Q3. a) Given the unsymmetrical phasors for a three-phase system, they can be represented in terms of their symmetrical components as follows: [Fa] [1 1 Fb = 1 a² [Fc. 11[Fao] a Fai 1 a a2F a2- where F stands for any three-phase quantity. Conversely, the sequence components can be derived from the unsymmetrical phasors as: [11 1] [Fal Faol Fa1 = 1 a a² F 1 a² a a2. Given the unbalanced three-phase voltages: V₁ = 120/10° V, V₂ = 200/110° V, V = 240/200° V Calculate in polar form the sequence components of the voltage.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.3MCQ: If a phasor representation of a current is given by I=70.745A, it is equivalent to a. 100e/45 b....
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Q3.
a) Given the unsymmetrical phasors for a three-phase system, they can be
represented in terms of their symmetrical components as follows:
[Fa]
[1 1
Fb = 1 a²
[Fc.
11[Fao]
a Fai
1 a a2F a2-
where F stands for any three-phase quantity. Conversely, the sequence
components can be derived from the unsymmetrical phasors as:
[11 1] [Fal
Faol
Fa1 =
1 a a² F
1 a²
a
a2.
Given the unbalanced three-phase voltages:
V₁ = 120/10° V, V₂ = 200/110° V, V = 240/200° V
Calculate in polar form the sequence components of the voltage.
Transcribed Image Text:Q3. a) Given the unsymmetrical phasors for a three-phase system, they can be represented in terms of their symmetrical components as follows: [Fa] [1 1 Fb = 1 a² [Fc. 11[Fao] a Fai 1 a a2F a2- where F stands for any three-phase quantity. Conversely, the sequence components can be derived from the unsymmetrical phasors as: [11 1] [Fal Faol Fa1 = 1 a a² F 1 a² a a2. Given the unbalanced three-phase voltages: V₁ = 120/10° V, V₂ = 200/110° V, V = 240/200° V Calculate in polar form the sequence components of the voltage.
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