It is the sum of the reciprocals of the first n natural numbers. This is a phenomenon which occurs when the inductive reactance and the capacitive reactance of the power system become equal.
It is a signal or wave whose frequency is an integral multiple of the frequency of some reference signal or wave.
Calculate the harmonic number and harmonic resonance frequency for the power system with the capcitance 5F, Inductance 6H and frequency 200Hz.
Capacitance = 5F Inductance = 6H Frequency = 200Hz
Harmonic number and resonance frequency
Substitute the values in harmonic number formula
| Harmonic number | wr / w |
| w | 2 x 3.14 x 200 |
| w | = 1256 |
| wr | = 1 / √( 6 x 5 ) |
| wr | = 0.18257 |
| Harmonic number | = 0.18257 / 1256 |
| = 0.0001 |
Substitute the values in harmonic resonance frequency formula f = 1 / 2π x √(LC) f = 1 / (2 x 3.14) x (√6 x 5) f = 1 / (6.28 x 5.4772) f = 1 / 34.3968 f = 0.0291 Hz
Learn how to calculate Harmonic number and resonance frequency in this tutorial, given with the definition, formula and example.
