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Three of a 15 kVA, 2200:220 V, 50 Hz transformer are connected in ∆-∆ to supply at 220 Volts line-to-line a three-phase induction motor load of 20 kVA. The power factor of the induction motor is 0.85. The load is connected to the transformers by means of a common three-phase feeder whose impedance is 0,03+j0,06 Ω/phase. The transformers themselves are supplied from a constant-potential source by means of a three-phase feeder whose impedance is 2,5+j6,0 Ω/phase. The equivalent impedance ((R''1+R2)+j(X''ℓ1+Xℓ2)) of one transformer referred to the low-potential side (secondary) is 0,4+j0,5 Ω/phase. The magnetizing inductance and the resistance representing the core loss are neglected. Calculate the required source line voltage (Vs) if the load line voltage is 220 Volts. Hint: ZY = (1/3)Z∆

Three of a 15 kVA, 2200:220 V, 50 Hz transformer are connected in ∆-∆ to supply at 220 Volts line-to-line a three-phase induction motor load of 20 kVA. The power factor of the induction motor is 0.85. The load is connected to the transformers by means of a common three-phase feeder whose impedance is 0,03+j0,06 Ω/phase. The transformers themselves are supplied from a constant-potential source by means of a three-phase feeder whose impedance is 2,5+j6,0 Ω/phase. The equivalent impedance ((R''1+R2)+j(X''ℓ1+Xℓ2)) of one transformer referred to the low-potential side (secondary) is 0,4+j0,5 Ω/phase. The magnetizing inductance and the resistance representing the core loss are neglected. Calculate the required source line voltage (Vs) if the load line voltage is 220 Volts. Hint: ZY = (1/3)Z∆

Power System Analysis and Design (MindTap Course List)
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.31P
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Three of a 15 kVA, 2200:220 V, 50 Hz transformer are connected in ∆-∆ to supply at 220 Volts
line-to-line a three-phase induction motor load of 20 kVA. The power factor of the induction motor is
0.85. The load is connected to the transformers by means of a common three-phase feeder whose
impedance is 0,03+j0,06 Ω/phase. The transformers themselves are supplied from a constant-potential
source by means of a three-phase feeder whose impedance is 2,5+j6,0 Ω/phase. The equivalent
impedance ((R''1+R2)+j(X''ℓ1+Xℓ2)) of one transformer referred to the low-potential side (secondary) is
0,4+j0,5 Ω/phase. The magnetizing inductance and the resistance representing the core loss are
neglected. Calculate the required source line voltage (Vs) if the load line voltage is 220 Volts.
Hint: ZY = (1/3)Z∆

Three of a 15 kVA, 2200:220 V, 50 Hz transformer are connected in A-A to supply at 220 Volts line-to-line a three-phase induction motor load of 20 kVA. The power factor of the induction motor is 0.85. The load is connected to the transformers by means of a common three-phase feeder whose impedance is 0,03+j0,06 Q/phase. The transformers themselves are supplied from a constant-potential source by means of a three-phase feeder whose impedance is 2,5+j6,0 Q/phase. The equivalent impedance (R"1+R2)+j(X"1+X{2)) of one transformer referred to the low-potential side (secondary) is 0,4+j0,5 O/phase. The magnetizing inductance and the resistance representing the core loss are neglected. Calculate the required source line voltage (Vs) if the load line voltage is 220 Volts. Hint: Zy = (1/3)ZA 0,03+j0,06 2 2,5+j60 (Vs=? A-A 1220 v7 Induction Motor Source Transtormer 20 kVA PF=0,85 0,4+j0,5 2
Transcribed Image Text:Three of a 15 kVA, 2200:220 V, 50 Hz transformer are connected in A-A to supply at 220 Volts line-to-line a three-phase induction motor load of 20 kVA. The power factor of the induction motor is 0.85. The load is connected to the transformers by means of a common three-phase feeder whose impedance is 0,03+j0,06 Q/phase. The transformers themselves are supplied from a constant-potential source by means of a three-phase feeder whose impedance is 2,5+j6,0 Q/phase. The equivalent impedance (R"1+R2)+j(X"1+X{2)) of one transformer referred to the low-potential side (secondary) is 0,4+j0,5 O/phase. The magnetizing inductance and the resistance representing the core loss are neglected. Calculate the required source line voltage (Vs) if the load line voltage is 220 Volts. Hint: Zy = (1/3)ZA 0,03+j0,06 2 2,5+j60 (Vs=? A-A 1220 v7 Induction Motor Source Transtormer 20 kVA PF=0,85 0,4+j0,5 2
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