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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Kekatos, V. Giannakis, G.B. Baldick, R. |
| Copyright Year | 2014 |
| Description | Author affiliation: Dept. of ECE, Univ. of Minnesota, Minneapolis, MN, USA (Kekatos, V.; Giannakis, G.B.) || Dept. of ECE, Univ. of Texas at Austin, Austin, TX, USA (Baldick, R.) |
| Abstract | The potential of recovering the topology of a grid using solely publicly available market data is explored here. In contemporary whole-sale electricity markets, real-time prices are typically determined by solving the network-constrained economic dispatch problem. Under a linear DC model, locational marginal prices (LMPs) correspond to the Lagrange multipliers of the linear program involved. The interesting observation here is that the matrix of spatiotemporally varying LMPs exhibits the following property: Once premultiplied by the weighted grid Laplacian, it yields a low-rank and sparse matrix. Leveraging this rich structure, a regularized maximum likelihood estimator (MLE) is developed to recover the grid Laplacian from the LMPs. The convex optimization problem formulated includes low rank-and sparsity-promoting regularizers, and it is solved using a scalable algorithm. Numerical tests on prices generated for the IEEE 14-bus benchmark provide encouraging topology recovery results. |
| Starting Page | 1 |
| Ending Page | 5 |
| File Size | 579746 |
| Page Count | 5 |
| File Format | |
| ISBN | 9781479964154 |
| DOI | 10.1109/PESGM.2014.6939474 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2014-07-27 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Transmission line matrix methods Topology Laplace equations Network topology Symmetric matrices Sparse matrices Real-time systems graph Laplacian Nuclear norm regularization compressed sensing alternating direction method of multipliers economic dispatch locational marginal prices |
| Content Type | Text |
| Resource Type | Article |
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