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The perspective of statistical state dynamics (SSD) has recently been applied to the study of mechanisms underlying turbulence in various physical systems. An example implementation of SSD is the second order closure referred to as…

In this paper, a wide-area measurement system (WAMS)-based method is proposed to estimate the system state matrix for AC system with integrated voltage source converters (VSCs) and identify the electromechanical modes. The proposed method…

Signal Processing · Electrical Eng. & Systems 2020-06-30 Jinpeng Guo , Xiaozhe Wang , Boon-Teck Ooi

The suitability of the QDL method for analyzing the performance of ac power systems has been evaluated by application to a microgrid. The QDL method is based on a combination of Quantized State Systems (QSS) methods and the Latency…

Systems and Control · Electrical Eng. & Systems 2023-02-28 Navid Gholizadeh , Joseph M. Hood , Roger A. Dougal

The behaviour of a space-modulated, so-called "argumental" oscillator is studied, which is represented by a model having an even-parity space-modulating function. Analytic expressions of a stability criterion and of discrete energy levels…

Chaotic Dynamics · Physics 2016-06-30 Daniel Cintra , Pierre Argoul

Buses are a vital component of metropolitan public transport, yet conventional bus services often struggle with inefficiencies including extended dwelling time, which increases in-vehicle travel time for non-alighting passengers. A…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Haoran Zhao , Neema Nassir , Andres Fielbaum

Increased connectivity and remote reprogrammability/reconfigurability features of embedded devices in current-day power systems (including interconnections between information technology -- IT -- and operational technology -- OT --…

Systems and Control · Electrical Eng. & Systems 2024-06-19 Prashanth Krishnamurthy , Ali Rasteh , Ramesh Karri , Farshad Khorrami

The paper proposes a new adaptive approach to power system model reduction for fast and accurate time-domain simulation. This new approach is a compromise between linear model reduction for faster simulation and nonlinear model reduction…

Systems and Control · Computer Science 2017-11-13 Denis Osipov , Kai Sun

A method is proposed to identify and localize the cause of network collapse with augmented power flow analysis for a grid model with insufficient resources. Owing to heavy network loading, insufficient generation, component failures and…

Signal Processing · Electrical Eng. & Systems 2019-11-14 Shimiao Li , Amritanshu Pandey , Aayushya Agarwal , Marko Jereminov , Larry Pileggi

Accurate frequency estimation is critical for the control, monitoring and protection of electrical power systems, in particular, of systems with a high penetration of power electronics. This paper introduces the novel concept of Quasi…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Joan Gutierrez-Florensa , Alvaro Ortega , Lukas Sigrist , Federico Milano

In this paper, pseudo-transient continuation method has been modified and implemented in power system long-term stability analysis. This method is a middle ground between integration and steady state calculation, thus is a good compromise…

Systems and Control · Computer Science 2016-11-18 Xiaozhe Wang , Hsiao-Dong Chiang

Online transient stability assessment (TSA) is essential for secure and stable power system operations. The growing number of Phasor Measurement Units (PMUs) brings about massive sources of data that can enhance online TSA. However,…

Systems and Control · Electrical Eng. & Systems 2021-12-16 Rui Ma , Sara Eftekharnejad , Chen Zhong , Mustafa Cenk Gursoy

We present a method for the steady state optimization of nonlinear delay differential equations. The method ensures stability and robustness, where a system is called robust if it remains stable despite uncertain parameters. Essentially, we…

Optimization and Control · Mathematics 2019-03-14 Jonas Otten , Martin Mönnigmann

We consider the problem of optimizing the steady state of a dynamical system in closed loop. Conventionally, the design of feedback optimization control laws assumes that the system is stationary. However, in reality, the dynamics of the…

Optimization and Control · Mathematics 2020-05-11 Sandeep Menta , Adrian Hauswirth , Saverio Bolognani , Gabriela Hug , Florian Dörfler

Motivated by the central phenomenon of energy cascades in wave turbulence theory, we construct non-equilibrium statistical steady states (NESS), or invariant measures, for a simplified model derived from the nonlinear Schr\"odinger (NLS)…

Probability · Mathematics 2025-05-23 Zaher Hani , Yao Li , Andrea Nahmod , Gigliola Staffilani

The recently introduced structured input-output analysis is a powerful method for capturing nonlinear phenomena associated with incompressible flows, and this paper extends that method to the compressible regime. The proposed method relies…

Fluid Dynamics · Physics 2025-03-06 Diganta Bhattacharjee , Talha Mushtaq , Peter Seiler , Maziar S. Hemati

In this paper one first shows that the slow flow of a mechanical system with one unstable mode coupled to a Nonlinear Energy Sink (NES) can be reduced, in the neighborhood of a fold point of its critical manifold, to a normal form of the…

Chaotic Dynamics · Physics 2026-05-27 Baptiste Bergeot

This paper aims to proactively diagnose and manage frequency instability risks from a steady-state perspective, without the need for derivative-dependent transient modeling. Specifically, we jointly address two questions (Q1) Survivability:…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Swadesh Vhakta , Denis Osipov , Reetam Sen Biswas , Amritanshu Pandey , Seyyedali Hosseinalipour , Shimiao Li

Power systems must maintain the frequency within acceptable limits when subjected to a disturbance. To ensure this, the most significant credible disturbance in the system is normally used as a benchmark to allocate the Primary Frequency…

Dynamical Systems · Mathematics 2023-11-28 Alinane B. Kilembe Panagiotis N. Papadopoulos

Significant outages from weather and climate extremes have highlighted the critical need for resilience-centered risk management of the grid. This paper proposes a multi-stage stochastic robust optimization (SRO) model that advances the…

Multiagent Systems · Computer Science 2022-05-24 Nariman L. Dehghani , Abdollah Shafieezadeh

We consider the problem of estimating the states in an unobservable power system. To this end, we propose novel graph signal processing (GSP) methods. For simplicity, we start with analyzing the DC power flow (DC-PF) model and then extend…

Signal Processing · Electrical Eng. & Systems 2022-01-13 Lital Dabush , Ariel Kroizer , Tirza Routtenberg