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In this manuscript, we show how flow equation methods can be used to study localisation in disordered quantum systems, and particularly how to use this approach to obtain the non-equilibrium dynamical evolution of observables. We review the…

Disordered Systems and Neural Networks · Physics 2020-02-27 S. J. Thomson , M. Schiró

Distribution power systems (DPSs) are mostly unbalanced, and their loads may have notable static voltage characteristics (ZIP loads). Hence, despite abundant papers on linear single-phase power flow models, it is still necessary to study…

Systems and Control · Electrical Eng. & Systems 2021-03-19 Yitong Liu , Zhengshuo Li , Yu Zhou

We propose a new method to efficiently compute load-flows (the steady-state of the power-grid for given productions, consumptions and grid topology), substituting conventional simulators based on differential equation solvers. We use a deep…

Machine Learning · Statistics 2018-01-31 Benjamin Donnot , Isabelle Guyon , Marc Schoenauer , Antoine Marot , Patrick Panciatici

Motivated by the need to localise faults along electrical power lines, this paper adopts a frequency-domain approach to parameter estimation for an infinite-dimensional linear dynamical system with one spatial variable. Since the time of…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Daniel Selvaratnam , Amritam Das , Henrik Sandberg

We develop a flow renormalization approach for periodically-driven quantum systems, which reveals prethermal dynamical regimes and associated timescales via direct correspondence between real time and flow time behavior. In this formalism,…

Quantum Physics · Physics 2021-03-16 Martin Claassen

We propose a novel direct transcription and solution method for solving nonlinear, continuous-time dynamic optimization problems. Instead of forcing the dynamic constraints to be satisfied only at a selected number of points as in direct…

Optimization and Control · Mathematics 2022-01-25 Yuanbo Nie , Eric C. Kerrigan

Existing algorithms to solve alternating-current optimal power flow (AC-OPF) often exploit linear approximations to simplify system models and accelerate computations. In this paper, we improve a recent hierarchical OPF algorithm, which…

Optimization and Control · Mathematics 2023-02-09 Heng Liang , Xinyang Zhou , Changhong Zhao

The trend in the electric power system is to move towards increased amounts of distributed resources which suggests a transition from the current highly centralized to a more distributed control structure. In this paper, we propose a method…

Optimization and Control · Mathematics 2014-10-17 Javad Mohammadi , Soummya Kar , Gabriela Hug

The coordinated alternating current optimal power flow (ACOPF) for coupled transmission-distribution grids has become crucial to handle problems related to high penetration of renewable energy sources (RESs). However, obtaining all system…

Optimization and Control · Mathematics 2022-08-04 Wentian Lu , Kaijun Xie , Mingbo Liu , Xiaogang Wang , Lefeng Cheng

This paper presents a variational approach to doubly-nonlinear (gradient) flows (P) of nonconvex energies along with nonpotential perturbations (i.e., perturbation terms without any potential structures). An elliptic-in-time regularization…

Analysis of PDEs · Mathematics 2017-02-24 Goro Akagi , Stefano Melchionna

This paper proposes a new convex model predictive control strategy for dynamic optimal power flow between battery energy storage systems distributed in an AC microgrid. The proposed control strategy uses a new problem formulation, based on…

Systems and Control · Computer Science 2017-05-16 Thomas Morstyn , Branislav Hredzak , Ricardo P. Aguilera , Vassilios G. Agelidis

The growing reliance of electric power systems on gas-fired generation to balance intermittent sources of renewable energy has increased the variation and volume of flows through natural gas transmission pipelines. Adapting pipeline…

Optimization and Control · Mathematics 2015-11-25 Terrence W. K. Mak , Pascal Van Hentenryck , Anatoly Zlotnik , Hassan Hijazi , Russell Bent

A fundamental challenge in computer analysis of power flow is the rigorous understanding of the impact of different loading levels on the solutions of the power flow equation. This letter presents a comprehensive study of possible numerical…

Signal Processing · Electrical Eng. & Systems 2019-09-06 Dan Wu , Bin Wang , Kai Sun , Le Xie

In this work, we consider the dynamic unsplittable flow problem. This variation of the unsplittable flow problem has received little attention so far. The unsplittable flow problem is an NP-hard extension of the multi-commodity flow problem…

Optimization and Control · Mathematics 2023-03-29 François Lamothe , Emmanuel Rachelson , Alain Haït , Cédric Baudoin , Jean-Baptiste Dupé

Power flow calculation in EMS is required to accommodate a large and complex power system. To achieve a faster than real-time calculation, a graph based power flow calculation is proposed in this paper. Graph database and graph computing…

Signal Processing · Electrical Eng. & Systems 2018-11-07 Junjie Shi , Guangyi Liu , Renchang Dai , Jingjin Wu , Chen Yuan , Zhiwei Wang

Understanding the feasible power flow region is of central importance to power system analysis. In this paper, we propose a geometric view of the power system loadability problem. By using rectangular coordinates for complex voltages, we…

Optimization and Control · Mathematics 2018-07-31 Y. Weng , R. Rajagopal , B. Zhang

A new time discretization scheme for the numerical simulation of two-phase flow governed by a thermodynamically consistent diffuse interface model is presented. The scheme is consistent in the sense that it allows for a discrete in time…

Analysis of PDEs · Mathematics 2014-02-27 Harald Garcke , Michael Hinze , Christian Kahle

The power flow equations are at the core of most of the computations for designing and operating electric power systems. The power flow equations are a system of multivariate nonlinear equations which relate the power injections and…

Optimization and Control · Mathematics 2016-11-17 Dhagash Mehta , Daniel K Molzahn , Konstantin Turitsyn

With an increasing high penetration of solar photovoltaic generation in electric power grids, voltage phasors and branch power flows experience more severe fluctuations. In this context, probabilistic power flow (PPF) study aims at…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Kejun Chen , Yu Zhang

We present a new solution for fundamental problems in nonlinear dynamical systems: finding, verifying, and stabilizing cycles. The solution we propose consists of a new control method based on mixing previous states of the system (or the…

Dynamical Systems · Mathematics 2017-12-19 D. Dmitrishin , I. E. Iacob , I. Skrinnik , A. Stokolos
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