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A novel wide-area control design is presented to mitigate inter-area power frequency oscillations. A large-scale power system is decomposed into a network of passivity-short subsystems whose nonlinear interconnections have a state-dependent…

Systems and Control · Electrical Eng. & Systems 2021-01-21 Ying Xu , Zhihua Qu , Roland Harvey , Toru Namerikawa

In this article, we discuss the stability of soft quasicrystalline phases in a coupled-mode Swift-Hohenberg model for three-component systems, where the characteristic length scales are governed by the positive-definite gradient terms.…

Soft Condensed Matter · Physics 2016-04-20 Kai Jiang , Jiajun Tong , Pingwen Zhang

The small-signal stability is an integral part of the power system security analysis. The introduction of renewable source related uncertainties is making the stability assessment difficult as the equilibrium point is varying rapidly. This…

Optimization and Control · Mathematics 2018-11-12 Parikshit Pareek , Konstantin Turitsyn , Krishnamurthy Dvijotham , Hung D. Nguyen

This paper presents a unified modeling, control, and estimation framework for the quadruple-tank process, a benchmark multivariable system that exhibits either minimum phase or nonminimum phase behavior depending on valve flow ratios. A…

Systems and Control · Electrical Eng. & Systems 2025-07-09 Moh Kamalul Wafi , Bambang L. Widjiantoro

We present a systematic method for designing distributed generation and demand control schemes for secondary frequency regulation in power networks such that stability and an economically optimal power allocation can be guaranteed. A…

Optimization and Control · Mathematics 2017-03-03 Andreas Kasis , Nima Monshizadeh , Eoin Devane , Ioannis Lestas

As a consequence of the transition to distributed and renewable energy systems, some distribution system operators are increasingly concerned about power quality, including steady-state voltage volatility. In this paper, we study the…

Systems and Control · Electrical Eng. & Systems 2022-12-14 Jaimie Swartz , Elizabeth Ratnam , Abhishek Bhardwaj , Alexandra von Meier

The van der Waals (vdW) density functional (vdW-DF) method [ROPP 78, 066501 (2015)] describes dispersion or vdW binding by tracking the effects of an electrodynamic coupling among pairs of electrons and their associated exchange-correlation…

Strongly Correlated Electrons · Physics 2018-02-21 Yang Jiao , Elsebeth Schröder , Per Hyldgaard

This article proposes a data-driven framework to verify the distributed conditions that guarantee the system-wide stability for interconnected power systems. To guarantee system wide stability, the dynamics of each bus are required to…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Xiaohui Zhang , Liaoyuan Yang , Peng Yang

This paper demonstrates the concept of probabilistic stability assessment on large-signal stability in the use case of short circuits in an active distribution grid. Here, the concept of survivability is applied, which extends classical…

Systems and Control · Electrical Eng. & Systems 2021-06-18 Sebastian Liemann , Lia Strenge , Paul Schultz , Holm Hinners , Johannis Porst , Marcel Sarstedt , Frank Hellmann

The output impedance matrix of a grid-connected converter plays an important role in analyzing system stability. Due to the dynamics of the DC-link control and the phase locked loop (PLL), the output impedance matrices of the converter and…

Systems and Control · Computer Science 2017-06-20 Huanhai Xin , Ziheng Li , Wei Dong , Leiqi Zhang , Zhen Wang , Jian Zhao

The increasing penetration of converter-interfaced distributed energy resources has brought out the need to develop decentralized criteria that would ensure the small-signal stability of the inter-connected system. Passivity of the D-Q…

Systems and Control · Electrical Eng. & Systems 2021-12-01 Kaustav Dey , A. M. Kulkarni

In a power grid with growing penetrations of renewable energy sources, inverters play a larger role in the dynamic interactions among network components. However, much is yet to be studied regarding inverter-dominated grid stability. This…

Systems and Control · Electrical Eng. & Systems 2023-11-22 Ruth Kravis , Gabriel Colon-Reyes , Duncan Callaway

We propose a framework employing stochastic differential equations to facilitate the long-term stability analysis of power grids with intermittent wind power generations. This framework takes into account the discrete dynamics which play a…

Systems and Control · Computer Science 2017-03-10 Xiaozhe Wang , Tao Wang , Hsiao-Dong Chiang , Jianhui Wang , Hui Liu

Voltage stability is a critical feature of an efficiently operating power distribution system such as a DC islanded microgrid. Large-scale autonomous power systems can be defined by heterogeneous elements, uncertainty and changing…

Systems and Control · Computer Science 2018-03-21 Daniel O'Keeffe , Stefano Riverso , Laura Albiol-Tendillo , Gordon Lightbody

This paper proposes a method for the Harmonic Stability Assessment (HSA) of power systems with a high share of Converter-Interfaced Distributed Energy Resources (CIDERs). To this end, the Harmonic State-Space (HSS) model of a generic power…

Systems and Control · Electrical Eng. & Systems 2024-08-13 Johanna Kristin Maria Becker , Andreas Martin Kettner , Mario Paolone

This note explores the extension of D-stability to non-square matrices, applicable to distributed/decentralized controllability analysis. We first present a definition of D-stability for non-square matrices, directly extending from square…

Optimization and Control · Mathematics 2024-06-25 Yuhao Tong , Steven W. Su

This paper studies a fundamental relation that exists between stabilizability assumptions usually employed in distributed model predictive control implementations, and the corresponding notions of invariance implicit in such controllers.…

Systems and Control · Computer Science 2016-11-03 Bernardo Hernandez , Pablo Baldivieso , Paul Trodden

The constantly increasing number of power generation devices based on renewables is calling for a transition from the centralized control of electrical distribution grids to a distributed control scenario. In this context, distributed…

Other Computer Science · Computer Science 2013-11-28 Riccardo Bonetto , Stefano Tomasin , Michele Rossi

The study of dynamical large deviations allows for a characterization of stationary states of lattice gas models out of equilibrium conditioned on averages of dynamical observables. The application of this framework to the two-dimensional…

Statistical Mechanics · Physics 2021-11-05 Ricardo Gutiérrez , Carlos Pérez-Espigares

We investigate a two-dimensional transmission model consisting of a wave equation and a Kirchhoff plate equation with dynamical boundary controls under geometric conditions. The two equations are coupled through transmission conditions…

Analysis of PDEs · Mathematics 2023-10-10 Zahraa Abdallah , Stéphane Gerbi , Chiraz Kassem , Ali Wehbe