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Ben Kemink Harmonics

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Harmonics

Ben Kemink

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A higher harmonic is a sine wave, with a frequency that is an integer multiple of the fundamental frequency.

Harmonic analysis resolves a distorted wave form into a DC-

Distorted wave resolve fundamental wave

7th harmonic wave Amplitude

frequency

fundamental component

3rd harmonic 5th harmonic

7th harmonic

5th harmonic wave 3rd harmonic wave

The Analysis

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Influence of the OBSERVATION WINDOW

When a RECTANGULAR WINDOW is applied, the sampling period must be

synchronized with the input signal period.

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How many harmonics are needed to obtain a certain accuracy?

(k=harmonics order number) (=n)

•The error is measured against RMS values!

Note:

•The fundamental (= first harmonic) and the higher harmonics are pure sine- waves!

This table shows the relationship between the number of harmonics included and

the remaining error as a percentage of the ideal waveform.

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How many Harmonics are enough?

Riferimenti

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