Multi-Attribute Partitioning of Power Networks Based on Electrical Distance

Cotilla‐Sanchez, Eduardo; Hines, Paul; Barrows, Clayton; Blumsack, Seth; Patel, Mahendra

doi:10.1109/tpwrs.2013.2263886

Cited by 210 publications

(115 citation statements)

References 39 publications

Supporting

Mentioning

115

Contrasting

Order By: Relevance

“…On the other hand, if the solution is not binary (e.g., x i,h gets a value between 0 and 1) then additional nodes are assigned into individual islands based on the electrical distance concept. The electrical distance which corresponds to the Thevenin equivalent between the bus i and bus j is calculated as [16]:…”

Section: Recursive Linearization Proceduresmentioning

confidence: 99%

“…The electrical distance metric is used in order to minimize the effect of the extra constraints to the islanding solution, as well as to ensure the electrical cohesiveness between the extra nodes and the nodes in the formed groups. The formation of islands with low electrical distance between their elements and high electrical distance between the elements of different islands indicates high electrical cohesiveness inside the islands, while there are evidence suggesting the reduction of loop flows (transaction leakages) between different islands [16]. The threshold is calculated asr = σ(R) K × I, where R is a matrix including all the r i,j , i, j ∈ V values, σ(R) is the standard deviation of all elements in matrix R, K is the number of resulting islands and I is a counter indicating the number of times that the recursive procedure is executed.…”

Section: Recursive Linearization Proceduresmentioning

confidence: 99%

See 1 more Smart Citation

Controlled Islanding Solution for Large-Scale Power Systems

Kyriacou

Demetriou

Panayiotou

et al. 2018

IEEE Trans. Power Syst.

View full text Add to dashboard Cite

Abstract-Intentional Controlled Islanding (ICI) has been proposed as a corrective measure of last resort to split the power system into several sustainable islands and prevent cascading outages. This paper proposes a novel ICI algorithm based on a Linear Programming (LP) formulation that directly determines an islanding solution with minimal power-flow disruption for any given number of islands, while ensuring that each island contains only coherent generators. In addition, the proposed algorithm enables operators to constrain any transmission line to be excluded from the solution, allows the control of the size of islands and ensures their connectivity. The basis of the proposed LP formulation is an exact Mixed Integer Linear Programming (MILP) Formulation. A Search Space Reduction (SSR) procedure that generates additional constraints for reducing the search space of the MILP is also proposed. In most cases, these additional constraints are enough for the relaxed MILP formulation (LP formulation) to generate optimal solutions. Nonetheless, the proposed LP formulation is executed as a part of a recursive linearization procedure which ensures that optimal solutions are always obtained. Multiple simulation results demonstrate the ability of the proposed LP ICI algorithm to meet the requirement of real-time controlled islanding in large-scale power systems.

show abstract

Section: Recursive Linearization Proceduresmentioning

confidence: 99%

Section: Recursive Linearization Proceduresmentioning

confidence: 99%

Controlled Islanding Solution for Large-Scale Power Systems

Kyriacou

Demetriou

Panayiotou

et al. 2018

IEEE Trans. Power Syst.

View full text Add to dashboard Cite

show abstract

“…Of course this does not necessarily mean that this is the optimal way to partition the system, and other methods, e.g. spectral clustering variants [30] or based on fuzzy or evolutionary algorithms [31,32], could have been used instead. Identifying an optimal partitioning would require appropriately linking the characteristics of currently available partitioning methods with those of the distributed optimization algorithm, and suitably extending and investigating their performance.…”

Section: Network Partitioningmentioning

confidence: 99%

Investigation of Maximum Possible OPF Problem Decomposition Degree for Decentralized Energy Markets

Loukarakis

Białek

Dent

2015

IEEE Trans. Power Syst.

View full text Add to dashboard Cite

. (2015) 'Investigation of maximum possible OPF problem decomposition degree for decentralized energy markets.', IEEE transactions on power systems., 30 (5). pp. 2566-2578.Further information on publisher's website: Publisher's copyright statement: c 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. Additional information:Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. ). A thorough investigation of its convergence properties is conducted, and through its coordination with an additional proximal based decomposition method we improve its scalability characteristics.

show abstract

“…This fact is not properly revealed by purely topologic centrality metrics, nor is A this perspective emphasised in traditional electrical engineering approaches. Drawing on similar insights, [34] used cognate concepts of electrical proximity to divide a power system into meaningful network zones; [35] used spectral clustering and embedding techniques to partition and visualise power systems; [36] defined an electrically meaningful centrality metric to identify critical components; [37] used an impedance-based graph metric to assess a power system's robustness to cascading failure. The novel techniques given in the present work permit a deeper understanding of the power grid's role as an interconnected electromechanical system of systems.…”

Section: Have Been Presented"mentioning

confidence: 99%

“…The authors of [33,34] point out that the inverse of this matrix can also be manipulated to find Klein resistance distances [55]. Four matrices can be extracted from the Jacobian:…”

Section: ) Jacobian Distancesmentioning

confidence: 99%