class AB B and C RF power amplifier

constants:c

Parameters

frequency

f \(Hz\)

Output Power

Po \(W\)

Band width

BW \(Hz\)

PS Voltage

`V_I` \(V\)

Min DS voltage

`V_{DSmin}` \(V\)

conduction angle

`theta` \(^{\circ}\)

Output

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`

wave coefficient `gamma_1`

`gamma_1=I_m/I_I=alpha_1/alpha_0`

Amplifier class

output voltage `V_m`

`V_m=V_I-V_{DSmin}`

Load resistance R

`P_O=V_m^2/{2R}`

load current `I_m`

`I_m=V_m/R`

dc supply current `I_I`

`I_I/I_m=alpha_0/alpha_1=1/gamma_1`

max drain current `I_{DM}`

`I_{DM} alpha_1=I_m`

max drain to source voltage `V_{DSM}`

`V_{DSM}=V_I+V_m`

dc supply power `P_I`

`P_I =V_I I_I`

Quality factor `Q_L`

`Q_L=f/{BW}`

drain efficiency `eta_D`

`eta_D=P_o/P_I`

power loss in the transistor `P_D`

`P_D=P_I-P_o`

resonant inductance L

`Q_L=R/{omega_0 L}`

resonant capacitance C

`Q_L=1/(omega_0 C)//R`

choke inductance `L_f`

`X_{Lf}=omega_0 L_f=10R`

coupling capacitor `C_c`

`X_{Cc}=R/10=1/(omega_0 C_c)`