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(a) An ideal single-phase transformer has a rated voltage of 345 kV at the high side and 23 kV at the low side, and a rated power of 100 kVA. (i) Calculate the turns ratio, high side to low side, of this single-phase transformer. (ii) Calculate the rated currents for both the high side and low side of the single-phase transformer.

(a) An ideal single-phase transformer has a rated voltage of 345 kV at the high side and 23 kV at the low side, and a rated power of 100 kVA. (i) Calculate the turns ratio, high side to low side, of this single-phase transformer. (ii) Calculate the rated currents for both the high side and low side of the single-phase transformer.

Introductory Circuit Analysis (13th Edition)
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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Question 2 (a) An ideal single-phase transformer has a rated voltage of 345 kV at the high side and 23 kV at the low side, and a rated power of 100 kVA. (i) Calculate the turns ratio, high side to low side, of this single-phase transformer. (ii) Calculate the rated currents for both the high side and low side of the single-phase transformer. (b) Three identical single-phase transformers in part (b) are wound together to form a 3-phase transformer. The high-to-low side windings are in the form of a Y-A connection. The turns ratio is kept constant as in part (b). (i) Calculate the high-to-low voltage ratio of the 3-phase transformer. (ii) If the three voltage phases connected to the low side are Vax = 2320° kV, Vbx %3D 232-120° kV, and Vex = 234120° kV, formulate the voltage output Vah, Vbh, and Vch at the high side. (c) In an electric power system, it is given that the effective impedance of the generator station is Rs = 200 Q, and the effective impedance of the substation is RL = 300 Q. The line is I= 250 km long, and the source rms voltage is Vs = 45 kV operating at frequency f = 60 Hz. You are tasked to design the transmission line connection from the main station to the substation with maximum power transfer. Below is a list of cables from which you can select from. Inductance/length 9.26 µH/m 4.08 µH/m 2.82 µH/m Cable brand Capacitance/length 30 pF/m 68 pF/m 47 pF/m Cable L Cable M Cable N Determine the best cable for your transmission line design. Show how you arrive at your conclusion.
Transcribed Image Text:Question 2 (a) An ideal single-phase transformer has a rated voltage of 345 kV at the high side and 23 kV at the low side, and a rated power of 100 kVA. (i) Calculate the turns ratio, high side to low side, of this single-phase transformer. (ii) Calculate the rated currents for both the high side and low side of the single-phase transformer. (b) Three identical single-phase transformers in part (b) are wound together to form a 3-phase transformer. The high-to-low side windings are in the form of a Y-A connection. The turns ratio is kept constant as in part (b). (i) Calculate the high-to-low voltage ratio of the 3-phase transformer. (ii) If the three voltage phases connected to the low side are Vax = 2320° kV, Vbx %3D 232-120° kV, and Vex = 234120° kV, formulate the voltage output Vah, Vbh, and Vch at the high side. (c) In an electric power system, it is given that the effective impedance of the generator station is Rs = 200 Q, and the effective impedance of the substation is RL = 300 Q. The line is I= 250 km long, and the source rms voltage is Vs = 45 kV operating at frequency f = 60 Hz. You are tasked to design the transmission line connection from the main station to the substation with maximum power transfer. Below is a list of cables from which you can select from. Inductance/length 9.26 µH/m 4.08 µH/m 2.82 µH/m Cable brand Capacitance/length 30 pF/m 68 pF/m 47 pF/m Cable L Cable M Cable N Determine the best cable for your transmission line design. Show how you arrive at your conclusion.
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