Power System Analysis

(Plase refer to pdf files in Compact Disc)

253

Power System Analysis

- Accra West -

(2006)

Pow

er S

yste

m A

naly

sis

for S

tep

A -

Pow

er S

yste

m A

naly

sis

for e

xist

ing

syst

em u

sing

Mac

ro d

eman

d fo

reca

st -

No.

24N

o.57

No.

57

→I m

axR

T1

=.7Ω

XT1

=.6Ω

RT2

=.0Ω

XT2

=.0Ω

RB

2=.

0ΩX

B2

=.0Ω

Trun

k Li

ne 1

Trun

k Li

ne 2

Bra

nch

Line

2

RB

1=.

0ΩX

B1

=.0Ω

RB

3=.

0ΩX

B3

=.0Ω

Bra

nch

Line

1B

ranc

h Li

ne 3

No.

57N

o.57

====

=Equ

atio

n===

==V

i1 =

Vs

- 1.7

32・(R

T1co

sθ +

XT1

sinθ

)・(L

T1・f T

1 + L

T2 +

LB

1 +

L B2 +

L B3)

Vi2 =

Vi1

- 1.

732・

(RT2

cosθ

+ X

T2si

nθ)・

(LT2

・f T

2 + L

B2 +

L B3)

Vr1

= V

i1 -

1.73

2・L B

1(R

B1c

osθ

+ X

B1s

inθ

)・f B

1

Vr2

= V

i2 -

1.73

2・L B

2(R

B2c

osθ

+ X

B2s

inθ

)・f B

2

Vr3

= V

i2 -

1.73

2・L B

3(R

B3c

osθ

+ X

B3s

inθ

)・f B

3

LT1

= I

max

・C

AP

T1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LT2

= I

max

・C

AP

T2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

1 =

Im

ax・C

AP

B1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

2 =

Im

ax・C

AP

B2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

3 =

Im

ax・C

AP

B3／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

I max

= L

T1

+ L

T2

+ L

B1 +

LB

2 +

LB

3

Vs

: Sup

ply

Vol

tage

I max

: Max

imum

Cur

rent

: Res

ista

nce

Vi1

: Int

erim

Vol

tage

L T1

: Loa

d (T

runk

line

1)

: Rea

ctan

ceV

i2: I

nter

im V

olta

geL T

2: L

oad

(Tru

nk li

ne 2

)f T

1, f T

2, f B

1, f B

2, f B

3

Vr1

L B1

: Loa

d (B

ranc

h Li

ne 1

)V

r2L B

2: L

oad

(Bra

nch

Line

2)

Vr3

L B3

: Loa

d (B

ranc

h Li

ne 3

)co

sθ: P

ower

Fac

tor

: Dis

pers

al L

oad

Fact

or

: Tot

al T

rans

form

er C

apac

ity o

f sec

onda

ry s

ubst

atio

ns

Type

of D

istri

bute

d Lo

ad

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

2

L B1 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

AN

one

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

1

Non

e

Type

of D

istri

bute

d Lo

ad

Line

Len

gth

Len B

1

Vol

tage

Vr2

10.6

kV(4

%D

rop)

Load

ing

#DIV

/0!

Rat

ed C

urre

nt=A

Max

imum

L T1

(Dis

tribu

ted

Load

)

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

1

4215

kVA

L B2 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

Pow

er fa

ctor

Loading

Load

LB

1

Sub

stat

ion

Nam

eS

TATI

ON

AFe

eder

Nam

eA

120

Load

ing

Type

-3

Cur

rent

I max

474.

0A

Load

LT1

Type

of D

istri

bute

d Lo

ad

Line

Typ

e47

4 A18

5ALX

PLE

(11k

V)

Equ

ality

Line

Leg

th L

enT2

Line

Typ

e

Vol

tage

Vi1

10.6

kVR

ated

Cur

rent

141%

10.6

kV(4

%D

rop)

Vol

tage

Vr1

#DIV

/0!

Line

Typ

eN

one

0.85

Line

Leg

th L

enT1

5.0k

m

(cosθ)

(4%

Dro

p)=A

Vol

tage

VS

11.0

kV

Line

Len

gth

Len B

1

Line

Typ

e

Type

of D

istri

bute

d Lo

ad

: Inp

ut d

ata

in c

olor

ed c

ells

=335

A

Rat

ed C

urre

nt=A

Load

LB

2A

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

2

Load

LT2

A

L T2

(Dis

tribu

ted

Load

)

Loading

0%R

ated

Cur

rent

Vol

tage

Vi2

10.6

kV(4

%D

rop)

Load

ing

L B3 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

Non

e

Type

of D

istri

bute

d Lo

ad

Load

LB

3

Line

Len

gth

Len B

3

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

3

Vol

tage

Vr3

10.6

kV(4

%D

rop)

#DIV

/0!

Rat

ed C

urre

nt=A

ALi

ne T

ype

: Rec

eive

d V

olta

ge

RT1

, RT2

, RB

1, R

B2,

RB

3

X T1,

X T2,

X B1,

X B2,

X B3

CA

PB

2, C

AP

B3

CA

P T1,

CA

PT2

, CA

PB

1: R

ecei

ved

Vol

tage

: Rec

eive

d V

olta

ge

Prim

ary

Sub

stat

ion

JICA

Stu

dy o

n "P

ower

Dis

trib

utio

n Sy

stem

MAs

ter

Plan

Stu

dy f

or Gha

na"

(2007)

Pow

er S

yste

m A

naly

sis

for S

tep

A -

Pow

er S

yste

m A

naly

sis

for e

xist

ing

syst

em u

sing

Mac

ro d

eman

d fo

reca

st -

No.

24N

o.57

No.

57

→I m

axR

T1

=.7Ω

XT1

=.6Ω

RT2

=.0Ω

XT2

=.0Ω

RB

2=.

0ΩX

B2

=.0Ω

Trun

k Li

ne 1

Trun

k Li

ne 2

Bra

nch

Line

2

RB

1=.

0ΩX

B1

=.0Ω

RB

3=.

0ΩX

B3

=.0Ω

Bra

nch

Line

1B

ranc

h Li

ne 3

No.

57N

o.57

====

=Equ

atio

n===

==V

i1 =

Vs

- 1.7

32・(R

T1co

sθ +

XT1

sinθ

)・(L

T1・f T

1 + L

T2 +

LB

1 +

L B2 +

L B3)

Vi2 =

Vi1

- 1.

732・

(RT2

cosθ

+ X

T2si

nθ)・

(LT2

・f T

2 + L

B2 +

L B3)

Vr1

= V

i1 -

1.73

2・L B

1(R

B1c

osθ

+ X

B1s

inθ

)・f B

1

Vr2

= V

i2 -

1.73

2・L B

2(R

B2c

osθ

+ X

B2s

inθ

)・f B

2

Vr3

= V

i2 -

1.73

2・L B

3(R

B3c

osθ

+ X

B3s

inθ

)・f B

3

LT1

= I

max

・C

AP

T1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LT2

= I

max

・C

AP

T2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

1 =

Im

ax・C

AP

B1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

2 =

Im

ax・C

AP

B2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

3 =

Im

ax・C

AP

B3／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

I max

= L

T1

+ L

T2

+ L

B1 +

LB

2 +

LB

3

Vs

: Sup

ply

Vol

tage

I max

: Max

imum

Cur

rent

: Res

ista

nce

Vi1

: Int

erim

Vol

tage

L T1

: Loa

d (T

runk

line

1)

: Rea

ctan

ceV

i2: I

nter

im V

olta

geL T

2: L

oad

(Tru

nk li

ne 2

)f T

1, f T

2, f B

1, f B

2, f B

3

Vr1

L B1

: Loa

d (B

ranc

h Li

ne 1

)V

r2L B

2: L

oad

(Bra

nch

Line

2)

Vr3

L B3

: Loa

d (B

ranc

h Li

ne 3

)co

sθ: P

ower

Fac

tor

: Rec

eive

d V

olta

ge

RT1

, RT2

, RB

1, R

B2,

RB

3

X T1,

X T2,

X B1,

X B2,

X B3

CA

PB

2, C

AP

B3

CA

P T1,

CA

PT2

, CA

PB

1: R

ecei

ved

Vol

tage

: Rec

eive

d V

olta

ge

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

3

Vol

tage

Vr3

10.6

kV(4

%D

rop)

#DIV

/0!

