![Problem 3 a- List five different transformer types used in the electric power system. [5 points] Consider a three-winding transformer, as shown in Figure 1, with the following particulars Ze 0.01+j 0.08 V2-440 z,= 0.01 tj 0.08 2-100/-25 Z- 0.01 +j 0.08 s-80/-35° Assume that V2 is the reference phasor, calculate: (a) The intermediate voltage Vo (3 points) (b) The primary current l and the primary voltage V. (3 points) (c) The tertiary voltage Vs referred to the primary side. (3 points) (d) The apparent powers and power factors at the primary, secondary and tertiary terminals. (3 points) (e) The transformer efficiency. (3 points) Is V3 Figure (1) Three Winding Transformer Equivalent Circuit for Problem 3](http://img.homeworklib.com/questions/cbe0eeb0-f7b8-11eb-98ab-7123c871bdaf.png?x-oss-process=image/resize,w_560)
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Problem 3 a- List five different transformer types used in the electric power system. [5 points]...
Problem 3 Consider a three-winding transformer, as shown in Figure (2.) with the following particulars: Zp=0.025+j0.08...
Problem 3 Consider a three-winding transformer, as shown in Figure (2.) with the following particulars: Zp=0.025+j0.08 V =410 Zs= 0.025+j 0.07 12=55/-30° Z= 0.025+ 0.08 13=45/-40° Assume that V1 is the reference, calculate: (a) The primary current 1: [5 points] (b) The intermediate voltage Vo [5 points) (c) The secondary voltage V2 and tertiary voltage V3 referred to the primary side. [5 points] (d) The apparent powers and power factors at the primary, secondary and tertiary terminals. [5 points) (e)...
A three-phase Yy0 connected transformer has a nominal rating of 250 kVA and a voltage ratio...
A three-phase Yy0 connected transformer has a nominal rating of 250 kVA and a voltage ratio 15:0.4 kV. After conducting the short-circuit test, where the secondary winding is short-circuited, it is found that the primary series resistance is 0.08 pu and the primary series impedance magnitude is 0.1pu. The effect of the parallel branch in the transformer’s equivalent circuit may be neglected. Explain what information ‘Yy0’ gives about the transformer. Draw the per-phase equivalent circuit of the transformer during the...
Problem 1: The secondary winding of a transformer has a terminal voltage of v, (t) 282.8...
Problem 1: The secondary winding of a transformer has a terminal voltage of v, (t) 282.8 sin 377t V. The turns ratio of the transformer is 100:200 (a0.50) The impedances of this transformer referred to the primary side are The equivalent circuit is shown below lf (a) If the secondary current of the transformer is i,()-7.07sin(3771-36.87) A, what is the primary current of this transformer? (20 points) HINTS: I. Peak values of the secondary voltage and current are specified in...
Problem 6 (20 points) Generate the per-unit admittance matrix for the following power system. All impedances...
Problem 6 (20 points) Generate the per-unit admittance matrix for the following power system. All impedances are in per unit quantities and do not include any load or source impedances. Bus 1 Bus 2 om 2192TO ZA = 1+j2 Za = 2+j3 Ze = 1+j0.5 Bus 3 Problem 7(10 points) An individual facility is to receive 480V three-wire delta service. The feeder voltage is 12,000V. If the existing estimated load is 900 kW and you need to plan for 20%...
Problem E1.2.6 (20 points) Consider the magntically coupled circuit that involves an ideal transformer as depicted...
Problem E1.2.6 (20 points) Consider the magntically coupled circuit that involves an ideal transformer as depicted in Figure E1.2.6. The sinusoidal voltage source frequency is 20 x 103 (rad/sec). The load connected to the secondary winding (RHS of the ideal transformer) consists of a variable resistor R in series with a variable capacitor C. (a) Find the values of R and C for maximum power transfer from the voltage source in the primary winding. (b) What is the maximum average...
Problem 3 A 50-Hz transformer is operated from a 60 Hz supply. Assume that the load...
Problem 3 A 50-Hz transformer is operated from a 60 Hz supply. Assume that the load does not change. Discuss the corresponding effects on its flux, reactive power requirements, losses, and efficiency. а- [5 Points] A 50-kVA, 2400/240 V, 60-Hz, single-phase distribution transformer has the following equivalent circuit parameters referred to the high-voltage side Xea 3.0 Req= 0.5 Xm 4,500 S2 Use the equivalent Cantilever model circuit shown in Figure (1). Assume that the load on the secondary of the...
4.4 Voltage regulating transformer. Consider the following circuit in which the generator real and reactive power...
4.4 Voltage regulating transformer. Consider the following circuit in which the generator real and reactive power output is 100.0 MW and -50 MVAr respec- tively: the generator voltage is 1.02 pu; the transformer impedance is Zt = 0.01 + 0.15 pu on a base of 180 MVA; and the transformer off-nominal tap setting is t-1.05 pu. Calculate the voltage magnitude at the network terminals. til P+jQ ZE Network Figure 3: Problem 4.4 - Circuit calculation with transformer off-nominal taps. 4.5...
PROBLEM 5 a Discuss the consequences of short circuit faults on electric power systems [5 Points...
PROBLEM 5 a Discuss the consequences of short circuit faults on electric power systems [5 Points Protective schemes are routinely used for electric power transformers. Name at least three different types of transformer protective schemes (by function) and explain briefly their principles of operation. [5 Points] Consider the system shown in the single-line diagram of Figure (4 per unit to the same base. Assume that the voltage at both sources is 1 p.u .) All reactances are shown in ind...
