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A system is called positive if the set of non-negative states is left invariant by the dynamics. Stability analysis and controller optimization are greatly simplified for such systems. For example, linear Lyapunov functions and storage…

Optimization and Control · Mathematics 2015-06-19 Anders Rantzer

In this research a real time power hardware in loop configuration has been implemented for an microgrid with the combination of distribution energy resources such as photovoltaic, grid tied inverter, battery, utility grid, and a diesel…

Systems and Control · Electrical Eng. & Systems 2025-05-27 Saiful Islam , Sanaz Mostaghim , Michael Hartmann

Wind integration in power grids is very difficult, essentially because of the uncertain nature of wind speed. Forecasting errors on output from wind turbines may have costly consequences. For instance, power might be bought at highest price…

Optimization and Control · Mathematics 2016-04-28 Luckny Zéphyr , C. Lindsay Anderson

Low-inertia, isolated power systems face the problem of resiliency to power variations. The integration of renewable energy sources, such as wind and solar photovoltaic, pushes the boundaries of this issue further. Higher shares of…

Systems and Control · Electrical Eng. & Systems 2022-10-05 Erick Fernando Alves , Louis Polleux , Gilles Guerassimoff , Magnus Korpås , Elisabetta Tedeschi

The proliferation of inverter-based generation and advanced sensing, controls, and communication infrastructure have facilitated the accelerated deployment of microgrids. A coordinated network of microgrids can maintain reliable power…

Systems and Control · Electrical Eng. & Systems 2020-03-19 Sai Pushpak Nandanoori , Soumya Kundu , Wei Du , Francis Tuffner , Kevin Schneider

We present a novel class of minimax optimal control problems with positive dynamics, linear objective function and homogeneous constraints. The proposed problem class can be analyzed with dynamic programming and an explicit solution to the…

Optimization and Control · Mathematics 2023-12-11 Alba Gurpegui , Emma Tegling , Anders Rantzer

Numerically robust algorithmic formulations suitable for rate-independent crystal plasticity are presented. They cover classic local models as well as gradient-enhanced theories in which the gradients of the plastic slips are incorporated…

Computational Engineering, Finance, and Science · Computer Science 2023-11-21 Volker Fohrmeister , Jörn Mosler

A new control approach is proposed for the grid insertion of Power Park Modules (PPMs). It allows full participation of these modules to ancillary services. This means that, not only their control have some positive impact on the grid…

Systems and Control · Electrical Eng. & Systems 2021-07-06 Bogdan Marinescu , Elkhatib Kamal , Hoang-Trung Ngo

As the proportion of converter-interfaced renewable energy resources in the power system is increasing, the strength of the power grid at the connection point of wind turbine generators (WTGs) is gradually weakening. Existing research has…

Systems and Control · Electrical Eng. & Systems 2023-06-13 Mohammad Kazem Bakhshizadeh , Sujay Ghosh , Guangya Yang , Łukasz Kocewiak

This review analysis presents a comprehensive exploration of energy flexibility in modern power systems. It examines the roles and mechanisms of flexible technologies across three main categories: generators, energy storage systems (ESS),…

Systems and Control · Electrical Eng. & Systems 2025-08-21 Jesus Silva-Rodriguez , Tianxia Zhao , Ran Mo , Xingpeng Li

Renewable-driven microgrids dominated by grid-forming (GFM) converters are subject to persistent power fluctuations, making equilibrium-known stability assessments restrictive. This paper develops an equilibrium-free contraction stability…

Systems and Control · Electrical Eng. & Systems 2026-05-22 Shijie Peng , Xiuqiang He , Xi Ru , Hua Geng

With the rapid adoption of emerging inverter-based resources, it is crucial to understand their dynamic interactions across the network and ensure stability. This paper proposes a systematic and efficient method to determine the optimal…

Systems and Control · Electrical Eng. & Systems 2024-12-23 Sushobhan Chatterjee , Sijia Geng

The pursuit of sustainability motivates microgrids that depend on distributed resources to produce more renewable energies. An efficient operation and planning relies on a holistic framework that takes into account the interdependent…

Systems and Control · Computer Science 2017-07-25 Juntao Chen , Quanyan Zhu

The increasing penetration of renewable energy sources introduces significant challenges to power grid stability, primarily due to their inherent variability. A new opportunity for grid operation is the smart integration of electricity…

Optimization and Control · Mathematics 2025-10-30 Janik Pinter , Frederik Zahn , Maximilian Beichter , Ralf Mikut , Veit Hagenmeyer

Many recent works in control of electric power systems have investigated their synchronization through global performance metrics under external disturbances. The approach is motivated by fundamental changes in the operation of power grids,…

Signal Processing · Electrical Eng. & Systems 2020-07-28 Melvyn Tyloo , Philippe Jacquod

Smart inverters have been advocated as a fast-responding mechanism for voltage regulation in distribution grids. Nevertheless, optimal inverter coordination can be computationally demanding, and preset local control rules are known to be…

Optimization and Control · Mathematics 2019-09-26 Mana Jalali , Vassilis Kekatos , Nikolaos Gatsis , Deepjyoti Deka

The reduced inertia in power system introduces more operation risks and challenges to frequency regulation. The existing virtual inertia and frequency support control are restricted by the normally non-dispatchable energy resources behind…

Systems and Control · Electrical Eng. & Systems 2024-08-30 Chu Sun , Syed Qaseem Ali , Geza Joos

Efficiency and reliability are both crucial for energy management, especially in multi-microgrid systems (MMSs) integrating intermittent and distributed renewable energy sources. This study investigates an economic and reliable energy…

Systems and Control · Electrical Eng. & Systems 2025-11-27 Junkai Hu , Li Xia

In contexts where data samples represent a physically stable state, it is often assumed that the data points represent the local minima of an energy landscape. In control theory, it is well-known that energy can serve as an effective…

Machine Learning · Computer Science 2024-02-09 Christopher Iliffe Sprague , Arne Elofsson , Hossein Azizpour

Proper modeling of inverter-based microgrids is crucial for accurate assessment of stability boundaries. It has been recently realized that the stability conditions for such microgrids are significantly different from those known for large-…

Systems and Control · Computer Science 2016-11-08 Petr Vorobev , Po-Hsu Huang , Mohamed Al Hosani , James L. Kirtley , Konstantin Turitsyn
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