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Related papers: Robust stability analysis of DC microgrids with co…

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We consider the problem of designing learning-based reactive power controllers that perform voltage regulation in distribution grids while ensuring closed-loop system stability. In contrast to existing methods, where the provably stable…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Zhenyi Yuan , Jie Feng , Yuanyuan Shi , Jorge Cortés

The complexity arising in AC microgrids from multiple interacting distributed generation units (DGUs) with intermittent supply behavior requires local voltage-source inverters (VSIs) to be controlled in a distributed or decentralized manner…

Systems and Control · Electrical Eng. & Systems 2020-02-13 Felix Strehle , Albertus Johannes Malan , Stefan Krebs , Sören Hohmann

As modern engineering systems grow in complexity, attitudes toward a modular design approach become increasingly more favorable. A key challenge to a modular design approach is the certification of robust stability under uncertainties in…

Optimization and Control · Mathematics 2019-03-22 Soumya Kundu , Wei Du , Sai Pushpak Nandanoori , Frank Tuffner , Kevin Schneider

Inverter-based microgrids are an important technology for sustainable electrical power systems and typically use droop-controlled grid-forming inverters to interface distributed energy resources to the network and control the voltage and…

Optimization and Control · Mathematics 2020-03-12 Yemi Ojo , Jeremy Watson , Ioannis Lestas

A problem of load balancing in isolated DC microgrids is considered in this paper. Here, a DC load is fed by multiple heterogenous DC sources, each of which is connected to the load via a boost converter. The gains of the DCC's provide for…

Systems and Control · Electrical Eng. & Systems 2022-04-27 Shravan Mohan , Bharath Bhikkaji

With an increasing share of renewable energy sources, accurate and efficient modeling of grid-forming inverters is becoming crucial for system stability. Linear methods are a powerful tool for understanding dynamics close to an operating…

Systems and Control · Electrical Eng. & Systems 2025-06-30 Jakob Niehues , Anna Büttner , Anne Riegler , Frank Hellmann

Electric power grids regularly experience uncertain fluctuations from load demands and renewables, which poses a risk of violating operational limits designed to safeguard the system. In this paper, we consider the robust AC OPF problem…

Optimization and Control · Mathematics 2021-04-13 Dongchan Lee , Konstantin Turitsyn , Daniel K. Molzahn , Line A. Roald

In this work, we present new secondary regulators for current sharing and voltage balancing in DC microgrids, composed of distributed generation units, dynamic RLC lines, and nonlinear ZIP (constant impedance, constant current, and constant…

Systems and Control · Electrical Eng. & Systems 2020-05-04 Pulkit Nahata , Giancarlo Ferrari-Trecate

Neural networks have become increasingly popular in controller design due to their versatility and efficiency. However, their integration into feedback systems can pose stability challenges, particularly in the presence of uncertainties.…

Optimization and Control · Mathematics 2025-03-04 Yuhao Zhang , Xiangru Xu

Rapid developments in power distribution systems and renewable energy have widened the applications of dc--dc buck--boost converters in dc voltage regulation. Applications include vehicular power systems, renewable energy sources that…

Systems and Control · Electrical Eng. & Systems 2019-09-11 Carlos A. Soriano--Rangel , Wei He , Fernando Mancilla--David , Romeo Ortega

Linear systems governed by continuous-time difference equations cover a wide class of linear systems. From the Lyapunov-Krasovskii approach, we investigate stability for such a class of systems. Sufficient conditions, and in some particular…

Optimization and Control · Mathematics 2013-12-30 S. Damak , M. Di Loreto , W. Lombardi , V Andrieu

There are tradeoffs between current sharing among distributed resources and DC bus voltage stability when conventional droop control is used in DC microgrids. As current sharing approaches the setpoint, bus voltage deviation increases.…

Optimization and Control · Mathematics 2017-01-24 Tuyen V. Vu , Dallas Perkins , Fernand Diaz , David Gonsoulin , Chris S. Edrington , Touria El-Mezyani

Many problems in systems and control theory can be formulated in terms of robust D-stability analysis, which aims at verifying if all the eigenvalues of an uncertain matrix lie in a given region D of the complex plane. Robust D-stability…

Optimization and Control · Mathematics 2018-06-19 Dario Piga , Alessio Benavoli

The energy transition is causing many stability-related challenges for power systems. Transient stability refers to the ability of a power grid's bus angles to retain synchronism after the occurrence of a major fault. In this paper a…

Optimization and Control · Mathematics 2021-01-12 Tim Aschenbruck , Willem Esterhuizen , Stefan Streif

To mitigate the vulnerability of distribution grids to severe weather events, some electric utilities use preemptive de-energization as the primary line of defense, causing significant power outages. In such instances, networked microgrids…

Optimization and Control · Mathematics 2024-04-05 Hannah Moring , Harsha Nagarajan , Kshitij Girigoudar , David M. Fobes , Johanna L. Mathieu

The integration of various power sources, including renewables and electric vehicles, into smart grids is expanding, introducing uncertainties that can result in issues like voltage imbalances, load fluctuations, and power losses. These…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Qi Li , Ye Shi , Yuning Jiang , Yuanming Shi , Haoyu Wang , H. Vincent Poor

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 given non-consistent initial conditions, we study the stability of a class of generalised linear systems of difference equations with constant coefficients and taking into account that the leading coefficient can be a singular matrix.…

Dynamical Systems · Mathematics 2016-12-14 Nicholas Apostolopoulos , Fernando Ortega , Grigoris Kalogeropoulos

Ad hoc electrical networks are formed by connecting power sources and loads without pre-determining the network topology. These systems are well-suited to addressing the lack of electricity in rural areas because they can be assembled and…

Systems and Control · Computer Science 2016-09-26 Julia A. Belk , Wardah Inam , David J. Perreault , Konstantin Turitsyn

A robust power scheduling algorithm is proposed to schedule power flow between the main electricity grid and a microgird with solar energy generation and battery energy storage subject to uncertainty in solar energy production. To avoid…

Systems and Control · Computer Science 2019-02-22 Amir Valibeygi , Abdulelah H. Habib , Raymond A. de Callafon