(a) An ideal single-phase two-winding transformer with turns ratio a t = N 1 / N 2 is connected with a series impedance Z 2 across winding 2. If one wants to replace Z 2 , with a series impedance Z 1 across winding 1 and keep the terminal behavior of the two circuits to be identical, find Z 1 in terms of Z 2 . (b) Would the above result be true if instead of a series impedance there is a shunt impedance? (c) Can one refer a ladder network on the secondary (2) side to the primary (1) side simply by multiplying every impedance by a t 2 ?
(a) An ideal single-phase two-winding transformer with turns ratio a t = N 1 / N 2 is connected with a series impedance Z 2 across winding 2. If one wants to replace Z 2 , with a series impedance Z 1 across winding 1 and keep the terminal behavior of the two circuits to be identical, find Z 1 in terms of Z 2 . (b) Would the above result be true if instead of a series impedance there is a shunt impedance? (c) Can one refer a ladder network on the secondary (2) side to the primary (1) side simply by multiplying every impedance by a t 2 ?
Solution Summary: The author calculates the voltage and current for a conventional two-winding single-phase transformer.
(a) An ideal single-phase two-winding transformer with turns ratio
a
t
=
N
1
/
N
2
is connected with a series impedance
Z
2
across winding 2. If one wants to replace
Z
2
, with a series impedance
Z
1
across winding 1 and keep the terminal behavior of the two circuits to be identical, find
Z
1
in terms of
Z
2
.
(b) Would the above result be true if instead of a series impedance there is a shunt impedance?
(c) Can one refer a ladder network on the secondary (2) side to the primary (1) side simply by multiplying every impedance
by
a
t
2
The resistance and reactance of the primary winding of a 440/110 V single phase transformer are 4.4 ohm and 8 ohm respectively. The resistance and reactance of the secondary winding are 1.6 ohm and 2ohm respectively. Then find the equivalent resistance, reactance and impedance referred to the primary side.
D = 0.9 1.5° and B = 150 65° has at the load end a
The load voltage and current are V₁ and I₁
A' B' VL
B][Y
and evaluate these constants.
C' D' IL
A long line with A
transformer having series impedance Zr
Obtain expression for Vs and Is in the form
10067°.
[$]-[
=
ََQ/ 400/200 V, single-phase transformer is supplying a load of 50A at a power factor of 0.866 lagging. The no-load current is 2A at 0.208 p.f. lagging. ..
Find
The primary current is ...... A *
The primary power factor is ........ lagging *
Chapter 3 Solutions
Power System Analysis and Design (MindTap Course List)
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