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Relatrio Trabalho de simulao eletromagntica

Para pbi=1000; pc=1; pa=2000; n=650 ;i=1; gap=.25

Neste caso, vemos uma concentrao de densidade de fluxo no lado de largura ta dosolenide, pois o trecho que envolvido pela bobina. Tal resultado tambm refletiu nos

grficos de linha de fluxo e no vetorial.

SUMMARY OF FORCES BY VIRTUAL WORKLoad Step Number: 1.Substep Number: 1.Time: 0.1000E+01Units of Force: ( N )Component Force-Y

ARM -0.69935E+01__________________________________

SUMMARY OF FORCES BY MAXWELL STRESS TENSORUnits of Force: ( N )Component Force-Y

ARM -0.67788E+01__________________________________

Note: Maxwell forces are in the Global Cartesian coordinate system.Virtual work forces are in the element ESYS coordinate system.

The forces correspond to a full 360 degree revolution of the crosssection (an axisymmetric model).

The following element table items are available for printing andplotting of the forces obtained by Virtual Work and the Maxwell Stress

Tensor methods.Element Item Name Method Direction

FVW_Y Virtual Work YFMX_Y Maxwell Stress Y

___________________________________________________________________

7/27/2019 Eletromag Fim

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para n = 200

Agora reduzimos o nmero de espiras para 200 e vemos densidade, linhas de fluxo e

vetores concentrados nos mesmos pontos do ensaio anterior. Isso ocorre porque no houve

mudanas nas dimenses do solenide, ou seja, variam os valores das densidades de fluxo,

como observado, mas continuam concentrados nos mesmos pontos de antes. J a foraresultante diminui em relao ao primeiro ensaio, observamos que tanto a densidade de

fluxo (proporcional) e o numero de espiras (inv. proporcional) diminuram, porm a

densidade de fluxo teve uma queda mais acentuada, acarretando assim a reduo da foraresultante.

SUMMARY OF FORCES BY VIRTUAL WORKLoad Step Number: 1.Substep Number: 1.Time: 0.1000E+01Units of Force: ( N )Component Force-Y

ARM -0.66211E+00__________________________________

SUMMARY OF FORCES BY MAXWELL STRESS TENSORUnits of Force: ( N )Component Force-Y

ARM -0.64178E+00__________________________________Note: Maxwell forces are in the Global Cartesian coordinate system.Virtual work forces are in the element ESYS coordinate system.

The forces correspond to a full 360 degree revolution of the crosssection (an axisymmetric model).

The following element table items are available for printing andplotting of the forces obtained by Virtual Work and the Maxwell Stress

Tensor methods.Element Item Name Method Direction

FVW_Y Virtual Work YFMX_Y Maxwell Stress Y

___________________________________________________________________

7/27/2019 Eletromag Fim

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para n=1000

A anlise dos grficos anloga ao caso de n = 200. Quanto fora resultante,

observamos que a densidade de fluxo subiu, mas o nmero de espiras cresceu mais

acentuadamente, acarretando assim na reduo da fora resultante.

SUMMARY OF FORCES BY VIRTUAL WORKLoad Step Number: 1.Substep Number: 1.Time: 0.1000E+01Units of Force: ( N )Component Force-Y

ARM -0.16553E+02__________________________________

SUMMARY OF FORCES BY MAXWELL STRESS TENSORUnits of Force: ( N )Component Force-Y

ARM -0.16045E+02__________________________________Note: Maxwell forces are in the Global Cartesian coordinate system.Virtual work forces are in the element ESYS coordinate system.

The forces correspond to a full 360 degree revolution of the crosssection (an axisymmetric model).

The following element table items are available for printing andplotting of the forces obtained by Virtual Work and the Maxwell Stress

Tensor methods.Element Item Name Method Direction

FVW_Y Virtual Work YFMX_Y Maxwell Stress Y

___________________________________________________________________

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para i=10

As densidades de fluxo seguem concentradas nos mesmos pontos. Nota-se tambm

um natural aumento da densidade de fluxo e da fora resultante em relao ao primeiro

ensaio, j que ambos so proporcionais corrente.

SUMMARY OF FORCES BY VIRTUAL WORKLoad Step Number: 1.Substep Number: 1.Time: 0.1000E+01Units of Force: ( N )Component Force-Y

ARM -0.69935E+03__________________________________

SUMMARY OF FORCES BY MAXWELL STRESS TENSORUnits of Force: ( N )Component Force-Y

ARM -0.67788E+03__________________________________Note: Maxwell forces are in the Global Cartesian coordinate system.Virtual work forces are in the element ESYS coordinate system.

The forces correspond to a full 360 degree revolution of the crosssection (an axisymmetric model).

The following element table items are available for printing and

plotting of the forces obtained by Virtual Work and the Maxwell StressTensor methods.

Element Item Name Method DirectionFVW_Y Virtual Work YFMX_Y Maxwell Stress Y

___________________________________________________________________

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para i= -10

Invertemos a corrente mas mantivemos o seu mdulo. A anlise dos grficos, da

densidade de fluxo e da fora resultante anloga anterior, exceto o grfico vetorial que

tem o seu sentido tambm invertido devido Lei de Lenz.

SUMMARY OF FORCES BY VIRTUAL WORKLoad Step Number: 1.Substep Number: 1.Time: 0.1000E+01Units of Force: ( N )Component Force-Y

ARM -0.69935E-05__________________________________

SUMMARY OF FORCES BY MAXWELL STRESS TENSORUnits of Force: ( N )Component Force-Y

ARM -0.67788E-05__________________________________Note: Maxwell forces are in the Global Cartesian coordinate system.Virtual work forces are in the element ESYS coordinate system.

The forces correspond to a full 360 degree revolution of the crosssection (an axisymmetric model).

The following element table items are available for printing and

plotting of the forces obtained by Virtual Work and the Maxwell StressTensor methods.

Element Item Name Method DirectionFVW_Y Virtual Work YFMX_Y Maxwell Stress Y

___________________________________________________________________

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para gap=1

A partir de agora, mexemos nas dimenses do solenide. Dessa vez aumentamos o

tamanho do gap, que j tinha uma concentrao pequena de densidade de fluxo que ficou

ainda menor com o conseqente aumento da rea. Assim, ta passou a concentrar ainda mais

densidade de fluxo. Esse aumento de rea tambm refletiu na fora resultante, ao qual inversamente proporcional, fazendo-a cair consideravelmente em relao ao primeiro

ensaio. A intensidade densidade de fluxo, inversamente proporcional rea, tambm

diminuiu.

SUMMARY OF FORCES BY VIRTUAL WORKLoad Step Number: 1.Substep Number: 1.Time: 0.1000E+01Units of Force: ( N )Component Force-Y

ARM -0.29437E+00__________________________________

SUMMARY OF FORCES BY MAXWELL STRESS TENSORUnits of Force: ( N )Component Force-Y

ARM -0.29020E+00__________________________________Note: Maxwell forces are in the Global Cartesian coordinate system.Virtual work forces are in the element ESYS coordinate system.

The forces correspond to a full 360 degree revolution of the crosssection (an axisymmetric model).

The following element table items are available for printing andplotting of the forces obtained by Virtual Work and the Maxwell Stress

Tensor methods.Element Item Name Method Direction

FVW_Y Virtual Work YFMX_Y Maxwell Stress Y

___________________________________________________________________

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para gap=.1

Temos uma situao contrria anterior: com o gap menor, sua rea diminui e ele

passa a concentrar mais fluxo do que antes. Tambm faz aumentar a fora resultante e a

prpria intensidade da densidade de fluxo, pelos motivos j explicados anteriormente.

SUMMARY OF FORCES BY VIRTUAL WORKLoad Step Number: 1.Substep Number: 1.Time: 0.1000E+01Units of Force: ( N )Component Force-Y

ARM -0.38403E+02__________________________________

SUMMARY OF FORCES BY MAXWELL STRESS TENSORUnits of Force: ( N )Component Force-Y

ARM -0.38004E+02__________________________________Note: Maxwell forces are in the Global Cartesian coordinate system.Virtual work forces are in the element ESYS coordinate system.

The forces correspond to a full 360 degree revolution of the crosssection (an axisymmetric model).

