Homework Answers
![Vz = V0 – 73[zt] 13 = 403-434 –j S.157 -(451_40)(0.0838 | 72.65) @ - 403.434–35.157–3.175-j 2.034. V =(400-299–37.191) = 400.](http://img.homeworklib.com/questions/1947d180-c6bb-11ea-8998-2bcd8f3c6fb6.png?x-oss-process=image/resize,w_560)
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Problem 3 Consider a three-winding transformer, as shown in Figure (2.) with the following particulars: Zp=0.025+j0.08...
Problem 3 a- List five different transformer types used in the electric power system. [5 points]...
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....
The ratings of a three-phase, three-winding transformer are Y connected, 66 kV, 20 MVA Primary (1):...
The ratings of a three-phase, three-winding transformer are Y connected, 66 kV, 20 MVA Primary (1): Secondary (2):Y connected, 13.2 kV, 15 MVA Tertiary (3): A connected, 2.3 kV, 5 MVA Neglecting winding resistances and exciting current, the per-unit leakage reactances are: X12 0.08 on a 20-MVA, 66-kV base X13 0.10 on a 20-MVA, 66-kV base X23 0.09 on a 15-MVA, 13.2-kV base (a) Determine the per-unit reactances Xi, X2, X3 of the equivalent circuit on a 20- MVA, 66-kV...
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...
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 3: A 3-0, IMVA, 13.8kV/4160V, 60 Hz, transformer with Y-A winding connection is supplying a...
Problem 3: A 3-0, IMVA, 13.8kV/4160V, 60 Hz, transformer with Y-A winding connection is supplying a 3-0, 0.75 p.u. load on the 4160V side of the transformer. The land has leading power factor of 0.0.11 buc by 1 p.u. voltage on the 13.8kV side. The transformer per unit impedance is j0.12 referred to the secondary side. a) Find the load impedance b) Find the input current on the primary side in real units c) Find the input power factor
three-phase transformer is rated at 12 kV/135 kV, 100 MVA. It has the following equivalent circuit...
three-phase transformer is rated at 12 kV/135 kV, 100 MVA. It has the following equivalent circuit parameters (referred to the primary winding where appropriate) : • primary resistance R1 = 0.03 ohms, secondary resistance R2’ = 0.04 ohms • primary leakage reactance X1 = 0.1 ohms, secondary leakage reactance X2’ = 0.1 ohms • magnetising reactance XM = 16 ohms, core-loss resistance RC = 200 ohms. In your calculations, you should use the simplified equivalent circuit. i) The transformer is...
Problem 1: A three-phase transformer has the following name plate data: Rated Power Primary voltage Secondary...
Problem 1: A three-phase transformer has the following name plate data: Rated Power Primary voltage Secondary Voltage Excitation reactance Series Impedance 150 MVA 230 kV 32 kV 30 (pu) 0.02+0.15j (pu) The transformer is Y/A connected. Answer the following questions: a) What are the nominal (rated) primary and secondary line currents?| b) What is the nominal value of the Delta-side winding (internal) current? c) What is the secondary to primary winding turn ratio? d) The transformer is supplying 150 MVA...
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 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 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...
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....
The ratings of a three-phase, three-winding transformer are Y connected, 66 kV, 20 MVA Primary (1): Secondary (2):Y connected, 13.2 kV, 15 MVA Tertiary (3): A connected, 2.3 kV, 5 MVA Neglecting winding resistances and exciting current, the per-unit leakage reactances are: X12 0.08 on a 20-MVA, 66-kV base X13 0.10 on a 20-MVA, 66-kV base X23 0.09 on a 15-MVA, 13.2-kV base (a) Determine the per-unit reactances Xi, X2, X3 of the equivalent circuit on a 20- MVA, 66-kV...
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 3: A 3-0, IMVA, 13.8kV/4160V, 60 Hz, transformer with Y-A winding connection is supplying a 3-0, 0.75 p.u. load on the 4160V side of the transformer. The land has leading power factor of 0.0.11 buc by 1 p.u. voltage on the 13.8kV side. The transformer per unit impedance is j0.12 referred to the secondary side. a) Find the load impedance b) Find the input current on the primary side in real units c) Find the input power factor
Problem 1: A three-phase transformer has the following name plate data: Rated Power Primary voltage Secondary Voltage Excitation reactance Series Impedance 150 MVA 230 kV 32 kV 30 (pu) 0.02+0.15j (pu) The transformer is Y/A connected. Answer the following questions: a) What are the nominal (rated) primary and secondary line currents?| b) What is the nominal value of the Delta-side winding (internal) current? c) What is the secondary to primary winding turn ratio? d) The transformer is supplying 150 MVA...
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 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 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...
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