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TítuloUna formulación de elementos de contorno para el cálculo de potenciales transferidos por redes de tierra

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(1)Preprint of the paper: "A BEM formulation for computing grounding transferred potentials" I. Colominas, J. Gómez-Calviño, F. Navarrina, M. Casteleiro (2002) Proceedings del "II Congreso Internacional de Métodos Numéricos en Ingeniería y Ciencias Aplicadas". Guanajuato, México. http://caminos.udc.es/gmni.

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(9) M. ? ? eq!*!7 W=eiy]!7 eW yWpeWyei? yV O ]yeW]yV7 V_Ny]V*V7. VDU ‚R Zts 8sjjs PB„8sIs }B„ ;(M {BtIZ{B„‚R {$j?tI„${BR I‚ I$? s8‚„B {BtRst‚ wd1Mx 88D ‚t‚„„sIBR s Zts }„BPZtI$IsI I‚ M( {8 wjsR I$8‚tR$Bt‚R I‚ js „‚I I‚ $‚„„sR ‚R I‚ d;x ( E1 D Ns hZ„s 8Z‚R„s js I$R„$AZ{$? Bt I‚ }B‚t{$sj‚R ‚t js RZ}‚„h{$‚ I‚j ‚„„‚tB {ZstIB $‚t‚ jZs„ Zts I‚„$%s{$? Bt I‚ {B„„$‚t‚ sj ‚„„‚tB s „s%?‚R I‚ I${Ys 8sjjs {BtR$I‚„stIB Zt 8BI‚jB I‚ ‚„„‚tB $R? B„B}B k YB8B?‚t‚B I‚ „‚R$R$%$IsI E( 8 7‚Z$Is8‚t‚ R‚ stsj$9s ‚j 8$R8B }„BAj‚8s }‚„B {BtR$I‚„stIB js ‚-$R‚t{$s I‚ IBR „s?j‚R I‚ dn( 8 ‚t jsR }„B-$8$IsI‚R I‚ js „‚I I‚ $‚„„sR {B8B R‚ 8Z‚R„s ‚t ‚j ‚RJZ‚8s ] eRBR „s?j‚R s{? Zst {B8B Zt R$R‚8s {BtIZ{B„ }sR$%B JZ‚ sIJZ$‚„‚ Zt I‚‚„8$tsIB t$%‚j I‚ }B‚t{$sj {ZstIB R‚ }„BIZ{‚ js I‚R{s„s ‚t js „‚I I‚ $‚„„sR w{B„„‚RT }BtI‚ s js R$Zs{$? Bt AD I‚ js ‚-}BR${$? Bt }„‚%$sD et js hZ„s * R‚ 8Z‚R„s js I$R„$AZ{$? Bt I‚ }B‚t{$sj‚R ‚t js RZ}‚„h{$‚ I‚j ‚„„‚tB „sR ‚j st? sj$R$R k RZ}‚„}BR${$? Bt I‚ ‚RsIBR ‚j‚8‚tsj‚R NsR I$P‚„‚tT {$sR ‚t jsR „‚R$R‚t{$sR ‚JZ$%sj‚t‚R I‚j R$R‚8s I‚ $‚„„sR ‚t s8AsR R$Zs{$Bt‚R RBt }B{B R$t$h{s$%sR w(nnE P„‚t‚ s (nd1 D sR? {BT 8B s8A$?‚t jsR ‚tR$Bt‚R I‚ }sRB k {Bts{B ‚t js 9Bts {ZA$‚„s }B„ js 8sjjs I‚ $‚„„sR W? B‚R‚ R$t ‚8As„B js $8}B„st‚ I$P‚„‚t{$s ‚t jBR }B‚t{$sj‚R ‚t js RZ}‚„h{$‚ I‚j ‚„„‚tB ‚t js 9Bts B{Z}sIs }B„ jBR „s?j‚RU sj k {B8B R‚ }„‚%‚?s js }„‚R‚t{$s I‚ ‚R‚ R$R‚8s }sR$%B B„$$T ts Zts YB8B‚t‚$9s{$? Bt I‚ jBR %sjB„‚R I‚j }B‚t{$sj ‚t js RZ}‚„h{$‚ I‚j ‚„„‚tB ‚t RZR $t8‚I$s{$Bt‚R R$ R‚ {B8}s„st jsR hZ„sR k * }Z‚I‚t BAR‚„%s„R‚ s8A$?‚t 9BtsR I‚ „sI$‚t‚R I‚ }B‚t{$sj 8Z{YB 8skB„‚R ‚t I‚‚„8$tsIsR „‚$Bt‚R I‚j ‚„„‚tB IBtI‚ tB ‚„st ‚R}‚„sT IBR wI‚ Y‚{YB R‚ {BtRsst ‚tR$Bt‚R I‚ }sRB I$‚9 %‚{‚R RZ}‚„$B„‚R ‚t Zt 8$R8B }ZtB ‚t„‚ Zt {sRB k B„BD. x. ]Bt{jZR$Bt‚R. et ‚R‚ s„?{ZjB R‚ Ys „‚%$RsIB ‚j 8BI‚jB 8s‚8? s${B I‚j P‚t? B8‚tB P?R${B JZ‚ RZAks{‚ s js I$R$}s{$? Bt I‚ {B„„$‚t‚ ‚j?‚{„${s ‚t Zt ‚„„‚tB s „s%?‚R I‚ Zts B8s I‚ $‚„„s k R‚ Yst „‚RZ8$IB jBR sR}‚{BR 8? sR RBA„‚Rsj$‚t‚R I‚ js PB„8Zjs{$? Bt tZ8?‚„${s I‚ ‚j‚8‚tBR I‚ {BtB„tB I‚Rs„„BjjsIs }B„ jBR sZB„‚R }s„s ‚j st? sj$R$R I‚ ‚R‚ $}B I‚ }„BAj‚T 8sR VR$8$R8B R‚ Ys }„‚R‚tsIB Zts PB„8Zjs{$? Bt tZ8?‚„${s JZ‚ }B„ }„$8‚„s %‚9 }‚„8$‚ {sj{Zjs„ k {Zst$h{s„ jBR ‚P‚{BR I‚A$IBR s jBR }BT ‚t{$sj‚R „stRP‚„$IBR ‚t Zts $tRsjs{$? Bt ‚j?‚{„${s }B„ js }„‚R‚t{$s I‚.

