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Title: Evaluating the effects of real power losses in optimal power flow based storage integration

Abstract

This study proposes a DC optimal power flow (DCOPF) with losses formulation (the `-DCOPF+S problem) and uses it to investigate the role of real power losses in OPF based grid-scale storage integration. We derive the `- DCOPF+S problem by augmenting a standard DCOPF with storage (DCOPF+S) problem to include quadratic real power loss approximations. This procedure leads to a multi-period nonconvex quadratically constrained quadratic program, which we prove can be solved to optimality using either a semidefinite or second order cone relaxation. Our approach has some important benefits over existing models. It is more computationally tractable than ACOPF with storage (ACOPF+S) formulations and the provably exact convex relaxations guarantee that an optimal solution can be attained for a feasible problem. Adding loss approximations to a DCOPF+S model leads to a more accurate representation of locational marginal prices, which have been shown to be critical to determining optimal storage dispatch and siting in prior ACOPF+S based studies. Case studies demonstrate the improved accuracy of the `-DCOPF+S model over a DCOPF+S model and the computational advantages over an ACOPF+S formulation.

Authors:
ORCiD logo [1];  [2]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. Johns Hopkins Univ., Baltimore, MD (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
National Science Foundation (pre Sandia employment); USDOE
OSTI Identifier:
1356831
Report Number(s):
SAND2017-2941J
Journal ID: ISSN 2325-5870; 651853
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
IEEE Transactions on Control of Network Systems
Additional Journal Information:
Journal Name: IEEE Transactions on Control of Network Systems; Journal ID: ISSN 2325-5870
Country of Publication:
United States
Language:
English
Subject:
24 POWER TRANSMISSION AND DISTRIBUTION

Citation Formats

Castillo, Anya, and Gayme, Dennice. Evaluating the effects of real power losses in optimal power flow based storage integration. United States: N. p., 2017. Web. doi:10.1109/tcns.2017.2687819.
Castillo, Anya, & Gayme, Dennice. Evaluating the effects of real power losses in optimal power flow based storage integration. United States. doi:10.1109/tcns.2017.2687819.
Castillo, Anya, and Gayme, Dennice. Mon . "Evaluating the effects of real power losses in optimal power flow based storage integration". United States. doi:10.1109/tcns.2017.2687819. https://www.osti.gov/servlets/purl/1356831.
@article{osti_1356831,
title = {Evaluating the effects of real power losses in optimal power flow based storage integration},
author = {Castillo, Anya and Gayme, Dennice},
abstractNote = {This study proposes a DC optimal power flow (DCOPF) with losses formulation (the `-DCOPF+S problem) and uses it to investigate the role of real power losses in OPF based grid-scale storage integration. We derive the `- DCOPF+S problem by augmenting a standard DCOPF with storage (DCOPF+S) problem to include quadratic real power loss approximations. This procedure leads to a multi-period nonconvex quadratically constrained quadratic program, which we prove can be solved to optimality using either a semidefinite or second order cone relaxation. Our approach has some important benefits over existing models. It is more computationally tractable than ACOPF with storage (ACOPF+S) formulations and the provably exact convex relaxations guarantee that an optimal solution can be attained for a feasible problem. Adding loss approximations to a DCOPF+S model leads to a more accurate representation of locational marginal prices, which have been shown to be critical to determining optimal storage dispatch and siting in prior ACOPF+S based studies. Case studies demonstrate the improved accuracy of the `-DCOPF+S model over a DCOPF+S model and the computational advantages over an ACOPF+S formulation.},
doi = {10.1109/tcns.2017.2687819},
journal = {IEEE Transactions on Control of Network Systems},
number = ,
volume = ,
place = {United States},
year = {Mon Mar 27 00:00:00 EDT 2017},
month = {Mon Mar 27 00:00:00 EDT 2017}
}

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