Harmonic distortion indicators - Crest factor: Difference between revisions
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The crest factor is the ratio between the value of the peak current or voltage ( | The crest factor is the ratio between the value of the peak current or voltage(I<sub>M</sub> or U<sub>M</sub>) and its r.m.s. value. | ||
* For a sinusoidal signal, the crest factor is therefore equal to <math>\sqrt 2</math>. | |||
* For a non-sinusoidal signal, the crest factor can be either greater than or less than <math>\sqrt 2</math>. | |||
The crest factor for the current drawn by non-linear loads is commonly much higher than <math>\sqrt 2</math>. It is generally between 1.5 and 2 and can even reach 5 in critical cases. | |||
A high crest factor signals high current peaks which, when detected by protection devices, can cause nuisance tripping. | |||
'''Examples:''' | |||
'''Figure M7''' represents the current absorbed by a compact fluorescent lamp. | |||
I<sub>r.m.s.</sub> : 0.16A<br> | |||
I<sub>M</sub> : 0.6A<br> | |||
THD<sub>i </sub>: 145%<br> | |||
Crest factor: 3.75 | |||
[[Image:Fig_M07.jpg|none]] | |||
'''''Fig. M7 :''''' ''Typical current waveform of a compact fluorescent lamp'' | |||
'''Figure M8''' represents the voltage supplying non-linear loads through a high impedance line, with a typical "flat top" distorted waveform. | |||
V<sub>r.m.s.</sub> : 500V<br> | |||
V<sub>M</sub> : 670V<br> | |||
THD<sub>u</sub> : 6.2%<br> | |||
Crest factor: 1.34 | |||
[[Image:Fig_M08.jpg|none]] | |||
'''''Fig. M8 :''''' ''Typical voltage waveform in case of high impedance line supplying non-linear loads'' | |||
[[ru:Показатели гармоник - крест-фактор]] | [[ru:Показатели гармоник - крест-фактор]] | ||
[[zh:谐波畸变指标 - 峰值系数]] | [[zh:谐波畸变指标 - 峰值系数]] | ||
Revision as of 16:03, 18 October 2013
The crest factor is the ratio between the value of the peak current or voltage(IM or UM) and its r.m.s. value.
- For a sinusoidal signal, the crest factor is therefore equal to [math]\displaystyle{ \sqrt 2 }[/math].
- For a non-sinusoidal signal, the crest factor can be either greater than or less than [math]\displaystyle{ \sqrt 2 }[/math].
The crest factor for the current drawn by non-linear loads is commonly much higher than [math]\displaystyle{ \sqrt 2 }[/math]. It is generally between 1.5 and 2 and can even reach 5 in critical cases.
A high crest factor signals high current peaks which, when detected by protection devices, can cause nuisance tripping.
Examples:
Figure M7 represents the current absorbed by a compact fluorescent lamp.
Ir.m.s. : 0.16A
IM : 0.6A
THDi : 145%
Crest factor: 3.75
Fig. M7 : Typical current waveform of a compact fluorescent lamp
Figure M8 represents the voltage supplying non-linear loads through a high impedance line, with a typical "flat top" distorted waveform.
Vr.m.s. : 500V
VM : 670V
THDu : 6.2%
Crest factor: 1.34
Fig. M8 : Typical voltage waveform in case of high impedance line supplying non-linear loads
