Article
Engineering, Aerospace
Norberto Goizueta, Andrew Wynn, Rafael Palacios
Summary: A new interpolation strategy for parametric reduced-order models of dynamic aeroelastic systems is introduced in this study, which aims to accelerate the numerical exploration of these systems. The strategy combines Krylov-subspace projection and adaptive sampling to obtain realizations of the models in the parameter space efficiently.
Article
Mathematics
Harmandeep Singh, Janak Raj Sharma
Summary: The objective of this study is to develop iterative methods with higher convergence order and minimal mathematical computations. Two sixth order methods were designed using limited Jacobian matrices, matrix inversions, and functional evaluations. These methods demonstrate exceptional computational efficiency and numerical performance, particularly for large-scale systems.
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS
(2022)
Article
Mathematics
Masoumeh Firouzjahi, Bashir Naderi, Yousef Edrisi Tabriz
Summary: This paper focuses on the adaptive consensus problem of incommensurate chaotic fractional order multiagent systems. The paper introduces the fractional-order derivative in the sense of Caputo and the classical stability theorem of linear fractional order systems. It also presents algebraic graph theory and sufficient conditions for ensuring consensus in fractional multiagent systems. Furthermore, the paper designs adaptive protocols using local information for each agent and provides a detailed analysis of the leader-following consensus. Numerical simulation examples are given to demonstrate the effectiveness of the proposed results.
JOURNAL OF MATHEMATICS
(2022)
Article
Engineering, Electrical & Electronic
Elizabeth Rita Samuel, Kranthi Kumar Deveerasetty
Summary: The paper discusses a model order reduction technique for interval systems using Laguerre polynomial method and singular value decomposition. This technique reduces computational complexity, ensures stability, and preserves the properties of the original system. Numerical results validate the effectiveness of the proposed technique with examples from literature.
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
(2021)
Article
Energy & Fuels
Sajjan Pokhrel, Leyla Amiri, Ahmad Zueter, Sebastien Poncet, Ferri P. Hassani, Agus P. Sasmito, Seyed Ali Ghoreishi-Madiseh
Summary: In cold climates, a borehole thermal storage system plays a key role in providing renewable energy for heating purposes year-round. Recent attention has been given to coaxial borehole heat exchangers due to their superiority, requiring further research to understand and enhance the heat transfer mechanism. A simplified numerical model has been developed and validated against experimental data for application in solar borehole thermal energy storage systems, showcasing accurate and efficient estimation capabilities for such systems in residential buildings in Ontario, Canada.
Article
Engineering, Aerospace
Zahra Samadikhoshkho, Shahab Ghorbani, Farrokh Janabi-Sharifi
Summary: This paper proposes a vision-based control method for handling nonlinear and coupled aerial continuum manipulation systems (ACMSs). The method utilizes vision feedback and adaptive control to effectively address the nonlinearities, coupling, and uncertainties present in typical ACMSs.
AEROSPACE SCIENCE AND TECHNOLOGY
(2022)
Article
Engineering, Electrical & Electronic
Fengwei Chen, Zhipeng Deng, Hongsheng Hu, Yue Sun
Summary: This letter presents a novel method for building dynamic control models for wireless power transfer systems under phase or variable frequency control. The method utilizes polynomial approximation technique to simplify the models and explain the dominant behavior of the system. Experimental results show that even a simple first-order model can effectively capture the dynamic behavior of the system.
IEEE TRANSACTIONS ON POWER ELECTRONICS
(2022)
Article
Green & Sustainable Science & Technology
Miao Zhang, Zhixin Miao, Lingling Fan
Summary: This study aims to build a simplified analytical model to investigate low-frequency oscillations observed in a solar PV farm. Two simplified models are proposed, one assuming constant input power from the PV's dc side and the other representing the PV's dc side with a constant dc voltage behind an impedance. Comparison with an EMT testbed showed that the second simplified model accurately predicts oscillation stability.
IEEE TRANSACTIONS ON SUSTAINABLE ENERGY
(2021)
Article
Automation & Control Systems
Wei Xu, Qizhe Wang, Yi Liu, Xiang Li, Kaiju Liao
Summary: This article proposes an adaptive full-order observer with a simple structure, which can provide accurate displacement estimation signals and achieve resonant frequency tracking control, thus further enhancing the efficiency and reducing the cost of linear oscillatory machines.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
(2022)
Article
Automation & Control Systems
Joseph Lorenzetti, Andrew McClellan, Charbel Farhat, Marco Pavone
Summary: This article proposes a reduced-order model predictive control scheme to solve robust, output feedback, constrained optimal control problems for high-dimensional linear systems. Computational efficiency is achieved using projection-based reduced-order models, with guarantees on robust constraint satisfaction and stability.