The following element table items are available for printing and

plotting of the forces obtained by Virtual Work and the Maxwell StressTensor methods.

Element Item Name Method DirectionFVW_Y Virtual Work YFMX_Y Maxwell Stress Y

___________________________________________________________________

7/27/2019 Eletromag Fim

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para ta=2

Neste caso vemos a rea relativa a ta aumentar consideravelmente, ocasionando uma

natural desconcentrao na densidade de fluxo observada nos grficos. A intensidade da

densidade de fluxo cai pelo mesmo motivo. Observamos tambm um aumento da fora

resultante, causado pelo aumento do caminho magntico.SUMMARY OF FORCES BY VIRTUAL WORKLoad Step Number: 1.Substep Number: 1.Time: 0.1000E+01Units of Force: ( N )Component Force-Y

ARM -0.27154E+02__________________________________

SUMMARY OF FORCES BY MAXWELL STRESS TENSORUnits of Force: ( N )Component Force-Y

ARM -0.26700E+02__________________________________Note: Maxwell forces are in the Global Cartesian coordinate system.Virtual work forces are in the element ESYS coordinate system.

The forces correspond to a full 360 degree revolution of the cross

section (an axisymmetric model).The following element table items are available for printing andplotting of the forces obtained by Virtual Work and the Maxwell Stress

Tensor methods.Element Item Name Method Direction

FVW_Y Virtual Work YFMX_Y Maxwell Stress Y

___________________________________________________________________

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para tb=2

Agora a rea que aumenta relativa tb. Como a mesma j concentrava pouca

densidade de fluxo, agora concentrar menos ainda, aumentando a concentrao em ta.

Devido a esse aumento de rea, a intensidade da densidade de fluxo sofre ligeira queda, e

com o aumento do caminho magntico a fora resultante sofreu um tambm ligeiroaumento.

SUMMARY OF FORCES BY VIRTUAL WORKLoad Step Number: 1.Substep Number: 1.Time: 0.1000E+01Units of Force: ( N )Component Force-Y

ARM -0.69982E+01__________________________________

SUMMARY OF FORCES BY MAXWELL STRESS TENSORUnits of Force: ( N )Component Force-Y

ARM -0.67835E+01__________________________________Note: Maxwell forces are in the Global Cartesian coordinate system.Virtual work forces are in the element ESYS coordinate system.

The forces correspond to a full 360 degree revolution of the crosssection (an axisymmetric model).

The following element table items are available for printing andplotting of the forces obtained by Virtual Work and the Maxwell Stress

Tensor methods.Element Item Name Method Direction

FVW_Y Virtual Work YFMX_Y Maxwell Stress Y

___________________________________________________________________

7/27/2019 Eletromag Fim

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para tc=2

Mais uma vez aumentamos um trecho do solenide que concentra pouca densidade

de fluxo. Assim essa rea passa a concentrar ainda menos fluxo e a rea relativa ta ainda

mais densidade de fluxo (j era antes a rea de maior concentrao). Assim notamos um

aumento na intensidade da densidade de fluxo em pontos prximos ta e diminuio domesmo prximo tc, pelo motivo j explicado. Vemos tambm um aumento na fora

resultante causado mais uma vez pelo aumento do caminho magntico, porm dessa vez o

aumento mais acentuado devido ao maior tamanho do trecho aumentado .

SUMMARY OF FORCES BY VIRTUAL WORKLoad Step Number: 1.Substep Number: 1.Time: 0.1000E+01Units of Force: ( N )Component Force-Y

ARM -0.85124E+01__________________________________

SUMMARY OF FORCES BY MAXWELL STRESS TENSORUnits of Force: ( N )Component Force-Y

ARM -0.82738E+01__________________________________Note: Maxwell forces are in the Global Cartesian coordinate system.Virtual work forces are in the element ESYS coordinate system.

The forces correspond to a full 360 degree revolution of the crosssection (an axisymmetric model).

