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High penetration of renewable energy sources intensifies frequency fluctuations in multi-area power systems, challenging both stability and operational safety. This paper proposes a novel distributed frequency control method that ensures…

Systems and Control · Electrical Eng. & Systems 2025-09-10 Xiemin Mo , Tao Liu

The modern power system is evolving with increasing penetration of power electronics introducing complicated electromagnetic phenomenon. Electromagnetic transient (EMT) simulation is essential to understand power system behavior under…

Systems and Control · Electrical Eng. & Systems 2021-07-02 Yijing Liu , Xiang Zhang , Renchang Dai , Guangyi Liu

Switching time optimization arises in finite-horizon optimal control for switched systems where, given a sequence of continuous dynamics, one minimizes a cost function with respect to the switching times. We propose an efficient method for…

Optimization and Control · Mathematics 2017-05-09 Bartolomeo Stellato , Sina Ober-Blöbaum , Paul J. Goulart

We present sixth- and eighth-order Hermite integrators for astrophysical $N$-body simulations, which use the derivatives of accelerations up to second order ({\it snap}) and third order ({\it crackle}). These schemes do not require previous…

Astrophysics · Physics 2008-11-26 Keigo Nitadori , Junichiro Makino

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 earlier work of the author on Frequency estimation in three-phase power systems ( that is included as the reference number 1) is expanded to the distributed setting in order present a framework for the implementation of such a frequency…

Applications · Statistics 2016-03-31 Sayed Pouria Talebi

The power system of the future will be governed by complex interactions and non-linear phenomena at small time-scales, that should be studied more and more through computationally expensive software simulations. To solve the abovementioned…

Systems and Control · Electrical Eng. & Systems 2025-02-26 Marius Kuhn , Evelyn Heylen , Willem Leterme

Recently, we have proposed a new diffusive representation for fractional derivatives and, based on this representation, suggested an algorithm for their numerical computation. From the construction of the algorithm, it is immediately…

Numerical Analysis · Mathematics 2022-04-12 Kai Diethelm

Power-based output feedback compensator for oscillatory systems is proposed. The average input-output power of an oscillatory signal serves as an equivalent control effort, while the unknown amplitude and frequency of oscillations are…

Systems and Control · Electrical Eng. & Systems 2024-07-30 Michael Ruderman

We present $\mathcal{O}(N^2)$ estimators for the small-scale power spectrum and bispectrum in cosmological simulations. In combination with traditional methods, these allow spectra to be efficiently computed across a vast range of scales,…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-21 Oliver H. E. Philcox

For the first time quaternions have been used for real-time frequency estimation, where the multi-dimensional nature of quaternions allows for the full characterization of three-phase power systems. This is achieved through the use of…

Systems and Control · Computer Science 2016-03-25 Sayed Pouria Talebi , Professor Danilo P. Mandic

The smart transformer (ST) implemented using power electronics converters, has the capability of independent voltage control and reactive power isolation between its primary and secondary terminals. This capability provides a flexibility in…

Systems and Control · Electrical Eng. & Systems 2019-11-18 Junru Chen , Ran Li , Alireza Soroudi , Andrew Keane , Damian Flynn , Terence ODonnell

Frequency stability is fundamental to the secure operation of power systems. With growing uncertainty and volatility introduced by renewable generation, secondary frequency regulation must now deliver enhanced performance not only in the…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Yixuan Yu , Rajni K. Bansal , Yan Jiang , Pengcheng You

Power systems solvers are vital tools in planning, operating, and optimizing electrical distribution networks. The current generation of solvers employ computationally expensive iterative methods to compute sequential solutions. To…

Systems and Control · Electrical Eng. & Systems 2020-01-07 Siobhan Powell , Alyona Ivanova , David Chassin

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

Quantum simulation has shown great potential in many fields due to its powerful computational capabilities. However, the limited fidelity can lead to a severe limitation on the number of gate operations, which requires us to find optimized…

Quantum Physics · Physics 2021-09-20 Yi-Tong Zou , Yu-Jiao Bo , Ji-Chong Yang

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…

Dynamical Systems · Mathematics 2018-02-13 Yang Liu , Kai Sun

We describe an algorithm for the numerical solution of second order linear differential equations in the highly-oscillatory regime. It is founded on the recent observation that the solutions of equations of this type can be accurately…

Numerical Analysis · Mathematics 2015-06-23 James Bremer

Conventional electromagnetic transient (EMT) and phasor-domain hybrid simulation approaches presently exist for trans-mission system level studies. Their simulation efficiency is generally constrained by the EMT simulation. With an…

Systems and Control · Computer Science 2017-12-21 Qiuhua Huang , Vijay Vittal

Major challenges for the transition of power systems do not only tackle power electronics but also communication technology, power market economy and user acceptance studies. Simulation is an important research method therein, as it helps…

Systems and Control · Computer Science 2018-07-03 Manfred Pöchacker , Anita Sobe , Wilfried Elmenreich