Distributed Optimal Control of DC Network Using Convex Relaxation Techniques
This paper proposes a novel distributed control strategy for DC microgrids using a convex relaxation method to ensure the system operates at the optimal power flow solution. Initially, a suitable convex relaxation technique is applied to transform the non-convex optimal power flow problem into a con...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-12-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/17/24/6431 |
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| author | Yongbo Fu Min Shi Gongming Li Zhangjie Liu Juntao Li Pengzhou Jia Haiqun Yue Xiaqing Liu Xin Zhao Meng Wang |
| author_facet | Yongbo Fu Min Shi Gongming Li Zhangjie Liu Juntao Li Pengzhou Jia Haiqun Yue Xiaqing Liu Xin Zhao Meng Wang |
| author_sort | Yongbo Fu |
| collection | DOAJ |
| description | This paper proposes a novel distributed control strategy for DC microgrids using a convex relaxation method to ensure the system operates at the optimal power flow solution. Initially, a suitable convex relaxation technique is applied to transform the non-convex optimal power flow problem into a convex form, with the accuracy of this method being rigorously demonstrated. Next, the Karush–Kuhn–Tucker (KKT) optimality conditions of the relaxed problem are equivalently transformed, and a synchronization term is derived to facilitate the distributed control, thereby ensuring operation under optimal power flow. This paper also analyzes the impacts of communication delay and network structure on the performance of the proposed control strategy. Finally, simulations and numerical experiments are presented to validate the effectiveness of the proposed method. |
| format | Article |
| id | doaj-art-41f9212de5dd4a4cbea58c259aa62984 |
| institution | DOAJ |
| issn | 1996-1073 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj-art-41f9212de5dd4a4cbea58c259aa629842025-08-20T02:53:41ZengMDPI AGEnergies1996-10732024-12-011724643110.3390/en17246431Distributed Optimal Control of DC Network Using Convex Relaxation TechniquesYongbo Fu0Min Shi1Gongming Li2Zhangjie Liu3Juntao Li4Pengzhou Jia5Haiqun Yue6Xiaqing Liu7Xin Zhao8Meng Wang9State Grid Handan Electric Power Co., Ltd., Handan 056011, ChinaState Grid Hebei Electric Power Co., Ltd., Shijiazhuang 050022, ChinaState Grid Handan Electric Power Co., Ltd., Handan 056011, ChinaNARI Technology Nanjing Control Systems Co., Ltd., Nanjing 211106, ChinaState Grid Handan Electric Power Co., Ltd., Handan 056011, ChinaState Grid Handan Electric Power Co., Ltd., Handan 056011, ChinaState Grid Handan Electric Power Co., Ltd., Handan 056011, ChinaState Grid Handan Electric Power Co., Ltd., Handan 056011, ChinaState Grid Hebei Electric Power Co., Ltd., Shijiazhuang 050022, ChinaNARI Technology Nanjing Control Systems Co., Ltd., Nanjing 211106, ChinaThis paper proposes a novel distributed control strategy for DC microgrids using a convex relaxation method to ensure the system operates at the optimal power flow solution. Initially, a suitable convex relaxation technique is applied to transform the non-convex optimal power flow problem into a convex form, with the accuracy of this method being rigorously demonstrated. Next, the Karush–Kuhn–Tucker (KKT) optimality conditions of the relaxed problem are equivalently transformed, and a synchronization term is derived to facilitate the distributed control, thereby ensuring operation under optimal power flow. This paper also analyzes the impacts of communication delay and network structure on the performance of the proposed control strategy. Finally, simulations and numerical experiments are presented to validate the effectiveness of the proposed method.https://www.mdpi.com/1996-1073/17/24/6431DC microgriddistributed controloptimizationconvex relaxationsecond-order cone programmingstability |
| spellingShingle | Yongbo Fu Min Shi Gongming Li Zhangjie Liu Juntao Li Pengzhou Jia Haiqun Yue Xiaqing Liu Xin Zhao Meng Wang Distributed Optimal Control of DC Network Using Convex Relaxation Techniques Energies DC microgrid distributed control optimization convex relaxation second-order cone programming stability |
| title | Distributed Optimal Control of DC Network Using Convex Relaxation Techniques |
| title_full | Distributed Optimal Control of DC Network Using Convex Relaxation Techniques |
| title_fullStr | Distributed Optimal Control of DC Network Using Convex Relaxation Techniques |
| title_full_unstemmed | Distributed Optimal Control of DC Network Using Convex Relaxation Techniques |
| title_short | Distributed Optimal Control of DC Network Using Convex Relaxation Techniques |
| title_sort | distributed optimal control of dc network using convex relaxation techniques |
| topic | DC microgrid distributed control optimization convex relaxation second-order cone programming stability |
| url | https://www.mdpi.com/1996-1073/17/24/6431 |
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