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FINITE-ELEMENT METHODS FOR JUNCTIONS OF MICROWAVE AND OPTICAL WAVE-GUIDES (INVITED)

IEEE TRANSACTIONS ON MAGNETICS 1990年第5期26卷 1754-1758页

作者： WEBB, JP Computational Analysis and Design Laboratory Electrical Engineering Department McGill University Montreal ONT Canada

It is noted that the finite-element method is capable of calculating the electromagnetic fields in many microwave and optical components and providing scattering matrices. Two approaches have been used: exciting the device with incident waves and calculating reflected waves; and exciting the device with applied voltages and calculating currents. It is pointed out that 3-D analysis is computationally expensive, but, fortunately, there are important classes of device amenable to analysis in 2-D. Optical components, which are usually unbounded, can be handled with the help of absorbing boundary conditions. Two examples are given: a rectangular-waveguide phase-shifter and a dielectric-waveguide transformer. It is concluded that developments such as automatic mesh generators, absorbing boundary conditions, and efficient sparse matrix techniques have made the finite-element method competitive with integral-equation approaches, and distinctly advantageous when there are several materials or complicated shapes to model.< >

关键词： Finite element methods Microwave theory and techniques Microwave devices Optical scattering Optical devices Boundary conditions Electromagnetic fields Electromagnetic scattering Voltage Dielectrics

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Joint design of Radar Receive Filter and Unimodular ISAC Waveform with Sidelobe Level Control

arXiv

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arXiv 2025年

作者： Zhang, Kecheng Liu, Ya-Feng Wang, Zhongbin Yuan, Weijie Keskin, Musa Furkan Wymeersch, Henk Xia, Shuqiang School of System Design and Intelligent Manufacturing The Shenzhen Key Laboratory of Robotics and Computer Vision Southern University of Science and Technology Shenzhen518055 China State Key Laboratory of Scientific and Engineering Computing Institute of Computational Mathematics and Scientific/Engineering Computing Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing100190 China Department of Electrical Engineering Chalmers University of Technology Gothenburg41296 Sweden ZTE Corporation The State Key Laboratory of Mobile Network and Mobile Multimedia Technology Shenzhen518055 China

Integrated sensing and communication (ISAC) has been considered a key feature of next-generation wireless networks. This paper investigates the joint design of the radar receive filter and dual-functional transmit waveform for the multiple-input multiple-output (MIMO) ISAC system. While optimizing the mean square error (MSE) of the radar receive spatial response and maximizing the achievable rate at the communication receiver, besides the constraints of full-power radar receiving filter and unimodular transmit sequence, we control the maximum range sidelobe level, which is often overlooked in existing ISAC waveform design literature, for better radar imaging performance. To solve the formulated optimization problem with convex and nonconvex constraints, we propose an inexact augmented Lagrangian method (ALM) algorithm. For each subproblem in the proposed inexact ALM algorithm, we custom-design a block successive upper-bound minimization (BSUM) scheme with closed-form solutions for all blocks of variable to enhance the computational efficiency. Convergence analysis shows that the proposed algorithm is guaranteed to provide a stationary and feasible solution. Extensive simulations are performed to investigate the impact of different system parameters on communication and radar imaging performance. Comparison with the existing works shows the superiority of the proposed algorithm. © 2025, CC BY-NC-SA.

关键词： Mean square error

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A classical virtual work force method for time-harmonic eddy-current analysis

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IEEE TRANSACTIONS ON MAGNETICS 1996年第3期32卷 1673-1676页

作者： McFee, S Computational Analysis and Design Laboratory Department of Electrical Engineering McGill University Montreal QUE Canada

The calculation of accurate and consistent forces is an essential part of the computational analysis and design of many time-harmonic eddy-current systems. While most of the magnetostatic force formulations have been extended to quasistatic applications, a viable equivalent to the multiple solution Classical Virtual Work method (CVW) has not been established. An effective and efficient CVW-type method for the calculation of time-averaged net forces and torques in time-harmonic eddy-current systems is derived. The computational performance of the method is tested and evaluated using finite element analysis.