Rat

ed C

urre

nt=A

ALi

ne T

ype

Non

e

Type

of D

istri

bute

d Lo

ad

Load

LB

3

Line

Len

gth

Len B

3

Vol

tage

Vi2

10.6

kV(4

%D

rop)

Load

ing

L B3 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

L T2

(Dis

tribu

ted

Load

)

Loading

0%R

ated

Cur

rent

: Inp

ut d

ata

in c

olor

ed c

ells

=335

A

Rat

ed C

urre

nt=A

Load

LB

2A

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

2

Load

LT2

A

Line

Len

gth

Len B

1

Line

Typ

e

Type

of D

istri

bute

d Lo

ad

Line

Typ

eN

one

0.85

Line

Leg

th L

enT1

5.0k

m

(cosθ)

(4%

Dro

p)=A

Vol

tage

VS

11.0

kV

10.6

kV(4

%D

rop)

Vol

tage

Vr1

#DIV

/0!

Vol

tage

Vi1

10.6

kVR

ated

Cur

rent

150%

Load

LT1

Type

of D

istri

bute

d Lo

ad

Line

Typ

e50

1 A18

5ALX

PLE

(11k

V)

Equ

ality

Line

Leg

th L

enT2

Line

Typ

e

Loading

Load

LB

1

Sub

stat

ion

Nam

eS

TATI

ON

AFe

eder

Nam

eA

120

Load

ing

Type

-3

Cur

rent

I max

501.

0A

L B2 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

Pow

er fa

ctor

Max

imum

L T1

(Dis

tribu

ted

Load

)

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

1

4215

kVA

Vol

tage

Vr2

10.6

kV(4

%D

rop)

Load

ing

#DIV

/0!

Rat

ed C

urre

nt=A

Non

e

Type

of D

istri

bute

d Lo

ad

Line

Len

gth

Len B

1

: Tot

al T

rans

form

er C

apac

ity o

f sec

onda

ry s

ubst

atio

ns

Type

of D

istri

bute

d Lo

ad

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

2

L B1 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

AN

one

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

1

: Dis

pers

al L

oad

Fact

or

Prim

ary

Sub

stat

ion

JICA

Stu

dy o

n "P

ower

Dis

trib

utio

n Sy

stem

MAs

ter

Plan

Stu

dy f

or Gha

na"

(2008)

Pow

er S

yste

m A

naly

sis

for S

tep

A -

Pow

er S

yste

m A

naly

sis

for e

xist

ing

syst

em u

sing

Mac

ro d

eman

d fo

reca

st -

No.

24N

o.57

No.

57

→I m

axR

T1

=.7Ω

XT1

=.6Ω

RT2

=.0Ω

XT2

=.0Ω

RB

2=.

0ΩX

B2

=.0Ω

Trun

k Li

ne 1

Trun

k Li

ne 2

Bra

nch

Line

2

RB

1=.

0ΩX

B1

=.0Ω

RB

3=.

0ΩX

B3

=.0Ω

Bra

nch

Line

1B

ranc

h Li

ne 3

No.

57N

o.57

====

=Equ

atio

n===

==V

i1 =

Vs

- 1.7

32・(R

T1co

sθ +

XT1

sinθ

)・(L

T1・f T

1 + L

T2 +

LB

1 +

L B2 +

L B3)

Vi2 =

Vi1

- 1.

732・

(RT2

cosθ

+ X

T2si

nθ)・

(LT2

・f T

2 + L

B2 +

L B3)

Vr1

= V

i1 -

1.73

2・L B

1(R

B1c

osθ

+ X

B1s

inθ

)・f B

1

Vr2

= V

i2 -

1.73

2・L B

2(R

B2c

osθ

+ X

B2s

inθ

)・f B

2

Vr3

= V

i2 -

1.73

2・L B

3(R

B3c

osθ

+ X

B3s

inθ

)・f B

3

LT1

= I

max

・C

AP

T1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LT2

= I

max

・C

AP

T2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

1 =

Im

ax・C

AP

B1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

2 =

Im

ax・C

AP

B2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

3 =

Im

ax・C

AP

B3／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

I max

= L

T1

+ L

T2

+ L

B1 +

LB

2 +

LB

3

Vs

: Sup

ply

Vol

tage

I max

: Max

imum

Cur

rent

: Res

ista

nce

Vi1

: Int

erim

Vol

tage

L T1

: Loa

d (T

runk

line

1)

: Rea

ctan

ceV

i2: I

nter

im V

olta

geL T

2: L

oad

(Tru

nk li

ne 2

)f T

1, f T

2, f B

1, f B

2, f B

3

Vr1

L B1

: Loa

d (B

ranc

h Li

ne 1

)V

r2L B

2: L

oad

(Bra

nch

Line

2)

Vr3

L B3

: Loa

d (B

ranc

h Li

ne 3

)co

sθ: P

ower

Fac

tor

: Dis

pers

al L

oad

Fact

or

: Tot

al T

rans

form

er C

apac

ity o

f sec

onda

ry s

ubst

atio

ns

Type

of D

istri

bute

d Lo

ad

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

2

L B1 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

AN

one

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

1

Non

e

Type

of D

istri

bute

d Lo

ad

Line

Len

gth

Len B

1

Vol

tage

Vr2

10.6

kV(4

%D

rop)

Load

ing

#DIV

/0!

Rat

ed C

urre

nt=A

Max

imum

L T1

(Dis

tribu

ted

Load

)

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

1

4215

kVA

L B2 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

Pow

er fa

ctor

Loading

Load

LB

1

Sub

stat

ion

Nam

eS

TATI

ON

AFe

eder

Nam

eA

120

Load

ing

Type

-3

Cur

rent

I max

530.

0A

Load

LT1

Type

of D

istri

bute

d Lo

ad

Line

Typ

e53

0 A18

5ALX

PLE

(11k

V)

Equ

ality

Line

Leg

th L

enT2

Line

Typ

e

Vol

tage

Vi1

10.6

kVR

ated

Cur

rent

158%

10.6

kV(4

%D

rop)

Vol

tage

Vr1

#DIV

/0!

Line

Typ

eN

one

0.85

Line

Leg

th L

enT1

5.0k

m

(cosθ)

(4%

Dro

p)=A

Vol

tage

VS

11.0

kV

Line

Len

gth

Len B

1

Line

Typ

e

Type

of D

istri

bute

d Lo

ad

: Inp

ut d

ata

in c

olor

ed c

ells

=335

A

Rat

ed C

urre

nt=A

Load

LB

2A

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

2

Load

LT2

A

L T2

(Dis

tribu

ted

Load

)

Loading

0%R

ated

Cur

rent

Vol

tage

Vi2

10.6

kV(4

%D

rop)

Load

ing

L B3 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

Non

e

Type

of D

istri

bute

d Lo

ad

Load

LB

3

Line

Len

gth

Len B

3

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

3

Vol

tage

Vr3

10.6

kV(4

%D

rop)

#DIV

/0!

