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 …

Resilience in an evolving electrical grid

P Cicilio, D Glennon, A Mate, A Barnes, V Chalishazar… - Energies, 2021 - mdpi.com
Fundamental shifts in the structure and generation profile of electrical grids are occurring
amidst increased demand for resilience. These two simultaneous trends create the need for …

The role of optimal transmission switching in enhancing grid flexibility: A review

M Numan, MF Abbas, M Yousif, SSM Ghoneim… - IEEE …, 2023 - ieeexplore.ieee.org
The integration of variable renewable energy sources (RES) into power grids has resulted in
a more complex operating environment for power system operators (SO), necessitating the …

An adaptive, multivariate partitioning algorithm for global optimization of nonconvex programs

H Nagarajan, M Lu, S Wang, R Bent… - Journal of Global …, 2019 - Springer
In this work, we develop an adaptive, multivariate partitioning algorithm for solving
nonconvex, Mixed-Integer Nonlinear Programs (MINLPs) with polynomial functions to global …

Exploiting network topology optimization and demand side management to improve bulk power system resilience under windstorms

Y Li, K Xie, L Wang, Y Xiang - Electric Power Systems Research, 2019 - Elsevier
Natural hazards are great threats to the safe and reliable operation of electric power
systems. Some high-impact low-probability (HILP) events usually cause severe load losses …

Optimal transmission line switching to improve the reliability of the power system considering ac power flows

P Masache, D Carrión, J Cárdenas - Energies, 2021 - mdpi.com
The reliability of the electrical system is a fundamental study that is carried out to determine
the possible deficiencies that an electrical system can have in case of failures, since a failure …

Mathematical programming formulations for the alternating current optimal power flow problem

D Bienstock, M Escobar, C Gentile, L Liberti - 4OR, 2020 - Springer
Power flow refers to the injection of power on the lines of an electrical grid, so that all the
injections at the nodes form a consistent flow within the network. Optimality, in this setting, is …

Stochastic optimization for AC optimal transmission switching with generalized Benders decomposition

T Lan, Z Zhou, W Wang, GM Huang - … Journal of Electrical Power & Energy …, 2021 - Elsevier
Optimal transmission switching is proposed in recent years to optimize the power system
operational cost in deterministic studies. With the rapid growth of renewable generations, the …

Alternative mathematical models for the optimal transmission switching problem

M Flores, LH Macedo, R Romero - IEEE Systems Journal, 2020 - ieeexplore.ieee.org
In this article, the optimal transmission switching (OTS) problem is solved in order to
optimize the operation cost of an electrical power system. This is accomplished by …

Specialized scatter search algorithm for optimal transmission switching with voltage control

AM Garcia, LH Macedo, R Romero - Electric Power Systems Research, 2024 - Elsevier
This article presents a specialized scatter search (SS) algorithm to solve the optimal
transmission switching (OTS) problem considering voltage control, with the objective of …