关键词： Magnetic analysis Magnetostatics Testing Finite element methods Performance analysis

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SIMULATION OF THE TRANSIENT AND SUBTRANSIENT REACTANCES OF A LARGE HYDROGENERATOR BY FINITE-ELEMENTS

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IEEE TRANSACTIONS ON POWER APPARATUS AND SYSTEMS 1984年第7期103卷 1788-1794页

作者： ASHTIANI, CN LOWTHER, DA Computational Analysis and Design Laboratory Department of Electrical Engineering McGill University Montreal Canada

This paper describes a method for the computation of the transient and subtransient reactances of synchronous machines by finite elements. It employs the concept that boundary conditions may be used to isolate different regions of the problem domain. By using this approach, the regions of the problem domain which contain induced currents in the transient and subtransient regimes, are isolated. Great simplification of the problem is gained as a result of this practice. The method is implemented on a large water-wheel generator with first order nonlinear triangular elements. Extreme load levels as well as armature flux angles have been examined. The computational results in all the cases studied show a good accordance with the manufacturer's shop-floor tests.

关键词： Finite element methods Transient analysis Nonlinear equations Probes Differential equations computational modeling Laboratories Synchronous machines Boundary conditions Computer aided manufacturing

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SIMULATION OF THE STEADY-STATE REACTANCES OF A LARGE WATER-WHEEL GENERATOR BY FINITE-ELEMENTS

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IEEE TRANSACTIONS ON POWER APPARATUS AND SYSTEMS 1984年第7期103卷 1781-1787页

作者： ASHTIANI, CN LOWTHER, DA Computational Analysis and Design Laboratory Department of Electrical Engineering McGill University Montreal Canada

Finite elements have been widely used for the prediction of turbogenerators steady-state reactances. In comparison, water-wheel generators have received little attention in the literature. The present paper, while explaining the difficulties associated with the analysis of salient pole machines, describes a new method for the prediction of the steady-state reactances of a hydrogenerator. The method is applied to a large water-wheel generator and the computed reactances are compared with those obtained from the manufacturer's shop-floor tests.

关键词： Steady-state Finite element methods Couplings Computer aided manufacturing Rotors Magnetic confinement Magnetic flux Belts Frequency Circuit testing

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A high-order full-discretization method using Hermite interpolation for periodic time-delayed differential equations

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Acta Mechanica Sinica 2015年第3期31卷 406-415页

作者： Yilong Liu Achim Fischer Peter Eberhard Baohai Wu Key Laboratory of Contemporary Design and Integrated Manufacturing Technology Northwestern Polytechnical University Institute of Engineering and Computational Mechanics University of Stuttgart

A high-order full-discretization method （FDM） using Hermite interpolation （HFDM） is proposed and implemented for periodic systems with time delay. Both Lagrange interpolation and Hermite interpolation are used to approximate state values and delayed state values in each discretization step. The transition matrix over a single period is determined and used for stability analysis. The proposed method increases the approximation order of the semidiscretization method and the FDM without increasing the computational time. The convergence, precision, and efficiency of the proposed method are investigated using several Mathieu equations and a complex turning model as examples. Comparison shows that the proposed HFDM converges faster and uses less computational time than existing methods.

