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Title: Optimal Allocation of Dynamic Var Sources Using the Voronoi Diagram Method Integrating Linear Programing

Abstract

Dynamic reactive power (var) sources can effectively mitigate fault-induced delayed voltage recovery (FIDVR) issues. This paper optimizes the sizes of dynamic var sources at given locations against FIDVR issues under severe contingencies. First, the geometric characteristics about the non-convex solution space of this problem are studied. Accordingly, a Voronoi diagram approach integrating linear programming (LP) is proposed, which disperses a number of sample points of potential solutions in the searching space to construct a Voronoi diagram blending the local cost functions over the entire space by Barycentric interpolation in Voronoi regions. New sample points are then recursively added, including the tentative optimal point using LP, the most depopulated area point ensuring global fidelity, and the connecting point, until the stopping criterion is met. The new approach is demonstrated in detail on the WSCC 9-bus system. A case study on the NPCC 140-bus system also validates that the proposed approach can effectively estimate the boundary and the geometry of the feasible solution region in the searching space and find the optimal solution.

Authors:
; ORCiD logo; ORCiD logo;
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1466389
DOE Contract Number:  
AC02-06CH11357
Resource Type:
Journal Article
Journal Name:
IEEE Transactions on Power Systems
Additional Journal Information:
Journal Volume: 32; Journal Issue: 6; Journal ID: ISSN 0885-8950
Publisher:
IEEE
Country of Publication:
United States
Language:
English
Subject:
FIDVR; Voronoi diagram; barycentric interpolation; dynamic var support; fault-induced delayed voltage recovery; linear programming; nonlinear optimization

Citation Formats

Huang, Weihong, Sun, Kai, Qi, Junjian, and Ning, Jiaxin. Optimal Allocation of Dynamic Var Sources Using the Voronoi Diagram Method Integrating Linear Programing. United States: N. p., 2017. Web. doi:10.1109/tpwrs.2017.2681459.
Huang, Weihong, Sun, Kai, Qi, Junjian, & Ning, Jiaxin. Optimal Allocation of Dynamic Var Sources Using the Voronoi Diagram Method Integrating Linear Programing. United States. doi:10.1109/tpwrs.2017.2681459.
Huang, Weihong, Sun, Kai, Qi, Junjian, and Ning, Jiaxin. Wed . "Optimal Allocation of Dynamic Var Sources Using the Voronoi Diagram Method Integrating Linear Programing". United States. doi:10.1109/tpwrs.2017.2681459.
@article{osti_1466389,
title = {Optimal Allocation of Dynamic Var Sources Using the Voronoi Diagram Method Integrating Linear Programing},
author = {Huang, Weihong and Sun, Kai and Qi, Junjian and Ning, Jiaxin},
abstractNote = {Dynamic reactive power (var) sources can effectively mitigate fault-induced delayed voltage recovery (FIDVR) issues. This paper optimizes the sizes of dynamic var sources at given locations against FIDVR issues under severe contingencies. First, the geometric characteristics about the non-convex solution space of this problem are studied. Accordingly, a Voronoi diagram approach integrating linear programming (LP) is proposed, which disperses a number of sample points of potential solutions in the searching space to construct a Voronoi diagram blending the local cost functions over the entire space by Barycentric interpolation in Voronoi regions. New sample points are then recursively added, including the tentative optimal point using LP, the most depopulated area point ensuring global fidelity, and the connecting point, until the stopping criterion is met. The new approach is demonstrated in detail on the WSCC 9-bus system. A case study on the NPCC 140-bus system also validates that the proposed approach can effectively estimate the boundary and the geometry of the feasible solution region in the searching space and find the optimal solution.},
doi = {10.1109/tpwrs.2017.2681459},
journal = {IEEE Transactions on Power Systems},
issn = {0885-8950},
number = 6,
volume = 32,
place = {United States},
year = {2017},
month = {11}
}