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The process of calibrating instrument transformers (ITs) has been greatly simplified by using phasor measurement unit (PMU) data since this process eliminates the need for (a) additional hardware, and (b) taking ITs offline. However, such…

Systems and Control · Electrical Eng. & Systems 2026-04-22 Antos Cheeramban Varghese , Rajasekhar Anguluri , Anamitra Pal

We study mixed-integer programming formulations for the piecewise linear lower and upper bounds (in other words, piecewise linear relaxations) of nonlinear functions that can be modeled by a new class of combinatorial disjunctive…

Optimization and Control · Mathematics 2023-05-01 Bochuan Lyu , Illya V. Hicks , Joey Huchette

Unit Commitment (UC) is a core optimization problem in power system operation and electricity market scheduling. It determines the optimal on/off status and dispatch of generating units while satisfying system, operational, and market…

Quantum Physics · Physics 2026-01-06 Milad Hasanzadeh , Ali Rajabi , Amin Kargarian

We propose to model multivariate volatility processes based on the newly defined conditionally uncorrelated components (CUCs). This model represents a parsimonious representation for matrix-valued processes. It is flexible in the sense that…

Statistics Theory · Mathematics 2007-06-13 Jianqing Fan , Mingjin Wang , Qiwei Yao

In this paper, we study unit commitment (UC) problems considering the uncertainty of load and wind power generation. UC problem is formulated as a chance-constrained two-stage stochastic programming problem where the chance constraint is…

Optimization and Control · Mathematics 2016-11-29 Yao Zhang , Jianxue Wang , Bo Zeng , Zechun Hu

Designing control systems with bounded input is a practical consideration since realizable physical systems are limited by the saturation of actuators. The actuators' saturation degrades the performance of the control system, and in extreme…

Systems and Control · Electrical Eng. & Systems 2021-11-16 M. Reza J. Harandi , Amir Molaei , Hamid D. Taghirad , Jose Guadalupe Romero

Optimal control techniques are applied for the decomposition of unitary quantum operations into a sequence of single-qubit gates and entangling operations. To this end, we modify a gradient-ascent algorithm developed for systems of coupled…

Quantum Physics · Physics 2009-01-15 V. Nebendahl , H. Haffner , C. F. Roos

The complicated mesoscopic configurations of composite plate and shell structures requires a huge amount of computational overhead for directly simulating their mechanical problems. In this paper, a unified high-order multi-scale method,…

Numerical Analysis · Mathematics 2023-05-02 Ge Bu-Feng , Gao Ming-Yuan , Dong Hao

We study cyclic binary strings with bounds on the lengths of the intervals of consecutive ones and zeros. This is motivated by scheduling problems where such binary strings can be used to represent the state (on/off) of a machine. In this…

Optimization and Control · Mathematics 2018-09-07 Thomas Kalinowski , Tomas Lidén , Hamish Waterer

In this tutorial-style review we discuss basic concepts of coupled cluster theory and recent developments that increase its computational efficiency for calculations of molecules, solids and materials in general. We will touch upon the…

Materials Science · Physics 2020-04-15 Igor Ying Zhang , Andreas Grüneis

This letter presents a corrective frequency-constrained UC (C-FCUC) for island power systems implementing analytical constraints on underfrequency load shedding (UFLS). Since UFLS is inevitable for sufficiently large disturbances, one can…

Systems and Control · Electrical Eng. & Systems 2023-04-12 Almudena Rouco , Mohammad Rajabdorri , Lukas Sigrist , Enrique Lobato , Ignacio Egido

In this paper, we introduce our open source implementation of the Coupled Discrete Unified Gas Kinetic Scheme (CDUGKS) of https://journals.aps.org/pre/abstract/10.1103/PhysRevE.98.053310, a phase space scheme capable of handling a wide…

Instrumentation and Methods for Astrophysics · Physics 2023-04-25 Alvaro Zamora , Elliott Slaughter , Tom Abel

We study the mixed-integer quadratic programming formulation of an $n$-period hybrid control problem with a convex quadratic cost function and linear dynamics. We first give the convex hull description of the single-period, two-mode problem…

Optimization and Control · Mathematics 2024-12-17 Jisun Lee , Hyungki Im , Alper Atamtürk

Hydrogen fuel cells are a key technology in the transition toward carbon-neutral energy systems, offering clean power with water as the only byproduct. Microfluidic fuel cells, which operate at the microliter scale, are an emerging variant…

Computational Engineering, Finance, and Science · Computer Science 2026-03-31 Michel Takken , Robert Wille

This paper addresses two vital issues which are barely discussed in the literature on robust unit commitment (RUC): 1) how much the potential operational loss could be if the realization of uncertainty is beyond the prescribed uncertainty…

Optimization and Control · Mathematics 2016-03-16 Cheng Wang , Feng Liu , Jianhui Wang , Feng Qiu , Wei Wei , Shengwei Mei , Shunbo Lei

The introduction of cloud data centres has opened new possibilities for the storage and processing of data, augmenting the limited capabilities of peripheral devices. Large data centres tend to be located away from the end users which…

Networking and Internet Architecture · Computer Science 2020-04-14 Fatemah S. Behbehani , Mohamed Musa , Taisir Elgorashi , J. M. H. Elmirghani

One of the commonly used chemical-inspired approaches in variational quantum computing is the unitary coupled-cluster (UCC) ansatze. Despite being a systematic way of approaching the exact limit, the number of parameters in the standard UCC…

Quantum Physics · Physics 2023-06-06 Shashank G Mehendale , Bo Peng , Niranjan Govind , Yuri Alexeev

The Coupled Cluster (CC) method is used to compute the electronic correlation energy in atoms and molecules and often leads to highly accurate results. However, due to its single-reference nature, standard CC in its projected form fails to…

We introduce the implementation details of the simulation code \cosenu, which numerically solves a set of non-linear partial differential equations that govern the dynamics of neutrino collective flavor conversions. We systematically…

High Energy Physics - Phenomenology · Physics 2022-11-17 Manu George , Chun-Yu Lin , Meng-Ru Wu , Tony G. Liu , Zewei Xiong

The N-1-1 contingency criterion considers the con- secutive loss of two components in a power system, with intervening time for system adjustments. In this paper, we consider the problem of optimizing generation unit commitment (UC) while…

Optimization and Control · Mathematics 2016-04-20 Zhaomiao Guo , Richard Li-Yang Chen , Neng Fan , Jean-Paul Watson