3.4 A single-phase 100-kVA, 2400/240-volt, 60-Hz distribution transformer is used as a step-down transformer. The load, which is connected to the 240-volt secondary winding, absorbs 60 kVA at 0.8 power factor lagging and is at 230 volts. Assuming an ideal transformer, calculate the follow- ing: (a) primary voltage, (b) load impedance, (c) load impedance referred to the primary, and (d) the real and reactive power supplied to the pri- mary winding.

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3.4 A single-phase 100-kVA, 2400/240-volt, 60-Hz distribution transformer
is used as a step-down transformer. The load, which is connected to the
240-volt secondary winding, absorbs 60 kVA at 0.8 power factor lagging
and is at 230 volts. Assuming an ideal transformer, calculate the follow-
ing: (a) primary voltage, (b) load impedance, (c) load impedance referred
to the primary, and (d) the real and reactive power supplied to the pri-
mary winding.
3.12 The following data are obtained when open-circuit and short-circuit tests
are performed on a single-phase, 50-k VA, 2400/240-volt, 60-Hz distribu-
tion transformer.
VOLTAGE
CURRENT
POWER
(volts)
(amperes)
(watts)
Measurements on low-voltage side
with high-voltage winding open
Measurements on high-voltage side
with low-voltage winding shorted
240
4.85
173
52.0
20.8
650
(a) Neglecting the series impedance, determine the exciting admittance
referred to the high-voltage side. (b) Neglecting the exciting admittance,
determine the equivalent series impedance referred to the high-voltage
side. (c) Assuming equal series impedances for the primary and referred
secondary, obtain an equivalent T-circuit referred to the high-voltage side.
3.16 A single-phase, 50-kVA, 2400/240-V, 60-Hz distribution transformer has
the following parameters:
Resistance of the 2400-V winding: R, = 0.75 N
Resistance of the 240-V winding: R, = 0.0075 N
Leakage reactance of the 2400-V winding: X, = 1.0 0
Leakage reactance of the 240-V winding: X, = 0.01 N
Exciting admittance on the 240-V side = 0.003 – j0.02 S
(a) Draw the equivalent circuit referred to the high-voltage side of the
transformer.
(b) Draw the equivalent circuit referred to the low-voltage side of the
transformer. Show the numerical values of impedances on the equiv-
alent circuits.
Transcribed Image Text:3.4 A single-phase 100-kVA, 2400/240-volt, 60-Hz distribution transformer is used as a step-down transformer. The load, which is connected to the 240-volt secondary winding, absorbs 60 kVA at 0.8 power factor lagging and is at 230 volts. Assuming an ideal transformer, calculate the follow- ing: (a) primary voltage, (b) load impedance, (c) load impedance referred to the primary, and (d) the real and reactive power supplied to the pri- mary winding. 3.12 The following data are obtained when open-circuit and short-circuit tests are performed on a single-phase, 50-k VA, 2400/240-volt, 60-Hz distribu- tion transformer. VOLTAGE CURRENT POWER (volts) (amperes) (watts) Measurements on low-voltage side with high-voltage winding open Measurements on high-voltage side with low-voltage winding shorted 240 4.85 173 52.0 20.8 650 (a) Neglecting the series impedance, determine the exciting admittance referred to the high-voltage side. (b) Neglecting the exciting admittance, determine the equivalent series impedance referred to the high-voltage side. (c) Assuming equal series impedances for the primary and referred secondary, obtain an equivalent T-circuit referred to the high-voltage side. 3.16 A single-phase, 50-kVA, 2400/240-V, 60-Hz distribution transformer has the following parameters: Resistance of the 2400-V winding: R, = 0.75 N Resistance of the 240-V winding: R, = 0.0075 N Leakage reactance of the 2400-V winding: X, = 1.0 0 Leakage reactance of the 240-V winding: X, = 0.01 N Exciting admittance on the 240-V side = 0.003 – j0.02 S (a) Draw the equivalent circuit referred to the high-voltage side of the transformer. (b) Draw the equivalent circuit referred to the low-voltage side of the transformer. Show the numerical values of impedances on the equiv- alent circuits.
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