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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…

Systems and Control · Electrical Eng. & Systems 2022-01-25 Georgios Tzounas , Ioannis Dassios , Federico Milano

The field-circuit coupled simulation of switch-mode power converters with conventional time discretization is computationally expensive since very small time steps are needed to appropriately account for steep transients occurring inside…

Computational Engineering, Finance, and Science · Computer Science 2019-07-09 Andreas Pels , Herbert De Gersem , Ruth V. Sabariego , Sebastian Schöps

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

Nowadays the city-wide traffic contains hundreds of thousands of vehicles with different scenarios of their behavior. If a microscopic approach is used it leads to solving tremendous systems of ordinary differential equations whose…

Physics and Society · Physics 2016-10-19 Valentina Kurtc , Igor Anufriev

As inverter-based resources (IBRs) penetrate power systems, the dynamics become more complex, exhibiting multiple timescales, including electromagnetic transient (EMT) dynamics of power electronic controllers and electromechanical dynamics…

Systems and Control · Electrical Eng. & Systems 2025-03-17 Kaiyang Huang , Min Xiong , Yang Liu , Kai Sun

A multirate nonlinear model predictive control (NMPC) strategy is proposed for systems with dynamics and control inputs evolving on different timescales. The proposed multirate formulation of the system model and receding horizon optimal…

Optimization and Control · Mathematics 2022-07-05 Yana Lishkova , Mark Cannon , Sina Ober-Blöbaum

For time-dependent problems with high-contrast multiscale coefficients, the time step size for explicit methods is affected by the magnitude of the coefficient parameter. With a suitable construction of multiscale space, one can achieve a…

Numerical Analysis · Mathematics 2022-04-01 Wing Tat Leung , Yating Wang

The simulation of systems that act on multiple time scales is challenging. A stable integration of the fast dynamics requires a highly accurate approximation whereas for the simulation of the slow part, a coarser approximation is accurate…

Numerical Analysis · Mathematics 2024-06-21 Sina Ober-Blöbaum , Theresa Wenger , Tobias Gail , Sigrid Leyendecker

Traditional dynamic security assessment faces challenges as power systems are experiencing a transformation to inverter-based-resource (IBR) dominated systems, for which electromagnetic transient (EMT) dynamics have to be considered.…

Dynamical Systems · Mathematics 2023-02-21 Kaiyang Huang , Min Xiong , Yang Liu , Kai Sun , Feng Qiu

We propose a new matrix pencil based approach for design of state-feedback and output-feedback stabilizing controllers for a general class of uncertain nonlinear strict-feedback-like systems. While the dynamic controller structure is based…

Optimization and Control · Mathematics 2022-06-08 Prashanth Krishnamurthy , Farshad Khorrami

A novel matrix pencil-based interference mitigation approach for FMCW radars is proposed in this paper. The interference-contaminated segment of the beat signal is firstly cut out and then the signal samples in the cut-out region are…

Signal Processing · Electrical Eng. & Systems 2021-11-24 Jianping Wang , Min Ding , Alexander Yarovoy

We study a graph partitioning problem motivated by the simulation of the physical movement of multi-body systems on an atomistic level, where the forces are calculated from a quantum mechanical description of the electrons. Several advanced…

This paper presents a hierarchical control scheme for interconnected linear systems. At the higher layer of the control structure a robust centralized Model Predictive Control (MPC) algorithm based on a reduced order dynamic model of the…

Systems and Control · Computer Science 2017-05-25 Marcello Farina , Xinglong Zhang , Riccardo Scattolini

This paper proposes a system identification algorithm for systems with multi-rate sensors in a discrete-time framework. It is challenging to obtain an accurate mathematical model when the ratios of inputs and outputs are different in the…

Systems and Control · Electrical Eng. & Systems 2025-12-11 Hiroshi Okajima , Risa Furukawa , Nobutomo Matsunaga

This paper presents an efficient numerical algorithm for the simulation of pulse-width modulated power converters via parallelization in time domain. The method applies the multirate partial differential equation approach on the coarse grid…

Numerical Analysis · Mathematics 2020-07-08 Andreas Pels , Iryna Kulchytska-Ruchka , Sebastian Schöps

Recent studies have shown that multi-step optimization based on Model Predictive Control (MPC) can effectively coordinate the increasing number of distributed renewable energy and storage resources in the power system. However, the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-02 Junyao Guo , Gabriela Hug , Ozan Tonguz

This paper proposes several explicit and implicit multistep frequency response optimized integrators considering first or second order derivative. A prediction-based method aiming at accelerating a novel power system transient simulation…

Systems and Control · Electrical Eng. & Systems 2021-02-16 Sheng Lei , Alexander Flueck

This paper introduces a multi-timescale stochastic programming framework designed to address decision-making challenges in power systems, particularly those with high renewable energy penetration. The framework models interactions across…

Optimization and Control · Mathematics 2025-08-13 Yihang Zhang , Suvrajeet Sen

This paper studies the optimal control problem for discrete-time nonlinear systems and an approximate dynamic programming-based Model Predictive Control (MPC) scheme is proposed for minimizing a quadratic performance measure. In the…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Keerthi Chacko , Midhun T. Augustine , S. Janardhanan , Deepak U. Patil , I. N. Kar

Switch-mode power converters are used in various applications to convert between different voltage (or current) levels. They use transistors to switch on and off the input voltage to generate a pulsed voltage whose arithmetic average is the…

Computational Engineering, Finance, and Science · Computer Science 2019-11-11 Andreas Pels , Ruth V. Sabariego , Sebastian Schöps
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