237 research outputs found
Synchronization-Aware and Algorithm-Efficient Chance Constrained Optimal Power Flow
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.Comment: 11 pages, 3 figure
PowerModels.jl: An Open-Source Framework for Exploring Power Flow Formulations
In recent years, the power system research community has seen an explosion of
novel methods for formulating and solving power network optimization problems.
These emerging methods range from new power flow approximations, which go
beyond the traditional DC power flow by capturing reactive power, to convex
relaxations, which provide solution quality and runtime performance guarantees.
Unfortunately, the sophistication of these emerging methods often presents a
significant barrier to evaluating them on a wide variety of power system
optimization applications. To address this issue, this work proposes
PowerModels, an open-source platform for comparing power flow formulations.
From its inception, PowerModels was designed to streamline the process of
evaluating different power flow formulations on shared optimization problem
specifications. This work provides a brief introduction to the design of
PowerModels, validates its implementation, and demonstrates its effectiveness
with a proof-of-concept study analyzing five different formulations of the
Optimal Power Flow problem
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