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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

A grid-feeding converter system is added to a novel power system transient simulation scheme based on frequency response optimized integrators considering second order derivative. The converter system and its implementation in the…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Sheng Lei , Alexander Flueck

Potential disagreement in the result induced by discontinuities is revealed in this paper between a novel power system transient simulation scheme using numerical integrators considering second order derivative and conventional ones using…

Systems and Control · Electrical Eng. & Systems 2021-06-08 Sheng Lei , Alexander Flueck

This paper presents comprehensive studies on frequency response optimized integrators considering second order derivative regarding their numerical error, numerical stability and transient performance. Frequency domain error analysis is…

Numerical Analysis · Mathematics 2021-01-12 Sheng Lei , Alexander Flueck

Obreshkov-like numerical integrators have been widely applied to power system transient simulation. Misuse of the numerical integrators as numerical differentiators may lead to numerical oscillation or bias. Criteria for Obreshkov-like…

Numerical Analysis · Mathematics 2022-02-16 Sheng Lei , Alexander Flueck

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…

Systems and Control · Electrical Eng. & Systems 2025-03-14 Kaiyang Huang , Yang Liu , Kai Sun , Feng Qiu

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

In this paper, low-order models of the frequency and voltage response of mixed-generation, low-inertia systems are presented. These models are unique in their ability to efficiently and accurately model frequency and voltage dynamics…

Systems and Control · Electrical Eng. & Systems 2025-11-07 Marena Trujillo , Amir Sajadi , Jonathan Shaw , Bri-Mathias Hodge

Low-order frequency response models for power systems have a decades-long history in optimization and control problems such as unit commitment, economic dispatch, and wide-area control. With a few exceptions, these models are built upon the…

Systems and Control · Electrical Eng. & Systems 2025-11-10 Marena Trujillo , Amir Sajadi , Bri-Mathias Hodge

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

Differentiable simulators promise faster computation time for reinforcement learning by replacing zeroth-order gradient estimates of a stochastic objective with an estimate based on first-order gradients. However, it is yet unclear what…

Machine Learning · Computer Science 2022-08-23 H. J. Terry Suh , Max Simchowitz , Kaiqing Zhang , Russ Tedrake

For electromagnetic transient (EMT) simulation of a power system, a state-space-based approach needs to solve state-space EMT equations by using numerical integration methods, e.g., the Euler method, Runge-Kutta methods, and…

Systems and Control · Electrical Eng. & Systems 2023-02-21 Min Xiong , Rui Yao , Yang Liu , Kai Sun , Feng Qiu

In this paper, a computationally efficient frequency-limited model reduction algorithm is presented for large-scale interconnected power systems. The algorithm generates a reduced order model which not only preserves the electromechanical…

Systems and Control · Electrical Eng. & Systems 2020-01-28 Umair Zulfiqar , Victor Sreeram , Xin Du

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

This paper investigates transient performance of inverter-based microgrids in terms of the resistive power losses incurred in regulating frequency under persistent stochastic disturbances. We model the inverters as second-order oscillators…

Optimization and Control · Mathematics 2016-03-22 Emma Tegling , Martin Andreasson , John W. Simpson-Porco , Henrik Sandberg

In power system dynamic simulation, up to 90% of the computational time is devoted to solve the network equations, i.e., a set of linear equations. Traditional approaches are based on sparse LU factorization, which is inherently sequential.…

Systems and Control · Electrical Eng. & Systems 2021-07-06 Lu Zhang , Bin Wang , Vivek Sarin , Weiping Shi , P. R. Kumar , Le Xie

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…

Systems and Control · Electrical Eng. & Systems 2021-06-08 Xiang Zhang , Renchang Dai , Peng Wei , Yijing Liu , Guangyi Liu , Zhiwei Wang

Load side participation can provide support to the power network by appropriately adapting the demand when required. In addition, it enables an economically improved power allocation. In this study, we consider the problem of providing an…

Optimization and Control · Mathematics 2021-05-10 Andreas Kasis , Stelios Timotheou , Marios Polycarpou

Variational integrators are well-suited for simulation of mechanical systems because they preserve mechanical quantities about a system such as momentum, or its change if external forcing is involved, and holonomic constraints. While they…

Optimization and Control · Mathematics 2017-09-04 Elliot Johnson , Jarvis Schultz , Todd Murphey

This paper proposes an electronic circuit simulator-based method to accelerate the power system transient simulation, where the modeling of a generic HVDC (High Voltage Direct Current) system is focused. The electronic circuit simulation…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Yongli Zhu , Xiang Zhang , Renchang Dai
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