(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°

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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°
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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