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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

The changing nature of power systems dynamics is challenging present practices related to modeling and study of system-level dynamic behavior. While developing new techniques and models to handle the new modeling requirements, it is also…

Systems and Control · Electrical Eng. & Systems 2023-08-10 Jose Daniel Lara , Rodrigo Henriquez-Auba , Deepak Ramasubramanian , Sairaj Dhople , Duncan S. Callaway , Seth Sanders

Multiresolution Matrix Factorization (MMF) was recently introduced as a method for finding multiscale structure and defining wavelets on graphs/matrices. In this paper we derive pMMF, a parallel algorithm for computing the MMF…

Numerical Analysis · Computer Science 2015-07-17 Risi Kondor , Nedelina Teneva , Pramod K. Mudrakarta

Simulation is an efficient tool in the design and control of power electronic systems. However, quick and accurate simulation of them is still challenging, especially when the system contains a large number of switches and state variables.…

Systems and Control · Electrical Eng. & Systems 2023-12-11 Han Xu , Bochen Shi , Zhujun Yu , Jialin Zheng , Zhengming Zhao

This paper focuses on the Partitioned-Solution Approach (PSA) employed for the Time-Domain Simulation (TDS) of dynamic power system models. In PSA, differential equations are solved at each step of the TDS for state variables, whereas…

Numerical Analysis · Mathematics 2023-04-13 Georgios Tzounas , Gabriela Hug

This paper describes an adaptive method to reduce a nonlinear power system model for fast and accurate transient stability simulation. It presents an approach to analyze and rank participation factors of each system state variable into…

Dynamical Systems · Mathematics 2023-02-21 Mahsa Sajjadi , Kaiyang Huang , Kai Sun

The simulation of the physical movement of multi-body systems at an atomistic level, with forces calculated from a quantum mechanical description of the electrons, motivates a graph partitioning problem studied in this article. Several…

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

Tensor analysis has been a widely studied in physics applications including circuit theory and electric machines. This paper reviews some of the main features of this type of representation for unbalanced power distribution systems and…

Optimization and Control · Mathematics 2018-05-14 Alejandro Garces

The nonlinear inverse problem of exponential data fitting is separable since the fitting function is a linear combination of parameterized exponential functions, thus allowing to solve for the linear coefficients separately from the…

Numerical Analysis · Mathematics 2023-06-13 Annie Cuyt , Wen-shin Lee

System state estimation constitutes a key problem in several applications involving multi-agent system architectures. This rests upon the estimation of the state of each agent in the group, which is supposed to access only relative…

Systems and Control · Electrical Eng. & Systems 2021-07-16 Marco Fabris , Giulia Michieletto , Angelo Cenedese

Matrix multiplication is the bedrock in Deep Learning inference application. When it comes to hardware acceleration on edge computing devices, matrix multiplication often takes up a great majority of the time. To achieve better performance…

Machine Learning · Computer Science 2021-10-12 Yuyang Zhang , Dik Hin Leung , Min Guo , Yijia Xiao , Haoyue Liu , Yunfei Li , Jiyuan Zhang , Guan Wang , Zhen Chen

In this paper, we propose a multirate iterative scheme with multiphysics finite element method for a fluid-saturated poroelasticity model. Firstly, we reformulate the original model into a fluid coupled problem to apply the multiphysics…

Numerical Analysis · Mathematics 2021-09-28 Zhihao Ge , Xiangzi Fu

The matrix pencil method is an eigenvalue based approach for the parameter identification of sparse exponential sums. We derive a reconstruction algorithm for multivariate exponential sums that is based on simultaneous diagonalization.…

Numerical Analysis · Mathematics 2018-05-17 Martin Ehler , Stefan Kunis , Thomas Peter , Christian Richter

Due to its high sample complexity, simulation is, as of today, critical for the successful application of reinforcement learning. Many real-world problems, however, exhibit overly complex dynamics, which makes their full-scale simulation…

Machine Learning · Computer Science 2024-03-04 Miguel Suau , Jinke He , Mustafa Mert Çelikok , Matthijs T. J. Spaan , Frans A. Oliehoek

This work focuses on the development of a self adjusting multirate strategy based on an implicit time discretization for the numerical solution of hyperbolic equations, that could benefit from different time steps in different areas of the…

Numerical Analysis · Mathematics 2018-02-14 Ludovica Delpopolo Carciopolo , Luca Bonaventura , Anna Scotti , Luca Formaggia

A computer simulation has to be fast to be helpful, if it is employed to study the behavior of a multicomponent dynamic system. This paper discusses modeling concepts and algorithmic techniques useful for creating such fast simulations.…

Data Structures and Algorithms · Computer Science 2007-05-23 Boris D. Lubachevsky

Electromagnetic transient (EMT) simulation is a crucial tool for power system dynamic analysis because of its detailed component modeling and high simulation accuracy. However, it suffers from computational burdens for large power grids…

Systems and Control · Electrical Eng. & Systems 2023-12-21 Min Xiong , Kaiyang Huang , Yang Liu , Rui Yao , Kai Sun , Feng Qiu

Statistical power estimation for studies with multiple model parameters is inherently a multivariate problem. Power for individual parameters of interest cannot be reliably estimated univariately since correlation and variance explained…

Methodology · Statistics 2022-05-25 Ajinkya K Mulay , Sean Lane , Erin Hennes

The initialization process of a novel power system transient simulation scheme for stability studies is put forward, by further developing a "time-domain harmonic power-flow algorithm". The initialization process is formulated as an…

Systems and Control · Electrical Eng. & Systems 2020-09-01 Sheng Lei , Alexander Flueck