Mathcad - Ampacity Calculation

8/13/2019 Mathcad - Ampacity Calculation

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POWER CABLE AMPACITY

(132 kV)

132 kV, 1200 mm2

In trench sectionIn !! crossin" section

In !#ct $%nk &or crossin" section

Final Ampacity calculation N7144.xmcd 1 22.03.2013


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CO'TE'T(

Variable ata (!eneral) 4

Po)er C%$*e Am+%cit C%*c#*%tions

1. A" #e$i$tance o% "onductor 13

2. ielectric &o$$ per 'nit &ent %or te *n$ulation 1+

3. &o$$ Factor %or ,etallic -creen and -eat 1+

4. "alculation o% ermal #e$i$tance 21

+. "onductor emperature #i$e abo/e te Ambient 2

. "ontinuou$ "urrent "arryin "apacity o% one 132 kV circuit 2

7. #eduction %actor o% one 132 kV "ircuit 2

. -uper po$ition metod to calculate interaction o% ru 132 kV cablecircuit and to exi$tin 400 kV cable circuit$ 3

. #eduction %actor o% interaction o% ru 132 kV cable circuit$ it teto exi$tin 400 kV cable circuit$ +1

Po)er C%$*e Im+e-%nce C%*c#*%tions

1. 5o$iti/e6Neati/e -euence *mpedance 7

2. 8ero *mpedance 7



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POWER CABLE AMPACITY

CALC.LATIO'(*9" 027 : "*!#9 ;! 1


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"A&9 =59> 132 kV ?&59 cable@ 12$mm@ copper conductor@ lead : 59 $eated /BR.

*N-A&&A*BN 5&A"9> A' A* < '.A.9.

5#BC9"> A' A* 2 6 9A@ #AN-"B N7144

VARIABLE !ATA

A E*ectric%* (stem !%t%

Up_400 400000:= (5a$e to pa$e /oltae@ V)

U

p_132

132000:= (5a$e to pa$e /oltae@ V)

fc 50:= (Freuency@ D)

2. fc:= (Anular %reuency@ D) 314.2=

Iccs_400 63000:= (,ax. eart


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B C%$*e Constr#ction !%t%

n 1:= (Number o% load


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C E*ectric%* Ch%r%cteristics

!

o

15.1 10 6

:= (.". re$i$tance o% te conductor at 20E"@ Bm6m)

coppr 1.7241 10 8

:= (9lectrical re$i$ti/ity o% "opper@ Bm6m) < *9" 027


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Tem+er%t#res %n- Tem+er%t#re Coe&&icients

ma% 90:= (,ax. operatin temperature o% conductor. E")

c1 250:= (,ax. $ort


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T+ic%* Tro#"h cross6sction

132 kV Circ#it

h'cb_tr 1150:= (i$tance %rom round $ur%ace to cable bottom@ mm)

h'1ca_tr h'cb_tr

do

2:= (i$tance %rom round $ur%ace to cable axi$@ mm)

h'1ca_tr 1098=

str 200:= (Axial $pacin o% conductor #@=@ in trenc@ mm)

sctr 2100:= ("enter to "enter di$tance o% cable circuit$ in trenc@ mm)

m_tr 81.5:= (;orkin temperature o% te lead $eat in trou@ E")

Final Ampacity calculation N7144.xmcd 22.03.2013


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I !! Crossin"

132 kV Circ#it

tpip_hdd 15:= (ickne$$ o% 59 duct all@ mm)

dipip_hdd 195:= (*n$ide diameter o% 59 duct@ mm)

dopip_hdd dipip_hdd 2tpip_hdd( )+:= (Butdi$e diamenter o% 59@ mm) dopip_hdd 225=

tbt 50:= (ickne$$ o% bentonite layer around te cable@ mm)

shdd dopip_hdd:= (Axial $pacin o% te conductor$ in $ection@ mm)

*hdd 70001

2

3

3+

dopip_hdd+:= (i$tance %rom road le/el to te tre%oil center@ mm)

*hdd 7242=

m_hdd 80:= (;orkin temperature o% te lead $eat in trou@ E")



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7 T+ic%* Ro%- Crossin"

132 kV Circ#it

tpip_rc 10:= (ickne$$ o% 59 duct all@ mm)

dipip_rc 180:= (*n$ide diameter o% 59 duct@ mm)

dopip_rc dipip_rc 2tpip_rc( )+:= (Butdi$e diamenter o% 59@ mm) dopip_rc 200=

tbt 50:= (ickne$$ o% bentonite layer around te cable@ mm)

+,- 1800:= (;idt o% te uct bank@ mm)

,- 550:= (eit o% te uct bank@ mm)

h',- 1225:= (ept o% te uct bank centre@ mm)

/ 3:= (Number o% cable$ o% al% duct bank$)

src

300:= (Axial $pacin o% te conductor$ in road cro$$in@ mm)



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scrc 2100:= ("enter to "enter di$tance o% cable circuit$ in trenc@ mm)

h'cb_rc 1325:= (i$tance %rom round $ur%ace to cable bottom@ mm)

h'db_rc h'cb_rc

tpip_rc

2+:= (i$tance %rom round $ur%ace to duct bottom@ mm)

h'db_rc 1330=

h'1ca_rc h'cb_rc

do

2:= (i$tance %rom round $ur%ace to cable axi$@ mm)

h'1ca_rc 1273=

h'da_rc h'db_rc

dipip_rc

2:= (i$tance %rom round $ur%ace to duct axi$@ mm)

h'da_rc 1240=

m_rc 80.5:= (;orkin temperature o% te lead $eat in trou@ E")

8 !et%i*s o& +%r%**e* r#nnin" 900 kV C%$*es in Tro#"h (ection

h'400_tr 1100:= (urial dept %rom round $ur%ace to cable bottom@ mm)

,400a_400b_tr 2800:= (Axial di$tance beteen 400 kV and 400 kV "ircuit$@ mm)

,400a_132_tr 2100:= (Axial di$tance beteen 400 kV clo$e$t and 132 kV "ircuit$@ mm)

,400b_132_tr 4900:= (Axial di$tance beteen 400 kV %urte$t and 132 kV "ircuit$@ mm)

400_tr 600:= (Axial di$tance beteen o% te 400 kV circuit$@ mm)

A400 2500:= ("ro$$ $ection o% copper conductor@ mm2)

!A_400_tr 9.7232 10 6

:=(A" re$i$tance o% te conductor@ Bm6m)

1a_tr_400 0.0901:= (&o$$ %actor %or $creen and $eat o% pa$e 1)

1b_tr_400 0.0605:= (&o$$ %actor %or $creen and $eat o% pa$e 2)

1c_tr_400 0.0601:= (&o$$ %actor %or $creen and $eat o% pa$e 3)

+d400 1.08:= (ielectric &o$$e$@ ;6m)



