Q3: For each set of voltages, state whether or not the voltages form a balanced three-phase set. If the set is balanced, state whether the phase sequence is positive or negative. If the set is not balanced, explain why. = 2771 sin(377 t - 30°) V (a) va(t) = 381 cos(377 t) V v, (t) v.(t) = 381 cos(377 t+ 120°) V (c) va(t) 381 cos(377 t + 240°) V v,(t) = 2771 cos(377 t) V v.(t) = = 2771 sin(377 t + 210°) V b) va (t) = 170 sin(w t + 30°) V v, (t) = -170 cos(@ t) V v.(t) = 170 cos(@ t + 60°) V (d) va(t) = 3983 sin(@ t + 50°) V vp(t) = 3983 cos(w t- 160°) V v.(t) = 3983 cos(w t + 70°) V

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 2.23P: A single-phase source has a terminal voltage V=1200volts and a currentI=1530, which leaves the...
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Q3: For each set of voltages, state whether or not the voltages form a balanced three-phase
set. If the set is balanced, state whether the phase sequence is positive or negative. If
the set is not balanced, explain why.
(a) va(t) = 381 cos(377 t)
v(t)
v.(t) = 381 cos(377 t + 120°) V
(c) va(t) = 2771 sin(377 t- 30°) V
381 cos(377 t + 240°) V
v(t) =
= 2771 cos(377 t) V
v.(t) :
= 2771 sin(377 t + 210°) V
b) va(t) = 170 sin(w t + 30°) V
v, (t) = -170 cos(@ t) V
v.(t) = 170 cos(@ t + 60°) V
(d) va(t) = 3983 sin(w t +50°) V
v,(t) = 3983 cos(w t- 160°) V
v.(t) = 3983 cos(w t + 70°) V
Transcribed Image Text:Q3: For each set of voltages, state whether or not the voltages form a balanced three-phase set. If the set is balanced, state whether the phase sequence is positive or negative. If the set is not balanced, explain why. (a) va(t) = 381 cos(377 t) v(t) v.(t) = 381 cos(377 t + 120°) V (c) va(t) = 2771 sin(377 t- 30°) V 381 cos(377 t + 240°) V v(t) = = 2771 cos(377 t) V v.(t) : = 2771 sin(377 t + 210°) V b) va(t) = 170 sin(w t + 30°) V v, (t) = -170 cos(@ t) V v.(t) = 170 cos(@ t + 60°) V (d) va(t) = 3983 sin(w t +50°) V v,(t) = 3983 cos(w t- 160°) V v.(t) = 3983 cos(w t + 70°) V
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