(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)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
icon
Related questions
Question

Power systeams

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.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Economic load dispatch
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,