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I !et%i*s o& +%r%**e* r#nnin" 900 kV C%$*es in !! (ection

h'400_hdd 7500:= (urial dept %rom round $ur%ace to cable bottom@ mm)

do400pip 280:= (ickne$$ o% 59 pipe@mm)

400_hdd do400pip 280=:= (Axial di$tance beteen o% te 400 kV circuit$@ mm)

*400hdd 7000 1

2

3

3+

do400pip+:= (i$tance %rom road le/el to tre%oil center@mm)

hl400 *400hdd 400_hdd

3

3:= (urial dept o% te upmo$t cable$@mm) hl400 7140=

bl400 *400hdd 400_hdd

3

3+:= (urial dept o% te deepe$ cable$@mm) bl400 7463=

,400a_400b_hdd 3000:= (Axial di$tance beteen 400 kV and 400 kV "ircuit$@ mm)

,400a_132_hdd 3000:= (Axial di$tance beteen 400 kV clo$e$t and 132 kV "ircuit$@ mm)

,400b_132_hdd 6000:= (Axial di$tance beteen 400 kV %urte$t and 132 kV "ircuit$@ mm)

!A_400_hdd

9.754 10 6


1_hdd_400 0.1:= (&o$$ %actor %or $creen and $eat )

7 !et%i*s o& +%r%**e* r#nnin" 900 kV C%$*es in Ro%- Crossin" (ection

h'400_rc 1350:= (urial dept %rom round $ur%ace to cable bottom@ mm)

,400a_400b_rc 2800:= (Axial di$tance beteen 400 kV and 400 kV "ircuit$@ mm)

,400a_132_rc 2100:= (Axial di$tance beteen 400 kV clo$e$t and 132 kV "ircuit$@ mm)

,400b_132_rc 4900:= (Axial di$tance beteen 400 kV %urte$t and 132 kV "ircuit$@ mm)

400_rc 300:= (Axial di$tance beteen o% te 400 kV circuit$@ mm)

!A_400_rc 9.723 10 6


1a_rc_400 0.0899:= (&o$$ %actor %or $creen and $eat o% pa$e 1)



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1b_rc_400 0.0604:= (&o$$ %actor %or $creen and $eat o% pa$e 2)

1c_rc_400 0.0600:= (&o$$ %actor %or $creen and $eat o% pa$e 3)

1 AC Resist%nce o& Con-#ctor

!C Resist%nce o& Con-#ctor

"coppr# $ 1 c20 20# $+:= (Factor) "copprma%( ) 1.3=

! !o"copprma%( ):= (.". re$i$tance o% conductor at max. operatin temperature@ Bm6m)

! 1.925 10 5

=!20 !o:= (.". #e$i$tance o% condcutor at 20E"@ Bm6m)

!20 1.51 10 5

=

11 C%$*es in tro#"h

111 (kin E&&ect 4%ctor

%s

8 fc

!10

7( ) "s:= (Factor) %s 1.695=

s

%s4

192 0.8%s4

+

:= (-kin e%%ect %actor)s 0.0415=

112 Pro:imit e&&ect &%ctor

%p

8 fc

!10

7"p:= (Factor %or conduit$)

%p 1.554=

ps# $

%p4

192 0.8%p4

+

dc

s

2

0.312

dc

s

2

1.18

192 0.8 %p( )4

+

%p( )4

0.27 192 0.8 %p( )4

+ ++

:=

pstr( ) 0.006=

113 AC Resist%nce o& the Con-#ctor

!cac_tr ! 1 s+ ps tr( )+( ):= (A.". re$i$tance o% conductor at max. operatin temperature @ Bm6m)

!cac_tr 2.017 10 5

=



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!cac_hdd ! 1 s+ pshdd( )+( ):=

!cac_tr20 !20 1 s+ ps tr( )+( ):= (A.". re$itance o% condcutor at 20E" temperature@ Bm6m)

!c

ac_tr20

1.6 10 5

=

12 C%$*es in !!

121 (kin e&&ect &%ctor

s 0.0415=


pshdd( ) 0.00469=

123 AC Resist%nce o& the Con-#ctor

(A.". re$i$tance o% conductor at max. operatin temperature@

Bm6m)

!cac_hdd

2.014 10 5

=

!cac_hdd20 !20 1 s+ pshdd( )+( ):= (A.". re$i$tance o% conductor at 20E" temperature@ Bm6m)

!cac_hdd20 1.6 10 5

=

13 C%$*es in !#ct B%nk %t Ro%- crossin"

131 (kin e&&ect &%ctor

s 0.0415=


psrc( ) 0.00263=

133 AC Resist%nce o& the con-#ctor

!cac_rc ! 1 s+ psrc( )+( ):= (A.". re$i$tance o% conductor at max. operatin temperature@ Bm6mm)

!c

ac_rc

2.01 10 5

=



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!cac_rc20 !20 1 s+ psrc( )+( ):= (A.". re$i$tance o% conductor at 20E" temperature@ Bm6m)

!c

ac_rc20

1.6 10 5

=

2 !ie*ectric Loss +er .nit Len"th &or the Ins#*%tion

p

18. lndin

dc1

10 9

:= ("apacitance o% eac pa$e aain$t te $creen $urroundin@ F6m6pa$e)

268.7 10 12

=

Uo

Up_132

3:= (5a$e to neutral /oltae@ V)

Uo 76.2 103

=

Ic Uo 103

:= ("arin current per conductor@ A6km)

Ic 6.43=

+d Uo2

tan # $:= (ielectric lo$$e$ per unit lent per pa$e@ ;6m)

+d 0.49=

3 Loss 4%ctor &or the Met%**ic (creen %n- (he%th

(1) Equivalent Resistance of Lead Sheath

"lad m( ) 1 m 20( ) lad+:= (Factor)

"lad20 1.05:=

!slad m( )lad

Alad

"lad m( ):= (.". re$i$tance o% te lead $eat at teta E"@ Bm6m)

lad

Alad

"lad20# $ 208.39 10 6

=(,ax. .". metallic $eat re$i$tance at 20E"@ Bm6m)

(2) General

m m( )

!slad m( )

10

7:=

s m( ) lad"lad m( ):= (9lectrical re$i$ti/ity o% te lead $eat at $creen temperature)

1 m( ) 4

107

( )

s

m( )

:=

Final Ampacity calculation N7144.xmcd 1+ 22.03.2013


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's m( ) 1:= (Note < For lead $eat cable$ $ can be take a$ unity and1ts( )

4

12 1012

can be nelected < *9" 027


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1flat_cbc ms, !ac,( ) 1flat_cms, !ac,( )0.004:= (;ere lent$ o% minor $ection$ are unkno@ multiply by %actor o% 0.004)

/2 Circ#*%tin" *oss c%*c#*%tion &or three sin"*e6core c%$*es in tre&oi* &orm%tion $on-e- %t $oth en-s /C*%#se 231

trfs# $ 2.10 7.

