Answer to Question #226503 in Electrical Engineering for Alock kumar

Question #226503

Show that, "Three unbalanced phasors of a 3- system can be resolved into three balanced system of phasors."


1
Expert's answer
2021-08-19T08:27:02-0400


Consider an unbalanced phasor has shown in (a). The positive, negative, and zero sequence are shown in (b), (c), and (d) respectively.

Let's define the a-operator

"a=e^{j120\\degree}=-\\dfrac{1}{2}+j\\dfrac{\\sqrt{3}}{2}\\\\\na^2=e^{j240\\degree}=-\\dfrac{1}{2}-j\\dfrac{\\sqrt{3}}{2}\\\\"

from (b)

"V_{b1}=a^2V_{a1}\\\\\nV_{c1}=aV_{a1}\\\\"

from (c)

"V_{b2}=aV_{a2}\\\\\nV_{c2}=a^2V_{a2}"

from (d)

"V_{a0}=V_{b0}=V_{c0}"



"V_{a}=V_{a0}+V_{a1}+V_{a2}\\\\\nV_{b}=V_{b0}+V_{b1}+V_{b2}\\\\\nV_{b}=V_{a0}+a^2V_{a1}+aV_{a2}\\\\\nV_{c}=V_{c0}+V_{c1}+V_{c2}\\\\\nV_{c}=V_{a0}+aV_{a1}+a^2V_{a2}\\\\"



Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS