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=12πLC√f=12πLC

Where −

·        ff = Harmonic resonance frequency.

·        LL = inductance of the load.

·        CC = 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=12πLC√⟹f=12π6×5√=12×3.14×30√=16.28×5.4772=134.3968=0.0291f=12πLC⟹f=12π6×5=12×3.14×30=16.28×5.4772=134.3968=0.0291

Thus harmonic resonance frequency is 0.0291