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In this article, we investigate small-signal frequency and DC voltage stability of hybrid AC/DC power systems that combine AC and DC transmission, conventional machine- based generation, and converter-interfaced generation. The main…

Systems and Control · Electrical Eng. & Systems 2025-09-26 Dahlia Saba , Dominic Groß

We consider a basic model of a dynamical distribution network, modeled as a directed graph with storage variables corresponding to every vertex and flow inputs corresponding to every edge, subject to unknown but constant inflows and…

Optimization and Control · Mathematics 2014-03-21 Jieqiang Wei , Arjan J. van der Schaft

We search for steady states in a class of fluctuating and driven physical systems that exhibit sustained currents. We find that the physical concept of a steady state, well known for systems at equilibrium, must be generalised to describe…

Soft Condensed Matter · Physics 2020-04-15 Tanniemola B. Liverpool

In this paper, we consider a time-headway model, introduced in Physica A 296:320 (2001), for buses on a bus route. By including a simple no-passing rule, we are able to enumerate and study the unstable modes of a homogeneous system. We then…

Statistical Mechanics · Physics 2009-11-10 Scott A. Hill

This paper develops a novel framework for power system stability analysis, that allows for the decentralized design of inverter based controllers. The method requires that each individual inverter satisfies a standard $H^\infty$ design…

Optimization and Control · Mathematics 2016-12-20 Richard Pates , Enrique Mallada

This paper considers power networks governed by swing nonlinear dynamics and subject to disturbances. We develop a bilayered control strategy for a subset of buses that simultaneously guarantees transient frequency safety of each individual…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Yifu Zhang , Jorge Cortes

This work provides a design method for achieving a specified level of stability for inverter-based interconnected distributed generation. The stability of parallel connected distributed energy resources determined from a linearized…

Systems and Control · Computer Science 2016-11-17 Mahmood Saadeh , Roy McCann

This paper investigates the frequency control of multi-machine power systems subject to uncertain and dynamic net loads. We propose distributed internal model controllers that coordinate synchronous generators and demand response to tackle…

Systems and Control · Computer Science 2020-01-10 Hunmin Kim , Minghui Zhu , Jianming Lian

Classical sufficient conditions for ensuring the robust stability of a dynamical system in feedback with a nonlinearity include passivity, small gain, circle, and conicity theorems. We present a generalized version of these results for…

Optimization and Control · Mathematics 2022-11-15 Saman Cyrus , Laurent Lessard

Conventionally, the dynamic state estimation of variables in power networks is performed based on the forecasting-aided model of bus voltages. This approach is effective in the stiff grids at the transmission level, where the bus voltages…

Systems and Control · Electrical Eng. & Systems 2021-10-26 Bang L. H. Nguyen , Tuyen V. Vu , Thomas H. Ortmeyer , Tuan Ngo

This work is concerned with interconnected networks with non-identical subsystems. We investigate the output consensus of the network where the dynamics are subject to external disturbance and/or reference input. For a network of…

Systems and Control · Electrical Eng. & Systems 2025-04-14 Yongkang Su , Lanlan Su , Sei Zhen Khong

In this work, a dynamic system is controlled by multiple sensor-actuator agents, each of them commanding and observing parts of the system's input and output. The different agents sporadically exchange data with each other via a common bus…

Systems and Control · Computer Science 2017-07-14 Michael Muehlebach , Sebastian Trimpe

This two-part paper proposes a compositional and equilibrium-free approach to analyzing power system stability. In Part I, we have established the stability theory and proposed stability conditions based on the delta dissipativity. In Part…

Systems and Control · Electrical Eng. & Systems 2025-06-16 Peng Yang , Yifan Su , Xiaoyu Peng , Hua Geng , Feng Liu

With the increasing penetration of Inverter-Based Resources (IBRs) and their impact on power system stability and operation, the concept of stability-constrained optimization has drawn significant attention from researchers. In order to…

Systems and Control · Electrical Eng. & Systems 2024-04-23 Zhongda Chu , Fei Teng

With the increase of uncertain and intermittent renewable energy supply on the grid, the power system has become more vulnerable to instability. In this paper, we develop a demand response strategy to improve power system small-signal…

Systems and Control · Electrical Eng. & Systems 2023-04-17 Mengqi Yao , Sandip Roy , Johanna L. Mathieu

This paper proposes a novel approach to estimate the steady-state angle stability limit (SSASL) by using the nonlinear power system dynamic model in the modal space. Through two linear changes of coordinates and a simplification introduced…

Systems and Control · Electrical Eng. & Systems 2020-05-25 Bin Wang , Le Xie , Slava Maslennikov , Xiaochuan Luo , Qiang Zhang , Mingguo Hong

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

It is necessary and important to operate buses and trams on time. The bus schedule is closely related to the dynamic motion of buses. In this part, we introduce the nonlinear maps for describing the dynamics of shuttle buses in the…

Physics and Society · Physics 2017-11-17 Takashi Nagatani

We analyze a power distribution line with high penetration of distributed generation and strong variations of power consumption and generation levels. In the presence of uncertainty the statistical description of the system is required to…

Optimization and Control · Mathematics 2010-06-02 Konstantin S. Turitsyn

A basic model of a dynamical distribution network is considered, modeled as a directed graph with storage variables corresponding to every vertex and flow inputs corresponding to every edge, subject to unknown but constant inflows and…

Optimization and Control · Mathematics 2014-03-24 Jieqiang Wei , Arjan van der Schaft