Rat

ed C

urre

nt=A

ALi

ne T

ype

: Rec

eive

d V

olta

ge

RT1

, RT2

, RB

1, R

B2,

RB

3

X T1,

X T2,

X B1,

X B2,

X B3

CA

PB

2, C

AP

B3

CA

P T1,

CA

PT2

, CA

PB

1: R

ecei

ved

Vol

tage

: Rec

eive

d V

olta

ge

Prim

ary

Sub

stat

ion

JICA

Stu

dy o

n "P

ower

Dis

trib

utio

n Sy

stem

MAs

ter

Plan

Stu

dy f

or Gha

na"

(2009)

Pow

er S

yste

m A

naly

sis

for S

tep

A -

Pow

er S

yste

m A

naly

sis

for e

xist

ing

syst

em u

sing

Mac

ro d

eman

d fo

reca

st -

No.

24N

o.57

No.

57

→I m

axR

T1

=.7Ω

XT1

=.6Ω

RT2

=.0Ω

XT2

=.0Ω

RB

2=.

0ΩX

B2

=.0Ω

Trun

k Li

ne 1

Trun

k Li

ne 2

Bra

nch

Line

2

RB

1=.

0ΩX

B1

=.0Ω

RB

3=.

0ΩX

B3

=.0Ω

Bra

nch

Line

1B

ranc

h Li

ne 3

No.

57N

o.57

====

=Equ

atio

n===

==V

i1 =

Vs

- 1.7

32・(R

T1co

sθ +

XT1

sinθ

)・(L

T1・f T

1 + L

T2 +

LB

1 +

L B2 +

L B3)

Vi2 =

Vi1

- 1.

732・

(RT2

cosθ

+ X

T2si

nθ)・

(LT2

・f T

2 + L

B2 +

L B3)

Vr1

= V

i1 -

1.73

2・L B

1(R

B1c

osθ

+ X

B1s

inθ

)・f B

1

Vr2

= V

i2 -

1.73

2・L B

2(R

B2c

osθ

+ X

B2s

inθ

)・f B

2

Vr3

= V

i2 -

1.73

2・L B

3(R

B3c

osθ

+ X

B3s

inθ

)・f B

3

LT1

= I

max

・C

AP

T1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LT2

= I

max

・C

AP

T2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

1 =

Im

ax・C

AP

B1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

2 =

Im

ax・C

AP

B2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

3 =

Im

ax・C

AP

B3／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

I max

= L

T1

+ L

T2

+ L

B1 +

LB

2 +

LB

3

Vs

: Sup

ply

Vol

tage

I max

: Max

imum

Cur

rent

: Res

ista

nce

Vi1

: Int

erim

Vol

tage

L T1

: Loa

d (T

runk

line

1)

: Rea

ctan

ceV

i2: I

nter

im V

olta

geL T

2: L

oad

(Tru

nk li

ne 2

)f T

1, f T

2, f B

1, f B

2, f B

3

Vr1

L B1

: Loa

d (B

ranc

h Li

ne 1

)V

r2L B

2: L

oad

(Bra

nch

Line

2)

Vr3

L B3

: Loa

d (B

ranc

h Li

ne 3

)co

sθ: P

ower

Fac

tor

: Rec

eive

d V

olta

ge

RT1

, RT2

, RB

1, R

B2,

RB

3

X T1,

X T2,

X B1,

X B2,

X B3

CA

PB

2, C

AP

B3

CA

P T1,

CA

PT2

, CA

PB

1: R

ecei

ved

Vol

tage

: Rec

eive

d V

olta

ge

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

3

Vol

tage

Vr3

10.5

kV(4

%D

rop)

#DIV

/0!

Rat

ed C

urre

nt=A

ALi

ne T

ype

Non

e

Type

of D

istri

bute

d Lo

ad

Load

LB

3

Line

Len

gth

Len B

3

Vol

tage

Vi2

10.5

kV(4

%D

rop)

Load

ing

L B3 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

L T2

(Dis

tribu

ted

Load

)

Loading

0%R

ated

Cur

rent

: Inp

ut d

ata

in c

olor

ed c

ells

=335

A

Rat

ed C

urre

nt=A

Load

LB

2A

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

2

Load

LT2

A

Line

Len

gth

Len B

1

Line

Typ

e

Type

of D

istri

bute

d Lo

ad

Line

Typ

eN

one

0.85

Line

Leg

th L

enT1

5.0k

m

(cosθ)

(4%

Dro

p)=A

Vol

tage

VS

11.0

kV

10.5

kV(4

%D

rop)

Vol

tage

Vr1

#DIV

/0!

Vol

tage

Vi1

10.5

kVR

ated

Cur

rent

167%

Load

LT1

Type

of D

istri

bute

d Lo

ad

Line

Typ

e56

0 A18

5ALX

PLE

(11k

V)

Equ

ality

Line

Leg

th L

enT2

Line

Typ

e

Loading

Load

LB

1

Sub

stat

ion

Nam

eS

TATI

ON

AFe

eder

Nam

eA

120

Load

ing

Type

-3

Cur

rent

I max

560.

0A

L B2 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

Pow

er fa

ctor

Max

imum

L T1

(Dis

tribu

ted

Load

)

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

1

4215

kVA

Vol

tage

Vr2

10.5

kV(4

%D

rop)

Load

ing

#DIV

/0!

Rat

ed C

urre

nt=A

Non

e

Type

of D

istri

bute

d Lo

ad

Line

Len

gth

Len B

1

: Tot

al T

rans

form

er C

apac

ity o

f sec

onda

ry s

ubst

atio

ns

Type

of D

istri

bute

d Lo

ad

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

2

L B1 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

AN

one

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

1

: Dis

pers

al L

oad

Fact

or

Prim

ary

Sub

stat

ion

JICA

Stu

dy o

n "P

ower

Dis

trib

utio

n Sy

stem

MAs

ter

Plan

Stu

dy f

or Gha

na"

(2010)

Pow

er S

yste

m A

naly

sis

for S

tep

A -

Pow

er S

yste

m A

naly

sis

for e

xist

ing

syst

em u

sing

Mac

ro d

eman

d fo

reca

st -

No.

24N

o.57

No.

57

→I m

axR

T1

=.7Ω

XT1

=.6Ω

RT2

=.0Ω

XT2

=.0Ω

RB

2=.

0ΩX

B2

=.0Ω

Trun

k Li

ne 1

Trun

k Li

ne 2

Bra

nch

Line

2

RB

1=.

0ΩX

B1

=.0Ω

RB

3=.

0ΩX

B3

=.0Ω

Bra

nch

Line

1B

ranc

h Li

ne 3

No.

57N

o.57

====

=Equ

atio

n===

==V

i1 =

Vs

- 1.7

32・(R

T1co

sθ +

XT1

sinθ

)・(L

T1・f T

1 + L

T2 +

LB

1 +

L B2 +

L B3)

Vi2 =

Vi1

- 1.

