydropower plants. The proposed model uses an ambiguity set based on the Wasserstein metric to address the uncertainty of...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-05-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/15/11/3886 |
| _version_ | 1827665238340665344 |
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| author | Gengli Song Hua Wei |
| author_facet | Gengli Song Hua Wei |
| author_sort | Gengli Song |
| collection | DOAJ |
| description | This paper proposes a distributed robust multi-energy dynamic optimal power flow (DR-DOPF) model to overcome the uncertainty of new energy outputs and to reduce water spillage in hydropower plants. The proposed model uses an ambiguity set based on the Wasserstein metric to address the uncertainty of wind and solar power forecasting errors, rendering the model data-driven. With increasing sample size, the conservativeness of the ambiguity set was found to decrease. By deducing the worst-case expectation in the objective function and the distributed robust chance constraints, the exact equivalent form of the worst-case expectation and approximate equivalent form of the distributed robust chance constraints were obtained. The test results of the IEEE-118 and IEEE-300 node systems indicate that the proposed model could reduce water spillage by more than 85% and comprehensive operation cost by approximately 12%. With an increasing number of samples, the model could reduce conservativeness on the premise of satisfying the reliability of safety constraints. |
| first_indexed | 2024-03-10T01:22:37Z |
| format | Article |
| id | doaj.art-1680db6d6f1e4afda3daff0ae22fbfdd |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-10T01:22:37Z |
| publishDate | 2022-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-1680db6d6f1e4afda3daff0ae22fbfdd2023-11-23T13:56:48ZengMDPI AGEnergies1996-10732022-05-011511388610.3390/en15113886Distributionally Robust Multi-Energy Dynamic Optimal Power Flow Considering Water Spillage with Wasserstein MetricGengli Song0Hua Wei1School of Electrical Engineering, Guangxi University, Nanning 530004, ChinaSchool of Electrical Engineering, Guangxi University, Nanning 530004, ChinaThis paper proposes a distributed robust multi-energy dynamic optimal power flow (DR-DOPF) model to overcome the uncertainty of new energy outputs and to reduce water spillage in hydropower plants. The proposed model uses an ambiguity set based on the Wasserstein metric to address the uncertainty of wind and solar power forecasting errors, rendering the model data-driven. With increasing sample size, the conservativeness of the ambiguity set was found to decrease. By deducing the worst-case expectation in the objective function and the distributed robust chance constraints, the exact equivalent form of the worst-case expectation and approximate equivalent form of the distributed robust chance constraints were obtained. The test results of the IEEE-118 and IEEE-300 node systems indicate that the proposed model could reduce water spillage by more than 85% and comprehensive operation cost by approximately 12%. With an increasing number of samples, the model could reduce conservativeness on the premise of satisfying the reliability of safety constraints.https://www.mdpi.com/1996-1073/15/11/3886multi-energy systemwater spillagedistributed robust optimizationWassersteindynamic optimal power flow |
| spellingShingle | Gengli Song Hua Wei Distributionally Robust Multi-Energy Dynamic Optimal Power Flow Considering Water Spillage with Wasserstein Metric Energies multi-energy system water spillage distributed robust optimization Wasserstein dynamic optimal power flow |
| title | Distributionally Robust Multi-Energy Dynamic Optimal Power Flow Considering Water Spillage with Wasserstein Metric |
| title_full | Distributionally Robust Multi-Energy Dynamic Optimal Power Flow Considering Water Spillage with Wasserstein Metric |
| title_fullStr | Distributionally Robust Multi-Energy Dynamic Optimal Power Flow Considering Water Spillage with Wasserstein Metric |
| title_full_unstemmed | Distributionally Robust Multi-Energy Dynamic Optimal Power Flow Considering Water Spillage with Wasserstein Metric |
| title_short | Distributionally Robust Multi-Energy Dynamic Optimal Power Flow Considering Water Spillage with Wasserstein Metric |
| title_sort | distributionally robust multi energy dynamic optimal power flow considering water spillage with wasserstein metric |
| topic | multi-energy system water spillage distributed robust optimization Wasserstein dynamic optimal power flow |
| url | https://www.mdpi.com/1996-1073/15/11/3886 |
| work_keys_str_mv | AT genglisong distributionallyrobustmultienergydynamicoptimalpowerflowconsideringwaterspillagewithwassersteinmetric AT huawei distributionallyrobustmultienergydynamicoptimalpowerflowconsideringwaterspillagewithwassersteinmetric |