The following diagram shows a basic structure of energy
distribution. In the thermoelectric plant, a three-phase generator
feeds an elevator transformer which has an output of 230kVrms in
each of its phases. The relation that is had in this transformer is
1:60. The transformer acts as a balanced three-phase source which
supplies two parallel three-phase networks represented by the
high-voltage lines. These high-voltage lines have a resistance per
line of Rw = 10Ω and are connected to a step-down transformer which
represents a balanced load. The step-down transformer features a
15600Vrms output, which eventually reaches a single-phase local
distribution transformer that reduces the voltage to 120Vrms.
Determine the following:
1. Determine the voltage produced by the three-phase generator. (10
points)
2. If at any given moment the total load in one of the three-phase
networks consumes
a power of S = 190kV A with a power factor of 0.9, determine the
power 1
Average loss in the 6 threads of the line resistance. (15
points)
3. Determine the turns ratio of the local distribution transformer.
(10 points)
4. Calculate the primary current of the local distribution
transformer when the house network consumes a power of P = 25kW.
(15 points)
Homework Answers
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The following diagram shows a basic structure of energy
distribution. In the thermoelectric plant, a three-phase...
Problem 3. Two three-phase generators supply a three-phase load through separate three-phase lines. The load absorbs...
Problem 3. Two three-phase generators supply a three-phase load through separate three-phase lines. The load absorbs 30 kW at 0.8 power factor lagging. The line impedance is (1.4 + j1.6) 12 per phase between generator G1 and the load, and (0.8 + jl) 2 per phase between generator G2 and the load. If generator G1 supplies 15 kW at 0.8 power factor lagging, with a terminal voltage of 460 V line-to-line, determine: 1. The voltage at the load terminals. 2....
Two three-phase generators supply a three-phase load through separate three-phase lines. The load absorbs 30 kW...
Two three-phase generators supply a three-phase load through separate three-phase lines. The load absorbs 30 kW at 0.8 power factor lagging. The line impedance is (1.4 +J1.6) Ω per phase between generator G1 and the load, and (0.8 +jl ) Ω per phase between generator G2 and the load. If generator Gl supplies 15 kW at 0.8 power factor lagging, with a terminal voltage of 460 V line- to-line, determine 1. The voltage at the load terminals. 2. The voltage...
5. Consider the one-ine diagram shown below. The three-phase transformer bank is made up of three identical single-phase transformer, each specified by X1-0.004 Ω (on the high-voltage side), negl...
5. Consider the one-ine diagram shown below. The three-phase transformer bank is made up of three identical single-phase transformer, each specified by X1-0.004 Ω (on the high-voltage side), negligible resistance and magnetizing current, and turns ratio N2/N,-10. The transformer bank is delivering is delivering 110MW at 0.9 power factor leading to a substation bus voltage is 230kV. Determine the reactive power supplied by the source. (3.47) whose To rest of the system Generator ΔΥ 230-kV substation bus Step-up transformer bank...
In a three-phase system, two buses abc and a'b'c'are connected by two parallel lines Ll and...
In a three-phase system, two buses abc and a'b'c'are connected by two parallel lines Ll and L2 with positive-sequence series reactances XL1 - 0.25 pu and Xi2 - 0.20 pu. The two parallel lines supply a balanced load with a load current of 1.0-30° pu. Determine the real and reactive power supplied to the load bus from each parallel line with (a) no regulating transformer, (b) the voltage-magnitude- regulating transformer providing a 0.05 per-unit increase in voltage magnitude toward bus...
Fig. Q3 shows the one-line diagram of a three-phase power system. As shown in Fig. 23,...
Fig. Q3 shows the one-line diagram of a three-phase power system. As shown in Fig. 23, the two zones are connected by a 400 MVA, 240-kV/24-kV, Y-A three phase transformer. The Y-three phase transformer has an equivalent series impedance of 2T - 1.2 + |1.6 per phase referred to the high-voltage side (primary side). The three-phase power system can be studied with per unit quantities using base values of So=500 MVA and 240 kV in zone 1. 2 -1.61253.15" Line...
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...
According to the circuit in the figure, there is a balanced three-phase system with star configurations....
According to the circuit in the figure, there is a balanced
three-phase system with star configurations. Let Vbc =
120∠60° and a line resistance Rw = 0.5 ohms. If the
total load (which also includes the line resistance) extracts kVA
at a lag fp = 0.8. Decide:
a) The power lost in the line resistance
b) Van
Rw RW C Vch V n N (12+) Zp a A 2 V bn 1p Rw b B
Question 25 A balanced 3-phase Y-connected power supplies an office building through a four-wire distribution. The...
