Three of a 15 kVA, 2200:220 V, 50 Hz transformer are connected in ∆-∆ to supply at 220 Voltsline-to-line a three-phase induction motor load of 20 kVA. The power factor of the induction motor is0.85. The load is connected to the transformers by means of a common three-phase feeder whoseimpedance is 0,03+j0,06 Ω/phase. The transformers themselves are supplied from a constant-potentialsource by means of a three-phase feeder whose impedance is 2,5+j6,0 Ω/phase. The equivalentimpedance ((R''1+R2)+j(X''ℓ1+Xℓ2)) of one transformer referred to the low-potential side (secondary) is0,4+j0,5 Ω/phase. The magnetizing inductance and the resistance representing the core loss areneglected. 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 Voltsline-to-line a three-phase induction motor load of 20 kVA. The power factor of the induction motor is0.85. The load is connected to the transformers by means of a common three-phase feeder whoseimpedance is 0,03+j0,06 Q/phase. The transformers themselves are supplied from a constant-potentialsource by means of a three-phase feeder whose impedance is 2,5+j6,0 Q/phase. The equivalentimpedance (R"1+R2)+j(X"1+X{2)) of one transformer referred to the low-potential side (secondary) is0,4+j0,5 O/phase. The magnetizing inductance and the resistance representing the core loss areneglected. Calculate the required source line voltage (Vs) if the load line voltage is 220 Volts.Hint: Zy = (1/3)ZA0,03+j0,06 22,5+j60(Vs=?A-A1220 v7 InductionMotorSourceTranstormer20 kVAPF=0,850,4+j0,5 2

lets analyze the system on per phase basis:- hence per phase circuit of the system…

Answered: Three of a 15 kVA, 2200:220 V, 50 Hz…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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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

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