ln2.s

dlad

:=

(#eactance o% -eat per unit lent@ Bm6m)

trfshdd( ) 1.006 10 4

=

1_trf ms, !ac,( )!slad m( )

!ac

1

1

!slad m( )trfs# $

2

+

:=

1_trf_cb ms, !ac,( ) 1_trf ms, !ac,( )0.004:= (;ere lent$ o% minor $ection$ are unkno@ multiply by %actor o% 0.004)

32 E-- C#rrent Loss 4%ctor /C*23;1 o& IEC ;02


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1a ms,( ) 0.86 m m( )3.08

dlad

2s

1.4m m( ) 0.7+

:=

2a ms,( ) 0:=

1a ms, !ac,( )!slad m( )

!ac

's m( ) 0a ms,( ) 1 1a ms,( )+ 2a ms,( )+( ):=

$ O#ter c%$*e *e%-in" +h%se

0b ms,( ) 1.5m m( )

2

1 m m( )2

+

dlad

2s

2

:= (9ddy current lo$$ %actor %or cable$ in trou)

1b ms,( ) 4.7 m m( )0.7

dlad

2s

0.16m m( ) 2+

:=

2b ms,( ) 21 m m( )3.3

dlad

2s

1.47m m( ) 5.06+

:=

1b ms, !ac,( )!slad m( )

!ac

's m( ) 0b ms,( ) 1 1b ms,( )+ 2b ms,( )+( ):=

C O#ter c%$*e *%""in" +h%se

0c ms,( ) 1.5m m( )

2

1 m m( )2

+

dlad

2s

2

:= (9ddy current lo$$ %actor %or cable$ in trou)

1c ms,( )0.74 m m( ) 2+( )m m( )

0.5

2 m m( ) 0.3( )2

+

dlad

2s

m m( ) 1+

:=

2c ms,( ) 0.92 m m( )3.7 dlad

2s

m m( ) 2+

:=

1c ms, !ac,( )!slad m( )

!ac

's m( ) 0c ms,( ) 1 1c ms,( )+ 2c ms,( )+( ):=



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33 Loss 4%ctor &or (he%th %n- screen

331 Loss 4%ctor &or (he%th in tro#"h

!slad ms( ) 258.403 10 6

= (.". re$i$tance o% te lead $eat at teta E"@ Bm6m)

1flat_cba ms str, !cac_tr,( ) 0.0043= ("irculatin current lo$$ %actor on lead $eat o% centre cable)

1flat_cbb ms str, !cac_tr,( ) 0.0095= ("irculatin current lo$$ %actor on lead $eat o% outer leadin cable)

1flat_cbc ms str, !cac_tr,( ) 0.0095= ("irculatin current lo$$ %actor on lead $eat o% outer lain cable)

1a msstr, !cac_tr,( ) 0.0577= (9ddy current lo$$ %actor on lead $eat o% centre cable)

1b ms str, !cac_tr,( ) 0.0152= (9ddy current lo$$ %actor on lead $eat o% outer cable leadin pa$e)

1c msstr, !cac_tr,( ) 0.0152= (9ddy current lo$$ %actor on lead $eat o% outer cable lain pa$e)

1a_trms, !ac,( ) 1flat_cba ms, !ac,( ) 1a ms, !ac,( )+:=(&o$$ %actor %or metallic $creen$6$eat %or cable$ in trou@ pa$e 1)

1a_trmsstr, !cac_tr,( ) 0.0621=

1b_trms, !ac,( ) 1flat_cbb ms, !ac,( ) 1b ms, !ac,( )+:=

(&o$$ %actor %or metallic $creen$6$eat %or cable$ in trou@ pa$e 2)

1b_trms str, !cac_tr,( ) 0.0247=

1c_tr

m

s, !ac

,

( )

1flat_cbc

ms, !

ac,

( )

1c

ms, !

ac,

( )+:=


1c_trmsstr, !cac_tr,( ) 0.0247=

1_tr 1a_trmsstr, !cac_tr,( ) 0.0621=:= (&o$$ %actor u$ed %or current ratin calculation)



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332 Loss 4%ctor &or (he%th %n- (creen in !!

!slad ms( ) 258.4 10 6= (.". re$i$tance o% te lead $eat at teta E"@ Bm6m)

1_trf_cb msshdd, !cac_hdd,( ) 0.0067= ("irculatin current lo$$ %actor)

1_t msshdd, !cac_hdd,( ) 0.0233= (9ddy current lo$$ %actor on lead $eat o% centre cable)

1_hddf ms, !ac,( ) 1_trf_cb ms, !ac,( ) 1_t ms, !ac,( )+:=

(&o$$ %actor %or metallic $creen6$eat %or tre%oil %ormation)

1_hddfmsshdd, !cac_hdd,( ) 0.03=

1_hdd 1_hddf ms shdd, !cac_hdd,( ) 0.03=:= (&o$$ %actor u$ed %or current ratin calculation)

333 Loss 4%ctor &or (he%th %n- (creen in Ro%- crossin"

!slad ms( ) 258.403 10 6

= (.". re$i$tance o% te lead $eat at teta E"@ Bm6m)

1flat_cba ms src, !cac_rc,( ) 0.0072= ("irculatin current lo$$ %actor on lead $eat o% centre cable)

1flat_cbb ms src, !cac_rc,( ) 0.0127= ("irculatin current lo$$ %actor on lead $eat o% outer leadin cable)

1flat_cbc ms src, !cac_rc,( ) 0.0127= ("irculatin current lo$$ %actor on lead $eat o% outer lain cable)

1a mssrc, !cac_rc,( ) 0.0257= (9ddy current lo$$ %actor on lead $eat o% centre cable)

1b ms src, !cac_rc,( ) 6.584 10 3

= (9ddy current lo$$ %actor on lead $eat o% outer cable leadin pa$e)

1c mssrc, !cac_rc,( ) 0.0066= (9ddy current lo$$ %actor on lead $eat o% outer cable lain pa$e)

1a_rc ms, !ac,( ) 1flat_cba ms, !ac,( ) 1a ms, !ac,( )+:=


1a_rc mssrc, !cac_rc,( ) 0.0329=



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1b_rc ms, !ac,( ) 1flat_cbb ms, !ac,( ) 1b ms, !ac,( )+:=

(&o$$ %actor %or metallic $creen$6$eat %or cable$ in trou@ pa$e 2)1b_rc ms src, !cac_rc,( ) 0.0193=

1c_rc ms, !ac,( ) 1flat_cbc ms, !ac,( ) 1c ms, !ac,( )+:=


1c_rc mssrc, !cac_rc,( ) 0.0193=

1_rc

1a_rc

ms

s

rc

, !cac_rc

,

( ) 0.0329=:= (&o$$ %actor u$ed %or current ratin calculation)

