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Related papers: Optimal Power Flow Schedules with Reduced Low-Freq…

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The stability of inverter-dominated power grids remains an active area of research. This paper presents novel sufficient conditions for ensuring small-signal stability in lossless and constant $R/X$ grids with highly heterogeneous mixes of…

Optimization and Control · Mathematics 2025-07-03 Jakob Niehues , Robin Delabays , Anna Büttner , Frank Hellmann

The ever increasing penetration of Renewable Energy Resources (RESs) in power distribution networks has brought, among others, the challenge of maintaining the grid voltages within the secure region. Employing droop voltage regulators on…

Optimization and Control · Mathematics 2022-03-18 H. Sekhavatmanesh , G. Ferrari-Trecate , S. Mastellone

The paper presents a theoretical study on small-signal stability and damping in bulk power systems with multiple grid-forming inverter-based storage resources. A detailed analysis is presented, characterizing the impacts of inverter droop…

Systems and Control · Electrical Eng. & Systems 2024-09-06 Kaustav Chatterjee , Ramij Raja Hossain , Sai Pushpak Nandanoori , Soumya Kundu , Subhrajit Sinha , Diane Baldwin , Ronald Melton

Resilient operation of the power system during ongoing wildfires is challenging because of the uncertain ways in which the fires impact the electric power infrastructure (multiple arc-faults, complete melt-down). To address this challenge,…

Systems and Control · Electrical Eng. & Systems 2024-04-22 Satyaprajna Sahoo , Anamitra Pal

DC microgrids have promising applications in renewable integration due to their better energy efficiency when connecting DC components. However, they might be unstable since many loads in a DC microgrid are regulated as constant power loads…

Optimization and Control · Mathematics 2022-05-23 Jianzhe Liu , Yichen Zhang , Antonio J. Conejo , Feng Qiu

80% of all Renewable Energy Power in Germany is installed in tree-like distribution grids. Intermittent power fluctuations from such sources introduce new dynamics into the lower grid layers. At the same time, distributed resources will…

Physics and Society · Physics 2017-10-11 Sabine Auer , Frank Hellmann , Marie Krause , Jürgen Kurths

In this paper, we consider the problem of optimally coordinating the response of a group of distributed energy resources (DERs) in distribution systems by solving the so-called optimal power flow (OPF) problem. The OPF problem is concerned…

Systems and Control · Computer Science 2020-05-07 Madi Zholbaryssov , Alejandro D. Dominguez-Garcia

Finding a global solution to the optimal power flow (OPF) problem is difficult due to its nonconvexity. A convex relaxation in the form of semidefinite programming (SDP) has attracted much attention lately as it yields a global solution in…

Optimization and Control · Mathematics 2016-03-04 Cédric Josz , Jean Maeght , Patrick Panciatici , Jean Charles Gilbert

The incorporation of stochastic loads and generation into the operation of power grids gives rise to an exposure to stochastic risk. This risk has been addressed in prior work through a variety of mechanisms, such as scenario generation or…

Optimization and Control · Mathematics 2017-11-06 Daniel Bienstock , Apurv Shukla

This paper proposes a centralized and a distributed sub-optimal control strategy to maintain in safe regions the real-time transient frequencies of a given collection of buses, and simultaneously preserve asymptotic stability of the entire…

Systems and Control · Computer Science 2018-09-18 Yifu Zhang , Jorge Cortes

Small-Signal Stability Constrained Optimal Power Flow (SSSC-OPF) can provide additional stability measures and control strategies to guarantee the system to be small-signal stable. However, due to the nonsmooth property of the spectral…

Optimization and Control · Mathematics 2016-08-15 Peijie Li , Junjian Qi , Jianhui Wang , Hua Wei , Xiaoqing Bai , Feng Qiu

This letter proposes an analytical approach to formulate the power system oscillation frequency under a large disturbance. A fact is revealed that the oscillation frequency is only the function of the oscillation amplitude when the system's…

Systems and Control · Computer Science 2015-03-27 Bin Wang , Kai Sun

AC-OPF (Alternative Current Optimal Power Flow)aims at minimizing the operating costs of a power gridunder physical constraints on voltages and power injections.Its mathematical formulation results in a nonconvex polynomial…

Optimization and Control · Mathematics 2023-05-31 Adrien Le Franc , Victor Magron , Jean-Bernard Lasserre , Manuel Ruiz , Patrick Panciatici

The dynamical stability of the iterates during training plays a key role in determining the minima obtained by optimization algorithms. For example, stable solutions of gradient descent (GD) correspond to flat minima, which have been…

Machine Learning · Computer Science 2026-02-17 Rotem Mulayoff , Sebastian U. Stich

In this paper, the optimal operation of a microgrid is investigated when the network is connected at a 24-hour interval for a specific day. For the optimal operation, some criteria, such as the simultaneous reduction in operation costs,…

Systems and Control · Electrical Eng. & Systems 2019-11-12 Ali Montazeri , Alireza Sedighi Anaraki , Shahab Aref

In this two-part paper we develop a unifying framework for the analysis of the feasibility of the power flow equations for DC power grids with constant-power loads. In Part I of this paper we present a detailed introduction to the problem…

Systems and Control · Electrical Eng. & Systems 2020-11-19 Mark Jeeninga , Claudio De Persis , Arjan van der Schaft

For a timely decarbonization of our economy, power systems need to accommodate increasing numbers of clean but stochastic resources. This requires new operational methods that internalize this stochasticity to ensure safety and efficiency.…

Optimization and Control · Mathematics 2024-04-02 Robert Mieth , H. Vincent Poor

This paper studies stability analysis of DC microgrids with uncertain constant power loads (CPLs). It is well known that CPLs have negative impedance effects, which may cause instability in a DC microgrid. Existing works often study the…

Optimization and Control · Mathematics 2017-02-27 Jianzhe Liu , Wei Zhang , Giorgio Rizzoni

The aggressive integration of distributed renewable sources is changing the dynamics of the electric power grid in an unexpected manner. As a result, maintaining conventional performance specifications, such as transient stability, may not…

Optimization and Control · Mathematics 2018-06-14 Liviu Aolaritei , Dongchan Lee , Thanh Long Vu , Konstantin Turitsyn

Optimal power flow (OPF) is an important tool for Independent System Operators (ISOs) to deal with the power generation management. With the increasing penetration of renewable energy into power grids, challenges arise in tackling the OPF…

Optimization and Control · Mathematics 2023-06-27 Jia Yang , Jun Song , Chaoyue Zhao