Power Flow Optimization for Smart Microgrids by SDP Relaxation on Linear Networks

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...

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Bibliographic Details
Published in:IEEE transactions on smart grid Vol. 4; no. 2; pp. 751 - 762
Main Authors: Erseghe, T., Tomasin, S.
Format: Journal Article
Language:English
Published: IEEE 01.06.2013
Subjects:
Cost function
Energy efficiency
Energy storage
Load modeling
Matrix decomposition
optimal power flow
semi definite programming
sequential convex programming
Smart grids
smart microgrid
Vectors
ISSN:1949-3053, 1949-3061
Online Access:Get full text
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Summary: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.
ISSN:1949-3053
1949-3061
DOI:10.1109/TSG.2012.2222677