A new methodology to calculate Carter factor using genetic algorithms

Calixto, Wesley P.; Marra, Enes Gonçalves; Brito, Leonardo da Cunha; Alvarenga, Bernardo Pinheiro de

doi:10.1002/jnm.785

Cited by 10 publications

(7 citation statements)

References 17 publications

(24 reference statements)

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“…To plot an equipotential line between two surfaces of any geometry and determine its length is an easy task using the FEM. The Carter's factor is then calculated using Equation (13).…”

Section: Methodology Using the Finite Element Methodsmentioning

confidence: 99%

“…As expected, the intermediate induction line in the actual air gap is not a straight line. At this point, it is proposed to numerically calculate Carter's factor as the ratio of the intermediate induction line length to the actual width of the air‐gap geometry , as expressed in Equation :

k_{c} = \frac{\sum_{n} l_{n}}{L}

where l n (m) is the length of the n th segment of the induction line and L (m) is the width of the air gap, as shown in Figure .…”

Section: Carter Factor Formulationsmentioning

confidence: 99%

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Carter's factor calculation using domain transformations and the finite element method

Calixto

Alvarenga

Coimbra

et al. 2011

Int J Numerical Modelling

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SUMMARY The main purpose of this work is to present a methodology to calculate Carter's factor using the actual air‐gap geometry, that is, without simplifications of the slot geometry. The methodology is based on the finite element method, and its results are compared with some traditional procedures used for Carter's factor calculation and also with a domain transformation technique. It is shown that the finite element method and the domain transformation methodologies present similar results, which are different from the results obtained with traditional procedures. Copyright © 2011 John Wiley & Sons, Ltd.

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“…To plot an equipotential line between two surfaces of any geometry and determine its length is an easy task using the FEM. The Carter's factor is then calculated using Equation (13).…”

Section: Methodology Using the Finite Element Methodsmentioning

confidence: 99%

k_{c} = \frac{\sum_{n} l_{n}}{L}

where l n (m) is the length of the n th segment of the induction line and L (m) is the width of the air gap, as shown in Figure .…”

Section: Carter Factor Formulationsmentioning

confidence: 99%

Carter's factor calculation using domain transformations and the finite element method

Calixto

Alvarenga

Coimbra

et al. 2011

Int J Numerical Modelling

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“…2 illustrates Neumann's boundary conditions (blue and green lines), and red regions represent the known potential of Dirichlet condition applied to the rotor and the stator surface. L calculates Carter's factor [16], [17].…”

Section: Carter's Factormentioning

confidence: 99%

“…This case study shows that air-gap equipotential midline, defined by the magnetic equipotential line with minor influence by the air gap geometry, is not always located in the middle of the airgap. Different geometries of double slotted air gaps were considered and the results show that magnetic equipotential middle line position approach to the rotor surface or stator surface [16], [17].…”

Section: Case IIImentioning

confidence: 99%

Calculation of the influence of slot geometry on the magnetic flux density of the air gap

Lima

Coimbra

Liu

et al. 2017

TEEE

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The objective of this work is to investigate the influence of slotted air gap constructive parameters on magnetic flux density of rotating machines. For this purpose, different approaches were used to solve the air gap field diagram using finite element method and the magnetic field distribution uniformity was evaluated by Carter's factor calculation on two-dimensional and three-dimensional models. Sensitivity analysis of slot constructive parameters was performed and results show that slot geometry modifies the magnetic flux on air gap and shifts the air gap magnetic equipotential midline of double slotted machines. Finally, minimization of Carter’s factor on two-dimensional model presents an optimized slot geometry with a near uniform magnetic flux density distribution.

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“…Os operadores genéticos são necessários para que a população se diversifiquem e mantenham características de adaptação adquiridas pelas gerações anteriores. Os AG são robustos na solução de problemas de alta complexidade [8].…”

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Desenvolvimento de Operador Matemático para Algoritmos de Otimização Heurísticos Aplicado a Problema de Geoprospecção

Calixto

Pereira

Mota³

et al. 2014

Tend. Mat. Apl. Comput.

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RESUMO.O propósito deste trabalhoé apresentar um operador genético desenvolvido a partir dos métodos matemáticos de extrapolação de curva. Este operador irá auxiliar na produção de um indivíduo melhor adaptado na população do algoritmo genético com codificação real, reconhecendo padrões inerentes aos genes dos cromossomos dos melhores indivíduos de cada geração. O operador proposto em conjunto com o algoritmo genético de codificação realé comparado com cinco outros métodos diferentes de otimização aplicados a prospecção geoelétrica.Palavras-chave: otimização, operador matemático, algoritmo genético, codificação real. INTRODUÇÃOVários são os métodos de otimização existentes na literatura. Estes métodos podem ser divididos em dois grupos distintos; i) métodos determinísticos e ii) métodos heurísticos. Os algoritmos de otimização determinísticos nem sempre conseguem resolver problemas com alta ordem de complexidade, gastando elevado tempo de execução para obter resultados satisfatórios, em alguns casos inviabilizando o processo de otimização [1].Neste trabalho, um algoritmo genético (AG)é utilizado como método de otimização [2,3]. Os AG são métodos estocásticos de busca cega de soluções otimizadas [4]. Eles não dispõem de nenhum conhecimento específico do problema a ser resolvido, de maneira que a buscaé efetuada exclusivamente utilizando o valor da função de avaliação [5]. Eles não trabalham diretamente

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A new methodology to calculate Carter factor using genetic algorithms

Cited by 10 publications

References 17 publications

Carter's factor calculation using domain transformations and the finite element method

Carter's factor calculation using domain transformations and the finite element method

Calculation of the influence of slot geometry on the magnetic flux density of the air gap

Desenvolvimento de Operador Matemático para Algoritmos de Otimização Heurísticos Aplicado a Problema de Geoprospecção

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