Online ADMM for Distributed Optimal Power Flow via Lagrangian Duality

Song Wang, Liangyi Pu, Xiaodong Huang, Yifan Yu, Yawei Shi and Huiwei Wang
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Song Wang: Chongqing Huizhi Energy Corporation Ltd., State Power Investment Corporation (SPIC), Chongqing 401127, China
Liangyi Pu: Chongqing Huizhi Energy Corporation Ltd., State Power Investment Corporation (SPIC), Chongqing 401127, China
Xiaodong Huang: Chongqing Huizhi Energy Corporation Ltd., State Power Investment Corporation (SPIC), Chongqing 401127, China
Yifan Yu: College of Electronics and Information Engineering, Southwest University, Chongqing 400715, China
Yawei Shi: College of Electronics and Information Engineering, Southwest University, Chongqing 400715, China
Huiwei Wang: Key Laboratory of Intelligent Information Processing, Chongqing Three Gorges University, Chongqing 404100, China

Energies, 2022, vol. 15, issue 24, 1-21

Abstract: At present, the power system has the characteristics of mutual independence but interconnection, and the interconnection between the various subsystems brings certain challenges to the distributed computing of the power grid. In addition, a substantial amount of naturally uncertain renewable resources are incorporated into the power system, which will impose volatile dynamics on the grid. In this paper, an alternating direction multiplier method (ADMM) is proposed for the power system with real-time renewables to tackle the online optimal power flow (OPF) problem. Due to the adoption of the Lagrangian duality, the proposed distributed ADMM scheme utilizes consensus ADMM to solve the dual OPF problem, which only discloses boundary coupling via the Lagrangian multiplier and further reduces the amount of information communication. Given the natural uncertainty of distributed energy resources (DER), the algorithm avoids the double-loop implementation or the uncertainty of traditional distributed methods of using the boundary information as equality constraints caused by dynamic DER. It is thus capable of providing a provable performance guarantee and is inherently developed to cope with the dynamic OPF problem with renewables in an online fashion. Taking the IEEE 30-bus system as a test feeder, the simulation results verify the efficiency and robustness of the proposed algorithms in solving both the static and dynamic OPF problems; in addition, the online method can effectively avoid the violent fluctuations of the conventional generator output copying with renewables rapid variation in comparison with the offline algorithms.

Keywords: optimal power flow; alternating direction multiplier method; Lagrangian duality; online approach (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: 2022
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