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The paper provides a novel framework to study the accuracy and stability of numerical integration schemes when employed for the time domain simulation of power systems. A matrix pencil-based approach is adopted to evaluate the error between…

系统与控制 · 电气工程与系统科学 2022-01-25 Georgios Tzounas , Ioannis Dassios , Federico Milano

The partitioned approach for the numerical integration of power system differential algebraic equations faces inherent numerical stability challenges due to delays between the computation of state and algebraic variables. Such delays can…

数值分析 · 数学 2024-12-17 Ahmad Ali , Haya Monawwar , Hantao Cui

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

This paper studies the semi-analytic solution (SAS) of a power system's differential-algebraic equation. A SAS is a closed-form function of symbolic variables including time, the initial state and the parameters on system operating…

动力系统 · 数学 2017-02-09 Nan Duan , Kai Sun

The real-time transient stability assessment (TSA) plays a critical role in the secure operation of the power system. Although the classic numerical integration method, \textit{i.e.} time-domain simulation (TDS), has been widely used in…

系统与控制 · 电气工程与系统科学 2022-05-16 Kaixuan Chen , Shunyu Liu , Na Yu , Rong Yan , Quan Zhang , Jie Song , Zunlei Feng , Mingli Song

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…

系统与控制 · 计算机科学 2018-04-23 Bin Wang , Nan Duan , Kai Sun

The paper focuses on the numerical stability and accuracy of implicit time-domain integration (TDI) methods when applied for the solution of a power system model impacted by time delays. Such a model is generally formulated as a set of…

系统与控制 · 电气工程与系统科学 2025-06-18 Andreas Bouterakos , Georgios Tzounas

This brief paper proposes an uncertainty quantification method for the periodic steady-state (PSS) analysis with both Gaussian and non-Gaussian variations. Our stochastic testing formulation for the PSS problem provides superior efficiency…

计算工程、金融与科学 · 计算机科学 2016-11-18 Zheng Zhang , Tarek A. El-Moselhy , Paolo Maffezzoni , Ibrahim , M. Elfadel , Luca Daniel

Dynamic simulation plays a crucial role in power system transient stability analysis, but traditional numerical integration-based methods are time-consuming due to the small time step sizes. Other semi-analytical solution methods, such as…

系统与控制 · 电气工程与系统科学 2025-03-14 Kaiyang Huang , Yang Liu , Kai Sun , Feng Qiu

This thesis proposes novel Small-Signal Stability Analysis (SSSA)-based techniques that contribute to electric power system modal analysis, automatic control, and numerical integration. Modal analysis is a fundamental tool for power system…

系统与控制 · 电气工程与系统科学 2021-11-03 Georgios Tzounas

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…

系统与控制 · 计算机科学 2021-03-29 Nan Duan , Kai Sun

This paper proposes a new semi-analytical approach for online time-domain power system simulation. The approach applies the differential transformation method (DTM) to the power system differential equation model to offline derive a…

动力系统 · 数学 2018-02-13 Yang Liu , Kai Sun

Deregulation of energy markets, penetration of renewables, advanced metering capabilities, and the urge for situational awareness, all call for system-wide power system state estimation (PSSE). Implementing a centralized estimator though is…

机器学习 · 统计学 2012-07-03 Vassilis Kekatos , Georgios B. Giannakis

Principal Subspace Analysis (PSA) -- and its sibling, Principal Component Analysis (PCA) -- is one of the most popular approaches for dimensionality reduction in signal processing and machine learning. But centralized PSA/PCA solutions are…

机器学习 · 计算机科学 2021-11-25 Arpita Gang , Bingqing Xiang , Waheed U. Bajwa

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…

系统与控制 · 电气工程与系统科学 2025-11-18 Wenhao Wu , Dan Wu , Bin Wang , Jiabing Hu

Linear Time Periodic (LTP) framework-based analysis of Voltage Source Converters (VSCs) is becoming popular, a driven factor is that many of the existing VSC applications inevitably exhibit the periodic steady-state (PSS), e.g., VSCs with…

系统与控制 · 电气工程与系统科学 2021-12-06 Chen Zhang , Jon Are Suul , Marta Molinas

Physical processes evolving in both time and space are often modeled using Partial Differential Equations (PDEs). Recently, it has been shown how stability analysis and control of coupled PDEs in a single spatial variable can be more…

偏微分方程分析 · 数学 2026-05-20 Declan S. Jagt , Matthew M. Peet

This work introduces Physics-informed State-space neural network Models (PSMs), a novel solution to achieving real-time optimization, flexibility, and fault tolerance in autonomous systems, particularly in transport-dominated systems such…

机器学习 · 计算机科学 2024-08-21 Akshay J. Dave , Richard B. Vilim

This paper proposes and validates two new particle regularization techniques for the Smoothed Particle Hydrodynamics (SPH) numerical method to improve its stability and accuracy for free surface flow simulations. We introduce a general form…

流体动力学 · 物理学 2022-04-05 Mojtaba Jandaghian , Herman Musumari Siaben , Ahmad Shakibaeinia

Towards the efficient simulation of near-term quantum devices using tensor network states, we introduce an improved real-space parallelizable matrix-product state (MPS) compression method. This method enables efficient compression of all…

量子物理 · 物理学 2024-09-02 Rong-Yang Sun , Tomonori Shirakawa , Seiji Yunoki
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