732・

(RT2

cosθ

+ X

T2si

nθ)・

(LT2

・f T

2 + L

B2 +

L B3)

Vr1

= V

i1 -

1.73

2・L B

1(R

B1c

osθ

+ X

B1s

inθ

)・f B

1

Vr2

= V

i2 -

1.73

2・L B

2(R

B2c

osθ

+ X

B2s

inθ

)・f B

2

Vr3

= V

i2 -

1.73

2・L B

3(R

B3c

osθ

+ X

B3s

inθ

)・f B

3

LT1

= I

max

・C

AP

T1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LT2

= I

max

・C

AP

T2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

1 =

Im

ax・C

AP

B1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

2 =

Im

ax・C

AP

B2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

3 =

Im

ax・C

AP

B3／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

I max

= L

T1

+ L

T2

+ L

B1 +

LB

2 +

LB

3

Vs

: Sup

ply

Vol

tage

I max

: Max

imum

Cur

rent

: Res

ista

nce

Vi1

: Int

erim

Vol

tage

L T1

: Loa

d (T

runk

line

1)

: Rea

ctan

ceV

i2: I

nter

im V

olta

geL T

2: L

oad

(Tru

nk li

ne 2

)f T

1, f T

2, f B

1, f B

2, f B

3

Vr1

L B1

: Loa

d (B

ranc

h Li

ne 1

)V

r2L B

2: L

oad

(Bra

nch

Line

2)

Vr3

L B3

: Loa

d (B

ranc

h Li

ne 3

)co

sθ: P

ower

Fac

tor

: Dis

pers

al L

oad

Fact

or

: Tot

al T

rans

form

er C

apac

ity o

f sec

onda

ry s

ubst

atio

ns

Type

of D

istri

bute

d Lo

ad

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

2

L B1 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

AN

one

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

1

Non

e

Type

of D

istri

bute

d Lo

ad

Line

Len

gth

Len B

1

Vol

tage

Vr2

10.5

kV(4

%D

rop)

Load

ing

#DIV

/0!

Rat

ed C

urre

nt=A

Max

imum

L T1

(Dis

tribu

ted

Load

)

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

1

4215

kVA

L B2 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

Pow

er fa

ctor

Loading

Load

LB

1

Sub

stat

ion

Nam

eS

TATI

ON

AFe

eder

Nam

eA

120

Load

ing

Type

-3

Cur

rent

I max

592.

0A

Load

LT1

Type

of D

istri

bute

d Lo

ad

Line

Typ

e59

2 A18

5ALX

PLE

(11k

V)

Equ

ality

Line

Leg

th L

enT2

Line

Typ

e

Vol

tage

Vi1

10.5

kVR

ated

Cur

rent

177%

10.5

kV(4

%D

rop)

Vol

tage

Vr1

#DIV

/0!

Line

Typ

eN

one

0.85

Line

Leg

th L

enT1

5.0k

m

(cosθ)

(4%

Dro

p)=A

Vol

tage

VS

11.0

kV

Line

Len

gth

Len B

1

Line

Typ

e

Type

of D

istri

bute

d Lo

ad

: Inp

ut d

ata

in c

olor

ed c

ells

=335

A

Rat

ed C

urre

nt=A

Load

LB

2A

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

2

Load

LT2

A

L T2

(Dis

tribu

ted

Load

)

Loading

0%R

ated

Cur

rent

Vol

tage

Vi2

10.5

kV(4

%D

rop)

Load

ing

L B3 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

Non

e

Type

of D

istri

bute

d Lo

ad

Load

LB

3

Line

Len

gth

Len B

3

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

3

Vol

tage

Vr3

10.5

kV(4

%D

rop)

#DIV

/0!

Rat

ed C

urre

nt=A

ALi

ne T

ype

: Rec

eive

d V

olta

ge

RT1

, RT2

, RB

1, R

B2,

RB

3

X T1,

X T2,

X B1,

X B2,

X B3

CA

PB

2, C

AP

B3

CA

P T1,

CA

PT2

, CA

PB

1: R

ecei

ved

Vol

tage

: Rec

eive

d V

olta

ge

Prim

ary

Sub

stat

ion

JICA

Stu

dy o

n "P

ower

Dis

trib

utio

n Sy

stem

MAs

ter

Plan

Stu

dy f

or Gha

na"

(2011)

Pow

er S

yste

m A

naly

sis

for S

tep

A -

Pow

er S

yste

m A

naly

sis

for e

xist

ing

syst

em u

sing

Mac

ro d

eman

d fo

reca

st -

No.

24N

o.57

No.

57

→I m

axR

T1

=.7Ω

XT1

=.6Ω

RT2

=.0Ω

XT2

=.0Ω

RB

2=.

0ΩX

B2

=.0Ω

Trun

k Li

ne 1

Trun

k Li

ne 2

Bra

nch

Line

2

RB

1=.

0ΩX

B1

=.0Ω

RB

3=.

0ΩX

B3

=.0Ω

Bra

nch

Line

1B

ranc

h Li

ne 3

No.

57N

o.57

====

=Equ

atio

n===

==V

i1 =

Vs

- 1.7

32・(R

T1co

sθ +

XT1

sinθ

)・(L

T1・f T

1 + L

T2 +

LB

1 +

L B2 +

L B3)

Vi2 =

Vi1

- 1.

732・

(RT2

cosθ

+ X

T2si

nθ)・

(LT2

・f T

2 + L

B2 +

L B3)

Vr1

= V

i1 -

1.73

2・L B

1(R

B1c

osθ

+ X

B1s

inθ

)・f B

1

Vr2

= V

i2 -

1.73

2・L B

2(R

B2c

osθ

+ X

B2s

inθ

)・f B

2

Vr3

= V

i2 -

1.73

2・L B

3(R

B3c

osθ

+ X

B3s

inθ

)・f B

3

LT1

= I

max

・C

AP

T1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LT2

= I

max

・C

AP

T2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

1 =

Im

ax・C

AP

B1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

2 =

Im

ax・C

AP

B2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

3 =

Im

ax・C

AP

B3／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

I max

= L

T1

+ L

T2

+ L

B1 +

LB

2 +

LB

3

Vs

: Sup

ply

Vol

tage

I max

: Max

imum

Cur

rent

: Res

ista

nce

Vi1

: Int

erim

Vol

tage

L T1

: Loa

d (T

runk

line

1)

: Rea

ctan

ceV

i2: I

nter

im V

olta

geL T

2: L

oad

(Tru

nk li

ne 2

)f T

1, f T

2, f B

1, f B

2, f B

3

Vr1

L B1

: Loa

d (B

ranc

h Li

ne 1

)V

r2L B

2: L

oad

(Bra

nch

Line

2)

Vr3

L B3

: Loa

d (B

ranc

h Li

ne 3

)co

sθ: P

ower

Fac

tor

: Rec

eive

d V

olta

ge

RT1

, RT2

, RB

1, R

B2,

RB

3

X T1,

X T2,

X B1,

X B2,

X B3

CA

PB

2, C

AP

B3

CA

P T1,

CA

PT2

, CA

PB

1: R

ecei

ved

Vol

tage

: Rec

eive

d V

olta

ge

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

3

Vol

tage

Vr3

10.5

kV(5

%D

rop)

#DIV

/0!

Rat

ed C

urre

nt=A

ALi

ne T

ype

Non

e

Type

of D

istri

bute

d Lo

ad

Load

LB

3

Line

Len

gth

Len B

3

Vol

tage

Vi2

10.5

kV(5

%D

rop)

Load

ing

L B3 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

L T2

(Dis

tribu

ted

Load

)

Loading

0%R

ated

Cur

rent

: Inp

ut d

ata

in c

olor

ed c

ells

=335

A

Rat

ed C

urre

nt=A

Load

LB

2A

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

2

Load

LT2

A

Line

Len

gth

Len B

1

Line

Typ

e

Type

of D

istri

bute

d Lo

ad

Line

Typ

eN

one

0.85

Line

Leg

th L

enT1

5.0k

m

(cosθ)

(5%

Dro

p)=A

Vol

tage

VS

11.0

kV

10.5

kV(5

%D

rop)

Vol

tage

Vr1

#DIV

/0!

