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This paper analyses stability of the Unified Controller (UC) that combines frequency control and congestion management and therefore makes it possible to move from preventive to corrective power system control. Earlier work by the authors…

Optimization and Control · Mathematics 2018-08-02 Oleg. O. Khamisov , Tatiana. S. Chernova , Janusz. W. Bialek , Steven. H. Low

Recent advances in power system simulation have included the use of complex rectangular current and voltage (I-V) variables for solving the power flow and three-phase power flow problems. This formulation has demonstrated superior…

Systems and Control · Computer Science 2017-11-07 Amritanshu Pandey , Marko Jereminov , Gabriela Hug , Larry Pileggi

An approach for incorporating embedded simulation and analysis capabilities in complex simulation codes through template-based generic programming is presented. This approach relies on templating and operator overloading within the C++…

Mathematical Software · Computer Science 2012-05-17 Roger P. Pawlowski , Eric T. Phipps , Andrew G. Salinger

Modern engineering systems include many components of different types and functions. Verifying that these systems satisfy given specifications can be an arduous task, as most formal verification methods are limited to systems of moderate…

Systems and Control · Electrical Eng. & Systems 2021-04-21 Miel Sharf , Bart Besselink , Adam Molin , Qiming Zhao , Karl Henrik Johansson

Combinatorial optimization problems are computationally hard in general, but they are ubiquitous in our modern life. A coherent Ising machine (CIM) based on a multiple-pulse degenerate optical parametric oscillator (DOPO) is an alternative…

This paper presents a novel 2-stage microgrid unit commitment (Microgrid-UC) algorithm considering cold-load pickup (CLPU) effects, three-phase load balancing requirements, and feasible reconfiguration options. Microgrid-UC schedules the…

Systems and Control · Electrical Eng. & Systems 2025-09-12 Rongxing Hu , Ashwin Shirsat , Valliappan Muthukaruppan , Si Zhang , Yiyan Li , Lidong Song , Bei Xu , Victor Paduani , Ning Lu , Mesut Baran , Wenyuan Tang

This paper surveys the primary computational hurdles of Energy Systems optimization coming from different sources: model-induced complexity, optimization algorithm requirements, and uncertainties handling (both aleatoric and epistemic).…

One limitation of the variational quantum eigensolver algorithm is the large number of measurement steps required to estimate different terms in the Hamiltonian of interest. Unitary partitioning reduces this overhead by transforming the…

Quantum Physics · Physics 2021-09-01 Alexis Ralli , Peter Love , Andrew Tranter , Peter Coveney

This paper introduces Roundabout Constrained Convex Generators (RCGs), a set representation framework for modeling multiply connected regions in control and verification applications. The RCG representation extends the constrained convex…

Optimization and Control · Mathematics 2025-11-11 Peng Xie , Sabin Diaconescu , Florin Stoican , Amr Alanwar

Simulation is a fundamental research tool in the computer architecture field. These kinds of tools enable the exploration and evaluation of architectural proposals capturing the most relevant aspects of the highly complex systems under…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-11 Adrian Colaso , Pablo Prieto , Jose-Angel Herrero , Pablo Abad , Valentin Puente , Jose-Angel Gregorio

Coupled 3D-1D problems arise in many practical applications, in an attempt to reduce the computational burden in simulations where cylindrical inclusions with a small section are embedded in a much larger domain. Nonetheless the resolution…

Numerical Analysis · Mathematics 2021-06-10 Stefano Berrone , Denise Grappein , Stefano Scialò , Fabio Vicini

Originally developed as a theory of consciousness, integrated information theory provides a mathematical framework to quantify the causal irreducibility of systems and subsets of units in the system. Specifically, mechanism integrated…

Neurons and Cognition · Quantitative Biology 2024-04-23 Alireza Zaeemzadeh , Giulio Tononi

In this paper, a novel formulation for the power system state estimation is proposed, based on the recently introduced equivalent split-circuit formulation of the power flow problem. The formulation models the conventional and time…

Signal Processing · Electrical Eng. & Systems 2018-12-18 Aleksandar Jovicic , Marko Jereminov , Larry Pileggi , Gabriela Hug

Note: This preprint has been superseded by arXiv:1806.04318. Recent advances in nanotechnology have enabled researchers to control individual quantum mechanical objects with unprecedented accuracy, opening the door for both quantum and…

Mesoscale and Nanoscale Physics · Physics 2018-06-21 Adam Frees , John King Gamble , Daniel R. Ward , Robin Blume-Kohout , M. A. Eriksson , Mark Friesen , S. N. Coppersmith

Finite Unified Theories (FUTs) are N=1 supersymmetric Grand Unified Theories that can be made all-loop finite, leading to a severe reduction of the free parameters. We review the investigation of FUTs based on SU(5) in the context of…

High Energy Physics - Phenomenology · Physics 2009-02-02 S. Heinemeyer , M. Mondragon , G. Zoupanos

These course notes are about computing modular forms and some of their arithmetic properties. Their aim is to explain and prove the modular symbols algorithm in as elementary and as explicit terms as possible, and to enable the devoted…

Number Theory · Mathematics 2018-09-14 Gabor Wiese

We introduce second-order low-dissipation (LD) path-conservative central-upwind (PCCU) schemes for the one- (1-D) and two-dimensional (2-D) multifluid systems, whose components are assumed to be immiscible and separated by material…

Numerical Analysis · Mathematics 2023-08-01 Shaoshuai Chu , Alexander Kurganov , Ruixiao Xin

Despite substantial growth in wind energy technology in recent decades, aerodynamic modeling of wind turbines relies on momentum models derived in the late 19th and early 20th centuries, which are well-known to break down under flow regimes…

Fluid Dynamics · Physics 2024-01-19 Jaime Liew , Kirby S. Heck , Michael F. Howland

We present an improved approach for generating a set of optimized frontier orbitals (HOMO and LUMO) that minimizes the energy of one double configuration. We further benchmark the effect of including such a double within a CIS or TD-DFT…

Chemical Physics · Physics 2022-01-19 Vishikh Athavale , Hung-Hsuan Teh , Joseph Subotnik

In this paper, we present a novel numerical scheme for simulating deformable and extensible capsules suspended in a Stokesian fluid. The main feature of our scheme is a partition-of-unity (POU) based representation of the surface that…

Numerical Analysis · Mathematics 2024-04-09 Dhwanit Agarwal , George Biros
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