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ɎȿȾȿɊȺɅɖɇɈȿ ȺȽȿɇɌɋɌȼɈ ɉɈ ɌȿɏɇɂɑȿɋɄɈɆɍ ɊȿȽɍɅɂɊɈȼȺɇɂɘ ɂ ɆȿɌɊɈɅɈȽɂɂ ɇȺɐɂɈɇȺɅɖɇɕɃ ɋɌȺɇȾȺɊɌ ɊɈɋɋɂɃɋɄɈɃ ɎȿȾȿɊȺɐɂɂ ȽɈɋɌ Ɋ ɆɗɄ 60287-2-1- 2009 Ʉɚɛɟɥɢ ɷɥɟɤɬɪɢɱɟɫɤɢɟ. Ɋɚɫɱɟɬ ɧɨɦɢɧɚɥɶɧɨɣ ɬɨɤɨɜɨɣ ɧɚɝɪɭɡɤɢ ɑɚɫɬɶ 2-1 ɌȿɉɅɈȼɈȿ ɋɈɉɊɈɌɂȼɅȿɇɂȿ. ɊȺɋɑȿɌ ɌȿɉɅɈȼɈȽɈ ɋɈɉɊɈɌɂȼɅȿɇɂə IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation of thermal resistance (IDT) Ɇɨɫɤɜɚ ɋɬɚɧɞɚɪɬɢɧɮɨɪɦ 2009 ɉɪɟɞɢɫɥɨɜɢɟ ɐɟɥɢ ɢ ɩɪɢɧɰɢɩɵ ɫɬɚɧɞɚɪɬɢɡɚɰɢɢ ɜ Ɋɨɫɫɢɣɫɤɨɣ Ɏɟɞɟɪɚɰɢɢ ɭɫɬɚɧɨɜɥɟɧɵ Ɏɟɞɟɪɚɥɶɧɵɦ ɡɚɤɨɧɨɦ ɨɬ 27 ɞɟɤɚɛɪɹ 2002 ɝ. 184-ɎɁ «Ɉ ɬɟɯɧɢɱɟɫɤɨɦ ɪɟɝɭɥɢɪɨɜɚɧɢɢ», ɚ ɩɪɚɜɢɥɚ ɩɪɢɦɟɧɟɧɢɹ ɧɚɰɢɨɧɚɥɶɧɵɯ ɫɬɚɧɞɚɪɬɨɜ Ɋɨɫɫɢɣɫɤɨɣ Ɏɟɞɟɪɚɰɢɢ - ȽɈɋɌ Ɋ 1.0-2004 «ɋɬɚɧɞɚɪɬɢɡɚɰɢɹ ɜ Ɋɨɫɫɢɣɫɤɨɣ Ɏɟɞɟɪɚɰɢɢ. Ɉɫɧɨɜɧɵɟ ɩɨɥɨɠɟɧɢɹ» ɋɜɟɞɟɧɢɹ ɨ ɫɬɚɧɞɚɪɬɟ 1 ɉɈȾȽɈɌɈȼɅȿɇ Ɉɬɤɪɵɬɵɦ ɚɤɰɢɨɧɟɪɧɵɦ ɨɛɳɟɫɬɜɨɦ «ȼɫɟɪɨɫɫɢɣɫɤɢɣ ɧɚɭɱɧɨ- ɢɫɫɥɟɞɨɜɚɬɟɥɶɫɤɢɣ, ɩɪɨɟɤɬɧɨ-ɤɨɧɫɬɪɭɤɬɨɪɫɤɢɣ ɢ ɬɟɯɧɨɥɨɝɢɱɟɫɤɢɣ ɢɧɫɬɢɬɭɬ ɤɚɛɟɥɶɧɨɣ ɩɪɨɦɵɲɥɟɧɧɨɫɬɢ (ɈȺɈ «ȼɇɂɂɄɉ») ɧɚ ɨɫɧɨɜɟ ɫɨɛɫɬɜɟɧɧɨɝɨ ɚɭɬɟɧɬɢɱɧɨɝɨ ɩɟɪɟɜɨɞɚ ɫɬɚɧɞɚɪɬɚ, ɭɤɚɡɚɧɧɨɝɨ ɜ ɩɭɧɤɬɟ 4 2 ȼɇȿɋȿɇ Ɍɟɯɧɢɱɟɫɤɢɦ ɤɨɦɢɬɟɬɨɦ ɩɨ ɫɬɚɧɞɚɪɬɢɡɚɰɢɢ ɌɄ 46 «Ʉɚɛɟɥɶɧɵɟ ɢɡɞɟɥɢɹ» 3 ɍɌȼȿɊɀȾȿɇ ɂ ȼȼȿȾȿɇ ȼ ȾȿɃɋɌȼɂȿ ɉɪɢɤɚɡɨɦ Ɏɟɞɟɪɚɥɶɧɨɝɨ ɚɝɟɧɬɫɬɜɚ ɩɨ ɬɟɯɧɢɱɟɫɤɨɦɭ ɪɟɝɭɥɢɪɨɜɚɧɢɸ ɢ ɦɟɬɪɨɥɨɝɢɢ ɨɬ 26 ɢɸɧɹ 2009 ɝ. 218-ɫɬ 4 ɇɚɫɬɨɹɳɢɣ ɫɬɚɧɞɚɪɬ ɢɞɟɧɬɢɱɟɧ ɦɟɠɞɭɧɚɪɨɞɧɨɦɭ ɫɬɚɧɞɚɪɬɭ ɆЭɄ 60287-2-1:1994 «Ʉɚɛɟɥɢ ɷɥɟɤɬɪɢɱɟɫɤɢɟ. Ɋɚɫɱɟɬ ɧɨɦɢɧɚɥɶɧɨɣ ɬɨɤɨɜɨɣ ɧɚɝɪɭɡɤɢ. ɑɚɫɬɶ 2-1. Ɍɟɩɥɨɜɨɟ ɫɨɩɪɨɬɢɜɥɟɧɢɟ. Ɋɚɫɱɟɬ ɬɟɩɥɨɜɨɝɨ ɫɨɩɪɨɬɢɜɥɟɧɢɹ» (IEC 60287-2-1:1994 «Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation of thermal resistance») ɫ ɂɡɦɟɧɟɧɢɹɦɢ 1 (2001 ɝ.), 2 (2006 ɝ.) ɢ ɩɨɩɪɚɜɤɨɣ 1 (2008 ɝ.), ɤɨɬɨɪɵɟ ɜɵɞɟɥɟɧɵ ɜ ɬɟɤɫɬɟ ɫɥɟɜɚ ɞɜɨɣɧɨɣ ɜɟɪɬɢɤɚɥɶɧɨɣ ɥɢɧɢɟɣ. ɉɪɢ ɩɪɢɦɟɧɟɧɢɢ ɧɚɫɬɨɹɳɟɝɨ ɫɬɚɧɞɚɪɬɚ ɪɟɤɨɦɟɧɞɭɟɬɫɹ ɢɫɩɨɥɶɡɨɜɚɬɶ ɜɦɟɫɬɨ ɫɫɵɥɨɱɧɵɯ ɦɟɠɞɭɧɚɪɨɞɧɵɯ ɫɬɚɧɞɚɪɬɨɜ ɫɨɨɬɜɟɬɫɬɜɭɸɳɢɟ ɢɦ ɧɚɰɢɨɧɚɥɶɧɵɟ ɫɬɚɧɞɚɪɬɵ Ɋɨɫɫɢɣɫɤɨɣ Ɏɟɞɟɪɚɰɢɢ, ɫɜɟɞɟɧɢɹ ɨ ɤɨɬɨɪɵɯ ɩɪɢɜɟɞɟɧɵ ɜ ɞɨɩɨɥɧɢɬɟɥɶɧɨɦ ɩɪɢɥɨɠɟɧɢɢ Ⱥ 5 ȼȼȿȾȿɇ ȼɉȿɊȼЫȿ ɂɧɮɨɪɦɚɰɢɹ ɨɛ ɢɡɦɟɧɟɧɢɹɯ ɤ ɧɚɫɬɨɹщɟɦɭ ɫɬɚɧɞɚɪɬɭ ɩɭɛɥɢɤɭɟɬɫɹ ɜ ɟɠɟɝɨɞɧɨ ɢɡɞɚɜɚɟɦɨɦ ɢɧɮɨɪɦɚɰɢɨɧɧɨɦ ɭɤɚɡɚɬɟɥɟ «ɇɚɰɢɨɧɚɥɶɧɵɟ ɫɬɚɧɞɚɪɬɵ», ɚ ɬɟɤɫɬ ɢɡɦɟɧɟɧɢɣ ɢ ɩɨɩɪɚɜɨɤ - ɜ ɟɠɟɦɟɫɹɱɧɨ ɢɡɞɚɜɚɟɦɵɯ ɢɧɮɨɪɦɚɰɢɨɧɧɵɯ ɭɤɚɡɚɬɟɥɹɯ «ɇɚɰɢɨɧɚɥɶɧɵɟ
Transcript
Page 1: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

