2015
DOI: 10.1186/s13634-015-0226-x
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A distributed approach to the OPF problem

Abstract: This paper presents a distributed approach to optimal power flow (OPF) in an electrical network, suitable for application in a future smart grid scenario where access to resource and control is decentralized. The non-convex OPF problem is solved by an augmented Lagrangian method, similar to the widely known ADMM algorithm, with the key distinction that penalty parameters are constantly increased. A (weak) assumption on local solver reliability is required to always ensure convergence. A certificate of converge… Show more

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Cited by 43 publications
(54 citation statements)
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“…Many works using ADMM for OPF do not consider line limits [14,15] as they add additional nonlinear inequality constraints to the problems. The recently published work [17] is one of the few that explicitly considers line limits.…”
Section: A 5-bus System With Line Limitsmentioning
confidence: 99%
See 1 more Smart Citation
“…Many works using ADMM for OPF do not consider line limits [14,15] as they add additional nonlinear inequality constraints to the problems. The recently published work [17] is one of the few that explicitly considers line limits.…”
Section: A 5-bus System With Line Limitsmentioning
confidence: 99%
“…C. 118-bus and 300-bus ALADIN vs. ADMM For the IEEE 118-bus and 300-bus test cases, we compare ALADIN with exact Hessians to ADMM results documented in the literature [14,15] supposing the authors thereof chose the parameters and their update rules optimally to facilitate fast convergence. We also adopt the grid partitioning from [14] for the 118-bus case.…”
Section: B 30-bus and 57-bus With Inexact Hessiansmentioning
confidence: 99%
“…Early works employ the Auxiliary Problem Principle [56,59], the Predictor Corrector Proximal Multiplier Method [58] and more recently the very popular Alternating Direction of Multipliers Method (admm) [34,58]. Especially admm has gained significant attention; thereby performing exhaustive simulation-based convergence analysis [34], investigating parameter update rules [35], and finally analyzing applicability to largescale systems [46]. However, for all the aforementioned algorithms convergence can, in general, not be guaranteed due to non-convexity.…”
Section: Brief Overview Of Existing Approachesmentioning
confidence: 99%
“…We remark that coupling via phases, voltages and power is just one possible problem formulation. For example in[35,46] the coupling is enforced via voltage consensus for auxiliary nodes and their next neighbors in the interior of each region.…”
mentioning
confidence: 99%
“…In particular, a simple technique, which exploits the particular formulation of the branch current estimators, is proposed. Paper [12] presents a distributed approach to optimal power flow in an electrical network, suitable for application in a future smart grid scenario where access to resource and control is decentralized.…”
mentioning
confidence: 99%