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Frontiers of Information Technology & Electronic Engineering
ISSN 2095-9184 (print), ISSN 2095-9230 (online)
2023 Vol.24 No.9 P.1253-1260
Distributed optimization based on improved push-sum framework for optimization problem with multiple local constraints and its application in smart grid
Abstract: In this paper, the optimization problem subject to N nonidentical closed convex set constraints is studied. The aim is to design a corresponding distributed optimization algorithm over the fixed unbalanced graph to solve the considered problem. To this end, with the push-sum framework improved, the distributed optimization algorithm is newly designed, and its strict convergence analysis is given under the assumption that the involved graph is strongly connected. Finally, simulation results support the good performance of the proposed algorithm.
Key words: Distributed optimization; Nonidentical constraints; Improved push-sum framework
1国网浙江省电力有限公司经济技术研究院，中国浙江省杭州市，310008
2北京隐山科技有限公司，中国北京市，100871
摘要：本文研究了带N个非一致闭凸集约束的分布式优化问题，目的是在固定的不平衡图上设计一个相应的分布式优化算法解决该问题。为此，在改进的push-sum框架下，本文设计了新的分布式优化算法，并在强连通图的假设下给出了其严格的收敛分析。最后，仿真结果证明了所提算法的良好性能。
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DOI:
10.1631/FITEE.2200596
CLC number:
O224
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On-line Access:
2023-06-21
Received:
2022-11-25
Revision Accepted:
2023-09-21
Crosschecked:
2023-02-02