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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: Q46P (page 536)

Short Answer

Expert verified

Step by step solution

01

Write the given data from the question.

Write the sequence voltages as follows:

02

Determine the formulas to calculate the complex power of each sequence network and total complex power.

The equation to calculate the zero-sequence component of current is given as follows.

The equation to calculate the positive-sequence component of current is given as follows.

The equation to calculate the negative sequence component of current is given as follows.

The equation to calculate the complex power delivered to zero sequence network is given as follows.

The equation to calculate the complex power delivered to positive sequence network is given as follows.

The equation to calculate the complex power delivered to negative sequence network is given as follows.

The equation to calculate the total complex power delivered to the load is given as follows as,

03

Draw the zero, positive and negative sequence network.

(a)

Calculate the zero-sequence component of current.

Calculate the positive-sequence component of current.

Calculate the positive-sequence component of current.

Draw the zero-sequence network.

Draw the positive-sequence network.

Draw the negative-sequence network.

04

Calculate the complex power for each sequence network.

(b)

Calculate the complex power delivered to zero sequence network

05

Calculate the total complex power delivered to three-phase load.

(c)

Calculate the total complex power delivered to the load.

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Most popular questions from this chapter

For the unbalanced three-phase system described by $I_{a = 10 ∠ 0 °}$ , role="math" localid="1654946116046" $I_{b = 8 ∠ - 90 ° A}$ and $I_{c = 6 ∠ 150 ° A}$ .

Compute the symmetrical components $I_{0}$ , $I_{1}$ and $I_{2}$ .

In terms of sequence components of phase given by $V_{ao} = V_{O}$ , $V_{a 1} = V_{1}$ , and $V_{a 2} = V_{2}$ , give expressions for the phase voltages $V_{a,} V_{b,}$ and $V_{c}$ . $V_{a}$ _______________; $V_{b}$ _______________; $V_{c}$ _______________

Determine the symmetrical components of the following line currents:

(a) $l_{a} = 6 ∠ 90 °, l_{b} = 6 ∠ 320 ° l_{c} = 6 ∠ 220 ° A$ and (b) $l_{a} = j 40, l_{b} = 40, l_{c} = 0 A$

The currents in a $∆$ load are localid="1655466938675" $l_{ab} = 10 ∠ 0^{°}, l_{bc} = 12 ∠ - 90^{°}$ and localid="1655466944329" $l_{ca} = 15 ∠ 90^{°} A$ . Calculate (a) the sequence components of thelocalid="1655466952375" $∆$ -load currents, denoted localid="1655466957040" $l_{∆ 0} l_{∆ 1}$ and localid="1655466961516" $l_{∆ 2}$ (b) the line currents localid="1655466965605" $l_{a}, l_{b} and l_{c}$ which feed thelocalid="1655466969204" $∆$ load and (c) sequence components of the line currentslocalid="1655466973046" $l_{Lo}, l_{L 1} and l_{L 2}$ . Also, verify the following general relation: localid="1655466976846" $l_{Lo} = 0, l_{L 1} = {\sqrt{31}}_{∆ 1} ∠ - 30^{°} and l_{L 2} = {\sqrt{31}}_{∆ 2} ∠ 30^{°}$ .

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.

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