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Power System Analysis and Design

Mulukutla S Sarma, J D Glover, Thomas Overbye

Computer Science

6th Edition · 925 pages

ISBN: 9781305632134

Chapter 8: Q47P (page 536)

For Problem 8.12, compute the power absorbed by the load using symmetrical components. Then verify the answer by computing directly without using symmetrical components.

Short Answer

Expert verified

Step by step solution

01

Write the given data from the question.

02

Determine the formula to calculate the power absorbed by the load.

The equations to calculate the power absorbed by the load with using symmetrical components.

The equation to calculate the base resistance is given as follows.

03

Calculate the power absorbed by the load with and without using symmetrical component.

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Most popular questions from this chapter

Using $a = 1 ∠ 120^{\circ}$ , evaluate the following in rectangular form:

a. $a^{10}$

b. ${(ja)}^{10}$

c. ${(1 - a)}^{3}$

d. $e^{a}$

Hint for (d): $e^{(x + jy)} = e^{x} ∠ y$ , where y is in radians.

In a balanced three-phase system, what is the zero-sequence voltage? $V_{0} =$ _______________

Consider a three-phase balanced Y-connected load with self and mutual impedances as shown in Figure 8.23. Let the load neutral be grounded through impedance $Z_{n}$ . Using Kirchhoff’s laws, develop the equations for line-to-neutral voltages, and then determine the elements of the phase impedance matrix. Also find the elements of the corresponding sequence impedance matrix.

(a) Given the symmetrical components to be $V_{0} = 10 ∠ 0^{0}$ , $V_{1} = 80 ∠ 30^{°} V$ role="math" localid="1656305320298" $V_{2} = 40 ∠ - 30^{°} V$ .Determine the unbalanced phase voltages $V_{a}, V_{b}$ , and $V_{c}$ .(b) Using the results of part (a), calculate the line-to-line voltages $V_{a b}, V_{b c}$ and $V_{ca}$ . Then determine the symmetrical components of these line-to-line voltages, the symmetrical components of the corresponding phase voltages, and the phase voltages. Compare them with the result of part (a). Comment on why they are different, even though either set results in the same line-to-line voltages

For a three-phase symmetrical impedance load, the sequence impedance matrix is ___________ and hence the sequence networks are (a) coupled or (b) uncoupled.

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