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This paper derives distributed conditions that guarantee the system-wide stability for power systems with nonlinear and heterogeneous bus dynamics interconnected via power network. Our conditions require each bus dynamics should satisfy…

Systems and Control · Electrical Eng. & Systems 2019-10-31 Peng Yang , Feng Liu , Zhaojian Wang , Chen Shen

The stability issue emerges as a growing number of diverse power apparatus connecting to the power system. The stability analysis for such power systems is required to adapt to heterogeneity and scalability. This paper derives a local…

Systems and Control · Electrical Eng. & Systems 2019-08-05 Peng Yang , Feng Liu , Zhaojian Wang , Chen Shen , Jun Yi , Weifang Lin

Passivity indices have been widely adopted to derive distributed stability certificates for power systems. Nevertheless, conventional passivity indices remain scalar-valued even for multi-input-multi-output (MIMO) systems, which can…

Systems and Control · Electrical Eng. & Systems 2026-05-07 Xi Ru , Cong Fu , Zhongze Li , Xiaoyu Peng , Feng Liu

We propose an input-output data-driven framework for certifying the stability of interconnected multiple-input-multiple-output linear time-invariant discrete-time systems via QSR-dissipativity. That is, by using measured input-output…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Alejandra Sandoval-Carranza , Juan E. Machado , Johannes Schiffer

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

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

During the last decades, significant advances have been made in the area of power system stability and control. Nevertheless, when this analysis is carried out by means of decentralized conditions in a general network, it has been based on…

Optimization and Control · Mathematics 2018-09-27 Chrysovalantis Spanias , Ioannis Lestas

The dynamic response of power grids to small events or persistent stochastic disturbances influences their stable operation. Low-frequency inter-area oscillations are of particular concern due to insufficient damping. This paper studies the…

Optimization and Control · Mathematics 2022-04-20 Manish K. Singh , Vassilis Kekatos

In this paper, we consider the problem of voltage stability in DC networks containing uncertain loads with non-monotone incremental impedances and where the steady-state power availability is restricted to a subset of the buses in the…

Systems and Control · Electrical Eng. & Systems 2024-05-01 Albertus Johannes Malan , Joel Ferguson , Michele Cucuzzella , Jacquelien M. A. Scherpen , Sören Hohmann

This paper presents a novel framework for stabilizing nonlinear systems represented in state-dependent form. We first reformulate the nonlinear dynamics as a state-dependent parameter-varying model and synthesize a stabilizing controller…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Lidong Li , Rui Huang , Lin Zhao

This paper investigates the problem of data-driven stabilization for linear discrete-time switched systems with unknown switching dynamics. In the absence of noise, a data-based state feedback stabilizing controller can be obtained by…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Wenjie Liu , Yifei Li , Jian Sun , Gang Wang , Jie Chen

Operating modern power grids with stability guarantees is admittedly imperative. Classic stability methods are not well-suited for these dynamic systems as they involve centralized gathering of information and computation of the system's…

Systems and Control · Electrical Eng. & Systems 2020-03-18 Stefanos Baros , Andrey Bernstein , Nikos Hatziargyriou

We present a method to design distributed generation and demand control schemes for primary frequency regulation in power networks that guarantee asymptotic stability and ensure fairness of allocation. We impose a passivity condition on net…

Optimization and Control · Mathematics 2016-02-10 Andreas Kasis , Eoin Devane , Ioannis Lestas

Monitoring the long term voltage stability of the power grid is necessary to ensure its secure operation. This paper presents a new phasor based methodology that distinguishes between long term voltage stability caused by distribution…

Optimization and Control · Mathematics 2018-09-28 Amarsagar Reddy Ramapuram Matavalam , Ankit Singhal , Venkataramana Ajjarapu

We consider the problem of ensuring stability in a DC microgrid by means of decentralized conditions. Such conditions are derived which are formulated as input-output properties of locally defined subsystems. These follow from various…

Optimization and Control · Mathematics 2022-08-17 Khaled Laib , Jeremy Watson , Yemi Ojo , Ioannis Lestas

This is the second part of a two-part paper on data-based distributionally robust stochastic optimal power flow (OPF). The general problem formulation and methodology have been presented in Part I [1]. Here, we present extensive numerical…

Optimization and Control · Mathematics 2018-10-29 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler H. Summers

Accurately modeling power distribution grids is crucial for designing effective monitoring and decision making algorithms. This paper addresses the partial observability issue of data-driven distribution modeling in order to improve the…

Signal Processing · Electrical Eng. & Systems 2021-10-08 Shanny Lin , Hao Zhu

This paper addresses the stability analysis and state estimation of generalized Persidskii systems subject to time-varying delays and external disturbances. The generalized Persidskii class, which couples linear dynamics with sector-bounded…

Systems and Control · Electrical Eng. & Systems 2026-05-04 Syed Pouladi

We consider the problem of distributed secondary frequency regulation in power networks such that stability and an optimal power allocation are attained. This is a problem that has been widely studied in the literature, and two main control…

Optimization and Control · Mathematics 2020-08-12 Andreas Kasis , Nima Monshizadeh , Ioannis Lestas

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
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