A Meshless Collocation Method Based on Radial Basis Functions and Wavelets

Ho, S. L.; Yang, Shiyou; Wong, Hie Hua; Ni, Guangzheng

doi:10.1109/tmag.2004.824778

Cited by 30 publications

(13 citation statements)

References 6 publications

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“…In the context of consistency and linear independence, the bridging scales are used in order to preserve the mathematical properties. To validate this proposed method, a numerical example is utilized [228]. Chang-Hwan Im, et al, (2003) proposed a hybrid genetic algorithm (GA) for the optimization of electromagnetic topology.…”

Section: Soft Computing Techniques-based Optimization Used Pmsgsmentioning

confidence: 99%

Conceptual Framework of Antecedents to Trends on Permanent Magnet Synchronous Generators for Wind Energy Conversion System

Padmanathan¹,

Uma²,

Ramachandaramurthy³

et al. 2017

Preprint

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Abstract:The Wind Energy Conversion System (WECS) plays an inevitable role across the world. In particular, the attention for Permanent Magnet Synchronous Generators (PMSGs) connected with wind farm is popular. This paper deals with the literature review that describes the recent advances, progresses and innovatory trends on PMSGs for WECS. Comparison between geared and direct-driven conversion systems and the classification of electrical machines used in WECS are discussed. A detailed analysis on the design aspects considering various topologies of PMSGs are encompassed in the literature. The PMSG design and optimization problems are solved by field computation techniques and optimized by using Soft Computing (SC) techniques .The threedimensional, finite element software platform for the analysis and design of PMSGs is discussed. This paper also deals with the interdisciplinary modeling, analysis, and optimization of PMSG using Finite Element Analysis (FEM) and SC techniques. Finally, PMSGs are reviewed and compared for further exploration.

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Section: Soft Computing Techniques-based Optimization Used Pmsgsmentioning

confidence: 99%

Conceptual Framework of Antecedents to Trends on Permanent Magnet Synchronous Generators for Wind Energy Conversion System

Padmanathan¹,

Uma²,

Ramachandaramurthy³

et al. 2017

Preprint

View full text Add to dashboard Cite

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“…For the homogenous medium, the 2D Poisson equation of the static field problem in Cartesian system is followed 2 (6) and element expression of b…”

Section: Poisson Equation Formulation Of Rbf-mlmmentioning

confidence: 99%

Static-field problems solved by RBF-MLM with natural conformal node distribution

Lai¹,

Wang²,

Duan

2010

2010 International Conference on Microwave and Millimeter Wave Technology

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In this paper, MLM based on radial basis functions (MLM-RBF), which is widely applied to solve partial differential equations, is used to solve two dimensional (2D) Poisson equation of the static electric field irregular problem by taking advantage of MLM node random distribution. Three different node distribution schemes for problem boundaries are discussed. Natural conformal node distribution of the RBF-MLM is more easily implemented and computed more accurate field distribution in problem domain. Finally, example of the coaxial line with two circle boundaries is done by RBF-MLM with natural conformal node distribution.

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“…As a kind of global basis function, the coefficient matrix of RBF collocation method would be full and asymmetric, which restrict the application of this method for complex electromagnetic analysis with more interpolation nodes [2]. The boundary conditions and the interface condition of two different homogeneous medium are difficult to deal with using RBF [3], [4].…”

Section: Introductionmentioning

confidence: 99%

Hybrid Approach of Radial Basis Function and Finite Element Method for Electromagnetic Problems

et al. 2015

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This paper presents a novel approach for the analysis of electromagnetic problems, namely radial basis function (RBF) mixed with Galerkin finite element method (FEM). The new method divides computational domain into a series of sub-domains and uses the point interpolation based on RBF to obtain the shape functions, respectively. Then, each separate domain is taken as elements of the Galerkin FEM to approximate the solutions of the entire computational area. Using this method, the coefficient matrix becomes sparse; and strict meshing is not necessary. The hybrid method also combines the advantages of RBF and FEM, such as easy to handle complex boundary conditions for FEM and high efficient fitting for RBF. Two electromagnetic problems are computed to verify the method. Meanwhile, two traditional methods are also investigated to prove the advantages of the proposed method as a comparison.Index Terms-Finite element method (FEM), meshing method, radial basis function (RBF).

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A Meshless Collocation Method Based on Radial Basis Functions and Wavelets

Cited by 30 publications

References 6 publications

Conceptual Framework of Antecedents to Trends on Permanent Magnet Synchronous Generators for Wind Energy Conversion System

Conceptual Framework of Antecedents to Trends on Permanent Magnet Synchronous Generators for Wind Energy Conversion System

Static-field problems solved by RBF-MLM with natural conformal node distribution

Hybrid Approach of Radial Basis Function and Finite Element Method for Electromagnetic Problems

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