9 C%*c#*%tion o& Therm%* Resist%nce

91 Therm%* Resist%nce $et)een on con-#ctor %n- she%th, T1/C*2111 o& IEC ;02=16261

911 Therm%* Resist%nce o& $in-er t%+e o5er con-#ctor

10

b

2ln

dc0

dc

:= (ermal re$i$tance beteen one conductor and -6"@ .m6;)

10 0.0375=

912 Therm%* Resist%nce o& (>C screen o5er $in-er t%+e

(ermal re$i$tance beteen one conductor and in$ulation $eat@

.m6;)11

sc

2ln

dc1

dc0

:=

11 0.0247=

913 Therm%* Resist%nce o& ?LPE ins#*%tion

12

%lp

2ln

din

dc1

:= (ermal re$i$tance beteen one conductor and -6"@ .m6;)

12 0.2764=

919 Therm%* Resist%nce o& (>C screen o5er ins#*%tion

(ermal re$i$tance beteen one conductor and metallic $eat@

.m6;)13

sc

2ln

dbst

din

:=

13 0.0171=



22/76

91@ Therm%* Resist%nce o& (>C Be--in" $e*o) Le%- (he%th

14

b

2 ln

dbcs

dbst

:=(ermal re$i$tance beteen -ellin tape@ .m6;)

14 0.0199=

91; Therm%* Resist%nce one con-#ctor %n- she%th, T1

1 10 11+ 12+ 13+ 14+:= 1 0.3757=

92 Therm%* Resist%nce $et)een (he%th %n- Armo#r, T2

/C* 212 o& IEC ;02


23/76

4trd soil( )soil

2

(1( )1 0.5 1a_trms str, !cac_tr,( ) 1c_trms str, !cac_tr,( )+( )+

1 1b_tr

ms

str

, !cac_tr

,

( )+

( )

ln12h'1ca_tr

str

2

+

+

:=

9xternal ermal #e$i$tance %or current ratin calculation in trou (to u$ed at

denominator o% te %inal %ormula)@ .m6;

4trd st( ) 1.649=

992 C%$*es in !!

For 3 cable$ a/in eual $eat lo$$e$@ laid in tre%oil %ormation and eually $paced apart

9921 Therm%* resist%nce o& $entonite $et)een c%$*e %n- +i+e

41hdd

bntonit

2

ln

dipip_hdd

do

:= (ermal re$i$tance o% bentonite beteen cable and pipe@ .m6;)

41hdd 0.1004=

9922 Therm%* resist%nce o& +i+e m%teri%*

42hdd

p

2

ln

dopip_hdd

dipip_hdd

:=

(ermal re$i$tance o% pipe material@ .m6;) 42hdd 0.0797=

9923 Therm%* resist%nce o& soi*

hl *hdd shdd

3

3:= (urial dept o% te upmo$t cable@ mm) hl 7113=

bl *hdd shdd

3

6+:= (urial dept o% te deep$t cable@ mm) bl 7307=

(land

2.bl

dopip_hdd:= (u i$ calculated it re%erence to te centre line o% te deepe$t duct$(non


24/76

9929 Tot%* Therm%* resist%nce o& c%$*e s#rro#n-in" T9

4hdd soil( ) 41hdd 42hdd+ 4land soil( )+:=

9xternal ermal #e$i$tance %or current ratin calculation in @ .m6;>

4hdd hdd( ) 2.3=

993 C%$*e in -#ct %t ro%- crossin" /re&erence to hottest c%$*e n3

For 3 cable$ a/in uneual $eat lo$$e$@ laid in %lat %ormation and eually $paced apart

9931 Therm%* resist%nce o& $entonite $et)een c%$*e %n- +i+e

41rc

bntonit

2

ln

dipip_rc

do


41rc 0.0876=

9932 Therm%* resist%nce o& +i+e m%teri%*

42rc

p&c

2

ln

dopip_rc

di

pip_rc


42rc 0.1006=

9933 E:tern%* therm%* resist%nce o& +i+e m%teri%*

%1

2

,-

+,-

2

4

,-

+,-

2

ln1

+,-

2

2

,-2

+

ln,-

2

+:=

rb %

:=(9ui/alent radiu$ o% te duct bank@ mm)

rb 357.897=

(,-

h',-

rb

:=(,- 3.423=

43_corr soil( ) /

2

soil concrt( ) ln (,- (,-

21+

:=

43_corr sr( ) 0.182=



25/76

9939 Therm%* resist%nce o& c%$*e sorro#n-in" T9

(r

2h'1ca_rc

dopip_rc

:= (r 12.731=

(1r ln (r (r2

1+

:= (1r 3.236=

43m soil( )concrt

2

(1r ln1

2h'1ca_rc

src

2

+

+

43_corr soil( )+:=

9xternal ermal #e$i$tance %or current ratin calculation induct bank (to u$ed at numerator o% te %inal %ormula)@ .m6;

43m sr( ) 1.379=

43rd soil( )concrt

2

(1r

1 0.5 1a_rc ms src, !cac_rc,( ) 1c_rc mssrc, !cac_rc,( )+( )+1 1b_rc mssrc, !cac_rc,( )+( )

ln1

2h'1ca_rc

src

2

+

+

43_corr soil( )+:=

9xternal ermal #e$i$tance %or current ratin calculation in

duct bank (to u$ed at denominator o% te %inal %ormula)@ .m6;

43rd sr( ) 1.384=

993@ Tot%* Therm%* resist%nce o& c%$*e s#rro#n-in" T9

4m soil( ) 41rc 42rc+ 43m soil( )+:=

9xternal termal re$i$tance %or current ratin calculation in duct

bank to be u$ed at numerator o% te %inal %ormula@ .m6;)

4m sr( ) 1.5677=4rc soil( ) 41rc 42rc+ 43rd soil( )+:=

9xternal termal re$i$tance %or current ratin calculation in duct

bank to be u$ed at te denominator o% te %inal %ormula@ .m6;)

4rc sr( ) 1.5723=



26/76

@ Con-#ctor Tem+er%t#re Rise %$o5e the Am$ient Tem+er%t#re

tr

ma% c

'ro(nd:= (emperature ri$e o% te conductor it re$pect to te $urroundin$ o% trou@ E")

tr 50=

hdd ma% c'ro(nd:= (emperature ri$e o% te conductor it re$pect to te $urroundin$ o% @ E")

hdd 50=

rc ma% c'ro(nd:= (emperature ri$e o% te conductor it re$pect to te $urroundin$ o% road cro$$in@ E")

rc 50=

; Contin#o#s C#rrent C%rrin" C%+%cit /A

;1 C%$*es in tro#"h /C#rrent %s % nction o& soi* therm%* resisti5it

soil 0.8 0.9, 2.3..:= (Variable termal re$i$ti/ity o% $oil@ .m6;)

