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In this technical note, we study the mean square stability-based analysis of stochastic continuous-time linear networked systems. The stochastic uncertainty is assumed to enter multiplicatively in system dynamics through input and output…

Optimization and Control · Mathematics 2018-02-09 Sai Pushpak , Amit Diwadkar , Umesh Vaidya

We address the problem of detecting the number of complex exponentials and estimating their parameters from a noisy signal using the Matrix Pencil (MP) method. We introduce the MP modes and present their informative spectral structure. We…

Signal Processing · Electrical Eng. & Systems 2025-09-30 Yehonatan-Itay Segman , Alon Amar , Ronen Talmon

Developing a unified small-signal model for modern, large-scale power systems that remains accurate across a wide range of operating ranges presents a formidable challenge. Traditional methods, spanning mechanistic modeling, modal…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Weicheng Liu , Di Liu , Songyan Zhang , Chao Lu

Considering increasing distributed energy resources and responsive loads in smart grid, this paper proposes a stochastic simulation approach for stability analysis of a power system having stochastic loads. The proposed approach solves a…

Systems and Control · Computer Science 2021-03-29 Nan Duan , Kai Sun

Unprecedented dynamic phenomena may appear in power grids due to higher and higher penetration of inverter-based resources (IBR), e.g., wind and solar photovoltaic (PV). A major challenge in dynamic modeling and analysis is that unlike…

Systems and Control · Electrical Eng. & Systems 2020-03-10 Lingling Fan , Zhixin Miao

The dynamic behaviour of a power system can be described by a system of differential-algebraic equations. Time-domain simulations are used to simulate the evolution of these dynamics. They often require the use of small time step sizes and…

Systems and Control · Electrical Eng. & Systems 2024-07-08 Jochen Stiasny , Baosen Zhang , Spyros Chatzivasileiadis

Time domain simulation is the basis of dynamic security assessment for power systems. Traditionally, numerical integration methods are adopted by simulation software to solve nonlinear power system differential-algebraic equations about any…

Systems and Control · Computer Science 2018-04-23 Bin Wang , Nan Duan , Kai Sun

The increasing number of inverter based resources (IBRs) connected to modern power systems necessitate accurate modeling of IBRs in stability studies. Measurement-based modeling approaches can create an impedance/admittance model of IBRs to…

Systems and Control · Electrical Eng. & Systems 2022-07-28 Sushrut Thakar , Deepak Ramasubramanian

This paper studies the numerical deformation that time-domain integration (TDI) methods introduce to the shape of the coupling between the dynamic modes and variables of power system models. To this aim, we employ a small-signal stability…

Numerical Analysis · Mathematics 2023-04-11 Carlo Tajoli , Georgios Tzounas , Gabriela Hug

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

The expected decrease in system inertia and frequency stability motivates the development and maintenance of dynamic system models by Transmission System Operators. However, some dynamic model parameters can be unavailable due to market…

Signal Processing · Electrical Eng. & Systems 2025-05-27 Dawn Virginillo , Asja Derviškadić , Mario Paolone

Due to the evolving nature of power grids and model uncertainty, the online stability assessment of electrical power systems is always a challenging problem. This paper aims to provide a theoretical framework for estimating the region of…

Systems and Control · Electrical Eng. & Systems 2019-11-26 Chao Zhai

This paper proposes a novel Gronwall inequality-based method for transient stability assessment for power systems. The challenges of applying such methods to power systems are how to construct the differential inequality and how to treat…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Qian Zhang , Deqiang Gan

This paper presents a novel method for transient stability analysis (TSA) that circumvents the limitations of sequential numerical integration and energy functions. The proposed method begins by constructing a trajectory-dependent stability…

Systems and Control · Electrical Eng. & Systems 2025-11-18 Wenhao Wu , Dan Wu , Bin Wang , Jiabing Hu

Nonlinear modal decoupling (NMD) was recently proposed to nonlinearly transform a multi-oscillator system into a number of decoupled oscillators which together behave the same as the original system in an extended neighborhood of the…

Systems and Control · Computer Science 2018-11-12 Bin Wang , Kai Sun , Xin Xu

Several difficulties will appear when typical electromagnetic transient simulation, using the implicit trapezoidal method and fixed step sizes, is applied to power systems with switching behaviors. These difficulties are addressed by…

Systems and Control · Electrical Eng. & Systems 2022-03-30 Sheng Lei

The increasing penetration of renewable energy leads to a continuous reduction in system inertia, for which conventional synchronization criteria based solely on frequency consistency can no longer accurately capture the coupled dynamics of…

Systems and Control · Electrical Eng. & Systems 2025-11-24 Yusen Wei , Lan Tang , Peidong Li

This paper presents for the first time, to our knowledge, a framework for verifying neural network behavior in power system applications. Up to this moment, neural networks have been applied in power systems as a black-box; this has…

Systems and Control · Electrical Eng. & Systems 2020-07-31 Andreas Venzke , Spyros Chatzivasileiadis

One of the fundamental concerns in the operation of modern power systems is the assessment of their frequency stability in case of inertia-reduction induced by the large share of power electronic interfaced resources. Within this context,…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Francesco Conte , Stefano Massucco , Mario Paolone , Giacomo-Piero Schiapparelli , Federico Silvestro , Yihui Zuo

As power systems evolve with the increasing integration of renewable energy sources and smart grid technologies, there is a growing demand for flexible and scalable modeling approaches capable of capturing the complex dynamics of modern…

Systems and Control · Electrical Eng. & Systems 2025-04-08 Amir Bahador Javadi , Philip Pong