60287-2-1-

2009

.

2-1

.

IEC 60287-2-1:1994

Electric cables - Calculation of the current rating - Part 2-1: Thermal

resistance - Calculation of thermal resistance

(IDT)

2009

27 2002 . № 184- « »,

- 1.0-2004

« . »

1 « -

, -

( « »)

, 4

2 46 « »

3

26 2009 . № 218-

4 Э 60287-2-1:1994

« . . 2-1.

. » (IEC 60287-2-1:1994 «Electric cables -

Calculation of the current rating - Part 2-1: Thermal resistance - Calculation of thermal resistance»)

№ 1 (2001 .), № 2 (2006 .) № 1 (2008 .),

.

,

5 Ы

щ

« »,

- «

Page 2: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

». В ( ) щ

щ

« ». щ ,

щ щ

-

1

1.1

1.2

2

2.1 , , 1, 2 T3

2.2 T4

3 ,

3.1

3.2 Δθs ( 8)

( )

Э 60287 ,

.

, :

1 - ;

2 - ;

3 - .

, , .

, Э 60287, ,

.

( ,

) ( ,

).

,

,

. ,

,

. ,

, , , ,

, .

, ,

. ,

, ,

. ,

, ,

( , ,

Page 3: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

, ).

, , ,

,

, .

.

, ,

. ,

,

, (

[1]).

, ,

[1].

60287-2-1-2009

.

2-1

.

Electric cables. Calculation of the current rating. Part 2-1. Thermal resistance. Calculation of

thermal resistance

- 2010-01-01

1 щ

1.1

5 ,

, , ,

, , . « »

(100 %-

), ,

.

.

, ,

. Э

:

- , ( ,

),

, ;

- , ,

, ,

;

- , ,

( ,

).

1.2

:

Page 4: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

D'a - , ;

Dd - , ;

De -

, , ; *

eD - , 2.2.1, ;

D - , ;

Ds - , ;

Doc - ,

, ;

Dot - ,

, , Dot= Dit + 2ts;

Dic - ,

, , Dic = Doc - 2ts;

Dit - ,

, ;

E - , 2.2.1.1;

F1 - , 2.1.1.2.2;

F2 - , 2.1.1.2.5;

G - ;

G -

( SL)

( SA);

- ( . 2.2.1.2), /2;

К - ;

КА - , 2.2.1;

L - (

), ;

LG - , ;

N - ( . 2.2.7.3);

1 - , ⋅ / ;

2 - , ⋅ / ;

3 - , ⋅ / ;

4 - (

), ⋅ / ; *

4T - ,

⋅ / ;

4T ′ - ( ), ⋅ / ;

4T ′′ - ( ), ⋅ / ;

4T ′′′ - , ( ), ⋅ / ;

⎭⎬⎫

V

U - , 2.2.7.1;

Wd - , / ;

Wk - , / , / ;

WTOT - , , , / ;

Y - , 2.2.7.1;

Z - , 2.2.1.1;

da - , ;

dc - , ;

Page 5: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

dcm - , ;

dcM - , ;

dM - , ;

dm - , ;

dx -

, , ;

g - , 2.2.1.1;

h - , /2 5/4

;

ln - ( );

- ;

- , ( .

2.2.6.2), ;

r1 - , , ;

s1 - ,

, , ;

t - , ;

t1 - , ;

t2 - , ;

t3 - , ;

ti - ,

, ;

ts - , ;

u - eD

L2 ( . 2.2.2);

- b

G

r

L ( . 2.2.7.3);

, - ( > ) ( . 2.2.7.3), ;

θm - ( ), ° ; Δθ - ,

; Δθd - , 4

, , ; Δθds - ,

, , *

4T

8, ; Δθduct -

, ; Δθs -

, ; Δθtr - , ; λ1, λ2 - ,

(

);

m1λ ′ -

;

11λ′ -

;

12λ ′ -

;

}

,

,

,

.

ρi - , ⋅ / ;

Page 6: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

ρf - , ⋅ / ; ρ - , , ⋅ / ; ρ - , , ⋅ / ; ρm - , ⋅ / ; ρT - , ⋅ / ; σ - .

2

2.1 , щ , Т1, Т2 T3

1, 2 T3 ( . Э 60287-1-1, 1.4).

,

, 1.

,

, (

) .

.

2.1.1 Т1

2.1.1.1

1

,2

1ln2

11 ⎥⎦

⎤⎢⎣⎡ +=

c

T

d

tT π

ρ (1)

ρT - , ⋅ / ;

dc - , ;

t1 - , .

- t1

:

.2

socit t

DD −⎟⎠⎞⎜⎝

⎛ +

2.1.1.2

1

,2

1 GT Tπρ= (2)

G - .

- t1

:

.2

socit t

DD −⎟⎠⎞⎜⎝

⎛ +

2.1.1.2.1

G 2.

2.1.1.2.2

G

Page 7: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

,2

ln21

1 ⎥⎦⎤⎢⎣

⎡=r

dFG a (3)

( ) ;2

2,211

ttd

tF

x −++= π

da - , ;

r1 - , , ;

dx -

, , ;

t - , .