Vol

tage

Vi1

10.5

kVR

ated

Cur

rent

187%

Load

LT1

Type

of D

istri

bute

d Lo

ad

Line

Typ

e62

6 A18

5ALX

PLE

(11k

V)

Equ

ality

Line

Leg

th L

enT2

Line

Typ

e

Loading

Load

LB

1

Sub

stat

ion

Nam

eS

TATI

ON

AFe

eder

Nam

eA

120

Load

ing

Type

-3

Cur

rent

I max

626.

0A

L B2 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

Pow

er fa

ctor

Max

imum

L T1

(Dis

tribu

ted

Load

)

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

1

4215

kVA

Vol

tage

Vr2

10.5

kV(5

%D

rop)

Load

ing

#DIV

/0!

Rat

ed C

urre

nt=A

Non

e

Type

of D

istri

bute

d Lo

ad

Line

Len

gth

Len B

1

: Tot

al T

rans

form

er C

apac

ity o

f sec

onda

ry s

ubst

atio

ns

Type

of D

istri

bute

d Lo

ad

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

2

L B1 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

AN

one

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

1

: Dis

pers

al L

oad

Fact

or

Prim

ary

Sub

stat

ion

JICA

Stu

dy o

n "P

ower

Dis

trib

utio

n Sy

stem

MAs

ter

Plan

Stu

dy f

or Gha

na"

(2012)

Pow

er S

yste

m A

naly

sis

for S

tep

A -

Pow

er S

yste

m A

naly

sis

for e

xist

ing

syst

em u

sing

Mac

ro d

eman

d fo

reca

st -

No.

24N

o.57

No.

57

→I m

axR

T1

=.7Ω

XT1

=.6Ω

RT2

=.0Ω

XT2

=.0Ω

RB

2=.

0ΩX

B2

=.0Ω

Trun

k Li

ne 1

Trun

k Li

ne 2

Bra

nch

Line

2

RB

1=.

0ΩX

B1

=.0Ω

RB

3=.

0ΩX

B3

=.0Ω

Bra

nch

Line

1B

ranc

h Li

ne 3

No.

57N

o.57

====

=Equ

atio

n===

==V

i1 =

Vs

- 1.7

32・(R

T1co

sθ +

XT1

sinθ

)・(L

T1・f T

1 + L

T2 +

LB

1 +

L B2 +

L B3)

Vi2 =

Vi1

- 1.

732・

(RT2

cosθ

+ X

T2si

nθ)・

(LT2

・f T

2 + L

B2 +

L B3)

Vr1

= V

i1 -

1.73

2・L B

1(R

B1c

osθ

+ X

B1s

inθ

)・f B

1

Vr2

= V

i2 -

1.73

2・L B

2(R

B2c

osθ

+ X

B2s

inθ

)・f B

2

Vr3

= V

i2 -

1.73

2・L B

3(R

B3c

osθ

+ X

B3s

inθ

)・f B

3

LT1

= I

max

・C

AP

T1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LT2

= I

max

・C

AP

T2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

1 =

Im

ax・C

AP

B1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

2 =

Im

ax・C

AP

B2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

3 =

Im

ax・C

AP

B3／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

I max

= L

T1

+ L

T2

+ L

B1 +

LB

2 +

LB

3

Vs

: Sup

ply

Vol

tage

I max

: Max

imum

Cur

rent

: Res

ista

nce

Vi1

: Int

erim

Vol

tage

L T1

: Loa

d (T

runk

line

1)

: Rea

ctan

ceV

i2: I

nter

im V

olta

geL T

2: L

oad

(Tru

nk li

ne 2

)f T

1, f T

2, f B

1, f B

2, f B

3

Vr1

L B1

: Loa

d (B

ranc

h Li

ne 1

)V

r2L B

2: L

oad

(Bra

nch

Line

2)

Vr3

L B3

: Loa

d (B

ranc

h Li

ne 3

)co

sθ: P

ower

Fac

tor

: Dis

pers

al L

oad

Fact

or

: Tot

al T

rans

form

er C

apac

ity o

f sec

onda

ry s

ubst

atio

ns

Type

of D

istri

bute

d Lo

ad

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

2

L B1 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

AN

one

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

1

Non

e

Type

of D

istri

bute

d Lo

ad

Line

Len

gth

Len B

1

Vol

tage

Vr2

10.4

kV(5

%D

rop)

Load

ing

#DIV

/0!

Rat

ed C

urre

nt=A

Max

imum

L T1

(Dis

tribu

ted

Load

)

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

1

4215

kVA

L B2 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

Pow

er fa

ctor

Loading

Load

LB

1

Sub

stat

ion

Nam

eS

TATI

ON

AFe

eder

Nam

eA

120

Load

ing

Type

-3

Cur

rent

I max

662.

0A

Load

LT1

Type

of D

istri

bute

d Lo

ad

Line

Typ

e66

2 A18

5ALX

PLE

(11k

V)

Equ

ality

Line

Leg

th L

enT2

Line

Typ

e

Vol

tage

Vi1

10.4

kVR

ated

Cur

rent

198%

10.4

kV(5

%D

rop)

Vol

tage

Vr1

#DIV

/0!

Line

Typ

eN

one

0.85

Line

Leg

th L

enT1

5.0k

m

(cosθ)

(5%

Dro

p)=A

Vol

tage

VS

11.0

kV

Line

Len

gth

Len B

1

Line

Typ

e

Type

of D

istri

bute

d Lo

ad

: Inp

ut d

ata

in c

olor

ed c

ells

=335

A

Rat

ed C

urre

nt=A

Load

LB

2A

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

2

Load

LT2

A

L T2

(Dis

tribu

ted

Load

)

Loading

0%R

ated

Cur

rent

Vol

tage

Vi2

10.4

kV(5

%D

rop)

Load

ing

L B3 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

Non

e

Type

of D

istri

bute

d Lo

ad

Load

LB

3

Line

Len

gth

Len B

3

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

3

Vol

tage

Vr3

10.4

kV(5

%D

rop)

#DIV

/0!

Rat

ed C

urre

nt=A

ALi

ne T

ype

: Rec

eive

d V

olta

ge

RT1

, RT2

, RB

1, R

B2,

RB

3

X T1,

X T2,

X B1,

X B2,

X B3

CA

PB

2, C

AP

B3

CA

P T1,

CA

PT2

, CA

PB

1: R

ecei

ved

Vol

tage

: Rec

eive

d V

olta

ge

Prim

ary

Sub

stat

ion

JICA

Stu

dy o

n "P

ower

Dis

trib

utio

n Sy

stem

MAs

ter

Plan

Stu

dy f

or Gha

na"

(2013)

Pow

er S

yste

m A

naly

sis

for S

tep

A -

Pow

er S

yste

m A

naly

sis

for e

xist

ing

syst

em u

sing

Mac

ro d

eman

d fo

reca

st -

No.

24N

o.57

No.

57

→I m

axR

T1

=.7Ω

XT1

=.6Ω

RT2

=.0Ω

XT2

=.0Ω

RB

2=.

0ΩX

B2

=.0Ω

Trun

k Li

ne 1

Trun

k Li

ne 2

Bra

nch

Line

2

RB

1=.

0ΩX

B1

=.0Ω

RB

3=.

0ΩX

B3

=.0Ω

Bra

nch

Line

1B

ranc

h Li

ne 3

No.

57N

o.57

====

=Equ

atio

n===

==V

i1 =

Vs

- 1.7

32・(R

T1co

sθ +

XT1

sinθ

)・(L

T1・f T

1 + L

T2 +

LB

1 +

L B2 +

L B3)

Vi2 =

Vi1

- 1.

