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Analysis of Transmission Line Parameters: Inductance and Capacitance Calculations, Study notes of Power Electronics

This document delves into the calculation of inductance and capacitance in transmission lines, crucial for power system design and analysis. it covers various configurations, including single-phase and three-phase lines, and explores the impact of factors like conductor geometry and spacing on these parameters. the detailed calculations and formulas provided are valuable for electrical engineering students and professionals.

Typology: Study notes

2024/2025

Available from 05/13/2025

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Modute
1
GenualPS-1
Sntisdution
-S6ion
and
distiibuhion
Uranmission
because
9enation
(
low)
)!1kVOn
6.6kVox
3
aky
(
3-¢
i66kV,
&eonday
lime?
tansmi
Ruciving
stotoh
ule
(33
kVoN
66kv
0
Lorductán
matirial
a
Bumanw
distnibey
(|KV,
6.6kVan
3.3
Kv)
statien
Kaconolany
distabutn
Consums
415
Vor
Q30
V
1
Jss
cost
tronsnission
phose
A
Vonduetr
plane
Beti
Doubl
cineuit
B
lction
b
6!
(ututn
padh)
paing
olo
dn
selcton
o
Tm
ame,
calot
XJ00/.
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff
pf12
pf13
pf14
pf15
pf16
pf17
pf18
pf19

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Download Analysis of Transmission Line Parameters: Inductance and Capacitance Calculations and more Study notes Power Electronics in PDF only on Docsity!

Modute 1 GenualPS-

Sntisdution

-S6ion and distiibuhion Uranmission

because

9enation

( low)

)!1kVOn 6.6kVox^3 aky^ (^ 3-¢

i66kV,

&eonday

tansmi lime?

Rucivingstotoh

ule (33^ kVoN^ 66kv

0 Lorductán^ matirial^ a

distnibeyBumanw

(|KV, 6.6kVan3.3 Kv)

statien

Kaconolany distabutn

Consums

415 Vor Q30 V

1 Jss cost tronsnission

phose

A Vonduetr

plane

Beti

Doubl cineuit

B

lction

b 6!

(ututnpadh)

paing

olo

dn selcton^ o^ Tm^ ame,^ calot

XJ00/.

gcondluctörs

*,ChR lne^ pawmatins^ /eonst " 3typs c ene

> Short ne - Cs

’Medium Wne Goth C omal l one

lumpd pMamet

long ine

distibutid parametin

lumped

line

Cs consolved as

unemtrom ono o

ladoin the uingl^ ine^ disgam Thomsmissi on &Qitubution(5 manke)

’ Sndlitaté the componinta, vtg

give meoA paunta

'R dpnds^ on^ diutane

paration (D)^ and^ hadius^ of

conduoth diamutin c^ the^ eonaluetan

oH-l

'Al is the^ common^ matiual^ sol Bimall ondutos are

&tondlolstungth ox/m pend- line) (Tses

Cend swtacs^ met^ touek

Bubeonduelons - madle sal

ACSR

ACSR ’ dlumiium londuclo

B0/7 yontalin

X 100Y.

(nethn bundle mon

bundle cond?

Jmuot conduetörs

bundle

cambe

tliandd)

bumdle

3- in ASym

&biandd

Lond

6

Lmymmethutalymneualty

Lc, and^ aloulaton^ L7c

SkIN

SKIN G

  • out^ the^ cord,^ When^ a^ is^ o tlhauk the^ tond,^ et^ drity^ so

&ame dietm

et, &o^ et^ dinsity

conol's.uan^ side Q. Shont motes en:

dineet

set, moe^ &o^ etat^ thu^ dn

8ayng cend

bide con'

oubte ekt^ B-d^ in^ toriaontal^ #ndctanez^ ol^

singe UEnt

line

ut us^ wensidlex^ CHOss^ seotienal

vio the^ cona^ as^ shoun^ in

Radius the^ cond"^ s

pats thraugh^ the^ cond"^ &when^ ct

loaing throuh^ the^ sordl, typs gu^ inkage^ bi

1 the centhe

I (^) (et dunaity)

do= Byx 1xdx

I dz

dknet, uc^ linkage^ u^ o^ intömal

3xhRIxlks singl,cond

fon men magnetii mat

Yat datonsidn at aa ditnsmalla(atpt^ thiskne )

om the^ santTo^ ndr. Ha

d -^ B,^1 .dz^ oI^ d

Volal, Y'tal^ Pint^ t+^ Pat

Yotal

A

87

D

LA.

ene, in^ plaea,^ e^ have^ D.

