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This paper presents a non-linear stability analysis for dc-microgrids in both, interconnected mode and island operation with primary control. The proposed analysis is based on the fact that the dynamical model of the grid is a gradient…

Optimization and Control · Mathematics 2019-01-07 Alejandro Garces

Increasing the inertia is widely considered to be the solution to resolving unstable interactions between coupled oscillators. In power grids, Virtual Synchronous Generators (VSGs) are proposed to compensate the reducing inertia as rotating…

Systems and Control · Electrical Eng. & Systems 2022-01-31 Gurupraanesh Raman , Gururaghav Raman , Jimmy Chih-Hsien Peng

This paper investigates the implementation and application of the multi-variable grid-forming hybrid angle control (HAC) for high-power converters in transmission grids. We explore the system-level performance and robustness of the HAC…

Optimization and Control · Mathematics 2021-10-13 Ali Tayyebi , Alan Magdaleno , Denis Vettoretti , Meng Chen , Eduardo Prieto-Araujo , Adolfo Anta , Florian Dörfler

Stability guarantees are critical for cycle-by-cycle controlled dc-dc converters in consumer electronics and energy storage systems. Traditional stability analysis on cycle-by-cycle dc-dc converters is incomplete because the inductor…

Systems and Control · Electrical Eng. & Systems 2022-10-18 Xiaofan Cui , Al-Thaddeus Avestruz

The increasing adoption of power electronic devices may lead to large disturbance and destabilization of future power systems. However, stability criteria are still an unsolved puzzle, since traditional small-signal stability analysis is…

Systems and Control · Electrical Eng. & Systems 2020-05-27 Fangyuan Chang , Xiaofan Cui , Mengqi Wang , Wencong Su , Alex Q. Huang

This paper presents a new generalization error analysis for Decentralized Stochastic Gradient Descent (D-SGD) based on algorithmic stability. The obtained results overhaul a series of recent works that suggested an increased instability due…

Machine Learning · Computer Science 2024-06-14 Batiste Le Bars , Aurélien Bellet , Marc Tommasi , Kevin Scaman , Giovanni Neglia

This paper presents a method for controlling the voltage of inverter-based Microgrids by proposing a new scale-free distributed cooperative controller. The communication network is modeled by a general time-varying graph which enhances the…

Systems and Control · Electrical Eng. & Systems 2021-03-24 Donya Nojavanzadeh , Saeed Lotfifard , Zhenwei Liu , Ali Saberi , Anton A. Stoorvogel

The proposed approach yields a numerical method that provably executes in linear time with respect to the number of nodes and edges in a graph. The graph, constructed from the power system model, requires only knowledge of the dependencies…

Systems and Control · Electrical Eng. & Systems 2025-10-31 Akhila Kandivalasa , Marcos Netto

We propose an end-to-end framework based on a Graph Neural Network (GNN) to balance the power flows in energy grids. The balancing is framed as a supervised vertex regression task, where the GNN is trained to predict the current and power…

Machine Learning · Computer Science 2022-08-15 Jonas Berg Hansen , Stian Normann Anfinsen , Filippo Maria Bianchi

Scaled graphs (SGs) offer a geometric framework for feedback stability analysis. This paper develops containment conditions for SGs within multiplier-defined regions, addressing both circular and conic geometries. For circular regions, we…

Optimization and Control · Mathematics 2026-04-08 Eder Baron-Prada , Julius P. J. Krebbekx , Adolfo Anta , Florian Dörfler

A new method for the stability assessment of inverter-based microgrids is presented in this paper. Directly determining stability boundaries by searching the multidimensional space of inverters' droop gains is a computationally prohibitive…

Systems and Control · Electrical Eng. & Systems 2021-11-02 Andrey Gorbunov , Jimmy Chih-Hsien Peng , Janusz W. Bialek , Petr Vorobev

The renewable energy is connected to the power grid through power electronic converters, which are lack of make the inertia of synchronous generator/machine (SM) be lost. The increasing penetration of renewable energy in power system…

Systems and Control · Electrical Eng. & Systems 2020-09-15 Yuan Gao , Hai-Peng Ren , Jie Li

Virtual inertia is an effective control approach to attenuate sudden voltage changes during transient events in low-inertia DC grids. While methods have been proposed to implement virtual inertia, its impact on DC grid stability in the…

Systems and Control · Electrical Eng. & Systems 2023-02-09 Hao Tu , Hui Yu , Srdjan Lukic

Modern power systems increasingly demand converter-driven generation systems that integrate seamlessly with grid infrastructure. Grid-based converters are particularly advantageous, as they operate in harmony with conventional synchronous…

Systems and Control · Electrical Eng. & Systems 2024-09-19 Somayeh Mehri Boroojeni , Ehsan Sharafoddin

This paper presents a critical review of methods commonly employed in the literature for small signal stability analysis of inverter based resources (IBRs). It discusses the intended purposes of these methods and outlines both their proper…

Systems and Control · Electrical Eng. & Systems 2025-10-24 Anton A. Stoorvogel , Saeed Lotfifard , Ali Saberi

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

Small-signal instability issues of interconnected converter systems can be addressed by the impedance-based stability analysis method, where the impedance ratio at the point of common connection of different subsystems can be regarded as…

Systems and Control · Computer Science 2019-09-05 Yicheng Liao , Xiongfei Wang

In this paper we are interested in the problem of adaptive synchronization of a voltage source converter with a possibly weak grid with unknown angle and frequency, but knowledge of its parameters. To guarantee a suitable synchronization…

Systems and Control · Electrical Eng. & Systems 2022-01-17 Daniele Zonetti , Alexey Bobtsov , Romeo Ortega , Nikolay Nikolaev , Oriol Gomis-Bellmunt

Power grids are undergoing major changes from a few large producers to smart grids build upon renewable energies. Mathematical models for power grid dynamics have to be adapted to capture, when dynamic nodes can achieve synchronization to a…

Dynamical Systems · Mathematics 2018-07-11 Christian Kuehn , Sebastian Throm

Integration of distributed energy resources has created a need for autonomous, dynamic voltage regulation. Decentralized Volt-VAr Control (VVC) of grid-connected inverters presents a unique opportunity for voltage management but, if…

Systems and Control · Electrical Eng. & Systems 2025-10-17 Daniel Russell , Dakota Hamilton , Mads R. Almassalkhi , Hamid R. Ossareh