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Toward distributed OPF using ALADIN
Publikationstyp
Journal Article
Date Issued
2018-12-19
Sprache
English
Author(s)
Volume
34
Issue
1
Start Page
584
End Page
594
Article Number
8450020
Citation
IEEE Transactions on Power Systems 34 (1): 584-594 (2019)
Publisher DOI
Scopus ID
Publisher
IEEE
This paper discusses the application of the recently proposed augmented Lagrangian alternating direction inexact Newton (aladin) method to non-convex ac optimal power flow problems (ac-opf) in a distributed fashion. In contrast to the often used alternating direction of multipliers method (admm), aladin guarantees locally quadratic convergence for ac-opf. Numerical results for 5-300 bus test cases indicate that aladin is able to outperform the admm and to reduce the number of iterations by about one order of magnitude. We compare aladin to numerical results for the admm documented in the literature. The improved convergence speed comes at the cost of increasing the communication effort per iteration. Therefore, we propose a variant of aladin that uses inexact Hessians to reduce communication. Additionally, we provide a detailed comparison of these aladin variants to the admm from an algorithmic and communication perspective. Moreover, we prove that aladin converges locally at a quadratic rate even for the relevant case of suboptimally solved local nonlinear programs.
Subjects
Alternating direction of multipliers method (ADMM)
Augmented Lagrangian alternating direction inexact Newton (ALADIN)
Distributed optimization
Optimal power flow (OPF)
DDC Class
004: Computer Sciences
510: Mathematics