This paper proposes a suite of algorithms to determine the active- and reactive-power setpoints for photovoltaic (PV) inverters in distribution networks. The objective is to optimize the operation of the distribution feeder according to a variety of performance objectives and ensure voltage regulation. In general, these algorithms take a form of the widely studied ac optimal power flow (OPF) problem. For the envisioned application domain, nonlinear power-flow constraints render pertinent OPF problems nonconvex and computationally intensive for large systems. To address these concerns, we formulate a quadratic constrained quadratic program (QCQP) by leveraging a linear approximation of the algebraic power-flow equations. Furthermore, simplification from QCQP to a linearly constrained quadratic program is provided under certain conditions. The merits of the proposed approach are demonstrated with simulation results that utilize realistic PV-generation and load-profile data for illustrative distribution-system test feeders.
Bibliographical noteFunding Information:
The work of S. S. Guggilam, S. V. Dhople, and G. B. Giannakis were supported in part by the National Science Foundation under Grant CCF 1423316, Grant CyberSEES 1442686, and Grant CAREER Award ECCS-1453921, and in part by the Institute of Renewable Energy and the Environment, University of Minnesota, under Grant RL-0010-13. The work of E. Dall'Anese was supported by the Laboratory Directed Research and Development Program at the National Renewable Energy Laboratory.
- Distribution networks
- PV systems