Statistics – Harmonic Number

Harmonic Number is the sum of the reciprocals of the first n natural numbers. It represents the phenomenon when the inductive reactance and the capacitive reactance of the power system becomes equal.


H=WrWwhere Wr=1LC−−−√and W=2πfH=WrWwhere Wr=1LCand W=2πf

Where −

·        ff = Harmonic resonance frequency.

·        LL = inductance of the load.

·        CC = capacitanc of the load.


Calculate the harmonic number of a power system with the capcitance 5F, Inductance 6H and frequency 200Hz.


Here capacitance, C is 5F. Inductance, L is 6H. Frequency, f is 200Hz. Using harmonic number formula, let’s compute the number as:


Thus harmonic number is 0.0001.

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