关键词： Full-discretization method Time delay -Stability Chatter

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A TUNABLE VOLUME INTEGRATION FORMULATION FOR FORCE CALCULATION IN FINITE-ELEMENT BASED computational MAGNETOSTATICS

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IEEE TRANSACTIONS ON MAGNETICS 1988年第1期24卷 439-442页

作者： MCFEE, S WEBB, JP LOWTHER, DA Computational Analysis and Design Laboratory Department of Electrical Engineering McGill University Montreal Canada

A generalized formulation for net magnetostatic loading force calculation is derived from the Maxwell stress expression. The formulation yields a combined surface and volume integration method based on the magnetic flux density and an arbitrary scalar function g. The most interesting feature of the technique is its flexibility. For one choice of g, the method reduces to a distributed Maxwell stress scheme; for another, it yields a generalized version of the Coulomb virtual work implementation. With the introduction of an intelligent g-function based on local field-error, the new formulation yields a fully automatic method suitable for extracting accurate and consistent forces from imperfect numerical solutions. It is implemented for two-dimensional first-order finite elements, and two illustrative test problems are analyzed. The performance of the scheme is compared to the Maxwell stress and Coulomb approaches.

关键词： Magnetic flux density stresses loading forces Maxwell Stress (mechanics) azimuth plane Stressing FINITE ELEMENT test problem Scheme Flexibility SCALAR FUNCTIONS Stress

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UNIVERSAL FINITE-ELEMENT MATRICES FOR TETRAHEDRA

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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN engineering 1982年第7期18卷 1055-1061页

作者： SILVESTER, PP Computational Analysis and Design Laboratory Department of Electrical Engineering McGill University Montreal Quebec Canada

Methods are described for forming element matrices for a wide variety of operators on tetrahedral finite elements, in a manner similar to that previously employed for line segments and triangles. This technique models the differentiation and product-embedding operators as rectangular matrices, and produces finite element matrices by replacing all required analytic operations by their finite matrix analogues. The method is illustrated by deriving the conventional matrix representation for Laplace's equation. Computer programs are available, which generate universal finite element matrices for use in various applications.

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A nodal based evolutionary structural optimisation algorithm

A nodal based evolutionary structural optimisation algorithm

引用

9th International Conference on Computer Aided Optimum design in engineering, OPTI 2005

作者： Chen, Y.-M. Keane, A.J. Hsiao, C. Computational Engineering and Design Centre United Kingdom

ISBN: (纸本)1845640160

This paper proposes a simple and interesting algorithm dealing with structural shape, topology and thickness optimisation simultaneously. The proposed approach is based on an interesting idea of migrating boundary nodes in an iterative manner. An intuitive nodal-based evolutionary structural algorithm drives the optimisation process. Finite element analysis is required at each stage to reveal the relative stress distribution of the evolving structure, from which the lowly stressed edge nodes are identified as design variables and shift towards the higher stressed areas within the design domain during optimisation. Migrating the geometry boundary nodes directly changes the structural shape and thus perform shape optimisation. By introducing a fixed shape circular cavity into the evolving structure during optimisation initiates topology optimisation. Further shifting the cavity boundary nodes during optimisation gradually reveals the structural topology. In addition, nodal thickness is gradually decreased to enhance the reduction of structural weight. One feature of this nodal based approach is that by employing boundary nodal coordinates as design variables the interior finite element mesh becomes irrelevant to the shape definition of structures, thus unstructured mesh may be used. This enhances the compatibility on integrating the proposed algorithm with auto-meshing capability which is incorporated in most commercial finite element software today. A couple of benchmark problems, including the classical MBB beam, are used for illustration purposes. © 2005 WIT Press.

关键词： Structural optimization

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INTERACTIVE COMPUTER-AIDED-design IN MAGNETICS

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IEEE TRANSACTIONS ON MAGNETICS 1981年第6期17卷 3388-3392页

作者： SILVESTER, PP Computational Analysis and Design Laboratory Department of Electrical Engineering McGill University Montreal Canada

design considerations underlying present interactive CAD systems are discussed. Two-dimensional general purpose packages now exist, with good graphics support. The computer-aided design process closely parallels that of classical design, but with a more formal working protocol. The impact of current and probable future computer terminal hardware on CAD is reviewed briefly.

关键词： computational modeling Laboratories design automation Computer simulation Magnetic materials Solid modeling Concurrent computing Magnetic properties Materials testing Robustness

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