2.1.1.2.3

1

( ) ,031,02

167,0

1cd

t

ifi eGT ρρπ

ρ −+= (4)

ρi - , ⋅ / ; ρf - , ⋅ / .

G 3.

- ρf = ρi, ,

.

6 13 ⋅ / , .

10 ⋅ / .

,

,

.

2.1.1.2.4

dc, ,

,cmcMc ddd ⋅= (5)

dcM - , ;

dcm - , .

2.1.1.2.5

G ,

. G

,2

ln31

2 ⎥⎦⎤⎢⎣

⎡=r

dFG a (6)

( ) ;2

312

ttd

tF

x −++= π

da - , ;

r1 - , , ;

dx -

, , ;

t - , .

2.1.1.3 ,

2.1.1.3.1 Э

Page 8: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

, .5,01 =t

t

,

К, ,

4 cd

t1

. :

.2

1 GKT Tπρ= (7)

SL ( . 2.1.1.5,

2.1.2.2).

. 2.1.1.2.3.

2.1.1.3.2 Э

,

.cmcMc ddd ⋅=

2.1.1.3.3 Э

T1 , ,

da , .

, 5.

2.1.1.4

2.1.1.4.1 ,

,

T1

,2

2358,01 ⎟⎟⎠

⎞⎜⎜⎝⎛

+=ic

iT

td

tT ρ (8)

dc - , ;

ti - ,

,

; ρT - , ⋅ / .

(8) , , ,

,

, , .

2.1.1.4.2 ,

,

T1

,2

923,0358,01 ⎟⎟⎠⎞⎜⎜⎝

⎛+−=

ic

cT

td

dT ρ (9)

ti - ,

, , .

-

.

2.1.1.4.3

Page 9: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

, ,

T1

,2

ln2

475 1

62,0

74,11 ⎟⎟⎠⎞⎜⎜⎝

⎛ −+⎥⎦⎤⎢⎣

⎡=c

cT

c

g

c d

d

D

t

DT

δπρ

(10)

tg -

, ;

;16,22

5,0 ⎟⎟⎠⎞⎜⎜⎝

⎛ −⎥⎦⎤⎢⎣

⎡ += cicit

g DDD

t (11)

Dc - , , ; δ1 - , .

- (10) .

2.1.1.5 SL SA

T1 , .

2.1.2 Т2

2.1.2.1 , ,

T2

,2

1ln2

1 22 ⎥⎦

⎤⎢⎣⎡ +=

s

TD

tT ρπ (12)

t2 - , ;

Ds - , .

2.1.2.2 SL SA

,6

2 GT Tπρ= (13)

G - , 6.

2.1.3 щ T3

T3,

,

,2

1ln2

1 33 ⎥⎦

⎤⎢⎣⎡

′+=a

TD

tT ρπ (14)

t3 - , ;

D'a - , .

- D'a ,

, . . , .

T3

Page 10: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

.

2

2ln

2

1 33

⎥⎥⎥⎥

⎢⎢⎢⎢

+⎟⎠⎞⎜⎝

⎛ ++=

sitoc

ocT

tDD

tDT ρπ (15)

2.1.4

:

a) T1

. T1 , 2.1.1 ;

b) T2, :

1)

. , 2

Э 60287-1-1 ( 1.4),

, . . 1/3

.

, 2.1.2 . ,

dM dm ( )mM dd ⋅ ;

2) ,

. ,

4,

, 2.2.7.1.

,

, 1),

2

Э 60287-1-1 ( 1.4);

c) T3 . T3 2.1.3.

.

2.2 щ T4

2.2.1 ,

2.2.1.1 ,

T4 , ,

,

( ) ,1

4/1*4

se hDT θπ Δ= (16)

( ) ;*

ED

Zh

g

e

+= (17)

*

eD - , ; . ( ) ,102 3

3

* −⋅+= tDD oce

- 2.2.1 ; *

eD

h - , ,

Z, Е g 2, , 7 ,

7b 7 , /2⋅ 5/4

.

,

, .

Page 11: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

,

h, 88 % , ; Δθs -

( . ), .

. 2.2.6.

(Δθs)1/4

.

3.2.

КА:

( ) ( ) ( ) .111

213121

21

*

⎥⎦⎤⎢⎣

⎡ +++++++= λλλλλπ

TTn

ThDK e

A (18)

( ) ( ) ,1

25,0

4/1

4/1

1 ⎥⎥⎦⎤

⎢⎢⎣⎡

Δ+Δ+Δ=Δ +

nsA

d

nsK θ

θθθ (19)

(Δθs)1/4

= 2 ( ) ( ) .001,04/14/1

1≤Δ−Δ + nsns θθ :

;12

1

1

1

21

221

21

⎥⎦⎤⎢⎣

⎡++−⎟⎟⎠

⎞⎜⎜⎝⎛ −++=Δ λλ

λλλθ Tn

TWdd (20)

Δθ - .