I1trsoil( )tr +d 0.51 n 2 3+ 4trn soil( )+( )+

!cac_tr1 n !cac_tr 1 1_tr+( ) 2+ n !cac_tr 1 1_tr+( ) 3 4trd soil( )+( )+

:=

P1trsoil( ) I1trsoil( )Up_13210 6

3:= (ran$mi$$ion 5oer in ,VA)

I1trsoil( )1237

1183.3

1136

1093.8

1055.9

1021.6

990.3

961.7

935.4

911

888.4

867.3

847.7

829.2

811.9

795.5

= soil

0.8

0.9

1

1.1

1.2

1.3

1.4

1.5

1.6

1.7

1.8

1.9

2

2.1

2.2

2.3

= P1trsoil( )282.8

270.5

259.7

250.1

241.4

233.6

226.4

219.9

213.9

208.3

203.1

198.3

193.8

189.6

185.6

181.9

=

I1trst( ) 1055.9= (A)

P1trst( ) 241.4= (,VA)

+c_tr I1trst( )2

!cac_tr 22.485=:= (k;6km)

+s_tr 1_tr+c_tr 1.396=:= (k;6km)

+d_tr +d 0.49=:= (k;6km)

+total_tr +c_tr +s_tr+ +d_tr+ 24.37=:= (k;6km)



27/76

Final /eri%ication o% te $creen6$eat temperature

fin_tr soil( ) ma% 1 !cac_tr I1trsoil( )2+d

2+

:=

fin_tr st( ) 81.5=

m_tr 81.5=

;2 C%$*es in !! /C#rrent %s % nction o& soi* therm%* resisti5it


I1hdd soil( )hdd +d 0.51 n 2 3+ 4hdd soil( )+( )+

!cac_hdd1 n !cac_hdd 1 1_hdd+( ) 2+ n !cac_hdd 1 1_hdd+( ) 3 4hdd soil( )+( )+

:=

P1hdd soil( ) I1hdd soil( )Up_13210 6

3:=(ran$mi$$ion 5oer in ,VA)

I1hdd soil( )1018

973

934

898

867

838

812

788

766

746

727

709

693

677

663

649

= soil

0.8

0.9

1

1.1

1.2

1.3

1.4

1.5

1.6

1.7

1.8

1.9

2

2.1

2.2

2.3

= P1hdd soil( )232.8

222.5

213.4

205.4

198.1

191.6

185.6

180.1

175.1

170.5

166.1

162.1

158.4

154.8

151.5

148.4

=

I1hdd hdd( ) 933.6= (A)

P1hdd hdd( ) 213.4= (,VA)

+c_hdd I1hdd hdd( )2

!cac_hdd 17.558=:= (k;6km)

+s_hdd 1_hdd+c_hdd 0.527=:= (k;6km)

+d_hdd +d 0.49=:= (k;6km)

+total_hdd +c_hdd +s_hdd+ +d_hdd+ 18.57=:= (k;6km)



28/76


fin_hdd soil( ) ma% 1 !cac_hdd I1hdd soil( )2

+d

2+

:=

fin_tr hdd( ) 80.1=

m_hdd 80=

;3 C%$*es in -#cts %t ro%- crossin" /C#rrent %s % nction o& soi* therm%* resisti5it


I1rc soil( )rc +d 0.51 n 2 3+ 4m soil( )+( )+

!cac_rc1 n !cac_rc 1 1_rc+( ) 2+ n !cac_rc 1 1_rc+( ) 3 4rc soil( )+( )+

:=

P1rc soil( ) I1rc soil( )Up_13210 6


I1rc soil( )1208

1175

1145

1117

1090

1066

1043

1021

1001

982

964

946

930

914

899

885

= soil

0.8

0.9

1

1.1

1.2

1.3

1.4

1.5

1.6

1.7

1.8

1.9

2

2.1

2.2

2.3

= P1rc soil( )276.3

268.7

261.8

255.3

249.3

243.7

238.4

233.5

228.8

224.5

220.3

216.4

212.6

209

205.6

202.4

=

I1rc sr( ) 1090= (A)

P1rc sr( ) 249.3= (,VA)

+c_rc I1hdd sr( )2

!cac_rc 15.099=:=

+s_rc 1_rc+c_rc 0.497=:=

+d_rc +d 0.49=:=

+total_rc +c_rc +s_rc+ +d_rc+ 16.09=:=



29/76


fin_rc soil( ) ma% 1 !cac_rc I1rc soil( )2

+d

2

+

:=

fin_rc sr( ) 80.9=

m_rc 80.5=

= Re-#ction 4%ctors

=1 R41 C%$*es in tro#"h &or 5%rio#s !e+ths %n- L%in" 6di$tance %rom round $ur%ace to cable axi$

h'ca 600 700, 2000..:= (Variable i$tance$ o% "able$ %rom round $ur%ace@ mm)

(t_!1hr# $2.hr# $

do

:=

(1t_!1hr# $ ln (t_!1hr# $ (t_!1hr# $2

1+

:=


trou (to u$ed at numerator o% te %inal %ormula)@ .m6;4

trn_!1

soilhr,

( )

soil

2

(

1t_!1hr# $ ln1

2hr

str

2

+

+

:=

4trd_!1 soilhr,( )soil

2

(1t_!1hr# $

1 0.5 1a_trms str, !cac_tr,( ) 1c_trms str, !cac_tr,( )+( )+1 1b_trms str, !cac_tr,( )+( )

ln1

2hr

str

2

+

+

:=

9xternal ermal #e$i$tance %or current ratin calculation in trou (to u$ed at


I1tr_!1 soil hr,( )tr +d 0.51 n 2 3+ 4trn_!1 soil hr,( )+( )+

!cac_tr1 n !cac_tr 1 1_tr+( ) 2+ n !cac_tr 1 1_tr+( ) 3 4trd_!1 soilhr,( )+( )+

:=

P1tr_!1 soil hr,( ) I1tr_!1 soilhr,( )Up_13210 6


!1t soil hr,( )I1tr_!1 soil hr,( )

I1trst( )

:=



30/76

h'ca

600

700

800

900

1000

1100

1200

1300

1400

1500

1600

1700

1800

1900

2000

= !1t st h'ca,( )1.099

1.071

1.048

1.03

1.014

1

0.988

0.977

0.967

0.958

0.95

0.943

0.936

0.929

0.923

= I1tr_!1 st h'ca,( )1160

1131

1107

1087

1070

1056

1043

1031

1021

1012

1003

995

988

981

975

= P1tr_!1 st h'ca,( )265

259

253

249

245

241

238

236

233

231

229

228

226

224

223

=

600 800 1000 1200 1400 1600 1800 2000220

232.5

245

257.5

270

abl *ain' dpth: mm

7ransmissionPo;r:1 hddh'ca,( )215

210

206

202

199

195

193

190

188

187

186

185

185

185

185

185

185

185

185

185

185

185

185

185

=!>1t hdd h'ca,( )

