Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
(2) (z) Just to make sure as a preliminary question... if the base quantity is XB and the actual value of the quantity is X, write down the fundamental definition of X,mu: In a 3 phase balanced AC system, suppose that we have already chosen the 3 phase power base S and the line to line voltage base V. Now we choose the rest of the bases in a coordinated way. (a) What is the single phase power base SB that makes the 3 phase power and the single phase power numerically equal in per unit? (b) What is the line to neutral voltage base VB that makes the line to line voltage and the line to neutral voltage numerically equal in per unit? Show that it works. (c) What is the line current base IB that makes S = VI* work out in per unit? First give the answer expressing IB in terms of SB and VB. Then express Ig in terms of S and V. 'B

(2) (z) Just to make sure as a preliminary question... if the base quantity is XB and the actual value of the quantity is X, write down the fundamental definition of X,mu: In a 3 phase balanced AC system, suppose that we have already chosen the 3 phase power base S and the line to line voltage base V. Now we choose the rest of the bases in a coordinated way. (a) What is the single phase power base SB that makes the 3 phase power and the single phase power numerically equal in per unit? (b) What is the line to neutral voltage base VB that makes the line to line voltage and the line to neutral voltage numerically equal in per unit? Show that it works. (c) What is the line current base IB that makes S = VI* work out in per unit? First give the answer expressing IB in terms of SB and VB. Then express Ig in terms of S and V. 'B

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
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
See similar textbooks
icon
Related questions
Question

Solve A-E

**(2)** *(z)* Just to make sure as a preliminary question... if the base quantity is \( X_B \) and the actual value of the quantity is \( X \), write down the fundamental definition of \( X_{pu} \). In a 3-phase balanced AC system, suppose that we have already chosen the 3-phase power base \( S_B^{3\phi} \) and the line-to-line voltage base \( V_B^{\ell\ell} \). Now we choose the rest of the bases in a coordinated way. **(a)** What is the single-phase power base \( S_B \) that makes the 3-phase power and the single-phase power numerically equal in per unit? **(b)** What is the line-to-neutral voltage base \( V_B \) that makes the line-to-line voltage and the line-to-neutral voltage numerically equal in per unit? Show that it works. **(c)** What is the line current base \( I_B \) that makes \( S = VI^* \) work out in per unit? First, give the answer expressing \( I_B \) in terms of \( S_B \) and \( V_B \). Then express \( I_B \) in terms of \( S_B^{3\phi} \) and \( V_B^{\ell\ell} \). **(d)** What is the impedance base \( Z_B \) that makes the \( V = ZI \) work out in per unit? First, give the answer expressing \( Z_B \) in terms of \( V_B \) and \( I_B \). Then express \( Z_B \) in terms of \( S_B \) and \( V_B \). Then express \( Z_B \) in terms of \( S_B^{3\phi} \) and \( V_B^{\ell\ell} \). **(e)** Now suppose that the per unit system above is relabeled as \( S_B^{3\phi old}, V_B^{\ell\ell old} \), etc., and that we also choose a new per unit system based on \( S_B^{3\phi new}, V_B^{\ell\ell new} \). Derive from first principles the formula expressing \( Z_{pu}^{new} \) in terms of \( Z_{pu}^{old}, S_B^{3\phi old}, V_B^{\ell\ell old},
Transcribed Image Text:**(2)** *(z)* Just to make sure as a preliminary question... if the base quantity is \( X_B \) and the actual value of the quantity is \( X \), write down the fundamental definition of \( X_{pu} \). In a 3-phase balanced AC system, suppose that we have already chosen the 3-phase power base \( S_B^{3\phi} \) and the line-to-line voltage base \( V_B^{\ell\ell} \). Now we choose the rest of the bases in a coordinated way. **(a)** What is the single-phase power base \( S_B \) that makes the 3-phase power and the single-phase power numerically equal in per unit? **(b)** What is the line-to-neutral voltage base \( V_B \) that makes the line-to-line voltage and the line-to-neutral voltage numerically equal in per unit? Show that it works. **(c)** What is the line current base \( I_B \) that makes \( S = VI^* \) work out in per unit? First, give the answer expressing \( I_B \) in terms of \( S_B \) and \( V_B \). Then express \( I_B \) in terms of \( S_B^{3\phi} \) and \( V_B^{\ell\ell} \). **(d)** What is the impedance base \( Z_B \) that makes the \( V = ZI \) work out in per unit? First, give the answer expressing \( Z_B \) in terms of \( V_B \) and \( I_B \). Then express \( Z_B \) in terms of \( S_B \) and \( V_B \). Then express \( Z_B \) in terms of \( S_B^{3\phi} \) and \( V_B^{\ell\ell} \). **(e)** Now suppose that the per unit system above is relabeled as \( S_B^{3\phi old}, V_B^{\ell\ell old} \), etc., and that we also choose a new per unit system based on \( S_B^{3\phi new}, V_B^{\ell\ell new} \). Derive from first principles the formula expressing \( Z_{pu}^{new} \) in terms of \( Z_{pu}^{old}, S_B^{3\phi old}, V_B^{\ell\ell old},
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Sinusoids and Phasors of Alternating Circuit
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,
SEE MORE TEXTBOOKS