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Hydrodynamic Studies of Underground Gas Storages 13

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Hydrodynamic Studies of Underground Gas Storages

13th International Conference on Advanced Computer Information Technologies, ACIT 2023

作者： Pyanylo, Yaroslav Prytula, Zoia Prytula, Myroslav Hymko, Olha Prytula, Nazar Pyanylo, Halyna Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine Department of Mathematical Modeling of Transfer Processes in Distributed Systems Lviv Ukraine Pidstryhach Inst. for Appl. Prob. of Mechanics and Math. National Academy of Sciences of Ukraine Laboratory of Mathematical Problems of Mechanics of Inhomogeneous Bodies Lviv Ukraine Research and Design Institute of Gas Transport of PJSC 'Ukrtransgaz' Department of Development of Systems for Optimal Planning and Forecasting of UGS Operating Modes Lviv Ukraine Lviv Polytechnic National University Department of Automation and Computer-Integrated Technologies Lviv Ukraine

Problems of research of underground gas storage (UGS) wells are given. The analysis of the results of well research is carried out and the constant variability of filtration resistance coefficients of bottomhole zones of wells is substantiated. Studies of the influence of bottomhole pressures of wells on the calculated pressure at gas gathering stations (GGS) of underground storage facilities have been carried out. It was found that the calculated filtration resistance coefficients do not allow to calculate the pressures at the gas gathering stations of the underground storage plant with sufficient accuracy. The magnitude of the discrepancy between the measured and calculated pressures on the GGS varies depending on the flow rate and operating time of wells. It is established that the calculation of depression (repression) of pressure in the bottomhole zones of wells in non-stationary conditions of their operation gives underestimated results. © 2023 IEEE.

关键词： Hydrodynamics

Fermionic tensor network methods

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arXiv 2024年

作者： Mortier, Quinten Devos, Lukas Burgelman, Lander Vanhecke, Bram Bultinck, Nick Verstraete, Frank Haegeman, Jutho Vanderstraeten, Laurens Department of Physics and Astronomy Ghent University Belgium University of Vienna Faculty of Physics Boltzmanngasse 5 Wien1090 Austria Department of Applied Mathematics and Theoretical Physics University of Cambridge United Kingdom Center for Nonlinear Phenomena and Complex Systems Université Libre de Bruxelles Belgium

We show how fermionic statistics can be naturally incorporated in tensor networks on arbitrary graphs through the use of graded Hilbert spaces. This formalism allows the use of tensor network methods for fermionic lattice systems in a local way, avoiding the need of a Jordan-Wigner transformation or the explicit tracking of leg crossings by swap gates in 2D tensor networks. The graded Hilbert spaces can be readily integrated with other internal and lattice symmetries, and only require minor extensions to an existing tensor network software package. We review and benchmark the fermionic versions of common algorithms for matrix product states and projected entangled-pair states. © 2024, CC BY.

关键词： Vector spaces

Generalizations of data-driven balancing: what to sample for different balancing-based reduced models

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arXiv 2023年

作者： Reiter, Sean Gosea, Ion Victor Gugercin, Serkan Department of Mathematics Division of Computational Modeling and Data Analytics Academy of Data Science Virginia Tech BlacksburgVA24061 United States Max Planck Institute for Dynamics of Complex Technical Systems Sandtorstr. 1 Magdeburg39106 Germany

The Quadrature-based Balanced Truncation (QuadBT) framework of [14] is a "non-intrusive" reformulation of balanced truncation;a classical projection-based model-order reduction technique for linear systems. QuadBT is non-intrusive in the sense that it builds approximate balanced reduced-order models entirely from system response data (e.g., transfer function measurements) without the need to reference an explicit state-space realization of the underlying full-order model. In this work, we generalize and extend QuadBT to other types of balanced truncation model reduction. Namely, we develop non-intrusive implementations for balanced stochastic truncation, positive-real balanced truncation, and bounded-real balanced truncation. We show that the data-driven construction of these balanced reduced-order models requires sampling certain spectral factors associated with the system of interest. Numerical examples are included in each case to validate our *** Codes 93B15 (Primary) 93A15, 37M99, 65D30, 65K99, 15A24 (Secondary) Copyright © 2023, The Authors. All rights reserved.

关键词： Linear systems

Metamaterials with Negative Compressibility Highlight Evolving Interpretations and Opportunities

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arXiv 2024年

作者： Nicolaou, Zachary G. Jiang, Feng Motter, Adilson E. Department of Applied Mathematics University of Washington SeattleWA98195 United States Department of Physics and Astronomy Northwestern University EvanstonIL60208 United States Center for Network Dynamics Northwestern University EvanstonIL60208 United States Department of Engineering Sciences and Applied Mathematics Northwestern University EvanstonIL60208 United States Northwestern Institute on Complex Systems Northwestern University EvanstonIL60208 United States

关键词： Compressibility

Synchronization in adaptive higher-order networks

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arXiv 2024年

作者： Anwar, Md. Sayeed Jenifer, S. Nirmala Muruganandam, Paulsamy Ghosh, Dibakar Carletti, Timoteo Physics and Applied Mathematics Unit Indian Statistical Institute 203 B. T. Road Kolkata700108 India Department of Mathematics Namur Institute for Complex Systems naXys University of Namur 2 rue Grafé NamurB5000 Belgium Department of Physics Bharathidasan University Tamil Nadu Tiruchirappalli620024 India

Many natural and human-made complex systems feature group interactions that adapt over time in response to their dynamic states. However, most of the existing adaptive network models fall short of capturing these group dynamics, as they focus solely on pairwise interactions. In this study, we employ adaptive higher-order networks to describe these systems by proposing a general framework incorporating both adaptivity and group interactions. We demonstrate that global synchronization can exist in those complex structures, and we provide the necessary conditions for the emergence of a stable synchronous state. Additionally, we analyzed some relevant settings, and we showed that the necessary condition is strongly related to the master stability equation, allowing to separate the dynamical and structural properties. We illustrate our theoretical findings through examples involving adaptive higher-order networks of coupled generalized Kuramoto oscillators with phase lag. We also show that the interplay of group interactions and adaptive connectivity results in the formation of stability regions that can induce transitions between synchronization and desynchronization. © 2024, CC BY.

