The fourier Cosine seriers
This tool to calculate the Fourier cosine series of cosine pluses. It is very useful for the class C power amplifiers.
constants:c
Parameters
conduction angle
`theta`
\(^{\circ}\)
frequency
f
\(Hz\)
Output
conduction time `t_d`
`theta=omega t=2 pi f t`
dc coefficient `alpha_0`
`alpha_0=1/(2 pi)int_{-theta}^{theta} (cos phi-cos theta)/(1-cos theta )d phi`
fundamental coefficient `alpha_1`
`alpha_1=1/(pi)int_{-theta}^{theta} (cos phi-cos theta)/(1-cos theta)cos phi d phi`
2nd harmonic `alpha_2`
`alpha_2=1/(pi)int_{-theta}^{theta} (cos phi-cos theta)/(1-cos theta)cos 2 phi d phi`
3rd harmonic `alpha_3`
`alpha_3=1/(pi)int_{-theta}^{theta} (cos phi-cos theta)/(1-cos theta)cos 3 phi d phi`
4th harmonic `alpha_4`
`alpha_4=1/(pi)int_{-theta}^{theta} (cos phi-cos theta)/(1-cos theta)cos 4 phi d phi`
wave coefficient `g_1`
`g_1=alpha_1/alpha_0`
Efficiency `eta`
`eta=1/2 g_1`