Distributed Optimal Control of DC Network Using Convex Relaxation Techniques

Yongbo Fu, Min Shi, Gongming Li, Zhangjie Liu (), Juntao Li, Pengzhou Jia, Haiqun Yue, Xiaqing Liu, Xin Zhao and Meng Wang
Additional contact information
Yongbo Fu: State Grid Handan Electric Power Co., Ltd., Handan 056011, China
Min Shi: State Grid Hebei Electric Power Co., Ltd., Shijiazhuang 050022, China
Gongming Li: State Grid Handan Electric Power Co., Ltd., Handan 056011, China
Zhangjie Liu: NARI Technology Nanjing Control Systems Co., Ltd., Nanjing 211106, China
Juntao Li: State Grid Handan Electric Power Co., Ltd., Handan 056011, China
Pengzhou Jia: State Grid Handan Electric Power Co., Ltd., Handan 056011, China
Haiqun Yue: State Grid Handan Electric Power Co., Ltd., Handan 056011, China
Xiaqing Liu: State Grid Handan Electric Power Co., Ltd., Handan 056011, China
Xin Zhao: State Grid Hebei Electric Power Co., Ltd., Shijiazhuang 050022, China
Meng Wang: NARI Technology Nanjing Control Systems Co., Ltd., Nanjing 211106, China

Energies, 2024, vol. 17, issue 24, 1-17

Abstract: 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.

Keywords: DC microgrid; distributed control; optimization; convex relaxation; second-order cone programming; stability (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2024
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