Journal ArticleDOI
Power Flow Optimization for Smart Microgrids by SDP Relaxation on Linear Networks
Tomaso Erseghe,Stefano Tomasin +1 more
TLDR
A solution to the optimization problem having a significantly reduced complexity with respect to existing techniques is provided and numerical results show the merits of the proposed approach for typical smart microgrid scenarios.Abstract:
In a smart microgrid currents injected by distributed energy resources (DERs) and by the point of common coupling can be adapted to minimize the energy cost. Design and quality constraints usually make the problem grow fast with the number of nodes in the network. In this paper we provide a solution to the optimization problem having a significantly reduced complexity with respect to existing techniques. The efficiency of the proposed solution stems by modeling the smart microgrid as a linear network where loads are approximated as impedances. This simplification allows avoiding explicit use of power flow equations, and having a number of equation proportional to the number of DERs rather than to the total number of nodes (loads and DERs). The optimal power flow problem is then solved by a semidefinite programming (SDP) relaxation, which provides the initial point for the search of a feasible solution by a sequential convex programming procedure based on a local linear approximation of non-convex constraints. Numerical results show the merits of the proposed approach for typical smart microgrid scenarios.read more
Citations
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Journal ArticleDOI
Zero Duality Gap in Optimal Power Flow Problem
Javad Lavaei,Steven H. Low +1 more
TL;DR: In this article, a necessary and sufficient condition is provided to guarantee the existence of no duality gap for the optimal power flow problem, which is the dual of an equivalent form of the OPF problem.
Journal ArticleDOI
A review of optimal power flow studies applied to smart grids and microgrids
TL;DR: In this article, the main OPF approaches are compared in terms of their objective functions, constraints, and methodologies, and some basic challenges arising from the new OPF methodologies in smart grids are addressed.
Journal ArticleDOI
Optimal Operation of Electric Railways With Renewable Energy and Electric Storage Systems
TL;DR: This paper proposes a methodology for optimal operation of railway electric energy systems considering renewable energy sources, regenerative braking capabilities and hybrid electric energy storage systems (ultracapacitors and batteries), and a multi-period AC optimal power flow problem.
Journal ArticleDOI
Operational Strategy Optimization in an Optimal Sized Smart Microgrid
TL;DR: The proposed framework can be considered as an efficient tool in planning and energy management of MGs through optimizing the type and capacity of distributed generation sources as well as the capacity of storage devices.
Journal ArticleDOI
Optimal operation of hybrid AC/DC microgrids under uncertainty of renewable energy resources: A comprehensive review
Motahareh Pourbehzadi,Taher Niknam,Jamshid Aghaei,Geev Mokryani,Miadreza Shafie-khah,Joao P. S. Catalao +5 more
TL;DR: A comprehensive review of the fundamentals of hybrid AC/DC microgrids and describes their components, including operational zones, control and optimization methods, power flow calculations in the presence of uncertainties related to renewable energy sources.
References
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On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
TL;DR: A comprehensive description of the primal-dual interior-point algorithm with a filter line-search method for nonlinear programming is provided, including the feasibility restoration phase for the filter method, second-order corrections, and inertia correction of the KKT matrix.
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Semidefinite programming
Lieven Vandenberghe,Stephen Boyd +1 more
TL;DR: A survey of the theory and applications of semidefinite programs and an introduction to primaldual interior-point methods for their solution are given.
Journal ArticleDOI
Semidefinite Relaxation of Quadratic Optimization Problems
TL;DR: This article has provided general, comprehensive coverage of the SDR technique, from its practical deployments and scope of applicability to key theoretical results, and showcased several representative applications, namely MIMO detection, B¿ shimming in MRI, and sensor network localization.
Journal ArticleDOI
Optimal Power Flow Solutions
TL;DR: A practical method is given for solving the power flow problem with control variables such as real and reactive power and transformer ratios automatically adjusted to minimize instantaneous costs or losses by Newton's method, a gradient adjustment algorithm for obtaining the minimum and penalty functions to account for dependent constraints.
Journal ArticleDOI
Zero Duality Gap in Optimal Power Flow Problem
Javad Lavaei,Steven H. Low +1 more
TL;DR: In this article, a necessary and sufficient condition is provided to guarantee the existence of no duality gap for the optimal power flow problem, which is the dual of an equivalent form of the OPF problem.