关键词： Synchronization

Data-driven learning of reduced-order dynamics for a parametrized shallow water equation

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Data-driven learning of reduced-order dynamics for a paramet...

7th GAMM Juniors' Summer School on applied mathematics and Mechanics, SAMM 2020

作者： Yıldız, Süleyman Goyal, Pawan Benner, Peter Karasözen, Bülent Institute of Applied Mathematics Middle East Technical University Ankara Turkey Max Planck Institute for Dynamics of Complex Technical Systems Magdeburg Germany Department of Mathematics Middle East Technical University Ankara Turkey

We focus on an efficient low-dimensional data-driven model order reduction method for a parametrized shallow water equation (SWE), which reflects the dynamics of the equations on different latitudes. © 2021 Wiley... 详细信息

关键词： Equations of motion

A Novel Equilibrium Optimization Algorithm for Optimal Coordination of Directional Overcurrent Relays 1

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A Novel Equilibrium Optimization Algorithm for Optimal Coord...

1st International Conference on Engineering and Advanced Technology, ICEEAT 2023

作者： Djamel, Mohammedi Ridha Mustafa, Mosbah Rabie, Zine Abdelouahab, Khattara Sidi, Maawiya Ould Soufi, Yousef Ziane Achour University Applied Automation and Industrial Diagnostics Laboratory Djelfa Algeria Amar Telidji University Laghouat and University of Ghardaia LACoSERE Laboratory Department of Electrical Engineering Algeria Al Akhawayn University in Ifrane School of Science and Engineering Morocco Ghardaia University Energy Systems Modeling Laboratory Ghardaia Algeria Jouf University RT-M2A Laboratory Mathematics Department College of Science Sakaka Saudi Arabia Larbi Tebessi University Electrical Engineering Department Tebessa Algeria

ISBN: (纸本)9798350383485

Short circuit protection is considered an important task to provide reliability and correct performance of power system. For this reason, it is necessary to have a good choice of settings of various settings of current directional relay, in order to assure the effectiveness of tripping of protection device. The objective of this work is to optimize of Coordination of Directional Overcurrent Relays (This is achieved by optimizing the parameters Time-Dial Setting-or TDS and Pickup Current Setting-OR PCS). The optimization method used is new metaheuristic based on a newly proposed optimization technique, namely the Equilibrium Optimization (EO) algorithm. The goal of this study is to minimize the total operation time of all primary relays required to eliminate faults within their respective regions. This study was realized on IEEE 4-bus, 8-bus, and 15-bus networks under MATLAB2023a. The obtained results are compared with similar works in the literature. Results obtained demonstrate the efficacy of the proposed approach towards the minimization of the relay running time for an optimal coordination of Directional Overcurrent Relays (DOCRs). © 2023 IEEE.

关键词： Optimization

Recursive Filtering for Time-Varying Nonlinear Delayed systems with Stochastic Parameter Matrices and Censored Measurements

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Recursive Filtering for Time-Varying Nonlinear Delayed Syste...

第42届中国控制会议

作者： Shuo Yang Jun Hu Peixia Gao Ruijie Dong Zhihui Wu Department of Applied Mathematics Harbin University of Science and Technology Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems Harbin University of Science and Technology School of Automation Harbin University of Science and Technology

This paper discusses the design problem of recursive filtering method for time-varying nonlinear delayed systems(NDSs) with stochastic parameter matrices(SPMs) and censored *** particular,the Tobit Type Ⅰ model provides a description of the censored *** main objective of this paper is to construct a recursive filter for NDSs with both SPMs and censored *** upper bound of the filtering error covariance is first calculated via mathematical induction,and the upper bound is then minimized by choosing proper filter ***,a sufficient condition is provided to guarantee that the filtering error is uniformly bounded in the mean-square ***,the viability and applicability of the proposed filterin g method are demonstrated using a numerical simulation.

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Distributed Resilient State Estimation for Time-Varying Fractional-Order Discrete complex Networks with Encoding-Decoding Scheme

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Distributed Resilient State Estimation for Time-Varying Frac...

第42届中国控制会议

作者： Yu Chen Jun Hu Jiaxing Li Aozhan Zhou Hui Yu Department of Applied Mathematics Harbin University of Science and Technology Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems Harbin University of Science and Technology School of Automation Harbin University of Science and Technology

In this paper,the distributed state estimation method with resilient attenuation feature is proposed for time-varying fractional-order complex networks under encoding-decoding *** encoding-decoding-induced dynamic errors for distinct nodes are characterized by the truncated Gaussian *** order to compensate the effects induced by encodingdecoding scheme,the variances of encoding-decoding-induced dynamic errors are considered in process of designing the resilient distributed estimation *** particular,the upper bounds of updated estimation error covariances are derived ***,the upper bounds are minimized by constructing the gain matrices at each sampling ***,a sufficient condition is provided to guarantee the boundedness of estimation error dynamics in the mean-square ***,the validity of distributed resilient state estimation scheme is demonstrated by a simulation example.

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