Problem 3. A three-phase transformer is constructed using three single-phase two-winding trans- formers, each has the...
Problem 3. A three-phase transformer is constructed using three single-phase two-winding trans- formers, each has the same ratings of 500 MVA, 15/240 kV, and leakage impedance of XT.p.u 0.2 p.u The high-voltage side of the three-phase transformer is connected to a three-phase Y-connected load that absorbs 1000 MVA at 0.9 power factor (lagging). The phase-a voltage across the load is Van 2402(0) kV. Answer the following questions. [10 points] a) Calculate the phase-a voltage at the low-voltage side (denoted by...
PROBLEM 5 (20 pts]: Draw an impedance diagram for the electric power system given in the...
PROBLEM 5 (20 pts]: Draw an impedance diagram for the electric power system given in the Figure 4 showing all impedances in per unit on a 100MVA base. Choose 20/200 kV as the voltage base. If there is a three-phase to ground solid fault at the load bus, what will be fault current taken from generator 1. The three-phase power and line-line ratings are given below. Gl: 90 MVA, 20 kV, X = 9%; TR1: 80 MVA, 20/200 kV, X...
Problem 3 Consider a three-winding transformer, as shown in Figure (2.) with the following particulars: Zp=0.025+j0.08 V =410 Zs= 0.025+j 0.07 12=55/-30° Z= 0.025+ 0.08 13=45/-40° Assume that V1 is the reference, calculate: (a) The primary current 1: [5 points] (b) The intermediate voltage Vo [5 points) (c) The secondary voltage V2 and tertiary voltage V3 referred to the primary side. [5 points] (d) The apparent powers and power factors at the primary, secondary and tertiary terminals. [5 points) (e)...
Problem 1: The secondary winding of a transformer has a terminal voltage of v, (t) 282.8 sin 377t V. The turns ratio of the transformer is 100:200 (a0.50) The impedances of this transformer referred to the primary side are The equivalent circuit is shown below lf (a) If the secondary current of the transformer is i,()-7.07sin(3771-36.87) A, what is the primary current of this transformer? (20 points) HINTS: I. Peak values of the secondary voltage and current are specified in...
Problem 6 (20 points) Generate the per-unit admittance matrix for the following power system. All impedances are in per unit quantities and do not include any load or source impedances. Bus 1 Bus 2 om 2192TO ZA = 1+j2 Za = 2+j3 Ze = 1+j0.5 Bus 3 Problem 7(10 points) An individual facility is to receive 480V three-wire delta service. The feeder voltage is 12,000V. If the existing estimated load is 900 kW and you need to plan for 20%...
Problem E1.2.6 (20 points) Consider the magntically coupled circuit that involves an ideal transformer as depicted in Figure E1.2.6. The sinusoidal voltage source frequency is 20 x 103 (rad/sec). The load connected to the secondary winding (RHS of the ideal transformer) consists of a variable resistor R in series with a variable capacitor C. (a) Find the values of R and C for maximum power transfer from the voltage source in the primary winding. (b) What is the maximum average...
Problem 3 A 50-Hz transformer is operated from a 60 Hz supply. Assume that the load does not change. Discuss the corresponding effects on its flux, reactive power requirements, losses, and efficiency. а- [5 Points] A 50-kVA, 2400/240 V, 60-Hz, single-phase distribution transformer has the following equivalent circuit parameters referred to the high-voltage side Xea 3.0 Req= 0.5 Xm 4,500 S2 Use the equivalent Cantilever model circuit shown in Figure (1). Assume that the load on the secondary of the...
4.4 Voltage regulating transformer. Consider the following circuit in which the generator real and reactive power output is 100.0 MW and -50 MVAr respec- tively: the generator voltage is 1.02 pu; the transformer impedance is Zt = 0.01 + 0.15 pu on a base of 180 MVA; and the transformer off-nominal tap setting is t-1.05 pu. Calculate the voltage magnitude at the network terminals. til P+jQ ZE Network Figure 3: Problem 4.4 - Circuit calculation with transformer off-nominal taps. 4.5...
PROBLEM 5 a Discuss the consequences of short circuit faults on electric power systems [5 Points Protective schemes are routinely used for electric power transformers. Name at least three different types of transformer protective schemes (by function) and explain briefly their principles of operation. [5 Points] Consider the system shown in the single-line diagram of Figure (4 per unit to the same base. Assume that the voltage at both sources is 1 p.u .) All reactances are shown in ind...
Problem 3. A three-phase transformer is constructed using three single-phase two-winding trans- formers, each has the same ratings of 500 MVA, 15/240 kV, and leakage impedance of XT.p.u 0.2 p.u The high-voltage side of the three-phase transformer is connected to a three-phase Y-connected load that absorbs 1000 MVA at 0.9 power factor (lagging). The phase-a voltage across the load is Van 2402(0) kV. Answer the following questions. [10 points] a) Calculate the phase-a voltage at the low-voltage side (denoted by...
PROBLEM 5 (20 pts]: Draw an impedance diagram for the electric power system given in the Figure 4 showing all impedances in per unit on a 100MVA base. Choose 20/200 kV as the voltage base. If there is a three-phase to ground solid fault at the load bus, what will be fault current taken from generator 1. The three-phase power and line-line ratings are given below. Gl: 90 MVA, 20 kV, X = 9%; TR1: 80 MVA, 20/200 kV, X...
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