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
(2022)
Article
Automation & Control Systems
Zhengqiang Zhang, Qiufeng Wang, Shuzhi Sam Ge, Yanjun Zhang
Summary: In this article, a robust adaptive output-feedback control approach is introduced for a class of nonlinear systems with parameter uncertainties and time-varying disturbances. By utilizing feedback design and boundary estimation technique, estimation of unknown disturbances and reconstruction of states have been achieved. Simulation results demonstrate the effectiveness of the proposed method in the closed-loop control system.
IEEE TRANSACTIONS ON CYBERNETICS
(2022)
Article
Engineering, Electrical & Electronic
Boming Liu, Murat Akcakaya, Thomas E. McDermott
Summary: This study proposes a reduced order model to speed up the simulation of transactive energy systems. The model utilizes recurrent neural networks with long short-term memory units to enable collective participation of transactive elements and achieve significant simulation time reduction.
IEEE TRANSACTIONS ON SMART GRID
(2022)
Article
Automation & Control Systems
Kangwagye Samuel, Roberto Oboe, Sehoon Oh
Summary: This article introduces a reduced-order multisensor-based force observer for accurately estimating the force exerted on a load, which excels in noise attenuation and offset compensation. The observer design includes tools for analysis and evaluation of its performance.
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
(2022)
Article
Engineering, Electrical & Electronic
Zhongwei Deng, Xiaosong Hu, Xianke Lin, Le Xu, Jiacheng Li, Wenchao Guo
Summary: The study applied model reduction methods to obtain a reduced-order model for all-solid-state batteries, allowing for fast calculation of internal electrochemical information and achieving higher performance and a better tradeoff.
IEEE TRANSACTIONS ON TRANSPORTATION ELECTRIFICATION
(2021)
Article
Engineering, Multidisciplinary
Alexander V. Mamonov, Maxim A. Olshanskii
Summary: This paper presents a reduced order model (ROM) for numerical integration of a dynamical system with multiple parameters. The ROM utilizes compressed tensor formats to find a low rank representation for high-fidelity snapshots of the system state. The computational cost of the online phase depends only on tensor compression ranks, making it efficient and accurate.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Mathematics, Applied
Peter Benner, Jan Heiland, Steffen W. R. Werner
Summary: This paper investigates the computation method of stable solutions with indefinite quadratic terms in large-scale sparse continuous-time algebraic Riccati equations, and tests and evaluates the performance by comparing with other matrix equation solvers.
NUMERICAL ALGORITHMS
(2023)
Article
Engineering, Biomedical
Lourdes Albina Nirupa Julius, Lukas Matter, Nils Schuergers, Johannes Luetzenkirchen, Vanessa Trouillet, Teba Gil-Diaz, Emil R. Mamleyev, Annegret Wilde, Vlad Badilita, Jan G. Korvink
Summary: This study investigated different substrates for studying phototactic twitching motility of cyanobacteria and found that surfaces with a water contact angle of 80 degrees showed increased cell motility compared to a reference glass surface. Plasma-treated PDMS surfaces exhibited similar motility to glass surfaces, while untreated PDMS surfaces showed close to zero motility.
ACTA BIOMATERIALIA
(2023)
Article
Engineering, Electrical & Electronic
M. Meissner, P. T. While, D. Mager, J. G. Korvink
Summary: This paper proposes a design, microfabrication process, and evaluation of a magnetic field gradient chip based on nuclear magnetic resonance (NMR). The uni-axial linear z-gradient coil design is computed using a stream-function method to minimize power dissipation. The gradient coils are fabricated on two bi-planes using Cu electroplating and photo definable dry-film laminates. The fabrication process includes the use of an initial seed layer as a back-side mask and resistive temperature detectors. The coil design and electroplating process are optimized to enhance the electroplated height and construct low-resistive coils. The assembled gradient coil and radio frequency micro coil are subjected to a one-dimensional NMR experiment using a micro-engineered phantom to demonstrate field linearity.
JOURNAL OF MICROMECHANICS AND MICROENGINEERING
(2023)
Article
Mathematics, Applied
Peter Benner, Davide Palitta, Jens Saak
Summary: This study proposes the use of the extended Krylov subspace method to solve the computationally expensive step of the low-rank ADI method in solving shifted linear systems in large-scale Lyapunov equations. By constructing a single approximation space to solve all the required shifted linear systems, the prescribed accuracy in terms of Lyapunov residual norm can be achieved.
NUMERICAL ALGORITHMS
(2023)
Article
Chemistry, Analytical
Siyang Hu, Ulrike Fitzer, Khai Chau Nguyen, Dennis Hohlfeld, Jan G. Korvink, Tamara Bechtold
Summary: In recent years, topology optimization has been proven to be the cutting-edge technology in mechanical structure design, while energy harvesting has gained significant attention in both research and industry. This work presents a novel topology optimization approach for a multi-resonant piezoelectric energy-harvester device, aiming to develop a broadband design that can generate constant power output over a range of frequencies, ensuring reliable operation under changing environmental conditions. The optimization results suggest a promising design with satisfactory frequency characteristics.
