Power systems optimization under uncertainty: A review of methods and applications

LA Roald, D Pozo, A Papavasiliou, DK Molzahn… - Electric Power Systems …, 2023 - Elsevier
Electric power systems and the companies and customers that interact with them are
experiencing increasing levels of uncertainty due to factors such as renewable energy …

NESTA, the NICTA energy system test case archive

C Coffrin, D Gordon, P Scott - arxiv preprint arxiv:1411.0359, 2014 - arxiv.org
In recent years the power systems research community has seen an explosion of work
applying operations research techniques to challenging power network optimization …

Branch flow model: Relaxations and convexification—Part I

M Farivar, SH Low - IEEE Transactions on Power Systems, 2013 - ieeexplore.ieee.org
We propose a branch flow model for the analysis and optimization of mesh as well as radial
networks. The model leads to a new approach to solving optimal power flow (OPF) that …

Convex relaxation of optimal power flow—Part I: Formulations and equivalence

SH Low - IEEE Transactions on Control of Network Systems, 2014 - ieeexplore.ieee.org
This tutorial summarizes recent advances in the convex relaxation of the optimal power flow
(OPF) problem, focusing on structural properties rather than algorithms. Part I presents two …

PyPSA: Python for power system analysis

T Brown, J Hörsch, D Schlachtberger - arxiv preprint arxiv:1707.09913, 2017 - arxiv.org
Python for Power System Analysis (PyPSA) is a free software toolbox for simulating and
optimising modern electrical power systems over multiple periods. PyPSA includes models …

A survey of relaxations and approximations of the power flow equations

DK Molzahn, IA Hiskens - Foundations and Trends® in …, 2019 - nowpublishers.com
The power flow equations relate the power injections and voltages in an electric power
system and are therefore key to many power system optimization and control problems …

DC power flow revisited

B Stott, J Jardim, O Alsaç - IEEE Transactions on Power …, 2009 - ieeexplore.ieee.org
Linear MW-only ldquodcrdquo network power flow models are in widespread and even
increasing use, particularly in congestion-constrained market applications. Many versions of …

The QC relaxation: A theoretical and computational study on optimal power flow

C Coffrin, HL Hijazi… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
Convex relaxations of the power flow equations and, in particular, the semi-definite
programming (SDP) and second-order cone (SOC) relaxations, have attracted significant …

A Lagrange-multiplier-based reliability assessment for power systems considering topology and injection uncertainties

Z Liu, P Tang, K Hou, L Zhu, J Zhao… - IEEE transactions on …, 2023 - ieeexplore.ieee.org
With the expansion of power grids and the growth of renewable energy generation, more
uncertainties of topology (eg, components outages) and injection (eg, renewable energy …

Near-optimal method for siting and sizing of distributed storage in a transmission network

H Pandžić, Y Wang, T Qiu, Y Dvorkin… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
Energy storage can alleviate the problems that the uncertainty and variability associated
with renewable energy sources such as wind and solar create in power systems. Besides …