1.138

1.112

1.089

1.068

1.049

1.032

1.018

1.005

0.996

0.989

0.984

0.98

0.978

0.977

0.976

0.976

0.975

0.975

0.975

0.975

0.975

0.975

0.975

0.975

=

3500 5416.7 7333.3 9250 11166.7 13083.3 150000.97

1

1.04

1.07

1.11

1.14

,pth of cabl circ(it: mm

!d(ction8acto

r:!8>1hdd

!>1t hdd h'ca,( )

h'ca

Final Ampacity calculation N7144.xmcd + 22.03.2013


59/76

D3 R481 C%$*es in -#ct$%nk &or ro%- crossin" &or 5%rio#s !e+ths %n- L%in" )ith inter%ction o&900 kV circ#its

h'ca 750 1000, 3000..:= (Variable i$tance$ o% "able$ axi$ %rom round $ur%ace@ mm)

,"02_"1ahr# $ ,400b_132_rc 400_rc+( )2

hr h'400_rc( )2

+:=(di$tance beteen 02 and 1@ mm)

,"02_"1mahr# $ ,400b_132_rc 400_rc+( )2

hr h'400_rc+( )2

+:=(di$tance beteen 02 and mirror imae 1@ mm)

,"02_"2ahr# $ ,400b_132_rc( )2

hr h'400_rc( )2


,"02_"2mahr# $ ,400b_132_rc( )2

hr h'400_rc+( )2


,"02_"3ahr# $ ,400b_132_rc 400_rc( )2

hr h'400_rc( )2


,"02_"3mahr# $ ,400b_132_rc 400_rc( )2

hr h'400_rc+( )2


,"02_"4ahr# $ ,400a_132_rc 400_rc+( )2

hr h'400_rc( )2


,"02_"4mahr# $ ,400a_132_rc 400_rc+( )2

hr h'400_rc+( )2

+:= (di$tance beteen 02 and mirror imae 4@ mm)

,"02_"5ahr# $ ,400a_132_rc( )2

hr h'400_rc( )2

+:=(di$tance beteen 02 and +@ mm)

,"02_"5mahr# $ ,400a_132_rc( )2

hr h'400_rc+( )2

+:=(di$tance beteen 02 and mirror imae +@ mm)

,"02_"6ahr# $ ,400a_132_rc 400_rc( )2

hr h'400_rc( )2

+:=(di$tance beteen 02 and @ mm)

,"02_"6mahr# $ ,400a_132_rc 400_rc( )2

hr h'400_rc+( )2

+:=(di$tance beteen 02 and @ mm)



60/76

I400rca

P400rc1000( )3 400( )

:= ("urrent in te 400 kV circuit a$ a %unction o% te tran$mitted poer@ A)

I

400rca

1155=

+400_arca !A_400_rc 1 1a_rc_400+( ) I400rca2

+d400+:= (9$timated lo$$e$ in te 400 kV pa$e a circuit a$ a %unction o%te tran$mitted poer 5 at 400 kV@ ;6m)

+400_arca 15.209=

+400_brca !A_400_rc 1 1b_rc_400+( ) I400rca2 +d400+:= (9$timated lo$$e$ in te 400 kV pa$e b circuit a$ a %unction o%

te tran$mitted poer 5 at 400 kV@ ;6m)+400_brca 14.827=

+400_crca !A_400_rc 1 1c_rc_400+( ) I400rca2 +d400+:= (9$timated lo$$e$ in te 400 kV pa$e c circuit a$ a %unction o%

te tran$mitted poer 5 at 400 kV@ ;6m)+400_crca 14.822=

(emperature ri$e at te $ur%ace o% cable produced by te poer

o% %urte$t 400 kV circuit and di$$pated in cable 02)"02_"1a soil hr,( )

1

2soil +400_arca ln

,"02_"1mahr# $

,"02_"1ahr# $

:=



1

2soil +400_brca ln

,"02_"2mahr# $

,"02_"2ahr# $

:=



1

2soil +400_crca ln

,"02_"3mahr# $

,"02_"3ahr# $

:=


o% clo$e$t 400 kV circuit and di$$pated in cable 02)"02_"4a soil hr,( )

1

2soil +400_arca ln

,"02_"4mahr# $

,"02_"4ahr# $

:=



1

2soil +400_brca ln

,"02_"5mahr# $

,"02_"5ahr# $

:=



1

2soil +400_crca ln

,"02_"6mahr# $

,"02_"6ahr# $

:=

Prca soilhr,( ) "02_"1a soil hr,( ) "02_"2a soil hr,( )+ "02_"3a soil hr,( )+ "02_"4a soil hr,( )+"02_"5a soilhr,( ) "02_"6a soil hr,( )++

...

:=

(otal ri$e abo/e ambient temperature at te $ur%ace o% te 02 cable@ o$e ratin i$ bein determined@ cau$ed by te

poer di$$pated by te oter cable$ in roup)

h',-_!)1hr# $ hr do

2+ tpip_rc+ dopip_rc 200

,-+:=



61/76

(,-_!)1hr# $

h',-_!)1hr# $

rb

:=

4r_corr_!)1 soilhr,( ) /

2

soil concrt( ) ln (,-_!)1hr# $ (,-_!)1hr# $

2 1+

:=

(rc_!)1hr# $2hr

dopip_rc

:=

(1rc_!)1hr# $ ln (rc_!)1hr# $ (rc_!)1hr# $2

1+

:=

43rn_!)1 soil hr,( )concrt

2

(1rc_!)1hr# $ ln1

2hr

str

2

+

+

4r_corr_!)1 soilhr,( )+:=


duct bank (to u$ed at numerator o% te %inal %ormula)@ .m6;

43rd_!)1 soil hr,( )concrt

2

(1rc_!)1hr# $

1 0.5 1a_rc ms src, !cac_rc,( ) 1c_rc mssrc, !cac_rc,( )+( )+1 1b_rc mssrc, !cac_rc,( )+( )

ln1

2hr

str

2

+

+

4r_corr_!)1 soilhr,( )+

...:=

9xternal ermal #e$i$tance %or current ratin calculation in duct bank (to u$ed at


4rn_!)1 soilhr,( ) 41rc 42rc+ 43rn_!)1 soilhr,( )+:= 9xternal ermal #e$i$tance %or current ratin calculation induct bank (to u$ed at numerator o% te %inal %ormula)@ .m6;

4rd_!)1 soilhr,( ) 41rc 42rc+ 43rd_!)1 soilhr,( )+:= 9xternal ermal #e$i$tance %or current ratin calculation induct bank (to u$ed at denominator o% te %inal %ormula)@ .m6;