(10) y ]!N!yWV7 ‚ sj \ =ts PB„8Zjs{$?Bt }s„s ‚j {?sj{ZjB I‚ }B‚t{$sj‚R „stRP‚„$IBR . ‚j‚8‚tBR {BtIZ{B„‚R ‚t‚„„sIBR ‚t jsR }„B-$8$IsI‚R I‚ Zts B8s I‚ $‚„„s. V„sI‚{$8$‚tBR eR‚ „sAs`B Ys R$IB }s„{$sj8‚t‚ htst{$sIB }B„ js 7p_y]q I‚j $t$R‚„$B I‚ ]$‚t{$s k q‚{tBjB?s w'd3*T(d(MD sR? {B8B }B„ js 7‚{„‚s„?s ‚„sj I‚ yL* I‚ js Zts I‚ psj${$s k }B„ js =t$%‚„R$IsI I‚ Ns ]B„ZK ts 8‚I$st‚ }„Bk‚{BR k A‚{sR I‚ $t%‚R$s{$? Bt ie3eieW]yV7 >dH yeee 7IM( yeee pZ$I‚ PB„ RsP‚k $t V] RZARs$Bt „BZtI$t W‚b OB„, d >1H iF <‚}}‚ ]B8}Zs$Bt BP }B‚t$sj s RZ„Ps{‚ sAB%‚ st ‚t‚„T $9‚I „$I B„ BY‚„ ‚j‚{„BI‚ yeee q _V7 M wdD dMTdMM >nH *N ps„„‚ Fp _„Z$ _„BAj‚8R ‚t{BZt‚„‚I b$Y Y‚ V_ BP stsjk9$t RZARs$Bt „BZtI$t RkR‚8R yeee q„ _Bb‚„ V}T }s„ 7kR‚8R d(; wdMxD nxMETnxE >;H y ]BjB8$tsR ]? sj{ZjB k *V! I‚ B8sR I‚ $‚„„s ‚t $tRsjsT {$Bt‚R ‚j?‚{„${sRU =ts PB„8Zjs{$? Bt tZ8?‚„${s AsRsIs ‚t ‚j ?‚BT IB I‚ ej‚8‚tBR I‚ ]BtB„tB q‚R$R *B{B„sj Ns ]B„ZK ts dx >xH y ]BjB8$tsR 3 Ws%s„„$ts  ]sR‚j‚$„B V e tZ8‚„${sj s}T }„Bs{Y PB„ „BZtI$t „$I {B8}Zs$Bt ]B8}Z ‚YBIR V}}j ‚{Y et„ d; wdD nT( >EH  ]sR‚j‚$„B NV <‚„t? stI‚9 y ]BjB8$tsR 3 Ws%s„„$ts 7$RT ‚8s q!q e I‚ *V! I‚ B8sR I‚ $‚„„s I‚ $tRsjs{$Bt‚R ‚j?‚{„${sR eq7y]]_ Ns ]B„ZK ts d; >H y ]BjB8$tsR 3 Ws%s„„$ts  ]sR‚j‚$„B V tZ8‚„${sj PB„8ZT js$Bt PB„ „BZtI$t stsjkR$R $t R„s$h‚I RB$jR yeee q„ _Bb‚„ *‚j$%‚„k wdD >‚t }„‚tRsH >MH y ]BjB8$tsR F p? B8‚9T]sj%$K tB 3 Ws%s„„$ts  ]sR‚j‚$„B ]B8} VtsjkR BP es„Y$t 7kR $t <B„$9Btsjjk\z‚„${sjjk NskT ‚„‚I 7B$jR ej‚{„${ _Bb‚„ 7kR‚8R i‚R‚s„ x w1((dD d;TdxE ? >H e *Z„stI ej‚{„BRs$JZ‚ sRRBt _s„$R dEE >d(H 3 Ws%s„„$ts y ]BjB8$tsR  ]sR‚j‚$„B GYk IB {B8}ZT ‚„ 8‚YBIR PB„ „BZtI$t stsjkR$R }„BIZ{‚ stB8sjBZR „‚RZjR2 yeee q„ _Bb‚„ *‚j$%‚„k w1(((D >‚t }„‚tRsH.

(11) d(. ? ? eq!*!7 W=eiy]!7 eW yWpeWyei? yV O ]yeW]yV7 V_Ny]V*V7. RED DE TIERRA. 140. 120. 100. 80. 60. 40. 20. 0 0. A). 20. 40. Line y=0 60. 80. B). RED DE TIERRA. 140. RAÍLES. 120. 100. 80. 60. 40. 20. 0 0. C). 20. 40. Line y=0 60. 80. D).

(12)

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