A Fully Distributed Reactive Power Optimization and Control Method for Active Distribution Networks

By Weiye Zheng, Wenchuan Wu, Boming Zhang, Hongbin Sun, Yibing Liu. IEEE Transactions on Smart Grid, 2014

346 citations recorded by the source corpus.

This paper presents a fully distributed reactive power optimization algorithm that can obtain the global optimum solution of nonconvex problems for distribution networks (DNs) without requiring a central coordinator. Second-order conic relaxation is used to achieve exact convexification. A fully distributed second-order cone programming solver (D-SOCP) is formulated corresponding to the given division of areas based on the alternating direction method of multipliers (ADMM) algorithm, which is greatly simplified by exploiting the structure of active DNs. The problem is solved for each area with very little interchange of boundary information between neighboring areas. D-SOCP is extended by using a varying penalty parameter to improve convergence. A proof of its convergence is also given. The effectiveness of the method is demonstrated via numerical simulations using the IEEE 69-bus, 123-bus DNs, and a real 1066-bus distribution system.

Subfields: Control and Systems Engineering, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/9e198407e5aae75880f04b966a0ed0fcca0b215a

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Citations in the corpus

A Survey of Distributed Optimization and Control Algorithms for Electric Power Systems (2017, methodology): “See [51], [54], [55], [112] for additional discussion and quantitative comparisons among some of Fig.”
A survey of distributed optimization (2019, background): “…these problems, Lam, Zhang, and Tse (2012) ; Low (2014) and Madani, Sojoudi, and Lavaei (2015) for the semideﬁnite program (SDP) relaxation of OPF, Zheng, Wu, Zhang, Sun, and Liu (2016) and Peng and Low (2018) for the second order cone program (SOCP) relaxation of OPF, and Kim and Baldick (1997)…”
Distributed and Decentralized Voltage Control of Smart Distribution Networks: Models, Methods, and Future Research (2017, methodology): “SOCP relaxation and an ADMM algorithm with tunable parameters are employed in [39] for voltage-constrained reactive power ﬂow optimization with the aim to minimize losses; however, simulations showed that voltage regulation at the substation was necessary to ensure operation within limits.”