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 …

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 …

[HTML][HTML] On the nonconvex feasible region of optimal power flow: Theory, degree, and impacts

ZY Wang, HD Chiang - International Journal of Electrical Power & Energy …, 2024 - Elsevier
The non-convexity of the Optimal Power Flow (OPF) feasible region complicates the solution
process and affects the applicability of various optimization techniques, which is crucial for …

Identifying and characterizing non-convexities in feasible spaces of optimal power flow problems

DK Molzahn - IEEE Transactions on Circuits and Systems II …, 2018 - ieeexplore.ieee.org
Optimal power flow (OPF) is an important problem in the operation of electric power systems.
The solution to an OPF problem provides a minimum cost operating point that satisfies …

Tightening QC relaxations of AC optimal power flow problems via complex per unit normalization

MR Narimani, DK Molzahn… - IEEE Transactions on …, 2020 - ieeexplore.ieee.org
Optimal power flow (OPF) is a key problem in power system operations. OPF problems that
use the nonlinear AC power flow equations to accurately model the network physics have …

Tightening qc relaxations of ac optimal power flow through improved linear convex envelopes

MR Narimani, DK Molzahn, KR Davis… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
AC optimal power flow (AC OPF) is a fundamental problem in power system operations.
Accurately modeling the network physics via the AC power flow equations makes AC OPF a …

A new approach in optimal control of step-down converters based on a switch-state controller

AP Sirat, N Zendehdel - 2020 IEEE Texas Power and Energy …, 2020 - ieeexplore.ieee.org
In this paper, an optimal approach based on on-off controller is used to optimally control a
DC-DC step-down converter. It is shown that the conventional controller techniques of DC …

Optimization-based exploration of the feasible power flow space for rapid data collection

IV Nadal, S Chevalier - 2022 IEEE International Conference on …, 2022 - ieeexplore.ieee.org
This paper provides a systematic investigation into the various nonlinear objective functions
which can be used to explore the feasible space associated with the optimal power flow …

Assessing the impact of Higher Order Network Structure on Tightness of OPF Relaxation

N Sadik, MR Narimani - 2023 North American Power …, 2023 - ieeexplore.ieee.org
AC optimal power flow (AC OPF) is a fundamental problem in power system operation and
control. Accurately modeling the network physics via the AC power flow equations makes …