The following element table items are available for printing andplotting of the forces obtained by Virtual Work and the Maxwell Stress

Tensor methods.Element Item Name Method Direction

FVW_Y Virtual Work YFMX_Y Maxwell Stress Y

___________________________________________________________________

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para td=2

Novamente aumentamos uma rea de pouca concentrao de densidade de fluxo,

fazendo mesmo se espalhar em outros pontos do solenide, notadamente ta. Assim,

percebemos um aumento na intensidade da densidade de fluxo nesses outros pontos, pelo

mesmo motivo alegado no item anterior. A fora resultante sofre um ligeiro amento devidoao tambm ligeiro aumento do caminho magntico.

SUMMARY OF FORCES BY VIRTUAL WORKLoad Step Number: 1.Substep Number: 1.Time: 0.1000E+01Units of Force: ( N )Component Force-Y

ARM -0.69869E+01__________________________________

SUMMARY OF FORCES BY MAXWELL STRESS TENSORUnits of Force: ( N )Component Force-Y

ARM -0.68800E+01__________________________________Note: Maxwell forces are in the Global Cartesian coordinate system.Virtual work forces are in the element ESYS coordinate system.

The forces correspond to a full 360 degree revolution of the crosssection (an axisymmetric model).

The following element table items are available for printing andplotting of the forces obtained by Virtual Work and the Maxwell Stress

Tensor methods.Element Item Name Method Direction

FVW_Y Virtual Work YFMX_Y Maxwell Stress Y

___________________________________________________________________

7/27/2019 Eletromag Fim

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para ta=1;tb=1;tc=.75;td=1

Agora aumentamos as dimenses do solenide mas mantemos as propores, ou

seja, ta = tb = td > tc. Mas agora os valores esto mais prximos. Isso significa que ta

continuar concentrando a maior parte da densidade de fluxo, porm as outras reas passam

a concentrar tambm uma quantidade maior, em detrimento de ta. Esse aumentogeneralizado das reas causado pelos aumentos de ta, tb, tc e td faz com que a fora

resultante diminua.

SUMMARY OF FORCES BY VIRTUAL WORKLoad Step Number: 1.Substep Number: 1.Time: 0.1000E+01Units of Force: ( N )Component Force-Y

ARM -0.11878E+02__________________________________

SUMMARY OF FORCES BY MAXWELL STRESS TENSORUnits of Force: ( N )Component Force-Y

ARM -0.11752E+02__________________________________

Note: Maxwell forces are in the Global Cartesian coordinate system.Virtual work forces are in the element ESYS coordinate system.

The forces correspond to a full 360 degree revolution of the crosssection (an axisymmetric model).

The following element table items are available for printing andplotting of the forces obtained by Virtual Work and the Maxwell Stress

Tensor methods.Element Item Name Method Direction

FVW_Y Virtual Work YFMX_Y Maxwell Stress Y

___________________________________________________________________

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para pbi=3000

Agora ns triplicamos a permeabilidade do ferro. Com isso ns temos uma queda

grande na relutncia do ferro e um conseqente crescimento da intensidade de densidade de

fluxo e tambm da fora resultante, ambas inversamente proporcionais relutncia. Pelos

grficos tambm notamos um aumento generalizado da concentrao da densidade de fluxonos pontos do solenide.

SUMMARY OF FORCES BY VIRTUAL WORKLoad Step Number: 1.Substep Number: 1.Time: 0.1000E+01Units of Force: ( N )Component Force-Y

ARM -0.73146E+01__________________________________

SUMMARY OF FORCES BY MAXWELL STRESS TENSORUnits of Force: ( N )Component Force-Y

ARM -0.70898E+01__________________________________Note: Maxwell forces are in the Global Cartesian coordinate system.Virtual work forces are in the element ESYS coordinate system.

The forces correspond to a full 360 degree revolution of the crosssection (an axisymmetric model).

The following element table items are available for printing andplotting of the forces obtained by Virtual Work and the Maxwell Stress

Tensor methods.Element Item Name Method Direction

FVW_Y Virtual Work YFMX_Y Maxwell Stress Y

___________________________________________________________________

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para pbi = infinito

Agora temos a permeabilidade do ferro tendendo para o infinito. Dessa forma, a sua

relutncia tende a zero, o que aumenta a intensidade da densidade de fluxo e a fora

resultante, pelos motivos explicados no item anterior. Porm nos grficos notamos as

maiores concentraes de densidade de fluxo nas partes mais interiores do estator, o maisprximo possvel da bobina.