Evaluating the effects of real power losses in optimal power flow based storage integration
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.
- Research Organization:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Organization:
- National Science Foundation (pre Sandia employment); USDOE
- Grant/Contract Number:
- AC04-94AL85000
- OSTI ID:
- 1356831
- Report Number(s):
- SAND2017-2941J; 651853
- Journal Information:
- IEEE Transactions on Control of Network Systems, Vol. 5, Issue 3; ISSN 2325-5870
- Publisher:
- IEEECopyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Similar Records
Optimal Power Flow of Radial Networks and Its Variations: A Sequential Convex Optimization Approach
Virtual-Voltage Partition-Based Approach to Optimal Transmission Switching