Journal ArticleDOI
Interval Power Flow Analysis Using Linear Relaxation and Optimality-Based Bounds Tightening (OBBT) Methods
TLDR
In this article, a quadratically constrained quadratic programming (QCQP) model is established to formulate the interval power flow problem and optimality-based bounds tightening (OBBT) method is employed to find a better outer hull of the feasible region.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.read more
Citations
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Journal ArticleDOI
An interval gas flow analysis in natural gas and electricity coupled networks considering the uncertainty of wind power
TL;DR: In this paper, the impact of the active power output uncertainty of wind farms was studied, and the interval flow of the natural gas system was analyzed by two proposed methods, and case studies demonstrated the effectiveness of the proposed method and led to the conclusion that wind power has a significant impact on the steadystate operation of natural gas systems.
Journal ArticleDOI
Reducing Generation Uncertainty by Integrating CSP With Wind Power: An Adaptive Robust Optimization-Based Analysis
TL;DR: In this paper, an adaptive robust optimization (RO) problem was formulated to find the narrowest but robust bounds of the joint power output with a given uncertainty of the wind power output and solar power availability.
Journal ArticleDOI
Three-phase AC/DC power-flow for balanced/unbalanced microgrids including wind/solar, droop-controlled and electronically-coupled distributed energy resources using radial basis function neural networks
TL;DR: In this paper, a novel approach for robust, balanced and unbalanced power-flow analysis of micro-grids including wind/solar, droop-controlled and electronically-coupled distributed energy resources is presented.
Journal ArticleDOI
Stochastic Day-Ahead Scheduling of Integrated Energy Distribution Network With Identifying Redundant Gas Network Constraints
TL;DR: A sufficient condition for identifying redundant gas network constraints is proposed and a bounds tightening strategy that combines Weymouth equation relaxation and an optimality-based bounds tightening method to mitigate the conservatism of the proposed sufficient condition is developed.
Journal ArticleDOI
Reactive Power Optimization Under Interval Uncertainty by the Linear Approximation Method and Its Modified Method
TL;DR: The linear approximation method is formulated using the interval Taylor extension to help solve reactive power optimization problem and the affine arithmetic-based power flow calculation is used to solve the interval power flow equation instead of crude computation based on the interval arithmetic.
References
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Adaptive Robust Optimization for the Security Constrained Unit Commitment Problem
TL;DR: In this paper, a two-stage adaptive robust unit commitment model for the security constrained unit commitment problem in the presence of nodal net injection uncertainty is proposed, which only requires a deterministic uncertainty set, rather than a hard-to-obtain probability distribution on the uncertain data.
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Robust Unit Commitment With Wind Power and Pumped Storage Hydro
TL;DR: In this paper, the authors proposed a robust optimization approach to accommodate wind output uncertainty, with the objective of providing a robust unit commitment schedule for the thermal generators in the day-ahead market that minimizes the total cost under the worst wind power output scenario.
Journal ArticleDOI
Probabilistic load flow computation using the method of combined cumulants and Gram-Charlier expansion
Pei Zhang,S.T. Lee +1 more
TL;DR: In this paper, a probabilistic load flow analysis of transmission line flows is proposed for the purpose of using it as a quick screening tool to determine the major investment on improving transmission system inadequacy.
Journal ArticleDOI
Point Estimate Schemes to Solve the Probabilistic Power Flow
J.M. Morales,Juan Perez-Ruiz +1 more
TL;DR: In this article, four different Hong's point estimate schemes are presented and tested on the probabilistic power flow problem and compared against those obtained from the Monte Carlo simulation, showing that the use of the scheme provides the best performance when a high number of random variables, both continuous and discrete, are considered.
Journal ArticleDOI
Adjustable Robust OPF With Renewable Energy Sources
TL;DR: In this paper, an adjustable robust optimization approach to account for the uncertainty of renewable energy sources (RESs) in optimal power flow (OPF) is presented, where the base-point generation is calculated to serve the forecast load which is not balanced by RESs, and the generation control through participation factors ensures a feasible solution for all realizations of RES output within a prescribed uncertainty set.