Example 4: Determine the sequence components if Ia =10<60° A; Ib =10<-60° A; Ic = 10 <180° A. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
icon
Related questions
Question
Answer example number 4
Thursday, March 24, 2022 11:13 AM
Example 4: Determine the sequence components if Ia =10<60° A; Ib =10<-60° A; Ic =
10 <180° A.
Solution:
Ta0 = 1/3(Ia + Ib+ Ic)
Ial = 1/3(Ia + a Ib + a2Ic)
Ia2 = 1/3(Ia + a2 Ib + a Ic) = 0 A
=0 A
= 10<60° A
%3D
%3D
Observation: If the phasors are balanced, two sequence components will be zero.
Example 5: Determine the sequence components if Va = 100 <30° v;
<150° v & Vc = 100 <-90° V.
Vb = 100
%3D
Solution:
Va0 = 1/3(Va + Vb + Vc)
Val = 1/3(Va + a Vb + a2Vc) = 0 V
Va2 = 1/3(Va + a2 Vb + a Vc) = 100<30° v
=0 V
%3D
Observation: If the phasors are balanced, two sequence components will be zero.
Transcribed Image Text:Thursday, March 24, 2022 11:13 AM Example 4: Determine the sequence components if Ia =10<60° A; Ib =10<-60° A; Ic = 10 <180° A. Solution: Ta0 = 1/3(Ia + Ib+ Ic) Ial = 1/3(Ia + a Ib + a2Ic) Ia2 = 1/3(Ia + a2 Ib + a Ic) = 0 A =0 A = 10<60° A %3D %3D Observation: If the phasors are balanced, two sequence components will be zero. Example 5: Determine the sequence components if Va = 100 <30° v; <150° v & Vc = 100 <-90° V. Vb = 100 %3D Solution: Va0 = 1/3(Va + Vb + Vc) Val = 1/3(Va + a Vb + a2Vc) = 0 V Va2 = 1/3(Va + a2 Vb + a Vc) = 100<30° v =0 V %3D Observation: If the phasors are balanced, two sequence components will be zero.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax