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 …

A SOCP relaxation for cycle constraints in the optimal power flow problem

AF Soofi, SD Manshadi, G Liu… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
This article presented a convex relaxation approach for the optimal power flow problem. The
proposed approach leveraged the second-order cone programming (SOCP) relaxation to …

Tightening McCormick relaxations toward global solution of the ACOPF problem

M Bynum, A Castillo, JP Watson… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
We demonstrate that a strong upper bound on the objective of the alternating current optimal
power flow (ACOPF) problem can significantly improve the effectiveness of optimization …

A privacy-preserving distributed control of optimal power flow

M Ryu, K Kim - IEEE Transactions on Power Systems, 2021 - ieeexplore.ieee.org
We consider a distributed optimal power flow formulated as an optimization problem that
maximizes a nondifferentiable concave function. Solving such a problem by the existing …

Optimal power flow solution for distribution networks using quadratically constrained programming and McCormick relaxation technique

MS Javadi, CS Gouveia, LM Carvalho… - … on Environment and …, 2021 - ieeexplore.ieee.org
This paper presents a quadratically constrained programming (QCP) model to tackle the
optimal power flow (OPF) problem in distribution networks. The proposed model is fast …

Optimal dispatch of HCNG penetrated integrated energy system based on modelling of HCNG process

W Zheng, J Li, K Lei, Z Shao, J Li, Z Xu - International Journal of Hydrogen …, 2023 - Elsevier
Hydrogen is injected into the existing natural gas network to form hydrogen-rich compressed
natural gas (HCNG), effectively addressing the high cost of hydrogen transmission …

Stochasticity agnostic solution to the AC optimal power flow by recursive bound tightening with top‐down heuristically inducted binary decision trees

P Moutis, P Thakar - IET Generation, Transmission & …, 2023 - Wiley Online Library
The efficient solution of the AC optimal power flow (OPF) for all cases and electrical grids is
not guaranteed. Heuristics, approximations and relaxations have been proposed aplenty …

[PDF][PDF] Economic/environmental optimal power flow using a multiobjective convex formulation

L do Carmo Yamaguti, JM Home-Ortiz… - …, 2023 - pdfs.semanticscholar.org
This paper addresses the problem of economic/environmental optimal power flow with a
multiobjective formulation using a second-order conic programming (SOCP) optimization …

A SCOPF model for congestion management considering power flow controlling devices

A Kaushal, H Ergun, E Heylen, D Van Hertem - Electric Power Systems …, 2022 - Elsevier
With an increase in the share of distributed renewable generation, the power flow patterns
are changing, and there is an increasing probability of internal congestion. There is also an …

Evaluating demand response opportunities for power systems resilience using MILP and MINLP Formulations

M Bynum, A Castillo, JP Watson, CD Laird - AIChE Journal, 2019 - Wiley Online Library
While peak shaving is commonly used to reduce power costs, chemical process facilities
that can reduce power consumption on demand during emergencies (eg, extreme weather …