(i) Calculate in polar form the symmetrical components corresponding to unbalanced currents given as follows: la = 152-10°, I = 102150°, I = 162 - 180° (ii) Calculate in polar form the unbalanced line-to-neutral voltages in a circuit where the sequence components are given as: Vao 120/90°, Val = 100/120°, Vaz 120/180°
(i) Calculate in polar form the symmetrical components corresponding to unbalanced currents given as follows: la = 152-10°, I = 102150°, I = 162 - 180° (ii) Calculate in polar form the unbalanced line-to-neutral voltages in a circuit where the sequence components are given as: Vao 120/90°, Val = 100/120°, Vaz 120/180°
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Question
![Unsymmetrical phasors can be expressed in terms of their symmetrical
components as
[F₂
[1
1 1 F
a
a0
= 1
q²
a
Fa₁
a1
LFC
L1
a a² a2.
where F stands for any three-phase quantity (e.g., current, voltage).
Conversely, the sequence components of three-phase unsymmetrical phasors
can be written as
F
[1 1
1
ao
a
1
Fal
1
a
a²
3
Faz
[1
a²
(i) Calculate in polar form the symmetrical components corresponding to
unbalanced currents given as follows:
la 152 10°, I₂ = 10<150°, I = 162 – 180°
=
(ii) Calculate in polar form the unbalanced line-to-neutral voltages in a circuit
where the sequence components are given as:
Vao = 120/90°, Val = 100/120°, Vaz = 120/180°](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F42be421e-d4ef-4e85-99d2-9423d5524514%2F9f213e73-2505-4bd9-8d47-517a6aaa932f%2Fy68i9qv_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Unsymmetrical phasors can be expressed in terms of their symmetrical
components as
[F₂
[1
1 1 F
a
a0
= 1
q²
a
Fa₁
a1
LFC
L1
a a² a2.
where F stands for any three-phase quantity (e.g., current, voltage).
Conversely, the sequence components of three-phase unsymmetrical phasors
can be written as
F
[1 1
1
ao
a
1
Fal
1
a
a²
3
Faz
[1
a²
(i) Calculate in polar form the symmetrical components corresponding to
unbalanced currents given as follows:
la 152 10°, I₂ = 10<150°, I = 162 – 180°
=
(ii) Calculate in polar form the unbalanced line-to-neutral voltages in a circuit
where the sequence components are given as:
Vao = 120/90°, Val = 100/120°, Vaz = 120/180°
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