2. Concepts of RMS value and complex power under harmonic conditions: In the circuit below, the voltage has harmonics. The load is a passive element Z(s) = R + Ls, where R = 0.1 Ohm, and L = 1 mH. t ~ Ult) Figure 2: Problem 2: A circuit with harmonics. v(t) = 10 cos(wt) + 2 cos s (2wt + 7) + cos (3wt − 7) v. (1) • What is the current's time-domain expression i(t)? • What are the RMS values of the voltage and the current? • What are the real power, reactive power, apparent power, and power factor by the load? Hint: If you use phasor/impedance analysis, please make sure you are studying one harmonic frequency at a ime.

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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2. Concepts of RMS value and complex power under harmonic conditions: In the circuit below, the
voltage has harmonics. The load is a passive element Z(s) = R + Ls, where R = 0.1 Ohm, and L = 1 mH.
→2(+)
~ √(t)
Figure 2: Problem 2: A circuit with harmonics.
v(t) = 10 cos(wt) + 2 cos s (2wt + 7) + cos (3wt − 7) v.
(1)
What is the current's time-domain expression i(t)?
• What are the RMS values of the voltage and the current?
• What are the real power, reactive power, apparent power, and power factor by the load?
Hint: If you use phasor/impedance analysis, please make sure you are studying one harmonic frequency at a
time.
Transcribed Image Text:2. Concepts of RMS value and complex power under harmonic conditions: In the circuit below, the voltage has harmonics. The load is a passive element Z(s) = R + Ls, where R = 0.1 Ohm, and L = 1 mH. →2(+) ~ √(t) Figure 2: Problem 2: A circuit with harmonics. v(t) = 10 cos(wt) + 2 cos s (2wt + 7) + cos (3wt − 7) v. (1) What is the current's time-domain expression i(t)? • What are the RMS values of the voltage and the current? • What are the real power, reactive power, apparent power, and power factor by the load? Hint: If you use phasor/impedance analysis, please make sure you are studying one harmonic frequency at a time.
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