Δθd, ,

. , Δθd =

0.

2.2.1.2 ,

2.2.1.2.1 *

4T

, ,

Tl 2.2.1.1, , (Δθs)1/4

( ) ( ) .1

25,0

4/1

4/1

1 ⎥⎥⎦⎤

⎢⎢⎣⎡

Δ+Δ+Δ+Δ=Δ +

nsA

dsd

nsK θ

θθθθ (21)

:

( ) ( ) ( ) ,111

213121

21

*

⎥⎦⎤⎢⎣

⎡ +++++++=Δ λλλλλσθ TT

n

THDeds (22)

σ - ( .

3);

- , 103 /

2

( , , ); *

eD - , ; . ( ) ,102 3

3

* −⋅+= tDD oce

Δθds, ,

.

8.

2.2.2 ,

Page 12: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

( ),1ln2

1 2

4 −−= uuT Tρπ (23)

ρT - , ⋅ / ;

;2

eD

Lu =

L - , ;

De - , ; De = Doc + 2t3.

10, ( 0,001)

( ).2ln2

14 uT Tρπ= (24)

2.2.3 , ( щ )

, ,

,

- .

Э :

- -

. ;

- , - ,

.

2.2.3.1

,

, ,

,

Δθ,

Э 60287-1-1 ( 1.4).

, ,

, .

, - Δθp,

, ,

(q - 1) ,

Δθp = Δθ1 + Δθ2 + ... Δθkp + ... Δθq (25)

( Δθpp ),

Δθkp - ,

Wk, , k,

.ln2

1 ⎟⎟⎠⎞

⎜⎜⎝⎛ ′=Δ

pk

pk

kTkpd

dWρπθ (26)

dpk - k pkd ′ k - ( . 1).

Δθ Э 60287-1-1

( 1.4) Δθ -

T4, .

Э

, - .

2.2.3.2

Page 13: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

. ,

, .

, ,

- .

T4, ,

Δθ, Э 60287-1-1

( 1.4).

T4 -

( ) ⎪⎭⎪⎬⎫⎪⎩

⎪⎨⎧ ⎥⎥⎦⎤

⎢⎢⎣⎡

⎟⎟⎠⎞

⎜⎜⎝⎛ ′

⎟⎟⎠⎞

⎜⎜⎝⎛ ′

⎟⎟⎠⎞

⎜⎜⎝⎛ ′⎟⎟⎠⎞

⎜⎜⎝⎛ ′−+=

pq

pq

pk

pk

p

p

p

p

Td

d

d

d

d

d

d

duuT LL

2

2

1

12

4 1ln2

1 ρπ (27)

( (q - 1) , pp

pp

d

d ′ ).

dpk - , 1 .

12 −+ uu 2 ( .

2.2.2).

.

.

2.2.3.2.1 ,

,

( ) ⎪⎭⎪⎬⎫⎪⎩

⎪⎨⎧ ⎥⎥⎦⎤

⎢⎢⎣⎡

⎟⎟⎠⎞⎜⎜⎝

⎛++−+=2

1

2

4

21ln

2

11ln

2

1

s

LuuT Tρπ (28)

;2

eD

Lu =

L - , ;

De - , ;

s1 - , .

10, 12 −+ uu 2 .

2.2.3.2.2 ,

,

( ) .2

1ln1ln2

12

1

2

4 ⎪⎭⎪⎬⎫⎪⎩

⎪⎨⎧ ⎥⎥⎦⎤

⎢⎢⎣⎡

⎟⎟⎠⎞⎜⎜⎝

⎛++−+=s

LuuT Tρπ (29)

4

Э 60287-1-1 ( 1.4.1).

2.2.3.2.3 ,

,

,

, , /

,

. 4,

Э 60287-1-1 ( 1.4.1), ,

2.2.3.2.2, 4,

Page 14: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

( ) ( ),

21ln

1

5,011ln

2

12

11

12112

4 ⎪⎭⎪⎬⎫⎪⎩

⎪⎨⎧ ⎥⎥⎦⎤

⎢⎢⎣⎡

⎟⎟⎠⎞⎜⎜⎝

⎛+⎥⎦⎤⎢⎣

⎡′+

′+′++−+=s

LuuT

m

T λλλρπ (30)

;2

eD

Lu =

L - , ;

De - , ;

s1 - , ;

11λ′ - ;

12λ ′ - ;

m1λ ′ - .

10, 12 −+ uu 2 .

, . λ1,

Э 60287-1-1 (

1.4.1), .

2.2.4 ,

( щ )

2.2.4.1 ,

2.2.4.1.1

- ,

, ,

.

( )( ) .5 451,02ln4 ≥−= uuT Tπρ

(31)

2.2.4.1.2

- ,

.

