JuMP 1.0: Recent improvements to a modeling language for mathematical optimization

M Lubin, O Dowson, JD Garcia, J Huchette… - Mathematical …, 2023 - Springer
JuMP is an algebraic modeling language embedded in the Julia programming language.
JuMP allows users to model optimization problems of a variety of kinds, including linear …

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 …

Recent developments in security-constrained AC optimal power flow: Overview of challenge 1 in the ARPA-E grid optimization competition

I Aravena, DK Molzahn, S Zhang… - Operations …, 2023 - pubsonline.informs.org
The optimal power-flow problem is central to many tasks in the design and operation of
electric power grids. This problem seeks the minimum-cost operating point for an electric …

Predicting ac optimal power flows: Combining deep learning and lagrangian dual methods

F Fioretto, TWK Mak, P Van Hentenryck - Proceedings of the AAAI …, 2020 - aaai.org
Abstract The Optimal Power Flow (OPF) problem is a fundamental building block for the
optimization of electrical power systems. It is nonlinear and nonconvex and computes the …

Low voltage distribution networks modeling and unbalanced (optimal) power flow: A comprehensive review

IA Ibrahim, MJ Hossain - IEEE Access, 2021 - ieeexplore.ieee.org
The rapid increase of distributed energy resources (DERs) installation at residential and
commercial levels can pose significant technical issues on the voltage levels and capacity of …

Self-supervised primal-dual learning for constrained optimization

S Park, P Van Hentenryck - Proceedings of the AAAI Conference on …, 2023 - ojs.aaai.org
This paper studies how to train machine-learning models that directly approximate the
optimal solutions of constrained optimization problems. This is an empirical risk minimization …

Balancing wildfire risk and power outages through optimized power shut-offs

N Rhodes, L Ntaimo, L Roald - IEEE Transactions on Power …, 2020 - ieeexplore.ieee.org
Electric grid faults can ignite catastrophic wildfires, particularly in regions with high winds
and low humidity. In real-time operations, electric utilities have few options for wildfire risk …

Optimal power flow for AC–DC grids: Formulation, convex relaxation, linear approximation, and implementation

H Ergun, J Dave, D Van Hertem… - IEEE transactions on …, 2019 - ieeexplore.ieee.org
HVDC is becoming an increasingly important part of the present day transmission systems.
Accurate models of active and reactive power control capabilities of HVDC converter …

Evaluating the resilience of electrical power line outages caused by wildfires

HR Sayarshad, R Ghorbanloo - Reliability Engineering & System Safety, 2023 - Elsevier
Power transmission lines are an essential component of the electricity distribution system,
responsible for transporting electricity from power plants to homes and businesses. Power …

Modeling and vulnerability analysis of interdependent railway and power networks: Application to British test systems

A Bellè, Z Zeng, C Duval, M Sango, A Barros - Reliability engineering & …, 2022 - Elsevier
Railway and power networks are among the most important critical infrastructures and their
vulnerability under different types of disrupting events has been analyzed extensively …