Article
Engineering, Mechanical
Emil R. Mamleyev, Chun Him Lee, Jan G. Korvink, Manfred Kohl, Kirill V. Poletkin
Summary: This paper presents the results of a comprehensive study on the pull-in phenomenon in a hybrid levitation microactuator. Square-shaped proof masses of different sizes were electromagnetically levitated and their pull-in actuation was measured. The study found that the pull-in actuation is nonlinearly dependent on the size, mass, and levitation height of the proof masses. Extensive simulation and direct comparison with experimental results showed a good agreement between theory and experiments.
Article
Chemistry, Physical
Jing Yang, Peng Wang, Jan G. Korvink, Juergen J. Brandner, Soeren Lehmkuhl
Summary: A method to control the operation of a RASER at a magnetic field of 1.45 T is introduced, using a continuous-flow RASER pumped by PHIP. The system demonstrates five RASER phenomena and matches with simulations based on a theoretical model of two nonlinear-coupled RASER modes.
Article
Engineering, Electrical & Electronic
Riccardo Torchio, Francesco Lucchini, Mattia Filippini, Daniele Romano, Lihong Feng, Peter Benner, Giulio Antonini
Summary: This paper demonstrates the application of Model Order Reduction to Integral Equation methods in order to accelerate Full-Maxwell lightning strike analyses. Additionally, the layered Green's function theory is utilized to accurately account for the presence of a semi-infinite layered ground region, eliminating the need for approximations or challenging modeling issues.
IEEE TRANSACTIONS ON POWER DELIVERY
(2023)
Article
Engineering, Multidisciplinary
Peter Benner, Jan Heiland
Summary: In this work, a multidimensional Galerkin proper orthogonal decomposition method is proposed to reduce the complexity of quantifying multivariate uncertainties in partial differential equations. The analytical framework and results are provided to define and quantify the low-dimensional approximation. An application for uncertainty modeling using polynomial chaos expansions is illustrated, showing the efficiency of the proposed method.
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
(2023)
Editorial Material
Chemistry, Physical
Jing Yang, Peng Wang, Jan G. Korvink, Juergen J. Brandner, Soeren Lehmkuhl
Article
Engineering, Electrical & Electronic
Sridhar Chellappa, Lihong Feng, Valentin de la Rubia, Peter Benner
Summary: A reliable model order reduction process for parametric analysis in electromagnetics is presented in this paper, with a focus on certifying the accuracy of the reduced-order model. A sharp state error estimator is proposed to overcome the challenges of a posteriori error estimation for systems with very small or vanishing inf-sup constant. Numerical experiments on real-life microwave devices validate the effectiveness and efficiency of the proposed methodology.
IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES
(2023)
Article
Mathematics, Applied
Peter Benner, Serkan Gugercin, Steffen W. R. Werner
Summary: This paper discusses the model order reduction problem for multi-input/multi-output bilinear control systems and proposes a tangential interpolation method and a structure-preserving interpolation framework. The explicit conditions on the projection spaces are derived to enforce tangential interpolation, including tangential Hermite interpolation. The analysis is validated through three numerical examples.
NUMERISCHE MATHEMATIK
(2023)
Article
Mathematics, Applied
Peter Benner, Yuji Nakatsukasa, Carolin Penke
Summary: The paper proposes a spectral divide-and-conquer scheme for effective diagonalization of specific types of matrices. The method is well suited for structured matrices in computational quantum physics and chemistry, and it exhibits good convergence properties.
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS
(2023)
Article
Multidisciplinary Sciences
Pawan Goyal, Peter Benner
Summary: Measurement noise is a crucial factor in data collection for physical processes. This study introduces a methodology that combines deep neural networks with neural ordinary differential equations to learn differential equations from noisy and irregularly sampled measurements. The proposed framework effectively models vector fields under noisy measurements and can handle scenarios with unavailable dependent variables on the same temporal grid. The method is demonstrated to be effective for learning models from data obtained from various differential equations and performs better than the neural ordinary differential equation method without special treatment to noise. An ensemble approach is also discussed to further improve the performance of the proposed method.
ROYAL SOCIETY OPEN SCIENCE
(2023)
Article
Mathematics
Peter Benner, Paul Van Dooren
Summary: In this note, the compatibility conditions of 2D descriptor systems with periodic coefficients are analyzed and a special coordinate system is derived to simplify these conditions into simple matrix commutativity conditions. The compatibility of different trajectories in such periodic systems is elegantly formulated using matrix relations of regular pencils. The extension of these ideas to multidimensional periodic descriptor systems is also discussed, along with the difference between complex and real coefficient matrices.
ELECTRONIC JOURNAL OF LINEAR ALGEBRA
(2023)