Question 25 A balanced 3-phase Y-connected power supplies an office building through a four-wire distribution. The circuit operates at 60 Hz. The voltage at the source is such that ? is taken in reference value and its value is 380 V in rms value and phase sequence ABC (positive). All the distribution line conductors are of the same material and have equal cross-sections. Considering the length of the line and the characteristics of the electrical cables, the impedances neutral conductors...
A three phase 250 kVA 2400:415 V 50 Hz distribution transformer is constructed by connecting thre...
A three phase 250 kVA 2400:415 V 50 Hz distribution transformer is constructed by connecting three single phase transformers in the Dynll vector group as shown in Fig.P1. The per phase equivalent circuit parameters on the high voltage side are: R1-0.72 Ω, Xi,-0.92 Ω, R2-0.70 Ω, Xp-0.90 Ω, R.-308.49 Ω, and X,,-44.61 Ω (a) Sketch the corresponding phasor diagram of the primary and secondary voltages for the Dynll vector group; lagging; terminal voltage is 415 V line to line, and...
A feeder from a distribution transformer is 500m long. It consists of three wires having an...
A feeder from a distribution transformer is 500m long. It consists of three wires having an impedance of 0.052 + j0.069Ω/km and apparent power capacity of 190MVA. The three-phase load is balanced and draws 130 kW at 440V with a 60% lagging power factor. Determine the minimum kvar rating of capacitors capable of correcting the power factor to allow rated apparent power to flow in the feeder. What is the voltage regulation of the feeder?
Problem 3. Two three-phase generators supply a three-phase load through separate three-phase lines. The load absorbs 30 kW at 0.8 power factor lagging. The line impedance is (1.4 + j1.6) 12 per phase between generator G1 and the load, and (0.8 + jl) 2 per phase between generator G2 and the load. If generator G1 supplies 15 kW at 0.8 power factor lagging, with a terminal voltage of 460 V line-to-line, determine: 1. The voltage at the load terminals. 2....
Two three-phase generators supply a three-phase load through separate three-phase lines. The load absorbs 30 kW at 0.8 power factor lagging. The line impedance is (1.4 +J1.6) Ω per phase between generator G1 and the load, and (0.8 +jl ) Ω per phase between generator G2 and the load. If generator Gl supplies 15 kW at 0.8 power factor lagging, with a terminal voltage of 460 V line- to-line, determine 1. The voltage at the load terminals. 2. The voltage...
5. Consider the one-ine diagram shown below. The three-phase transformer bank is made up of three identical single-phase transformer, each specified by X1-0.004 Ω (on the high-voltage side), negligible resistance and magnetizing current, and turns ratio N2/N,-10. The transformer bank is delivering is delivering 110MW at 0.9 power factor leading to a substation bus voltage is 230kV. Determine the reactive power supplied by the source. (3.47) whose To rest of the system Generator ΔΥ 230-kV substation bus Step-up transformer bank...
In a three-phase system, two buses abc and a'b'c'are connected by two parallel lines Ll and L2 with positive-sequence series reactances XL1 - 0.25 pu and Xi2 - 0.20 pu. The two parallel lines supply a balanced load with a load current of 1.0-30° pu. Determine the real and reactive power supplied to the load bus from each parallel line with (a) no regulating transformer, (b) the voltage-magnitude- regulating transformer providing a 0.05 per-unit increase in voltage magnitude toward bus...
Fig. Q3 shows the one-line diagram of a three-phase power system. As shown in Fig. 23, the two zones are connected by a 400 MVA, 240-kV/24-kV, Y-A three phase transformer. The Y-three phase transformer has an equivalent series impedance of 2T - 1.2 + |1.6 per phase referred to the high-voltage side (primary side). The three-phase power system can be studied with per unit quantities using base values of So=500 MVA and 240 kV in zone 1. 2 -1.61253.15" Line...
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...
According to the circuit in the figure, there is a balanced
three-phase system with star configurations. Let Vbc =
120∠60° and a line resistance Rw = 0.5 ohms. If the
total load (which also includes the line resistance) extracts kVA
at a lag fp = 0.8. Decide:
a) The power lost in the line resistance
b) Van
Rw RW C Vch V n N (12+) Zp a A 2 V bn 1p Rw b B
A three phase 250 kVA 2400:415 V 50 Hz distribution transformer is constructed by connecting three single phase transformers in the Dynll vector group as shown in Fig.P1. The per phase equivalent circuit parameters on the high voltage side are: R1-0.72 Ω, Xi,-0.92 Ω, R2-0.70 Ω, Xp-0.90 Ω, R.-308.49 Ω, and X,,-44.61 Ω (a) Sketch the corresponding phasor diagram of the primary and secondary voltages for the Dynll vector group; lagging; terminal voltage is 415 V line to line, and...
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