3.15 Consider a power source with its terminal voltage and current given as: vs(t) = 100+80 sin (wt-100°) +70 cos (2wt + 120°) +25 sin 3 wt V is(t) =12+10 sin (t+25°) +5 sin (2wt -30°) +2 cos 3wt A where is the fundamental angular frequency. Calculate: (a) The mms value of i(t) and v₂(f) (b) The average input power supplied by the source (c) The mms values of the fundamental components of i(t) and v(t) (d) THD, and THD (e) kdist. Kdisp, and pf

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 2.7P: Let a 100V sinusoidal source be connected to a series combination of a 3 resistor, an 8 inductor,...
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3.15 Consider a power source with its terminal voltage and current given as:
vs(t) = 100+80 sin (wt-100°) +70 cos (2wt + 120°) +25 sin 3 wt V
is(t) =12+10 sin (t+25°) +5 sin (2wt -30°) +2 cos 3wt A
where is the fundamental angular frequency.
Calculate:
(a) The mms value of i(t) and v₂(f)
(b) The average input power supplied by the source
(c) The mms values of the fundamental components of i(t) and v(t)
(d) THD, and THD
(e) kdist. Kdisp, and pf
Transcribed Image Text:3.15 Consider a power source with its terminal voltage and current given as: vs(t) = 100+80 sin (wt-100°) +70 cos (2wt + 120°) +25 sin 3 wt V is(t) =12+10 sin (t+25°) +5 sin (2wt -30°) +2 cos 3wt A where is the fundamental angular frequency. Calculate: (a) The mms value of i(t) and v₂(f) (b) The average input power supplied by the source (c) The mms values of the fundamental components of i(t) and v(t) (d) THD, and THD (e) kdist. Kdisp, and pf
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