Lloop

A=1X 1oX0188 m n' 0.^7488 X10m

Loop

group efconduatou

Joch eondI,

buch that

38 X10- H/m

38x 5x^ 1Dx^ ID-H.

=o4t tt^ 19x^ I0^ HAn

0.7H88X

-ally in paNallel

,'p 0.988XI

Itt,t.^. ..^ +h=

bubeonductou ane^ connebal^ leetue

Die Dap Dyp

D5P

ot us^ ensiole^ a^ at.^ Pat^ a^

distanee

an auay^ om^ the^ cenl"^ tente,

throuh sordva,

Dnp

' n Dy

De, Dep,^ Dsp,Dnp^ the^ pt^ Pu^

e inkag

rdusSubeond

NowsA

7

3

Byfuting th valu

Compodilhthe nd^ tm^ above^ tnprssier

oth cond's

Di

heondJ duu

13

kubeerd' dueto

Dne

Ini-(It¡+^ IgttIn-i^ )

Dyn

Tn tn^ ahot^ g?

1

D

kpacesl ovenhiad^ condr^ aa^ 6houn in t thraugh lnch^ cond"^ uguily

afbte. b lintage tonda

whe =(-0.5tj 0.866) -ax10Jabn t a-o5-j0849)

Ja An-jVac n

ab

kave aondueton^ induetan^ a^ o

nat taual^ &ontains^ rmagino

fimsmutial inductam also,

haye

Lord", a linkage

A

LQUal v^ dhyo^ in^ the3^ pa

e

kalaned, &o^ to^ ouerLeme^ ths

B

Cend's at^ inthchangid^ at^ rig^ ul

A

Uncn

induts

distance

Yhongpoaitier o that ech condr teupies th Origínal poution eney sond" OMin an toual distance

lqualsu the^ induetanea^ andl

pdantal drspe by muthod of tonpauton) Bamaks Vuankpostion- ntinchanq,the the phoblem^ unqual^ vty.^ (at^ nugulsa^ ti

45/0a/

&. Jind G, MR. of the qin biandid cond os shown in

the condn

Dma

(ey hyhagona' tim)

5

  • kanded
  • Ds,^ =Ds;^ =^ bs

s, = Q.Q57M^ =Ds^ =^ Ds,=^ Dsy=^ Ds

  1. 44N

J.346Xn

A

D=Im

ind the industnee e the Und

Dsy = 1.7AN = 1.74X& m

7 Ds, 2y.308 X. 308 mmI

Ds, &^ 25=^ &-25^ x^ 50-

DsA .68x^ 0.^1308 xN'=^ 1.

Q aleutaliinduetane^ p^

phou

RUn km^ o^ oleublu^ tht^

line da-d

Nouklu okt^ lime^ as^ khowm^ in^

g

3m

loch eon

k-4.om

k-4.5m

baln Cal^ ulottw.nt^ the^ olistomeeoths

bac = 6m

5.5m

Daa = N=^ 0.7488^ N0,948EXD,

Dab JB+o5)= 8. 041% Dac' = 4,6m

Dab'= 34 5=6.

Daa' J454e 1Sm Db =0.^ 6a^ XI0-m Dba = 3. 04lm' Dbe =^ 3,^041 m Dha' =^ 5.8%^ m Dbb'= 6.5 m

Dec

a'

Dbel = 6.83 m

== 0.6230.6Q3 tmX10m

dlousleekth

Dea =6m Deb =3.04| m.

