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Power system dynamic modeling involves nonlinear differential and algebraic equations (DAEs). Solving DAEs for large power grid networks by direct implicit numerical methods could be inefficient in terms of solution time; thus, such methods…

Systems and Control · Electrical Eng. & Systems 2021-12-30 M Al Mamun , Sumit Paudyal , Sukumar Kamalasadan

Frequency response optimized integrators considering second order derivative are proposed in this paper. Based on the proposed numerical integrators, and others which also consider second order derivative, this paper puts forward a novel…

Systems and Control · Electrical Eng. & Systems 2020-12-08 Sheng Lei , Alexander Flueck

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

This paper presents the modal truncation and singular value decomposition (SVD) technique as two main algorithms for dynamic model reduction of the power system. The significance and accuracy of the proposed methods are investigated with…

Systems and Control · Electrical Eng. & Systems 2020-04-17 Mohammad Khatibi , Fatemeh Rahmani , Tanushree Agarwal

Power system dynamics are generally modeled by high dimensional nonlinear differential-algebraic equations (DAEs) given a large number of components forming the network. These DAEs' complexity can grow exponentially due to the increasing…

Quantum Physics · Physics 2024-03-06 Huynh T. T. Tran , Hieu T. Nguyen , Long Thanh Vu , Samuel T. Ojetola

Power system dynamics are generally modeled by high dimensional nonlinear differential-algebraic equations (DAEs) given a large number of components forming the network. These DAEs' complexity can grow exponentially due to the increasing…

Systems and Control · Electrical Eng. & Systems 2024-03-05 Huynh Trung Thanh Tran , Hieu T. Nguyen , Long T. Vu , Samuel T. Ojetola

With the advancement of sensing and communication in power networks, high-frequency real-time data from a power network can be used as a resource to develop better monitoring capabilities. In this work, a systematic approach based on…

Systems and Control · Electrical Eng. & Systems 2020-03-12 Subhrajit Sinha , Sai Pushpak Nandanoori , Enoch Yeung

Distributed optimization methods have been extensively applied for the optimization of electric power distribution systems, especially for grid-edge coordination. Existing distributed optimization algorithms applied to power distribution…

Systems and Control · Electrical Eng. & Systems 2022-12-12 Rabayet Sadnan , Nathan Gray , Anjan Bose , Anamika Dubey

This paper reports an initial work on power system oscillation damping improvement using a data-driven online optimization method. An online oscillation damping optimization mod-el is proposed and formulated in a form solvable by the…

Optimization and Control · Mathematics 2019-01-14 Zhihao Chen , Hanchen Xu , Junbo Zhang , Lin Guan

When applying Dynamic Power Management (DPM) technique to pervasively deployed embedded systems, the technique needs to be very efficient so that it is feasible to implement the technique on low end processor and tight-budget memory.…

Other Computer Science · Computer Science 2011-11-09 Min Li , Xiaobo Wu , Richard Yao , Xiaolang Yan

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

This letter introduces a formal duality between discrete-time and quantized-state numerical methods. We interpret quantized state system (QSS) methods as integration schemes applied to a dual form of the system model, where time is seen as…

Systems and Control · Electrical Eng. & Systems 2025-10-07 Liya Huang , Georgios Tzounas

The differential transformation method (DTM) enables the easy construction of a power-series solution to a nonlinear differential equation. The exponentiation operation has not been specifically addressed in the DTM literature, and…

Classical Analysis and ODEs · Mathematics 2010-07-14 Hal Finkel

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

Quantum computers have the potential to simulate chemical systems beyond the capability of classical computers. Recent developments in hybrid quantum-classical approaches enable the determinations of the ground or low energy states of…

Quantum Physics · Physics 2021-12-06 Chee-Kong Lee , Jonathan Wei Zhong Lau , Liang Shi , Leong Chuan Kwek

We propose an efficient quantum algorithm for simulating the dynamics of general Hamiltonian systems. Our technique is based on a power series expansion of the time-evolution operator in its off-diagonal terms. The expansion decouples the…

Quantum Physics · Physics 2021-06-22 Amir Kalev , Itay Hen

The increasing integration of power electronic devices is driving the development of more advanced tools and methods for the modeling, analysis, and control of modern power systems to cope with the different time-scale oscillations. In this…

Systems and Control · Electrical Eng. & Systems 2019-10-22 Umberto Biccari , Noboru Sakamoto , Eneko Unamuno , Danel Madariaga , Enrique Zuazua , Jon Andoni Barrena

Density matrices evolved according the von Neumann equation are commonly used to simulate the dynamics of driven quantum systems. However, computational methods using density matrices are often too slow to explore the large parameter spaces…

Computational Physics · Physics 2022-02-02 Spenser Talkington , HongWen Jiang

Dynamic power system models are instrumental in real-time stability, monitoring, and control. Such models are traditionally posed as systems of nonlinear differential algebraic equations (DAEs): the dynamical part models generator…

Systems and Control · Electrical Eng. & Systems 2024-02-02 Mohamad H. Kazma , Ahmad F. Taha

We introduce an alternative formulation of the exact stochastic simulation algorithm (SSA) for sampling trajectories of the chemical master equation for a well-stirred system of coupled chemical reactions. Our formulation is based on…

Quantitative Methods · Quantitative Biology 2015-05-13 Rajesh Ramaswamy , Nélido González-Segredo , Ivo F. Sbalzarini