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Harmonic Resonance Frequency represents a signal or wave whose frequency is an integral multiple of the frequency of a reference signal or wave.
Formula
${ f = frac{1}{2 pi sqrt{LC}} } $
Where −
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${f}$ = Harmonic resonance frequency.
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${L}$ = inductance of the load.
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${C}$ = capacitanc of the load.
Example
Calculate the harmonic resonance frequency of a power system with the capcitance 5F, Inductance 6H and frequency 200Hz.
Solution:
Here capacitance, C is 5F. Inductance, L is 6H. Frequency, f is 200Hz. Using harmonic resonance frequency formula, let”s compute the resonance frequency as:
${ f = frac{1}{2 pi sqrt{LC}} \[7pt]
implies f = frac{1}{2 pi sqrt{6 times 5}} \[7pt]
, = frac{1}{2 times 3.14 times sqrt{30}} \[7pt]
, = frac{1}{ 6.28 times 5.4772 } \[7pt]
, = frac{1}{ 34.3968 } \[7pt]
, = 0.0291 }$
Thus harmonic resonance frequency is $ { 0.0291 }$.
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