732・

(RT2

cosθ

+ X

T2si

nθ)・

(LT2

・f T

2 + L

B2 +

L B3)

Vr1

= V

i1 -

1.73

2・L B

1(R

B1c

osθ

+ X

B1s

inθ

)・f B

1

Vr2

= V

i2 -

1.73

2・L B

2(R

B2c

osθ

+ X

B2s

inθ

)・f B

2

Vr3

= V

i2 -

1.73

2・L B

3(R

B3c

osθ

+ X

B3s

inθ

)・f B

3

LT1

= I

max

・C

AP

T1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LT2

= I

max

・C

AP

T2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

1 =

Im

ax・C

AP

B1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

2 =

Im

ax・C

AP

B2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

3 =

Im

ax・C

AP

B3／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

I max

= L

T1

+ L

T2

+ L

B1 +

LB

2 +

LB

3

Vs

: Sup

ply

Vol

tage

I max

: Max

imum

Cur

rent

: Res

ista

nce

Vi1

: Int

erim

Vol

tage

L T1

: Loa

d (T

runk

line

1)

: Rea

ctan

ceV

i2: I

nter

im V

olta

geL T

2: L

oad

(Tru

nk li

ne 2

)f T

1, f T

2, f B

1, f B

2, f B

3

Vr1

L B1

: Loa

d (B

ranc

h Li

ne 1

)V

r2L B

2: L

oad

(Bra

nch

Line

2)

Vr3

L B3

: Loa

d (B

ranc

h Li

ne 3

)co

sθ: P

ower

Fac

tor

: Rec

eive

d V

olta

ge

RT1

, RT2

, RB

1, R

B2,

RB

3

X T1,

X T2,

X B1,

X B2,

X B3

CA

PB

2, C

AP

B3

CA

P T1,

CA

PT2

, CA

PB

1: R

ecei

ved

Vol

tage

: Rec

eive

d V

olta

ge

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

3

Vol

tage

Vr3

10.4

kV(5

%D

rop)

#DIV

/0!

Rat

ed C

urre

nt=A

ALi

ne T

ype

Non

e

Type

of D

istri

bute

d Lo

ad

Load

LB

3

Line

Len

gth

Len B

3

Vol

tage

Vi2

10.4

kV(5

%D

rop)

Load

ing

L B3 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

L T2

(Dis

tribu

ted

Load

)

Loading

0%R

ated

Cur

rent

: Inp

ut d

ata

in c

olor

ed c

ells

=335

A

Rat

ed C

urre

nt=A

Load

LB

2A

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

2

Load

LT2

A

Line

Len

gth

Len B

1

Line

Typ

e

Type

of D

istri

bute

d Lo

ad

Line

Typ

eN

one

0.85

Line

Leg

th L

enT1

5.0k

m

(cosθ)

(5%

Dro

p)=A

Vol

tage

VS

11.0

kV

10.4

kV(5

%D

rop)

Vol

tage

Vr1

#DIV

/0!

Vol

tage

Vi1

10.4

kVR

ated

Cur

rent

209%

Load

LT1

Type

of D

istri

bute

d Lo

ad

Line

Typ

e70

0 A18

5ALX

PLE

(11k

V)

Equ

ality

Line

Leg

th L

enT2

Line

Typ

e

Loading

Load

LB

1

Sub

stat

ion

Nam

eS

TATI

ON

AFe

eder

Nam

eA

120

Load

ing

Type

-3

Cur

rent

I max

700.

0A

L B2 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

Pow

er fa

ctor

Max

imum

L T1

(Dis

tribu

ted

Load

)

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

1

4215

kVA

Vol

tage

Vr2

10.4

kV(5

%D

rop)

Load

ing

#DIV

/0!

Rat

ed C

urre

nt=A

Non

e

Type

of D

istri

bute

d Lo

ad

Line

Len

gth

Len B

1

: Tot

al T

rans

form

er C

apac

ity o

f sec

onda

ry s

ubst

atio

ns

Type

of D

istri

bute

d Lo

ad

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

2

L B1 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

AN

one

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

1

: Dis

pers

al L

oad

Fact

or

Prim

ary

Sub

stat

ion

JICA

Stu

dy o

n "P

ower

Dis

trib

utio

n Sy

stem

MAs

ter

Plan

Stu

dy f

or Gha

na"

(2014)

Pow

er S

yste

m A

naly

sis

for S

tep

A -

Pow

er S

yste

m A

naly

sis

for e

xist

ing

syst

em u

sing

Mac

ro d

eman

d fo

reca

st -

No.

24N

o.57

No.

57

→I m

axR

T1

=.7Ω

XT1

=.6Ω

RT2

=.0Ω

XT2

=.0Ω

RB

2=.

0ΩX

B2

=.0Ω

Trun

k Li

ne 1

Trun

k Li

ne 2

Bra

nch

Line

2

RB

1=.

0ΩX

B1

=.0Ω

RB

3=.

0ΩX

B3

=.0Ω

Bra

nch

Line

1B

ranc

h Li

ne 3

No.

57N

o.57

====

=Equ

atio

n===

==V

i1 =

Vs

- 1.7

32・(R

T1co

sθ +

XT1

sinθ

)・(L

T1・f T

1 + L

T2 +

LB

1 +

L B2 +

L B3)

Vi2 =

Vi1

- 1.

732・

(RT2

cosθ

+ X

T2si

nθ)・

(LT2

・f T

2 + L

B2 +

L B3)

Vr1

= V

i1 -

1.73

2・L B

1(R

B1c

osθ

+ X

B1s

inθ

)・f B

1

Vr2

= V

i2 -

1.73

2・L B

2(R

B2c

osθ

+ X

B2s

inθ

)・f B

2

Vr3

= V

i2 -

1.73

2・L B

3(R

B3c

osθ

+ X

B3s

inθ

)・f B

3

LT1

= I

max

・C

AP

T1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LT2

= I

max

・C

AP

T2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

1 =

Im

ax・C

AP

B1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

2 =

Im

ax・C

AP

B2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

3 =

Im

ax・C

AP

B3／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

I max

= L

T1

+ L

T2

+ L

B1 +

LB

2 +

LB

3

Vs

: Sup

ply

Vol

tage

I max

: Max

imum

Cur

rent

: Res

ista

nce

Vi1

: Int

erim

Vol

tage

L T1

: Loa

d (T

runk

line

1)

: Rea

ctan

ceV

i2: I

nter

im V

olta

geL T

2: L

oad

(Tru

nk li

ne 2

)f T

1, f T

2, f B

1, f B

2, f B

3

Vr1

L B1

: Loa

d (B

ranc

h Li

ne 1

)V

r2L B

2: L

oad

(Bra

nch

Line

2)

Vr3

L B3

: Loa

d (B

ranc

h Li

ne 3

)co

sθ: P

ower

Fac

tor

: Dis

pers

al L

oad

Fact

or

: Tot

al T

rans

form

er C

apac

ity o

f sec

onda

ry s

ubst

atio

ns

Type

of D

istri

bute

d Lo

ad

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

2

L B1 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

AN

one

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

1

Non

e

Type

of D

istri

bute

d Lo

ad

Line

Len

gth

Len B

1

Vol

tage

Vr2

10.4

kV(6

%D

rop)

Load

ing

#DIV

/0!

Rat

ed C

urre

nt=A

Max

imum

L T1

(Dis

tribu

ted

Load

)

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

1

4215

kVA

L B2 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

Pow

er fa

ctor

Loading

Load

LB

1

Sub

stat

ion

Nam

eS

TATI

ON

AFe

eder

Nam

eA

120

Load

ing

Type

-3

Cur

rent

I max

741.

0A

Load

LT1

Type

of D

istri

bute

d Lo

ad

Line

Typ

e74

1 A18

5ALX

PLE

(11k

V)

Equ

ality

Line

Leg

th L

enT2

Line

Typ

e

Vol

tage

Vi1

10.4

kVR

ated

Cur

rent

221%

10.4

kV(6

%D

rop)

Vol

tage

Vr1

#DIV

/0!

Line

Typ

eN

one

0.85

Line

Leg

th L

enT1

5.0k

m

(cosθ)

(6%

Dro

p)=A

Vol

tage

VS

11.0

kV

Line

Len

gth

Len B

1

Line

Typ

e

Type

of D

istri

bute

d Lo

ad

: Inp

ut d

ata

in c

olor

ed c

ells

=335

A

Rat

ed C

urre

nt=A

Load

LB

2A

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

2

Load

LT2

A

L T2

(Dis

tribu

ted

Load

)

Loading

0%R

ated

Cur

rent

Vol

tage

Vi2

10.4

kV(6

%D

rop)

Load

ing

L B3 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

Non

e

Type

of D

istri

bute

d Lo

ad

Load

LB

3

Line

Len

gth

Len B

3

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

3

Vol

tage

Vr3

10.4

kV(6

%D

rop)

#DIV

/0!

Rat

ed C

urre

nt=A

ALi

ne T

ype

: Rec

eive

d V

olta

ge

RT1

, RT2

, RB

1, R

B2,

RB

3

X T1,

X T2,

X B1,

X B2,

X B3

CA

PB

2, C

AP

B3

CA

P T1,

CA

PT2

, CA

PB

1: R

ecei

ved

Vol

tage

: Rec

eive

d V

olta

ge

Prim

ary

Sub

stat

ion

JICA

Stu

dy o

n "P

ower

Dis

trib

utio

n Sy

stem

MAs

ter

Plan

Stu

dy f

or Gha

na"

(2015)

Pow

er S

yste

m A

naly

sis

for S

tep

A -

Pow

er S

yste

m A

naly

sis

for e

xist

ing

syst

em u

sing

Mac

ro d

eman

d fo

reca

st -

No.

24N

o.57

No.

57

→I m

axR

T1

=.7Ω

XT1

=.6Ω

RT2

=.0Ω

XT2

=.0Ω

RB

2=.

0ΩX

B2

=.0Ω

Trun

k Li

ne 1

Trun

k Li

ne 2

Bra

nch

Line

2

RB

1=.

0ΩX

B1

=.0Ω

RB

3=.

0ΩX

B3

=.0Ω

Bra

nch

Line

1B

ranc

h Li

ne 3

No.

57N

o.57

====

=Equ

atio

n===

==V

i1 =

Vs

- 1.7

32・(R

T1co

sθ +

XT1

sinθ

)・(L

T1・f T

1 + L

T2 +

LB

1 +

L B2 +

L B3)

Vi2 =

Vi1

- 1.

732・

(RT2

cosθ

+ X

T2si

nθ)・

(LT2

・f T

2 + L

B2 +

L B3)

Vr1

= V

i1 -

1.73

2・L B

1(R

B1c

osθ

+ X

B1s

inθ

)・f B

1

Vr2

= V

i2 -

1.73

2・L B

2(R

B2c

osθ

+ X

B2s

inθ

)・f B

2

Vr3

= V

i2 -

1.73

2・L B

3(R

B3c

osθ

+ X

B3s

inθ

)・f B

3

LT1

= I

max

・C

AP

T1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LT2

= I

max

・C

AP

T2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

1 =

Im

ax・C

AP

B1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

2 =

Im

ax・C

AP

B2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

3 =

Im

ax・C

AP

B3／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

I max

= L

T1

+ L

T2

+ L

B1 +

LB

2 +

LB

3

Vs

: Sup

ply

Vol

tage

I max

: Max

imum

Cur

rent

: Res

ista

nce

Vi1

: Int

erim

Vol

tage

L T1

: Loa

d (T

runk

line

1)

: Rea

ctan

ceV

i2: I

nter

im V

olta

geL T

2: L

oad

(Tru

nk li

ne 2

)f T

1, f T

2, f B

1, f B

2, f B

3

Vr1

L B1

: Loa

d (B

ranc

h Li

ne 1

)V

r2L B

2: L

oad

(Bra

nch

Line

2)

Vr3

L B3

: Loa

d (B

ranc

h Li

ne 3

)co

sθ: P

ower

Fac

tor

: Rec

eive

d V

olta

ge

RT1

, RT2

, RB

1, R

B2,

RB

3

X T1,

X T2,

X B1,

X B2,

X B3

CA

PB

2, C

AP

B3

CA

P T1,

CA

PT2

, CA

PB

1: R

ecei

ved

Vol

tage

: Rec

eive

d V

olta

ge

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

3

Vol

tage

Vr3

10.4

kV(6

%D

rop)

#DIV

/0!

Rat

ed C

urre

nt=A

ALi

ne T

ype

Non

e

Type

of D

istri

bute

d Lo

ad

Load

LB

3

Line

Len

gth

Len B

3

Vol

tage

Vi2

10.4

kV(6

%D

rop)

Load

ing

L B3 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

L T2

(Dis

tribu

ted

Load

)

Loading

0%R

ated

Cur

rent

: Inp

ut d

ata

in c

olor

ed c

ells

=335

A

Rat

ed C

urre

nt=A

Load

LB

2A

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

2

Load

LT2

A

Line

Len

gth

Len B

1

Line

Typ

e

Type

of D

istri

bute

d Lo

ad

Line

Typ

eN

one

0.85

Line

Leg

th L

enT1

5.0k

m

(cosθ)

(6%

Dro

p)=A

Vol

tage

VS

11.0

kV

10.4

kV(6

%D

rop)

Vol

tage

Vr1

#DIV

/0!

Vol

tage

Vi1

10.4

kVR

ated

Cur

rent

228%

Load

LT1

Type

of D

istri

bute

d Lo

ad

Line

Typ

e76

3 A18

5ALX

PLE

(11k

V)

Equ

ality

Line

Leg

th L

enT2

Line

Typ

e

Loading

Load

LB

1

Sub

stat

ion

Nam

eS

TATI

ON

AFe

eder

Nam

eA

120

Load

ing

Type

-3

Cur

rent

I max

763.

0A

L B2 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

Pow

er fa

ctor

Max

imum

L T1

(Dis

tribu

ted

Load

)

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

1

4215

kVA

Vol

tage

Vr2

10.4

kV(6

%D

rop)

Load

ing

#DIV

/0!

Rat

ed C

urre

nt=A

Non

e

Type

of D

istri

bute

d Lo

ad

Line

Len

gth

Len B

1

: Tot

al T

rans

form

er C

apac

ity o

f sec

onda

ry s

ubst

atio

ns

Type

of D

istri

bute

d Lo

ad

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

2

L B1 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

AN

one

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

1

: Dis

pers

al L

oad

Fact

or

Prim

ary

Sub

stat

ion

JICA

Stu

dy o

n "P

ower

Dis

trib

utio

n Sy

stem

MAs

ter

Plan

Stu

dy f

or Gha

na"

(2016)

Pow

er S

yste

m A

naly

sis

for S

tep

A -

Pow

er S

yste

m A

naly

sis

for e

xist

ing

syst

em u

sing

Mac

ro d

eman

d fo

reca

st -

No.

24N

o.57

No.

57

→I m

axR

T1

=.7Ω

XT1

=.6Ω

RT2

=.0Ω

XT2

=.0Ω

RB

2=.

0ΩX

B2

=.0Ω

Trun

k Li

ne 1

Trun

k Li

ne 2

Bra

nch

Line

2

RB

1=.

