7/27/2019 Eletromag Fim
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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
2/14
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
___________________________________________________________________
7/27/2019 Eletromag Fim
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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
___________________________________________________________________
7/27/2019 Eletromag Fim
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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
___________________________________________________________________
7/27/2019 Eletromag Fim
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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
___________________________________________________________________
7/27/2019 Eletromag Fim
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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
8/14
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
___________________________________________________________________
7/27/2019 Eletromag Fim
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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
___________________________________________________________________
7/27/2019 Eletromag Fim
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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
___________________________________________________________________
7/27/2019 Eletromag Fim
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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
___________________________________________________________________
7/27/2019 Eletromag Fim
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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.
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