Transformer Equivalent Circuit Parameters Calculation, Assignments of Electrical and Electronics Engineering

The calculations for determining the equivalent circuit parameters of a transformer, including open circuit power (poc), open circuit current (ioc), short circuit power (psc), short circuit voltage (vsc), and other related parameters. The document also includes the rated current (isc) and voltage (voc) for the transformer.

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Uploaded on 08/19/2009

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Ioc 2.691 A=Ioc
Voc
RSE
a2
jX
SE
a2
+1
1
RC
1
jX
M
+
+
:=
turns ratio
a10:=
These, of course, are estimates. A more accurate result:
Psc 3.26 103
×W=Psc Isc
()
2RSE
:=
And the short circuit power:
Vsc 3.406 103
×V=Vsc Isc RSE jX
SE
+
()
:=
And the short circuit voltage:
Poc 720W=Poc
Voc
()
2
RC
:=
Then the open circuit power:
Ioc 3.1 A=Ioc Voc
1
RC
j1
XM
:=
Now calculate the other parameters. First, the open circuit current:
Rated current on the high voltage (low current)
side of the transformer
Isc 2.083 A=Isc
50 kVA
24 kV
:=
Rated voltage on the low voltage side
Voc 240 V:=
j1:=
Estimate what the values of the open circuit test data and the short circuit test data should be.
Use rated low-side voltage on the open circuit test and rated high-side current on the short circuit
testl
XM307 ohm:=RC80 ohm:=XSE 1452 ohm:=RSE 751ohm:=
A transformer rated at 50kVA with rated voltages of 24kV : 240V has the following equivalent
circuit parameters:
pf3

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I

oc

I =2.691 A

oc

V

oc

R

SE

a

2

j X SE

a

2

R

C

j X M

a := 10 turns ratio

These, of course, are estimates. A more accurate result:

P

sc

3 P = × W sc

I

sc

2 R SE

And the short circuit power:

V

sc

3 V = × V sc

I

sc

R

SE

j X SE

And the short circuit voltage:

P

oc

P =720 W

oc

V

( oc)

2

R

C

Then the open circuit power:

I

oc

I =3.1 A

oc

V

oc

R

C

j

X

M

Now calculate the other parameters. First, the open circuit current:

Rated current on the high voltage (low current)

side of the transformer

I

sc

I =2.083 A

sc

50 kV⋅ ⋅A

24 kV⋅

V^ Rated voltage on the low voltage side oc

:=240 V⋅

j := − 1

Estimate what the values of the open circuit test data and the short circuit test data should be.

Use rated low-side voltage on the open circuit test and rated high-side current on the short circuit

testl

X

M

R :=307 ohm⋅ C

X :=80 ohm⋅ SE

R :=1452 ohm⋅ SE

:=751ohm

A transformer rated at 50kVA with rated voltages of 24kV : 240V has the following equivalent

circuit parameters:

P

oc

I

( oc)

2 Re

R

C

j X M

:= ⋅ P

oc

=542.605 W

V

sc

I

sc

R

SE

j X SE

:= ⋅ V

sc

3 = × V

P

sc

I

( sc)

2 R SE

:= ⋅ P

sc

3 = × W