( )( ) .5 295,02ln4 ≥−= uuT Tπρ

(32)

(32) ,

,

( . 2.2.7.3).

2.2.4.2 ,

2.2.4.2.1

- ,

, ,

.

( )( ) .5 346,02ln475,04 ≥−= uuT Tρ (33)

2.2.4.2.2

- ,

.

( )( ) .5 142,02ln475,04 ≥−= uuT Tρ (34)

(34) ,

,

( . 2.2.7.3).

Page 15: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

2.2.4.3 ,

L - ,

, a De - ; T4 -

, -

.

De = Doc + 2t3.

2.2.4.3.1

( )[ ].630,02ln5,1

4 −= uT Tρπ (35)

T3,

2.1.3, 1,6.

2.2.4.3.2 (

20 % 50 % )

(36) 0,7 ,

( 15 ),

15-35 2.

( )[ ].630,02ln5,1

4 −= uT Tρπ (36)

T1 ,

2.1.1.1, T3,

, 2.1.3,

:

- T1 35 1,07; 35 150 1,16;

- T3 1,6.

2.2.4.3.3

( ) ( )[ ].ln22ln2

14 uuT T += ρπ (37)

(37) ,

, ,

( . 2.2.7.3).

2.2.5 ,

, ,

, , (23).

L - , a De -

, .

2.2.6

2.2.6.1 ,

, ,

,

,

. ,

.

2,5 ⋅ / . ,

.

2.2.6.2 ,

(38)

:

Page 16: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

,3p

WTOTtr =Δθ (38)

WT0T - , / ;

- ,

, .

, ,

. , , ,

, , ( . 2.2.1),

, Δθtr.

2.2.7

, ,

:

a)

; 4T ′

b) 4T ′′ .

;

c) 4T ′′′ .

4,

( . Э 60287-1-1, 1.4), :

.4444 TTTT ′′′+′′+′= (39)

- , , ,

,

( ), ,

.

2.2.7.1 ( ) 4T ′

25 100 , ,

(40).

[ . 2.1.4, b)],

75 125 . Э ,

.

( ) ,1,01

4

em DYV

UT θ++=′ (40)

- , , Y ⎪⎭⎪⎬⎫

Y

V

U

4;

De - , .

[ . 2.1.4, b)], De

- ,

:

- : De = 1,65

, ;

- : De = 2,15

, ;

- : De = 2,50

, ;

Page 17: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

θm - , .

, ,

, ° .

2.2.7.2 ( ) 4T ′′

4T ′′

,ln2

14 ⎟⎟⎠

⎞⎜⎜⎝⎛=′′

d

oT

D

DT ρπ (41)

Do - , ;

Dd - , ; ρT - , , ⋅ / .

ρT , ,

, 1.

2.2.7.3 ( ) 4T ′′′

( ), ,

( ) ,

, 2.2.1, 2.2.2, 2.2.3 2.2.4,

,

.

, , ,

. ( )

,

.

:

( ) ( ),1ln2

2 −+− uuN

ce ρρπ (42)

N - ; ρ - , ⋅ / ; ρ - , ⋅ / ;

;b

G

r

Lu =

LG - , ;

rb - , , :

.2

ln1ln4

2

1ln

2

2 x

x

y

y

x

y

xrb +⎟⎟⎠

⎞⎜⎜⎝⎛ +⎟⎟⎠

⎞⎜⎜⎝⎛ −= π (43)

, .

.3<x

y

3 ,

3.1 щ

,

2-6, Δθs 8.

, , .

Page 18: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

,

.

3.1.1 G

( 2)

X = t1/dc,

Y = (2t1/t) - 1,

G = MGS,

( )( )[ ],

111ln

5,022

⎥⎥⎦⎤

⎢⎢⎣⎡

−−−+−= βαβααβ

M (44)

( ),

1/11

12

⎥⎦⎤⎢⎣

⎡+++

=YX

Xα (45)

.

2

3

1

2

1

1

++

−+=Y

XY

X

αβ

(46)

Gs = GS(X; Y), . . X Y.

Gs(X; 0), Gs(X; 0,5) Gs(X; 1),

Gs(X; 0) = 1,060 19 - 0,067 1778 + 0,017 9521 X2,

Gs(X; 0,5) = 1,067 98 - 0,065 1648 + 0,015 8125 X2 ,

Gs(X; 1) = 1,067 00 - 0,055 7156 + 0,012 3212 X2.

Gs(X; Y) :

Gs(X; Y) = Gs(X; 0) + Y[-3Gs(X; 0) + 4Gs(X; 0,5) – Gs(X; 1)] + Y2 [2Gs(X; 0) - 4Gs(X; 0,5) + 2Gs(X;

1)]. (47)

Gs(X; 0), Gs(X; 0,5) Gs(X; 1)

0,5 % , .