  1. CR3XID m

Dea' 46m

Deb' = 5.83 m

Doc' .5n

Da'a 4.6m

Da'e 4. 5m

Dale' 3.044 m

Dala'= o.623X1D m

Dalo' 6 m

DB'a = 5.8% mm

D'b =^ 5,5^ m

Db'e =^ 5.8B^ mn

Dya'= 3.041m

D0.GA3 XI0 m

DBe' = 3.041 m De'a = A.6m

Dc'e = 1.5m

De'b'= 3.04l m

Dc'a'z 0.623 XID

Daa'

7 Ds,^ O.6a5x10"x^ 1.5X1.5X

Ds,^ =^ 0.2l6^ m^ Dsa

-06 t a^ tt pathMeton

Lavg

-A

NDir'Diz...Dn'

= Lta tLat

s0,LAN.LA m

3 m

Sinse all^ the^ kub-

condustors ot

guoup Aane

luthicallypanalil,

A> (n=4,8mm )

A

Ds

Ds

Din'

(h=2.4mm)

Dim)

Dim)

  • Lm

Notadoublo 3 ekt

(sr) Grm ine, it s

Cemnposithcon, B.NA

ing capacitame, o

Considu a^ singl^ -phasu^

line spa

mubhe lingh olst a^ hon^ the^ untie^

of cord'

A. Potinthol^ at^ p^ duu^ t6^ t

A

Now, Total potnthal

t,Pi the^ pt.^ ata

N

t

m 3,^ n22npg^ poao'AB*aeo

D-X whou, &o^ t^ thepmitivity

P

the cond^ (Hlo^ A^6

B) e

Ln D

lopaeitmea

NutualP/mw.n.t

suly en.M. D

thee s ne

0.1488N, &imple use

/m

with CAb)

dont (^) useN' in (^) tapaitömee

Ws N'= 0,7188M

M

(Cözulating e)

V3 (^ connutz

to (^) caleuott (^) shanging t, (^) use pouen phase vala vetge bury industie^ calaulation^ psltn,^ Aksuming^ that^ uatm^ à lanqing suunt,

only capaitnce.

rd the

also oaleulak^ the^ chasging^ ct.

fouing thsough^ that^ lihe

1

CA

caleulotion

8Ame

  • Writa unit

thu ohsign

We cam

hadiusSame^ sine 18

damefor all

valus L^ c.^ IromJrom^ Bis,tus,^ We^ tam

duin of^ ouohad^ line

wntmuthal

moe suiblei

patintil

10orduslrmoge

the leet^ of^ anth

on oapastanet,

7

al kame hucoht

we hae

tn/2h. DakDab'

contt

h

Here

21to

bn Dak

ln Dab

9pet of^ anth^ on

h

Da

ihout leut^ ol^ anth,

whdha

apauitanee -

BUngl phL ot, céndA&Bbe^ spanatol by^ a

aaloalanas

+a

1

in diammet^ omnd^ 18m^ apart.^ the

anthhioht o^ he^ condr^ aboe^ the^ grcund.

V Lnb. ah

75m.

fon 36 km,

D= 1.8m

with lleet tonth,

D

95mm 5X10 m

(5xip3 Qx1. X 8.854 XID n360x X LWB24+ 55.60312X 540 R28. 55.60312x 5.8 19

= 35X10°x9.46XIoF = 33|-1^ X10=^ 0.331^ XI

SFNON' n,^ lopaeitive^ caleulation

C efpet^ o^ tanth^ is^ in^ c^

caleulatin S*Ns considd^ in^ indun balelat

without ypot^ o^ utth, C=

D=s0em

ln 3/DasDb Dea

liine

distn othors. (Su motis)

Caleulotn

Adoube^ okt line^ (may^ o^

may ar

be in^ hexagonal^ patim^ )

without joto^ vanth^ ,

oiktn

Da D bea'

others

ime

(Su motis)

# loncipt^ ef^ sef^ 6jMD^ &

Mutaal 6 Mb

Caloulaton (80SShont^ km)^ Medium

(80-240)km

Adoutle^ okt^ line^ (may^

o may^ al

te in^ hexagonal^ pattm )

|/nfph. ine

(should e

(ond usd)

R

Long

'Oum Tm^ line^ by^ onaysis^ Tm

Pin

mens

(aboe

Tm Bine

VeL

hne

XL

x 400.

shet

QAokm)

-tönne is gnoud

X 100/.

posaible

T'm (^) (eablesine )

Ve

ond

nadeteveload

Raetane ps phase

Shout T/m

ine , tape

line

u sokm).Oay

dt, Rusietanes^ pes^ chase^ =RXL^ n

owall Tn tine