0ΩX

B1

=.0Ω

RB

3=.

0ΩX

B3

=.0Ω

Bra

nch

Line

1B

ranc

h Li

ne 3

No.

57N

o.57

====

=Equ

atio

n===

==V

i1 =

Vs

- 1.7

32・(R

T1co

sθ +

XT1

sinθ

)・(L

T1・f T

1 + L

T2 +

LB

1 +

L B2 +

L B3)

Vi2 =

Vi1

- 1.

732・

(RT2

cosθ

+ X

T2si

nθ)・

(LT2

・f T

2 + L

B2 +

L B3)

Vr1

= V

i1 -

1.73

2・L B

1(R

B1c

osθ

+ X

B1s

inθ

)・f B

1

Vr2

= V

i2 -

1.73

2・L B

2(R

B2c

osθ

+ X

B2s

inθ

)・f B

2

Vr3

= V

i2 -

1.73

2・L B

3(R

B3c

osθ

+ X

B3s

inθ

)・f B

3

LT1

= I

max

・C

AP

T1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LT2

= I

max

・C

AP

T2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

1 =

Im

ax・C

AP

B1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

2 =

Im

ax・C

AP

B2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

3 =

Im

ax・C

AP

B3／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

I max

= L

T1

+ L

T2

+ L

B1 +

LB

2 +

LB

3

Vs

: Sup

ply

Vol

tage

I max

: Max

imum

Cur

rent

: Res

ista

nce

Vi1

: Int

erim

Vol

tage

L T1

: Loa

d (T

runk

line

1)

: Rea

ctan

ceV

i2: I

nter

im V

olta

geL T

2: L

oad

(Tru

nk li

ne 2

)f T

1, f T

2, f B

1, f B

2, f B

3

Vr1

L B1

: Loa

d (B

ranc

h Li

ne 1

)V

r2L B

2: L

oad

(Bra

nch

Line

2)

Vr3

L B3

: Loa

d (B

ranc

h Li

ne 3

)co

sθ: P

ower

Fac

tor

: Dis

pers

al L

oad

Fact

or

: Tot

al T

rans

form

er C

apac

ity o

f sec

onda

ry s

ubst

atio

ns

Type

of D

istri

bute

d Lo

ad

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

2

L B1 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

AN

one

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

1

Non

e

Type

of D

istri

bute

d Lo

ad

Line

Len

gth

Len B

1

Vol

tage

Vr2

10.3

kV(6

%D

rop)

Load

ing

#DIV

/0!

Rat

ed C

urre

nt=A

Max

imum

L T1

(Dis

tribu

ted

Load

)

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP T

1

4215

kVA

L B2 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

Pow

er fa

ctor

Loading

Load

LB

1

Sub

stat

ion

Nam

eS

TATI

ON

AFe

eder

Nam

eA

120

Load

ing

Type

-3

Cur

rent

I max

828.

0A

Load

LT1

Type

of D

istri

bute

d Lo

ad

Line

Typ

e82

8 A18

5ALX

PLE

(11k

V)

Equ

ality

Line

Leg

th L

enT2

Line

Typ

e

Vol

tage

Vi1

10.3

kVR

ated

Cur

rent

247%

10.3

kV(6

%D

rop)

Vol

tage

Vr1

#DIV

/0!

Line

Typ

eN

one

0.85

Line

Leg

th L

enT1

5.0k

m

(cosθ)

(6%

Dro

p)=A

Vol

tage

VS

11.0

kV

Line

Len

gth

Len B

1

Line

Typ

e

Type

of D

istri

bute

d Lo

ad

: Inp

ut d

ata

in c

olor

ed c

ells

=335

A

Rat

ed C

urre

nt=A

Load

LB

2A

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

2

Load

LT2

A

L T2

(Dis

tribu

ted

Load

)

Loading

0%R

ated

Cur

rent

Vol

tage

Vi2

10.3

kV(6

%D

rop)

Load

ing

L B3 (D

istri

bute

d or

Con

cent

rate

d Lo

ad)

Non

e

Type

of D

istri

bute

d Lo

ad

Load

LB

3

Line

Len

gth

Len B

3

Tota

l Tra

nsfo

rmer

Cap

acity

of s

econ

dary

subs

tatio

ns C

AP B

3

Vol

tage

Vr3

10.3

kV(6

%D

rop)

#DIV

/0!

Rat

ed C

urre

nt=A

ALi

ne T

ype

: Rec

eive

d V

olta

ge

RT1

, RT2

, RB

1, R

B2,

RB

3

X T1,

X T2,

X B1,

X B2,

X B3

CA

PB

2, C

AP

B3

CA

P T1,

CA

PT2

, CA

PB

1: R

ecei

ved

Vol

tage

: Rec

eive

d V

olta

ge

Prim

ary

Sub

stat

ion

JICA

Stu

dy o

n "P

ower

Dis

trib

utio

n Sy

stem

MAs

ter

Plan

Stu

dy f

or Gha

na"

(2017)

Pow

er S

yste

m A

naly

sis

for S

tep

A -

Pow

er S

yste

m A

naly

sis

for e

xist

ing

syst

em u

sing

Mac

ro d

eman

d fo

reca

st -

No.

24N

o.57

No.

57

→I m

axR

T1

=.7Ω

XT1

=.6Ω

RT2

=.0Ω

XT2

=.0Ω

RB

2=.

0ΩX

B2

=.0Ω

Trun

k Li

ne 1

Trun

k Li

ne 2

Bra

nch

Line

2

RB

1=.

0ΩX

B1

=.0Ω

RB

3=.

0ΩX

B3

=.0Ω

Bra

nch

Line

1B

ranc

h Li

ne 3

No.

57N

o.57

====

=Equ

atio

n===

==V

i1 =

Vs

- 1.7

32・(R

T1co

sθ +

XT1

sinθ

)・(L

T1・f T

1 + L

T2 +

LB

1 +

L B2 +

L B3)

Vi2 =

Vi1

- 1.

732・

(RT2

cosθ

+ X

T2si

nθ)・

(LT2

・f T

2 + L

B2 +

L B3)

Vr1

= V

i1 -

1.73

2・L B

1(R

B1c

osθ

+ X

B1s

inθ

)・f B

1

Vr2

= V

i2 -

1.73

2・L B

2(R

B2c

osθ

+ X

B2s

inθ

)・f B

2

Vr3

= V

i2 -

1.73

2・L B

3(R

B3c

osθ

+ X

B3s

inθ

)・f B

3

LT1

= I

max

・C

AP

T1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LT2

= I

max

・C

AP

T2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

1 =

Im

ax・C

AP

B1／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

2 =

Im

ax・C

AP

B2／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

LB

3 =

Im

ax・C

AP

B3／

(CA

PT1+

CA

PT2+

CA

PB

1+C

AP

B2+C

AP

B3)

I max

= L

T1

+ L

T2

+ L

B1 +

LB

2 +

LB

3

Vs

: Sup

ply

Vol

tage

I max

: Max

imum

Cur

rent

: Res

ista

nce

Vi1

: Int

erim

Vol

tage

L T1

: Loa

d (T

runk

line

1)

: Rea

ctan

ceV

i2: I

nter

im V

olta

geL T

2: L

oad

(Tru

nk li

ne 2

)f T

1, f T

2, f B

1, f B

2, f B

3

Vr1

L B1

: Loa

d (B

ranc

h Li

ne 1

)V

r2L B

2: L

oad

(Bra

nch

Line

2)

Vr3

L B3

: Loa

d (B

ranc

h Li

ne 3

)co

sθ: P

ower

Fac

tor

: Rec

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