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We propose a generalized dynamic phasor (DP) framework to analyze inverter-based resources (IBRs) connected to multi-machine systems under balanced and unbalanced conditions. It captures subsynchronous oscillations (SSOs) induced by…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Fiaz Hossain , Nilanjan Ray Chaudhuri , Constantino M. Lagoa

Multiple operational constraints of power system stability are derived analytically and reformulated into Second-Order Cone (SOC) form through a unification method in Part I of this paper. The accuracy and conservativeness of the proposed…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Zhongda Chu , Fei Teng

The changes in the electric energy system toward a sustainable future are inevitable and already on the way today. This often entails a change of paradigm for the electric energy grid, for example, the switch from central to decentralized…

Systems and Control · Electrical Eng. & Systems 2023-10-10 David Fellner , Thomas I. Strasser , Wolfgang Kastner , Feizifar Behnam , Ibrahim F. Abdulhadi

Principal component analysis (PCA) is a widely used method for data processing, such as for dimension reduction and visualization. Standard PCA is known to be sensitive to outliers, and thus, various robust PCA methods have been proposed.…

Machine Learning · Statistics 2020-08-11 Keishi Sando , Hideitsu Hino

In this paper, we mainly investigate an integrated system operating under a software defined network (SDN) protocol. SDN is a new networking paradigm in which network intelligence is centrally administered and data is communicated via…

Optimization and Control · Mathematics 2018-12-04 Cheng Tan , Wing Shing Wong , Huanshui Zhang

Efficient analysis and simulation of multiscale stochastic systems of chemical kinetics is an ongoing area for research, and is the source of many theoretical and computational challenges. In this paper, we present a significant improvement…

Numerical Analysis · Mathematics 2016-09-21 Simon Cotter

Many control and detection applications require real-time analysis of signals from sensors, in order to quickly and accurately act upon events revealed by the sensors. Such signal analysis benefits from statistical models of signal and…

The classical stability margin analysis based on the linearized model is widely used in practice even in nonlinear systems. Although linear analysis techniques are relatively standard and have simple implementation structures, they are…

Systems and Control · Electrical Eng. & Systems 2024-06-25 Jinrui Ren , Quan Quan

This paper develops a framework for synthesizing safety controllers for discrete-time stochastic linear control systems (dt-SLS) operating under communication imperfections. The control unit is remote and communicates with the sensor and…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Omid Akbarzadeh , Mohammad H. Mamduhi , Abolfazl Lavaei

The accelerating growth of computational demand in modern data centers has further heightened the need for power infrastructures that are highly reliable, environmentally sustainable, and capable of supporting grid stability. Small Modular…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Sobhan Badakhshan , Roshni Anna Jacob , Ali Mahboub Rad , Chao Pan , Yaoyu Li , Jie Zhang

This paper studies input-to-state stability (ISS) of general nonlinear time-delay systems subject to delay-dependent impulse effects. Sufficient conditions for ISS are constructed by using the method of Lyapunov functionals. It is shown…

Optimization and Control · Mathematics 2022-06-09 Xinzhi Liu , Kexue Zhang

Time-based dynamic models of cascading failures have been recognized as one of the most comprehensive methods of representing detailed cascading information and are often used for benchmarking and validation. This paper provides an overview…

Systems and Control · Electrical Eng. & Systems 2022-07-08 Yitian Dai , Robin Preece , Mathaios Panteli

This paper presents a guided tour of some specific problems encountered in the stability analysis of linear dynamical systems including delays in their systems' representation. More precisely, we will address the characterization of…

Optimization and Control · Mathematics 2021-12-07 Silviu-Iulian Niculescu , Islam Boussaada , Xu-Guang Li , Guilherme Mazanti , César-Fernando Méndez-Barrios

Local and inter-area oscillations in bulk power systems are typically identified using spatial profiles of poorly damped modes, and they are mitigated via carefully tuned decentralized controllers. In this paper, we employ non-modal tools…

Optimization and Control · Mathematics 2017-05-16 Xiaofan Wu , Florian Dörfler , Mihailo R. Jovanović

Input-to-state stability (ISS) allows estimating the impact of inputs and initial conditions on both the intermediate values and the asymptotic bound on the solutions. ISS has unified the input-output and Lyapunov stability theories and is…

Optimization and Control · Mathematics 2023-02-02 Andrii Mironchenko

It is known that input-output approaches based on scaled small-gain theorems with constant $D$-scalings and integral linear constraints are non-conservative for the analysis of some classes of linear positive systems interconnected with…

Optimization and Control · Mathematics 2017-03-02 Corentin Briat

This paper presents a novel Short-Term Voltage Stability Index (STVSI), which leverages Lyapunov Exponent-based detection to assess and quantify short-term stability triggered by Over Excitation Limiters (OELs) or undamped oscillations in…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Mohammad Almomani , Muhammad Sarwar , Venkataramana Ajjarapu

The operating status of power systems is influenced by growing varieties of factors, resulting from the developing sizes and complexity of power systems; in this situation, the modelbased methods need be revisited. A data-driven method, as…

Methodology · Statistics 2016-07-07 Xinyi Xu , Xing He , Qian Ai , Robert C. Qiu

Cascading failures in power systems caused by sequential tripping of components are a serious concern as they can lead to complete or partial shutdowns, disrupting vital services and causing damage and inconvenience. In prior work, we…

Systems and Control · Electrical Eng. & Systems 2026-03-12 Wasseem Al-Rousan , Caisheng Wang , Feng Lin

The short-term voltage stability (SVS) problem in large-scale receiving-end power systems is serious due to the increasing load demand, the increasing use of electronically controlled loads and so on. Some serious blackouts are considered…

Systems and Control · Computer Science 2017-02-23 Wenlu Zhao
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