I1rc_!)1 soilhr,( )rc Prca soilhr,( )( ) +d 0.51 n 2 3+ 4rn_!)1 soilhr,( )+( )+

!cac_rc1 n !cac_rc 1 1_rc+( ) 2+ n !cac_rc 1 1_rc+( ) 3 4rd_!)1 soil hr,( )+( )+

:=

P1rc_!)1 soil hr,( ) I1rc_!)1 soil hr,( )Up_13210 6


!)1t soilhr,( )I1rc_!)1 soil hr,( )

I1132_400rc soil P400rc,( )

:=



62/76

h'ca

750

1000

1250

1500

1750

2000

2250

2500

2750

3000

= Prca sr h'ca,( )3.337

4.282

5.094

5.76

6.274

6.648

6.898

7.047

7.115

7.122

= !)1t sr h'ca,( )1.062

1.007

0.967

0.937

0.913

0.894

0.879

0.867

0.857

0.848

= I1rc_!)1 sr h'ca,( )1095

1039

998

966

942

923

907

894

884

875

= P1rc_!)1 sr h'ca,( )250

237

228

221

215

211

207

204

202

200

=

750 1125 1500 1875 2250 2625 30000.84

0.89

0.94

1

1.05

1.1

,pth of cabl circ(it: mm

!d(ction8actor:!8)1rc

!)1t sr h'ca,( )

h'ca



63/76

D9 R4?2 C%$*es in tro#"h &or 5%rio#s soi* resisti5iti )ith inter%cion o& 900 kV circ#its


I1tr_!2 soilP,( )tr Ptr soilP,( )( ) +d 0.51 n 2 3+ 4trn soil( )+( )+

!cac_tr1 n !cac_tr 1 1_tr+( ) 2+ n !cac_tr 1 1_tr+( ) 3 4trd soil( )+( )+

:=

P1tr_!2 soil P,( )I1tr_!2 soil P,( ) 3 132( )

1000:=

!2t soil P,( )I1tr_!2 soil P,( )I1132_400tr st P,( )

:= (#eduction Factor due to 400 kV circuit)

soil

0.8

0.9

1

1.1

1.2

1.3

1.4

1.5

1.6

1.7

1.8

1.9

2

2.1

2.2

2.3

= !2t soil P400tr,( )1.208

1.147

1.093

1.044

1

0.96

0.923

0.889

0.857

0.828

0.8

0.774

0.75

0.727

0.705

0.684

= I1tr_!2 soilP400tr,( )1171

1112

1059

1012

969

930

895

862

831

802

776

750

727

704

683

663

= P1tr_!2 soil P400tr,( )268

254

242

231

222

213

205

197

190

183

177

172

166

161

156

151

=



64/76

0.8 1.1 1.3 1.6 1.8 2.1 2.30.6

0.7

0.8

1

1.1

1.2

oil thrmal rsisti&it: ?.m@+

!d(ction8actor:!82tr

!2t soil P400tr,( )

soil

D@ R4Y2 C%$*es in !! crossin" &or 5%rio#s soi* resisti5it )ith inter%cion o& 900 kV circ#its


I1hdd_!>2 soilP,( )hdd Phdd soil P,( )( ) +d 0.51 n 2 3+ 4hdd soil( )+( )+

!c

ac_hdd

1 n !cac_hdd

1 1_hdd

+

( ) 2+ n !c

ac_hdd

1 1_hdd

+

( ) 3 4

hdd

soil( )+

( )+

:=

P1hdd_!>2 soil P,( )I1132_400hdd soilP,( ) 3 132( )

1000:=

!>2t soilP,( )I1hdd_!>2 soil P,( )

I1132_400hdd hddP,( ):= (#eduction Factor due to 400 kV circuit)



65/76

soil

0.8

0.9

1

1.1

1.2

1.3

1.4

1.5

1.6

1.7

1.81.9

2

2.1

2.2

2.3

= !>2t soil P400hdd,( )1.12

1.057

1

0.949

0.902

0.859

0.819

0.782

0.748

0.715

0.6850.656

0.628

0.601

0.576

0.551

= I1hdd_!>2 soil P400hdd,( )927

875

828

785

747

711

678

648

619

592

567543

520

498

476

456

= P1hdd_!>2 soilP400hdd,( )212

200

189

180

171

163

155

148

142

135

130124

119

114

109

104

=

0.8 1.1 1.3 1.6 1.8 2.1 2.30.6

0.7

0.8

0.9

1

1.1


!d(ction8actor:!8>2hdd

!>2t soil P400hdd,( )

soil



66/76

D; R482 C%$*es in !#ct $%nk &or crossin" &or 5%rio#s soi* resisti5it )ith inter%cion o& 900 kV

circ#its


I1rc_!)2 soilP,( )rc Prc soil P,( )( ) +d 0.51 n 2 3+ 4m soil( )+( )+


:=

P1rc_!)2 soil P,( )I1132_400rc soil P,( ) 3 132( )

1000:=

!)2t soilP,( )I1rc_!)2 soil P,( )I1132_400rc sr P,( )

:= (#eduction Factor due to 400 kV circuit)

soil0.8

0.9

1

1.1

1.2

1.3

1.4

1.5

1.6

1.7

1.8

1.9

2

2.1

2.2

2.3

= !)2t

soilP

400rc,

( )1.131.094

1.06

1.029

1

0.973

0.947

0.923

0.899

0.878

0.857

0.837

0.818

0.8

0.783

0.766

= I1rc_!)2

soil

P400rc

,

( )11651128

1094

1062

1032

1003

977

952

928

905

884

863

844

825

807

790

= P1rc_!)2

soil

P400rc

,

( )266258

250

243

236

229

223

218

212

207

202

197

193

189

185

181

=



67/76

0.8 1.1 1.3 1.6 1.8 2.1 2.30.76

0.83

0.91

0.98

1.06

1.13


!d

(ction8actor:!8)2rc

!)2t soil P400rc,( )

soil

D> R4?3 C%$*es in tro#"h &or 5%rio#s soi* tem+er%t#res )ith inter%cion o& 900 kV circ#its

'ro(nd 30 31, 50..:=

!3 'ro(nd( ) ma% 'ro(nd:=

I1tr_!3 soilP, 'ro(nd,( )!3 'ro(nd( ) Ptr soil P,( )( ) +d 0.51 n 2 3+ 4trn soil( )+( )+

!cac_tr

1 n !cac_tr

1 1_tr

+

( ) 2+ n !c

ac_tr 1

1_tr+

( ) 3 4

trd

soil( )+

( )+

:=

P1tr_!3 soil P, 'ro(nd,( )I1tr_!3 soil P, 'ro(nd,( ) 3 132( )

1000:=

!3t soil P, 'ro(nd,( )I1tr_!3 soilP, 'ro(nd,( )

I1132_400tr soil P,( ):= (#eduction Factor due to 400 kV circuit)



68/76

'ro(nd

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

= !3t st P400tr, 'ro(nd,( )1.114

1.103

1.092

1.081

1.07

1.059

1.047

1.036

1.024

1.012

1

0.988

0.976

0.963

0.95

0.938

0.925

0.911

0.898

0.885

0.871

= I1tr_!3 st P400tr, 'ro(nd,( )1080

1070

1059

1048

1037

1026

1015

1004

992

981

969

957

946

933

921

909

896

883

870

857

844

= P1tr_!3 st P400tr, 'ro(nd,( )247

245

242

240

237

235

232

229

227

224

222

219

216

213

211

208

205

202

199

196

193

=

30 33.3 36.7 40 43.3 46.7 500.87

0.92

0.97

1.02

1.07

1.12

oil mprat(r: ?

