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This paper proposes a data-driven algorithm of locating the source of forced oscillations and suggests the physical interpretation of the method. By leveraging the sparsity of the forced oscillation sources along with the low-rank nature of…

信号处理 · 电气工程与系统科学 2019-08-28 Tong Huang , Nikolaos M. Freris , P. R. Kumar , Le Xie

Conventional weak-coupling Rayleigh-Schr\"odinger perturbation theory suffers from problems that arise from resonant coupling of successive orders in the perturbation series. Multiple-scale analysis, a powerful and sophisticated…

高能物理 - 理论 · 物理学 2009-10-30 Carl M. Bender , Luis M. A. Bettencourt

Modern power systems increasingly rely on power electronic converters, yet many of these devices are provided as black-box models, limiting the applicability of conventional small-signal analysis (SSA) tools. This work presents a unified…

The diffusion of nonlinear loads and power electronic devices in power systems deteriorates the signal environment and increases the difficulty of measuring harmonic phasors. Considering accurate harmonic phasor information is necessary to…

信号处理 · 电气工程与系统科学 2022-11-17 Dongfang Zhao , Shisong Li , Fuping Wang , Wei Zhao , Songling Huang , Qing Wang

Power electronic devices such as HVDC and FACTS can be used to improve the damping of poorly damped inter-area modes in large power systems. This involves the use of wide-area feedback signals, which are transmitted via communication…

系统与控制 · 电气工程与系统科学 2022-11-17 K. K. Gajjar , Kaustav Dey , A. M. Kulkarni

This paper proposes a new approach to perform small-signal stability analysis based on linearization of implicit multilinear models. Multilinear models describe the system dynamics by multilinear functions of state, input, and algebraic…

系统与控制 · 电气工程与系统科学 2026-03-10 Christoph Kaufmann , Georg Pangalos , Gerwald Lichtenberg , Oriol Gomis-Bellmunt

We present highly accurate and easy to implement, improved lumped semiconductor optical amplifier (SOA) models for both single-pass and reflective semiconductor optical amplifiers (RSOA). The key feature of the model is the inclusion of the…

光学 · 物理学 2014-09-09 Seán P. Ó Dúill , Liam P. Barry

A noisy damping parameter in the equation of motion of a nonlinear oscillator renders the fixed point of the system unstable when the amplitude of the noise is sufficiently large. However, the stability diagram of the system can not be…

混沌动力学 · 物理学 2016-08-16 Nicolas Leprovost , Sébatien Aumaitre , Kirone Mallick

Transient stability analysis (TSA) plays an important role in power system analysis to investigate the stability of power system. Traditionally, transient stability analysis methods have been developed using time domain simulation by means…

系统与控制 · 电气工程与系统科学 2021-06-08 Xiang Zhang , Renchang Dai , Peng Wei , Yijing Liu , Guangyi Liu , Zhiwei Wang

Mechanical spectroscopy, i.e. cyclic deformations at varying frequencies, is used theoretically and numerically to measure dissipation in model glasses. From a normal mode analysis, we show that in the high-frequency THz regime where…

材料科学 · 物理学 2017-02-22 T. Damart , A. Tanguy , D. Rodney

Dynamic state and parameter estimation methods for dynamic security assessment in power systems are becoming increasingly important for system operators. Usually, the data used for this type of applications stems from phasor measurement…

系统与控制 · 电气工程与系统科学 2022-09-01 Nicolai Lorenz-Meyer , René Suchantke , Johannes Schiffer

We investigate energy transfer and localization in a linear time-invariant oscillator chain weakly coupled to a forced nonlinear actuator. Two types of perturbation are studied: (1) harmonic forcing with a constant frequency is applied to…

斑图形成与孤子 · 物理学 2015-01-06 Agnessa Kovaleva

Non-stationary signals are ubiquitous in real life. Many techniques have been proposed in the last decades which allow decomposing multi-component signals into simple oscillatory mono-components, like the groundbreaking Empirical Mode…

数值分析 · 数学 2024-01-30 Giovanni Barbarino , Antonio Cicone

In this paper, the joint support recovery of several sparse signals whose supports present similarities is examined. Each sparse signal is acquired using the same noisy linear measurement process, which returns fewer observations than the…

信息论 · 计算机科学 2017-02-20 Jean-François Determe , Jérôme Louveaux , Laurent Jacques , François Horlin

We are interested in optimally driving a dynamical system that can be influenced by exogenous noises. This is generally called a Stochastic Optimal Control (SOC) problem and the Dynamic Programming (DP) principle is the natural way of…

最优化与控制 · 数学 2010-12-16 Kengy Barty , Pierre Carpentier , Guy Cohen , Pierre Girardeau

Following the previous work [1], we investigate the impact of damping on the oscillation of smooth solutions to some kind of quasilinear wave equations with Robin and Dirichlet boundary condition. By using generalized Riccati transformation…

偏微分方程分析 · 数学 2020-07-07 Ying Sui , Huimin Yu

Multiple types of Nyquist-like impedance-based criteria are utilized for the small-signal stability analysis of converter-based AC systems. It is usually considered that the determinant-based criterion can determine the overall stability of…

系统与控制 · 电气工程与系统科学 2023-10-11 Chongbin Zhao , Qirong Jiang , Yixin Guo

In this article, we investigate the problem of exponential stabilization via output feedback for a cascaded system composed of an ordinary differential equation (ODE) and a wave partial differential equation (PDE) under boundary control.…

最优化与控制 · 数学 2026-05-12 Zhan-Dong Mei , Lan-Xi Tang

We present a new technique for verifying nonlinear and hybrid models with inputs. We observe that once an input signal is fixed, the sensitivity analysis of the model can be computed much more precisely. Based on this result, we propose a…

系统与控制 · 计算机科学 2018-03-09 Chuchu Fan , Yu Meng , Jürgen Maier , Ezio Bartocci , Sayan Mitra , Ulrich Schmid

Robust simulation is essential for reliable operation and planning of transmission and distribution power grids. At present, disparate methods exist for steady-state analysis of the transmission (power flow) and distribution power grid…

信号处理 · 电气工程与系统科学 2018-08-10 Amritanshu Pandey , Marko Jereminov , Martin R. Wagner , David M. Bromberg , Gabriela Hug , Larry Pileggi