An ideal transformer with N 1 = 1000 and N 2 = 250 is connected with an impedance Z 22 across winding 2. If V 1 = 1000 ∠ 0 ° V and I 1 = 5 ∠ − 30 ° A, determine V 2 , I 2 , Z 2 , and the impedance Z 2 ' , which is the value of Z 2 referred to the primary side of the transformer.
An ideal transformer with N 1 = 1000 and N 2 = 250 is connected with an impedance Z 22 across winding 2. If V 1 = 1000 ∠ 0 ° V and I 1 = 5 ∠ − 30 ° A, determine V 2 , I 2 , Z 2 , and the impedance Z 2 ' , which is the value of Z 2 referred to the primary side of the transformer.
Solution Summary: The author calculates the value of lV_2 for a conventional two-winding single-phase transformer.
An ideal transformer with
N
1
=
1000
and
N
2
=
250
is connected with an impedance
Z
22
across winding 2. If
V
1
=
1000
∠
0
°
V
and
I
1
=
5
∠
−
30
°
A, determine
V
2
,
I
2
,
Z
2
,
and the impedance
Z
2
'
, which is the value of
Z
2
referred to the primary side of the transformer.
Assignment 2
A 60-Hz 20-kVA 2400/240-V-rms transformer has the following equivalent-circuit parameters:
Primary resistance
Secondary resistance
Primary leakage reactance (X1)
Secondary leakage reactance (X2) X2=»L2
Magnetizing reactance
Core-loss resistance
R1
R2
0.03Ω
XI=»L1
6.52
0.072
Xm=oLm
15k2
Rc
100k2
Find the percentage regulation and power efficiency for the transformer for a rated load having a
lagging power factor of 0.8. (Use the approximate equivalent circuit)
A 5KVA, 240/120 V single phase transformer has the following parameters:
R1 = 0.06 Q
R2 = 0.015 Q
X1 = 0.18 Q
X2 = 0.045 Q
Rc =2000 0
Xm = 400 0
Transformer secondary winding feeds an inductive load of 5KVA power factor
0.9 at 120V rated voltage. Using the simplest equivalent circuit given in the
figure, find the primary voltage, primary current and apparent power factor
of the transformer. What is the efficiency of the transformer?
X,+X2
V1=.
V
u
l1 =
A
V,
V2
cose =
n =
%
uuw
mm
A 5KVA, 240/120 V single phase transformer has the following parameters:
R1 = 0.06 Q
R2 = 0.015 Q
X1 = 0.18 Q
X2 = 0.045 Q
Rc =2000 0
Xm = 400 Q
Transformer secondary winding feeds an inductive load of 5KVA power
factor 0.9 at 120V rated voltage. Using the simplified equivalent circuit
given in the figure, find the primary voltage, primary current and apparent
power factor of the transformer. What is the efficiency of the transformer?
i;=i2
R,+R2
X,+X2
V1=
V
l1 =
A
V,
V2
V2
cose =
n =
%
a
Chapter 3 Solutions
Power System Analysis and Design (MindTap Course List)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.