Total Harmonic Distortion (THD) in Power Electronics - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the formula to calculate Total Harmonic Distortion (THD) given the RMS values of harmonics.

Power Electronics

THD = \frac{\sqrt{V_2^2 + V_3^2 + \cdots + V_n^2}}{V_[1]

Drag options to blanks, or click blank then click option'

AV_h

BV_0

CV_n

DV_1

Attempts:

3 left

💡 Hint

Common Mistakes

Using the total voltage instead of the fundamental voltage in the denominator.

Confusing the harmonic voltages with the fundamental voltage.

The THD formula divides the root sum square of all harmonic voltages by the fundamental voltage V₁.

2fill in blank

medium

Complete the sentence: THD is expressed as a percentage of the ratio of the harmonic content to the {{BLANK_1}}.

Power Electronics

THD (%) = \left( \frac{V_{harmonics}}{V_[1] \right) \times 100

Drag options to blanks, or click blank then click option'

Aaverage voltage

Btotal voltage

Cfundamental voltage

Dpeak voltage

Attempts:

3 left

💡 Hint

Common Mistakes

Using total voltage instead of fundamental voltage.

Confusing peak voltage with fundamental voltage.

THD is the ratio of the harmonic voltages to the fundamental voltage, expressed as a percentage.

3fill in blank

hard

Fix the error in the THD calculation formula by filling the blank correctly.

Power Electronics

THD = \frac{\sqrt{V_1^2 + V_2^2 + V_3^2}}{V_[1]

Drag options to blanks, or click blank then click option'

AV_1

BV_0

CV_2

DV_3

Attempts:

3 left

💡 Hint

Common Mistakes

Including the fundamental voltage in the numerator.

Using the wrong voltage in the denominator.

The formula incorrectly includes the fundamental voltage V₁ inside the root sum square. THD should only include harmonics in the numerator and divide by V₁.

4fill in blank

hard

Fill both blanks to complete the THD formula using RMS voltages of harmonics and fundamental.

Power Electronics

THD = \frac{\sqrt{V_[1]^2 + V_[2]^2}}{V_1}

Drag options to blanks, or click blank then click option'

A2

B3

C4

D1

Attempts:

3 left

💡 Hint

Common Mistakes

Using the fundamental voltage as a harmonic.

Repeating the same harmonic number incorrectly.

The THD numerator includes the squares of the 2nd and 3rd harmonic voltages, V₂ and V₃.

5fill in blank

hard

Fill all three blanks to complete the THD formula with harmonics 2, 3, and 4.

Power Electronics

THD = \frac{\sqrt{V_[1]^2 + V_[2]^2 + V_[3]^2}}{V_1}

Drag options to blanks, or click blank then click option'

A2

B3

C4

D1

Attempts:

3 left

💡 Hint

Common Mistakes

Including the fundamental voltage as a harmonic.

Skipping harmonic orders or repeating the same number.

The THD numerator includes the squares of the 2nd, 3rd, and 4th harmonic voltages.