Apêndice3_dimensionamento Com Hastes

8/18/2019 Apêndice3_dimensionamento Com Hastes

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APÊNDICE 3

DIMENSIONAMENTO

DE UM

SISTEMA DE ATERRAMENTO

UTILIZANDO HASTES

3 - 1


2/9

Exemplo: dimenion!men"o de #m i"em! de !"e$$!men"o p!$! #m! lo%!lid!de #"ili&!ndo'!"e de ()*m x 1+(”,

! Medi./e e0e"#!d! no lo%!l:

! mPon"o 1R 1 Ω

Pon"o (R ( Ω

Pon"o 3R 3 Ω

Pon"o *R * Ω

Pon"o 2R 2 Ω

Pon"o R Ω

Pon"o 4R 4 Ω

( (2 (5 (( (* (3 (4 (* 12 1( 13 (( 16 1* 146 * 4 2 3 * 41 ( 1 ( 1)2 1)* 1 1)(3( 5) 5) 5)3 5)* 5)2 5)6 5)

7 De"e$min!.8o do 9!lo$ mdio de $ei"i9id!de:

! m R mdi! Ω ρmdi! Ω,m

( (3); 355* 12)6 3;66 2)1* (261 1)** 1*23( 5)2* 15;

% De"e$min!.8o do de9io %om $el!.8o ! mdi!:

! m Pon"o 1 Pon"o ( Pon"o 3 Pon"o * Pon"o 2 Pon"o Pon"o 4( *)46 1)16 4)65 5)2; 3)5 13)1 6);4* 2)*( (*)3* 16)53 36)41 13)*; 11)43 4)1;6 (()16 1)43 3)1; ()4( *1)3 (()16 3)1;1 36)6; 35)2 36)6; *)14 ()46 35)2 1)43( 11)11 11)11 **)** (2);3 4)*1 *6)12 11)11

3 - (

R dee


3/9

δ> = 155,m

m

R

R R −

O de9io m?ximo em $el!.8o @ mdi! !$i"m"i%! e"8o "odo den"$o do 9!lo$ !dmi9el

25>) po$"!n"o) "odo o pon"o e$8o %onide$!do,

d E"$!"i0i%!.8o do olo:

ρ1 = ρB1 = (55 Ω,m

polo 51 !1 = 1m

ρB( = 3;2 Ω,m

polo 5( !( = )2m

ρB3 = (;5 Ω,m

polo 53 !3 = );m

3 - 3

ρ1=(55 Ω.m

ρ(=355 Ω.m

ρ3= Ω.m

ρ* = ;Ω.m

!1 =1m

!(= )2 m

!3 = ); m

m,255(55,2)(2)(C

(1

( Ω==∴= ρ ρ

ρ

m,

3;2

1

C 3

(

3 Ω==∴= ρ ρ

ρ

m,;3

(;531

C *

3

* Ω==∴= ρ ρ

ρ


4/9

e Red#.8o d! %!m!d! do olo:

de = );m

0 C?l%#lo do nme$o de '!"e ne%e?$i!:

1, U"ili&!ndo '!"e em p!$!lelo) %on0iF#$!.8o line!$: n = ;

d! 0iF#$! 3: "emo N = 5)6

loFo: ρ! = N , ρe = 5)6 , 313 = (25 Ω,m

d! "!7el! 2 p!$! n = ;: G = 5)1(1

3 - *

ρeD= 313 Ω.m

ρnH1= ;Ω.m

deD = );m

md d d

d d d eq ,313

2);)

255

12)

(55

1

;)

3

3

(

(

1

1

3(1Ω=

−+

−+

=

++

++=

ρ ρ ρ

ρ

4*)1;)

(

3-,1;

(

-,1

=

−

=

−

=

eqd

en

α

31)5313

;1==

+=

eq

n

ρ

ρ β

Ω=== 115

(

1,5(2*)5

*)(,*ln

*)(,(

(25*ln

(1

π π

ρ

d

L

L R

ah


5/9

R !" = , R 1' = 5,1(1 , 115 = 14)6 Ω

Temo R !" J R dee

R !"= 5)((43 , 116 = ()6 Ω

R !"= ()6 Ω

Temo #e R !" K R dee

R !" = 5)1466 , 111)2 = 1;); Ω

3 - 2

5;)1;)

