Odd harmonics.

134

02:51:28

Harmonics are present in distorted sinusoidal voltage/current which can be resolved into series of sinusoidal wave having multiple frequency of distorted wave's frequency. Pure sinusoidal voltage having same frequency as distorted wave is called fundamental harmonics. Odd multiple frequencies are most liable for severe distortion of fundamental wave. Here 1kHz source is fundamental wave, 3kHz is 3rd harmonics, 5kHz and 7kHz are 5th and 7th harmonics respectively.  Note the the amplitude of each gradually decreasing as their harmonics order increases. Resultant distorted wave has smaller amplitude than that of fundamental wave.
Thank you.

published 7 years ago

jason9

7 years ago

The strength of the harmonics should be the reciprocal of their order multiplied by the strength of the fundamental wave. If the strength of the fundamental wave is 10V, like shown here, then that means that the 3rd order harmonic should be 10*(1/3) = 10*0.333... = 3.33... which means that the amplitude of the 3rd harmonic should be 3.33V, not 5V. Also, the 7th harmonic should be 1.47V, not 1V, but you did get the value of the 5th harmonic right. If you want all the values to be integers, then the fundamental wave should be 105V, the 3rd harmonic 35V, the 5th harmonic 21V, and the 7th harmonic 15V. If you add a 9th harmonic, you will have to multiply each of the prior values by 3 and the 9th harmonic will be 35V. If you want to continue it even to the 11th harmonic, the multiply each of the values of the prior numbers by 11 in addition to the multiplication by 3 and the 11th harmonic will be 315V.

et_cpi

7 years ago

#jason thanks for the information. did it (decreasing formula of higher order harmonics) derived from Fourier analysis?

add comment in editor

EveryCircuit is an easy to use, highly interactive circuit simulator and schematic capture tool. Real-time circuit simulation, interactivity, and dynamic visualization make it a must have application for professionals and academia. EveryCircuit user community has collaboratively created the largest searchable library of circuit designs. EveryCircuit app runs online in popular browsers and on mobile phones and tablets, enabling you to capture design ideas and learn electronics on the go.