3.1.2 G

( 3)

X = t1/dc,

Y = (2t1/t) - 1,

G = MGS,

( )( )[ ],

111ln

5,022

⎥⎥⎦⎤

⎢⎢⎣⎡

−−−+−= βαβααβ

M (48)

,

1

21

3

21

21

13

⎥⎥⎥⎥

⎢⎢⎢⎢

⎟⎠⎞⎜⎝

⎛+++

+=

Y

X

X

α (49)

.

31

21

3

2

31

21

3

2

+⎟⎠⎞⎜⎝

⎛++

−⎟⎠⎞⎜⎝

⎛++

=Y

X

Y

X

αβ

(50)

Page 19: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

Gs = GS(X; Y), . . X Y.

Gs(X; 0), Gs(X; 0,5) Gs(X; 1),

Gs(X; 0) = 1,094 14 - 0,094 4045 X + 0,023 4464 X2,

Gs(X; 0,5) = 1,096 05 - 0,080 1857 + 0,017 6917 X2,

Gs(X; 1) = 1,098 31 - 0,072 0631 + 0,014 5909 X2.

Gs(X; Y)

.

Э , Gs(X; 0), Gs(X; 0,5) Gs(X; 1) :

Gs(X; Y) = Gs(X; 0) + Y[-3Gs(X; 0) + 4Gs(X; 0,5) – Gs(X; 1)] + Y2 [2Gs(X; 0) - 4Gs(X; 0,5) + 2Gs(X; 1)]. (51)

Gs(X; 0), Gs(X; 0,5) Gs(X; 1)

0,5 % , .

3.1.3

щ

( 4)

X = (δ1ρT)/(dcρm),

Y = t1/dc.

К Y. К( ; 0,2), К( ; 0,6)

К( ; 1) 0 < ≤ 6 6 < ≤ 25:

0 < X ≤ 6 К( ; 0,2) = 0,998 095 - 0,123 369 X + 0,020 2620 X2 - 0,001 416 67 X

3,

К( ; 0,6) = 0,999 452 - 0,089 6589 X + 0,012 0239 X2 - 0,000 722 228 X

3,

К( ; 1) = 0,997 976 - 0,052 8571 X + 0,003 452 38 X2.

(52)

6 < ≤ 25 К( ; 0,2) = 0,824 160 -0,028 8721 + 0,000 928 511 X2 - 0,000 013 7121 X

3,

К( ; 0,6) = 0,853 348 - 0,024 6874 X + 0,000 966 967 X2 - 0,000 015 9967 X

3,

К( ; 1) = 0,883 287 - 0,015 3782 X + 0,000 260 292 X2.

(53)

К( ; Y)

. Э :

К( ; Y) = К( ; 0,2)+Z[-3К( ; 0,2) + 4К( ; 0,6) - К( ; 1)] + Z2[2К( ; 0,2) - 4К( ; 0,6) + 2К( ; 1)], (54)

Z = 1,25Y - 0,25.

0,5 % , .

3.1.4

щ

( 5)

X = (δ1ρT)/(dxρm),

Y = t1/dx.

К Y. К( ; 0,2), К( ; 0,6)

К( ; 1) 0 < ≤ 3, 3 < ≤ 6 6 < ≤ 25:

0 < ≤ 3 К( ;0,2) = 1,001 69 - 0,0945 + 0,007 523 81 X2,

К( ; 0,6) = 1,001 71 -0,076 9286 + 0,005 357 14 X2,

К( ; 1) = К( , 0,6).

(55)

3 < ≤ 6 К( ; 0,2) К( ; 0,6) ,

( . . 0 < ≤ 3)

К( ; 1) = 1,001 17-0,075 2143 +0,005 333 34 X2.

(56)

6 < ≤ 25 К( ; 0,2) = 0,811 646 - 0,023 8413 + 0,000 994 933 X2 - 0,000 015 5152 X

3,

К( ; 0,6) = 0,833598 - 0,022 31 55 + 0,000 978 956 X2 - 0,000 015 8311 X

3,

К( ; 1) = 0,842 875 - 0,022 7255 + 0,001 058 25 X2 - 0,000 017 7427 X

3.

(57)

0 < ≤ 3 0,2 < Y ≤ 0,6 К( ; Y) К( ;

Page 20: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

0,2) К( ; 0,6) :

К( ; Y) = К( ; 0,2) + 2,5(Y - 0,2)[К( ; 0,6) - К( ; 0,2)]. (58)

3 < ≤ 25 К( ; Y)

:

К( ; Y) = К( ; 0,2 )+ Z[-3К( ; 0,2) + 4 К( ; 0,6) - К( ; 1)] +Z 2[2К( ; 0,2) - 4К( ; 0,6) + 2К( ; 1)], (59)

Z = 1,25Y - 0,25.

