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
· 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.