A three-phase generator connected in a star generates a phase voltage of Vθ = 24 KVrms and supplies a three-phase transformer connected in star. The transformation ratio is 115: 1. Each of the three c...
A three-phase generator connected in a star generates a phase
voltage of Vθ = 24 KVrms and supplies a
three-phase transformer connected in star. The transformation ratio
is 115: 1. Each of the
three coils of the secondary transformer feed 3 equal charges each
composed of
them by R = 18Ω, XC = 2Ω and XL = 20Ω.
a) Calculate the phase, line and charge currents after the
b) Calculate the phase, line and load voltages
c) Calculate the Apparent (S), Real (P) and Reactive (Q) powers
delivered by the transformer to the load
d) Calculate the power factor in each load and the power factor of
the entire system
e) Draw the phasor diagram that shows the "power triangle" of the
entire system
Homework Answers
The solution for question a,b,c,d has been solved here. All the values in this solution are RMS values of corresponding variables.
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A three-phase generator connected in a star generates a phase voltage of Vθ = 24 KVrms and supplies a three-phase transformer connected in star. The transformation ratio is 115: 1. Each of the three c...
A three-phase generator connected in a star generates a phase voltage of Vθ = 2500 Vrms...
A three-phase generator connected in a star generates a phase voltage of Vθ = 2500 Vrms and supplies a delta-connected three-phase load. The three phases of the generator feed 3 equal charges each composed of R = 10 Ω, XC = 4Ω and XL = 10Ω. a) Calculate the phase, line and load currents b) Calculate the phase, line and load voltages c) Calculate the powers of Apparent (S), Real (P) and Reactive (Q) delivered by the generator d) Calculate...
A three-phase generator connected in star generates a phase voltage of Vθ = 220 Vrms and supplies a three-phase load also connected in star. The three phases of the generator are connected to the thre...
A three-phase generator connected in star generates a phase
voltage of Vθ = 220 Vrms and supplies a three-phase load also
connected in star. The three phases of the generator are connected
to the three loads shown Remember that the return of the current of
each charge is through the Neutral.
a) Calculate the phase, line, load and neutral currents
b) Calculate the phase, line and load voltages
c) Calculate the powers of Apparent (S), Real (P) and Reactive (Q)...
b) The load connected to a three-phase supply comprises three similar coils connected in star. If...
b) The load connected to a three-phase supply comprises three similar coils connected in star. If the phase currents are 10A and the total active power and power factor absorb by the loads are 3kW and 0.8 lagging, respectively. Find: i. The magnitude of phase and line voltages (4 marks) ii. Total apparent power (1 mark) iii. The impedance of each coil. (2 marks) c) If the coil in Q3(b) are now connected in delta to the same three-phase supply,...
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Q3 (3 marks) (4 marks) Two wattmeters are connected in the a and b phases, with the ends of the voltage coils connected in the c phase, of a balanced three phase star- connected lagging load. Draw a circuit diagram showing the three phases, the wattmeters and the load. Draw a phasor diagram of the phase voltages and currents, the voltages across the wattmeter voltage coils, and the angles between the wattmeter voltages and currents. Show that the sum of...
Question 2: Three phase circuit. (100p) A wye connected generator supplies a delta connected balanced load...
Question 2: Three phase circuit. (100p) A wye connected generator supplies a delta connected balanced load through short feeder. seree the load line to neutral voltage as reference voltage phase angle zero. 02.1 Q2.2 Q2.3 Q2.4 Draw the equivalent circuit. 10p Calculate the load line-to-neutral voltages and line-to-line voltages. 20p Calculate the delta load currents and feeder currents. 20p Calculate the supply wye connected generator line-to-neutral voltages. Is the obtained values are acceptable? Calculate the generator real and reactive power...
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5 Three inductive coils each of inductance 45mH are connected in star to a 3 phase...
5 Three inductive coils each of inductance 45mH are connected in star to a 3 phase 400V, 50 Hz supply. Calculate the inductance of each coil, which when connected in delta to take the same supply voltage and line current, also find the power delivered at unity power factor for both star and delta connected load. (6 Marks)
ELE2601/101/3/2019 QUESTION 4 A 400 V three-phase, 50 Hz system, ABC sequence supplies the following loads: A star-connected load with the following phase impedances: A delta-connected load of eq...
ELE2601/101/3/2019 QUESTION 4 A 400 V three-phase, 50 Hz system, ABC sequence supplies the following loads: A star-connected load with the following phase impedances: A delta-connected load of equal phase impedances: Use VAB as reference and determine the following quantities: 4.1 The magnitude and angle of the currents drawn by the star-connected load (IAN; lBN; ICN). 4.1.1 The magnitude and angle of the phase (IAB; lBc; ICa) and line (lA; ls; Ic) currents drawn by the delta-connected load. 4.1.2 (12)...
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1. In order to meet an emergency, three single-phase transformers with 12.470/7.200 V are connected in...
1. In order to meet an emergency, three single-phase transformers with 12.470/7.200 V are connected in Delta-Wye to form a three-phase transformer which is fed by a 12.470 V transmission line. If the transformer supplies 60 MVA to a load, calculate: (3 marks) a. The turns ratio for each transformer b. The currents in the primary and secondary windings of the transformer c. The primary and secondary transmission line currents 2. A Wye-Delta transformer is connected to a 66 kV...
A three-phase generator connected in star generates a phase
voltage of Vθ = 220 Vrms and supplies a three-phase load also
connected in star. The three phases of the generator are connected
to the three loads shown Remember that the return of the current of
each charge is through the Neutral.
a) Calculate the phase, line, load and neutral currents
b) Calculate the phase, line and load voltages
c) Calculate the powers of Apparent (S), Real (P) and Reactive (Q)...
b) The load connected to a three-phase supply comprises three similar coils connected in star. If the phase currents are 10A and the total active power and power factor absorb by the loads are 3kW and 0.8 lagging, respectively. Find: i. The magnitude of phase and line voltages (4 marks) ii. Total apparent power (1 mark) iii. The impedance of each coil. (2 marks) c) If the coil in Q3(b) are now connected in delta to the same three-phase supply,...
Q3 (3 marks) (4 marks) Two wattmeters are connected in the a and b phases, with the ends of the voltage coils connected in the c phase, of a balanced three phase star- connected lagging load. Draw a circuit diagram showing the three phases, the wattmeters and the load. Draw a phasor diagram of the phase voltages and currents, the voltages across the wattmeter voltage coils, and the angles between the wattmeter voltages and currents. Show that the sum of...
Question 2: Three phase circuit. (100p) A wye connected generator supplies a delta connected balanced load through short feeder. seree the load line to neutral voltage as reference voltage phase angle zero. 02.1 Q2.2 Q2.3 Q2.4 Draw the equivalent circuit. 10p Calculate the load line-to-neutral voltages and line-to-line voltages. 20p Calculate the delta load currents and feeder currents. 20p Calculate the supply wye connected generator line-to-neutral voltages. Is the obtained values are acceptable? Calculate the generator real and reactive power...
5 Three inductive coils each of inductance 45mH are connected in star to a 3 phase 400V, 50 Hz supply. Calculate the inductance of each coil, which when connected in delta to take the same supply voltage and line current, also find the power delivered at unity power factor for both star and delta connected load. (6 Marks)
ELE2601/101/3/2019 QUESTION 4 A 400 V three-phase, 50 Hz system, ABC sequence supplies the following loads: A star-connected load with the following phase impedances: A delta-connected load of equal phase impedances: Use VAB as reference and determine the following quantities: 4.1 The magnitude and angle of the currents drawn by the star-connected load (IAN; lBN; ICN). 4.1.1 The magnitude and angle of the phase (IAB; lBc; ICa) and line (lA; ls; Ic) currents drawn by the delta-connected load. 4.1.2 (12)...
1. In order to meet an emergency, three single-phase transformers with 12.470/7.200 V are connected in Delta-Wye to form a three-phase transformer which is fed by a 12.470 V transmission line. If the transformer supplies 60 MVA to a load, calculate: (3 marks) a. The turns ratio for each transformer b. The currents in the primary and secondary windings of the transformer c. The primary and secondary transmission line currents 2. A Wye-Delta transformer is connected to a 66 kV...
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