English

Synchronization-Aware and Algorithm-Efficient Chance Constrained Optimal Power Flow

Optimization and Control 2013-06-14 v1 Systems and Control Physics and Society

Abstract

One of the most common control decisions faced by power system operators is the question of how to dispatch generation to meet demand for power. This is a complex optimization problem that includes many nonlinear, non convex constraints as well as inherent uncertainties about future demand for power and available generation. In this paper we develop convex formulations to appropriately model crucial classes of nonlinearities and stochastic effects. We focus on solving a nonlinear optimal power flow (OPF) problem that includes loss of synchrony constraints and models wind-farm caused fluctuations. In particular, we develop (a) a convex formulation of the deterministic phase-difference nonlinear Optimum Power Flow (OPF) problem; and (b) a probabilistic chance constrained OPF for angular stability, thermal overloads and generation limits that is computationally tractable.

Keywords

Cite

@article{arxiv.1306.2972,
  title  = {Synchronization-Aware and Algorithm-Efficient Chance Constrained Optimal Power Flow},
  author = {Russell Bent and Daniel Bienstock and Michael Chertkov},
  journal= {arXiv preprint arXiv:1306.2972},
  year   = {2013}
}

Comments

11 pages, 3 figures

R2 v1 2026-06-22T00:33:01.501Z