Question

Estimate the total harmonic distortion [THD] present in the current waveform using the formula $ THD(I) = \frac{1}{I_1} \sqrt{\sum_{n=2}^{max} (I_n)^2} \times 100\%$ where $I_1$ is the r.m.s. value of the fundamental current, $I_n$ the r.m.s value of the nth harmonic and n(max) is the number of the highest measurable or significant harmonic. [Note the vertical axis of the spectrum graph is scaled in (current)$^2$.]

          Estimate the total harmonic distortion [THD] present in the current waveform using the formula
\( THD(I) = \frac{1}{I_1} \sqrt{\sum_{n=2}^{max} (I_n)^2} \times 100\%\)
where $I_1$ is the r.m.s. value of the fundamental current, $I_n$ the r.m.s value of the nth harmonic and n(max) is the number of the highest measurable or significant harmonic. [Note the vertical axis of the spectrum graph is scaled in (current)$^2$.]

Estimate the total harmonic distortion [THD] present in the current waveform using the formula
THD(I) = (1)/(I1)√(∑n=2^max (In)^2)× 100%
where I1 is the r.m.s. value of the fundamental current, In the r.m.s value of the nth harmonic and n(max) is the number of the highest measurable or significant harmonic. [Note the vertical axis of the spectrum graph is scaled in (current)^2.]

Added by Cody K.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Geeta Yadav

Step 1

First, we need to determine the RMS value of the fundamental current, I1. This can be done by finding the square root of the average of the squared current values over one period of the fundamental frequency. Show more…

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Estimate the total harmonic distortion (THD) present in the current waveform using the formula THD = (I1 / I_n) * 100%, where I1 is the RMS value of the fundamental current, I_n is the RMS value of the nth harmonic, and n_max is the number of the highest measurable or significant harmonic. (Note: The vertical axis of the spectrum graph is scaled in (current)^2.)