1 % , .

3.1.5 G щ

SL SA ( 6)

X ,

.

:

0 < ≤ 0,03, ( ),6667,2103214,2000202380,02 2XXG −+= π

0,03 < ≤ 0,15 ( ).5093,1156104,4101,10126529,02 32 XXXG +−+= π (60)

G 1 %.

:

0 < ≤ 0,03, ( ),4762,2011429,200022619,02 2XXG −+= π

0,03 < ≤ 0,15 ( ).6352,1049737,417533,10142108,02 32 XXXG +−+= π (61)

G 1 %.

3.2 Δθs щ ( 8)

Δθs :

a) КА

( ) ( ) ;111

213121

21

*

⎥⎦⎤⎢⎣

⎡ +++++++= λλλλλπ

TTn

ThDK e

A (62)

b) 8 КА ,

Δθ + Δθd + Δθds - const;

c) (Δθs)1/4

:

1) ,

.12

1

1

1

21

221

21

⎥⎦⎤⎢⎣

⎡++−⎟⎟⎠

⎞⎜⎜⎝⎛ −++=Δ λλ

λλλθ Tn

TWdd (63)

, Δθd = 0, Δθds = 0;

2) ,

,12

1

1

1

21

221

21

⎥⎦⎤⎢⎣

⎡++−⎟⎟⎠

⎞⎜⎜⎝⎛ −++=Δ λλ

λλλθ Tn

TWdd (64)

( ) ( )( ) .1

11

21

321211* ⎥⎦⎤⎢⎣

⎡++

+++++=Δ λλλλλσθ

n

TnTnTHDeds (65)

, Δθd = 0.

1 -

Page 21: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

ρT, ⋅ /

*

6,0

5,0

5,5

:

) ; 5,5

b) 6,0

( ) 3,5

(XLPE) 3,5

|| (PPL) 5,5

(PVC):

3 .; 5,0

. 3 6,0

Э (EPR):

3 .; 3,5

. 3 5,0

5,0

5,0

щ

6,0

, 6,0

5,5

:

35 .; 5,0

. 35 6,0

6,0

( ) 3,5

,

1,0

4,8

2,0

1,2

(PVC) 6,0

( ) 3,5

* ,

, .

, ,

, .

2 - Z, E g ,

2 ) , , , ,

, , 0,15 *

eD

Z Е g

1) 0,21 3,94 0,60

, 0,29 2,35 0,50

Page 22: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

, 0,96 1,25 0,20

, 0,62 1,95 0,25

, 1,42 0,86 0,25

,

*

eD

0,75 2,80 0,30

, 1,61 0,42 0,20

,

*

eD

1,31 2,00 0,20

1) ,

0,75 .

2b) , ( 0,08 ) *

eD

1,69 0,63 0,25

, 0,94 0,79 0,20

3 -

σ

- 0,8

0,8

(PVC) 0,6

( ) 0,4

0,6

4 - U, V Y

U V Y

5,20 1,40 0,0110

5,20 0,83 0,0060

5,20 0,91 0,0100

Page 23: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

:

; 5,20 1,20 0,0060

5,20 1,10 0,0110

0,95 0,46 0,0021

0,26 0,0 0,0026

|| 1,87 0,312 0,0037

1,87 0,28 0,0036

1 - q -

Page 24: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

t - ; t1 - ; dc -

( )

2 - G ( .

2.1.2.1)

Page 25: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

t - ;

t1 - ;

dc - ( )

3 - G ( .

2.1.2.3)

Page 26: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

К - ; δ1 - ; ρT -

; dc - ( ); t1 - ; ρ - :

27⋅10-4 ⋅ / - ;

48⋅10-4 ⋅ / -

4 -

( . 2.1.1.3.1)

Page 27: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

К - ; δ1 - ; ρT - ; dx -

, ; t1 -

; ρ - :

27⋅10-4 ⋅ / - ;

48⋅10-4 ⋅ / -

5 -

(2.1.1.3.3)

Page 28: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

6 - G ,

SL SA ( . 2.1.2.2)

7 - ,

Page 29: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

7b - ,

7 - ,

Page 30: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

8 - ,

( )

.1

Э 60287-1-1:2006 Э 60811-1-1-2009 .

. 1-1. (100 %-

) .

[1] Э 60287-3-1:1995 Э . .

3-1. , .

(I 60287-3-1:1995) (Electric cables - Calculation of the current rating -

Page 31: 2-1 IEC 60287-2-1:1994 Electric cables - Calculation of ... · IEC 60287-2-1:1994 Electric cables - Calculation of the current rating - Part 2-1: Thermal resistance - Calculation

Part 3-1: Sections on operating conditions - Reference operating conditions and selection of cable

type)

: , , ,


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