(

3-,1

=

−

=α

Ω== 116

(

1,5(2*)5

*)(,*ln

*)(,(

(;1

π h R

2()1;)

(

3-,16

=

−

=α

Ω== 2)111

(1,5(2*)5

*)(,*ln

*)(,(

)(231

π h R


6/9

Po$"!n"o o i"em! de !"e$$!men"o pode$? e$ 0o$m!do po$ 6 '!"e em p!$!lelo) %om%on0iF#$!.8o line!$,

(, U"ili&!ndo '!"e em p!$!lelo) %on0iF#$!.8o line!$ %om "$!"!men"o #mi%o:Admi"indo-e n = 3 '!"e) "e$emo:

d! 0iF#$! 3) "e$emo: N = 5);ρ! = 5); , 313 = (6( Ω,m

β = 5)31

Ado"!$emo G T = 5)32

d! "!7el! 2 p!$! n= 3 : G= 5)*533

R !"= 5)*533 , *3)* = 14)2 Ω,

R !" J R dee


7/9

R !"= 5)233 , *2)4 = (2)43 K R dee

Po$"!n"o) !do"!$-e-? * '!"e emend!do ! *5 %m de p$o0#ndid!de) "o"!li&!ndo ;) m,

L= ()* , * = ;) m

lx = 3)1m ≥ (5 , ;) = 1);(m 5G

ρx = ; ,m J (55 Ω ,m 5G

R 1' = 1()4 Ω

3 - 4

L = 9 , 6 m

a=3,1m

deq=6,9m

0,4m

ρeq=313Ω.m

ρa=98Ω.m

Ω=== 4)1(

(

1,5(2*)5

);,*ln

);,(

;*ln

(1

π π

ρ

d

L

L R xh


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R !" = R 1' J R dee

Con%l#i-e #e o i"em! de !"e$$!men"o pode$? e$ %ompo"o po$ #m! ni%! '!"e p$o0#nd! de ;) m de %omp$imen"o,

F An?lie e%onmi%!:

C#"o P!$%i!l A"e$$!men"o %om6 '!"e !lin'!d!

A"e$$!men"o %om3 '!"e "$!"!d!

A"e$$!men"o %om'!"e p$o0#nd!

H!"e 6 , x 3 , x * , xConex8o C!7o+ '!"e 6 , 5)21 , x 3 , 5)21 , x 5)21 , xConex8o '!"e + '!"e - - 3 , 5)43 , xC!7o de %o7$e (1 , 5)36 , x , 5)36 , x -T$!"!men"o #mi%o - 3 , ()31 , x -

M8o de o7$! p!$! %$!9!.8od! '!"e

6 , 5)36 , x 3 , 5)36 , x * , 5)36 , x

M8o de o7$! p!$! ! 9!le"! (1 , 5)*4 , x , 5)*4 , x -M8o de o7$! p!$! !pli%!.8odo p$od#"o #mi%o

- 3 , 5)*3 , x -

C#"o "o"!l 3();4 , x 16);; , x 6)(( , x

P!$! !n?lie e%onmi%! %on%l#mo #e ! ol#.8o ide!l e$i! o !"e$$!men"o %ompo"o po$ '!"e p$o0#nd!,

3 - 6


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3 - ;

ESTRATIICAO DE SOLO

CONDIO DO SOLO MUITO MIDO

DATAQQQQ+QQQQ+QQQQQ

! m - R Ω ) (π! ρ= 2 π ! R ( Ω x m -(

*

613(

1(,2

(2,1(

25,(2155,25(55,1

LOCAL: REIONAL:

MIDO

NORMAL

SECO

EEMPLO

(3,6

12,6

2,1*1,**5,2* 15;

1*2(26

3;6

355

O1 ()2-

O( 1+6-

O3 1+3-

Apêndice3_dimensionamento Com Hastes

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