!d(ctio

n8actor:!83tr

!3t st P400tr, 'ro(nd,( )

'ro(nd



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D< R4Y3 C%$*es in !! crossin" &or 5%rio#s soi* tem+er%t#res )ith inter%cion o& 900 kV circ#its

'ro(nd

30 31, 50..:=

!>3 'ro(nd( ) ma% 'ro(nd:=

'ro(nd 30 31, 50..:=I1hdd_!>3 soilP, 'ro(nd,( )!>3 'ro(nd( ) Phdd soilP,( )( ) +d 0.51 n 2 3+ 4hdd soil( )+( )+

!cac_hdd1 n !cac_hdd 1 1_hdd+( ) 2+ n !cac_hdd 1 1_hdd+( ) 3 4hdd soil( )+( )+

:=

P1hdd_!>3 soil P, 'ro(nd,( )I1hdd_!>3 soil P, 'ro(nd,( ) 3 132( )

1000

:=

!>3t soilP, 'ro(nd,( )I1hdd_!>3 soil P, 'ro(nd,( )

I1132_400hdd soil P,( ):= (#eduction Factor due to 400 kV circuit)

'ro(nd

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

= !>3t hddP400hdd, 'ro(nd,( )1.123

1.111

1.099

1.087

1.075

1.063

1.051

1.038

1.026

1.013

1

0.987

0.974

0.96

0.946

0.932

0.918

0.904

0.89

0.875

0.86

= I1hdd_!>3 hdd P400hdd, 'ro(nd,( )929

920

910

900

890

880

870

859

849

838

828

817

806

795

783

772

760

748

736

724

712

=P1hdd_!>3 hddP400hdd, 'ro(nd,( )212

210

208

206

204

201

199

196

194

192

189

187

184

182

179

176

174

171

168

166

163



70/76

30 33.3 36.7 40 43.3 46.7 500.86

0.91

0.96

1.02

1.07

1.12

oil mprat(r: ?

!d(ction8actor:!8>3h

dd

!>3t hdd P400hdd, 'ro(nd,( )

'ro(nd

DD R483 C%$*es in !#ct $%nk &or crossin" &or 5%rio#s soi* tem+er%t#res )ith inter%cion o& 900kV circ#its

'ro(nd 30 31, 50..:=

!)3 'ro(nd( ) ma% 'ro(nd:=

I1rc_!)3 soilP, 'ro(nd,( )!)3 'ro(nd( ) Prc soil P,( )( ) +d 0.51 n 2 3+ 4m soil( )+( )+


:=

P1rc_!)3 soil P, 'ro(nd,( )I1rc_!)3 soilP, 'ro(nd,( ) 3 132( )

1000:=

!)3t soilP, 'ro(nd,( )

I1rc_!)3 soil P, 'ro(nd,( )I1132_400rc soil P,( ):= (#eduction Factor due to 400 kV circuit)



71/76

'ro(nd

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

= !)3t sr P400rc, 'ro(nd,( )1.108

1.098

1.087

1.077

1.066

1.055

1.045

1.034

1.022

1.011

1

0.989

0.977

0.965

0.953

0.941

0.929

0.917

0.904

0.892

0.879

= I1rc_!)3 sr P400rc, 'ro(nd,( )1143

1132

1122

1111

1100

1089

1078

1066

1055

1043

1032

1020

1008

996

984

971

959

946

933

920

907

= P1rc_!)3 sr P400rc, 'ro(nd,( )261

259

256

254

251

249

246

244

241

239

236

233

230

228

225

222

219

216

213

210

207

=

30 33.3 36.7 40 43.3 46.7 500.87

0.92

0.97

1.02

1.07

1.12

oil mprat(r: ?

!d(ction8actor:!8>3hdd

!>3t hdd P400hdd, 'ro(nd,( )

'ro(nd



72/76

D10 R4?9 C%$*es in tro#"h &or 5%rio#s c%$*e se+%r%tion )ith inter%cion o& 900 kV circ#its

sca 200 250, 600..:=

,%02_%1bsca( ) ,400b_132_tr sca+( )2

h'1ca_tr h'400_tr( )2

+:=(di$tance beteen ?02 and ?1@ mm)

,%02_%1mbsca( ) ,400b_132_tr sca+( )2

h'1ca_tr h'400_tr+( )2

+:=(di$tance beteen ?02 and mirror imae ?1@ mm)

,%02_%2bsca( ) ,400b_132_tr( )2

h'1ca_tr h'400_tr( )2


,%02_%2mbsca( ) ,400b_132_tr( )2

h'1ca_tr h'400_tr+( )2


,%02_%3bsca( ) ,400b_132_tr sca( )2

h'1ca_tr h'400_tr( )2


,%02_%3mbsca( ) ,400b_132_tr sca( )2

h'1ca_tr h'400_tr+( )2


,%02_%4bsca( ) ,400a_132_tr sca+( )2

h'1ca_tr h'400_tr( )2


,%02_%4mbsca( ) ,400a_132_tr sca+( )2

h'1ca_tr h'400_tr+( )2


,%02_%5bsca( ) ,400a_132_tr( )2

h'1ca_tr h'400_tr( )2

+:=(di$tance beteen ?02 and ?+@ mm)

,%02_%5mbsca( ) ,400a_132_tr( )2

h'1ca_tr h'400_tr+( )2

+:=(di$tance beteen ?02 and mirror imae ?+@ mm)

,%02_%6bsca( ) ,400a_132_tr sca( )2

h'1ca_tr h'400_tr( )2

+:=(di$tance beteen ?02 and ?@ mm)

,%02_%6mbsca( ) ,400a_132_tr sca( )2

h'1ca_tr h'400_tr+( )2

+:=(di$tance beteen ?02 and ?@ mm)



73/76


74/76


75/76

POWER CABLEIMPE!A'CE

CALC.LATIO'(



76/76

V%ri%$*e !%t%

) 0.05:= -el% impedance %actor

1

%p)

0.2

:= Factor %or calculation conductor mean $el% eometric di$tance

0.779=

r

Mathcad - Ampacity Calculation

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