NDLI: Interval Power Flow Analysis Using Linear Relaxation and Optimality-Based Bounds Tightening (OBBT) Methods

Content Provider	IEEE Xplore Digital Library
Author	Tao Ding Rui Bo Fangxing Li Qinglai Guo Hongbin Sun Wei Gu Gan Zhou
Copyright Year	1969
Abstract	With increasingly large scale of intermittent and non-dispatchable resources being integrated into power systems, the power flow problem presents greater uncertainty. In order to obtain the upper and lower bounds of power flow solutions including voltage magnitudes, voltage angles and line flows, Cartesian coordinates-based power flow is utilized in this paper. A quadratically constrained quadratic programming (QCQP) model is then established to formulate the interval power flow problem. This non-convex QCQP model is relaxed to linear programming problem by introducing convex and concave enclosures of the original feasible region. To improve the solutions bounds while still encompassing the true interval solution, optimality-based bounds tightening (OBBT) method is employed to find a better outer hull of the feasible region. Numerical results on IEEE 9-bus, 30-bus, 57-bus, and 118-bus test systems validate the effectiveness of the proposed method.
Sponsorship	IEEE Power Engineering Society
Starting Page	177
Ending Page	188
Page Count	12
File Size	3466500
File Format	PDF
ISSN	08858950
Volume Number	30
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Mathematical model Vectors Sparse matrices Uncertainty Linear programming Reactive power Equations uncertainty Convex/concave envelopes interval power flow linear relaxation optimality-based bounds tightening (OBBT) quadratically constrained quadratic programming (QCQP)
Content Type	Text
Resource Type	Article
Subject	Energy Engineering and Power Technology Electrical and Electronic Engineering

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Interval Power Flow Analysis Using Linear Relaxation and Optimality-Based Bounds Tightening (OBBT) Methods

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