These pages are meant  mainly for engineering students studying in second year( Mumbai university only). If you are from some other university then confirm with your professors whether these formulae/methods are valid for your university.

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Power amplifier designing
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Design of power amplifiers

Class A amplifier
Class B amplifier

Do not write text included in square bracket

Design of class A power amplifier

Step 1: Selection of transistor


 

Power transmitted to load, PL' = PL/nt                  [nt = efficiency of transformer]
[If nt is not given assume nT = 90% or 0.9]

Q = (Pq max)/PL') = 2
[calculate Pq max]

Select transistor with Pd > 2 * Pq max
[Usually select ECN 149]
 

Step 2: Selection of operating point

Vre = Vcc/10
[calculate Vre]

Vceq = Vcc - Vre
[calculate Vceq]

Vce peak = Vceq - Vce sat
[calculate Vce peak]

Ic peak = (2 * PL')/Vce peak
[calculate Ic peak]

Icq = Ic peak + Icmin
Assume Ic min = 0
[calculate Icq]
 

Step 3: Selection of Re & Ce

Re = Vre/Icq
[calculate Re]

Pre = sqr(Vre)/Re
[Select power rating of Re > (2 * Pre). Specify power rating as multiple of 0.25 W]

Ce = 1/(2 * pi * FL * RL)
[If FL is not given assume FL = 50 Hz]

Since Ce is very high  we leave Re unbypassed
 

Step 4: Selection of R1 & R2

[If stability factor not given] assume s = 10

s = (1 + hfe max)/(1 + ((hfe max * Re )/(Rb + Re))

Find Rb[Do not standardise]

Vr2 = Vbe + (Icq * Re)
Vr1 = Vcc - Vr2

Assume Vbe = 0.6V [for Si, 0.3 for Ge if not specified]

R1/R2 = Vr1/Vr2  .............(A)
[Get R1 in terms of R2 & substitute in Rb]

Rb = R1 parallel R2 = (R1 * R2)/(R1 + R2)
Find R2
Select lower standard value to make circuit indepent of beta

Substitute in (A) to find R1
Select higher standard value so that circuit draws minimum current from supply
 

Step 5: Selection of  output transformer

RL' = Vce peak/Ic peak
[calculate RL']

RL' = (sqr(N1/N2)) * RL
[calculate  (N1/N2)]

Select audio frequency transformer with turns ratio 1:(N1/N2)
[Draw the circuit diagram with calculated values]
 

step 6: Calculation of o/p power[If required]

Max o/p power = (Vce peak * Ic peak)/2

step 7: Calculation of  efficiency

Full load efficiency, n FL = (PL' FL)/(Pi dc)
 
 

PL' FL = (Vce peak * Ic peak)/2

Pi dc = (Vcc * Icq) + (Vcc ^ 2)/(R1 + R2)
 
 

Half load efficiency, n HL = (PL' HL)/(Pi dc)

PL' HL  = PL' FL / 2

Max power dissipation = power dissipation at no signal = Pd max of transistor



 
 
 

Design of class B power amplifier

Step 1: Selection of transistor

Power transmitted to load, PL' = PL/nt                  [nt = efficiency of transformer]
[If nt is not given assume nT = 90% or 0.9]

Q = (Pq max)/PL') = 1/5
[calculate Pq max]

Select transistor with Pd > 2 * Pq max
[Usually select ECN 149]
 

Step 2: Selection of operating point

Select Vcc such that
(Vceo/2) <= Vcc <= Vceo
[select Vcc = 25 V for ECN 149]

Vre = Vcc/10
[calculate Vre]

Vceq = Vcc - Vre
[calculate Vceq]

Vce peak = Vceq - Vce sat
[calculate Vce peak]

Ic peak = (2 * PL')/Vce peak
[calculate Ic peak]

Icq = Ic peak + Icmin
Assume Ic min = 0
[calculate Icq]

Idc full wave = (2 * Idc peak)/pi

Idc half wave = Idc peak/pi

Step 3: Selection of Re & Ce

Re = Vre/Icq
[Calculate Re. Select nearest std value]

Pre = sqr(Vre)/Re
[Select power rating of Re > (2 * Pre). Specify power rating as multiple of 0.25 W]

Ce = 1/(2 * pi * FL * RL)
[If FL is not given assume FL = 50 Hz. Select higher std value]
 

Step 4: Selection of R1 & R2

[If stability factor not given] assume s = 10

s = (1 + hfe max)/(1 + ((hfe max * Re )/(Rb + Re))

Find Rb[Do not standardise]

Vr2 = Vbe + (Idc half wave * Re)

Vr1 = Vcc - Vr2

  Assume Vbe = 0.6V [for Si]

R1/R2 = Vr1/Vr2  .............(A)
[Get R1 in terms of R2 & substitute in Rb]

Rb = R1 parallel R2 = (R1 * R2)/(R1 + R2)
Find R2
Select lower standard value to make circuit indepent of beta

Substitute in (A) to find R1
Select higher standard value so that circuit draws minimum current from supply
 

Step 5: Selection of  output transformer

RL' = Vce peak/Ic peak
[calculate RL']

RL' = (sqr(N1/N2)) * RL
[calculate  (N1/N2)]

Power rating of primary  > PL'

Select audio frequency transformer with turns ratio 1:(N1/N2)
[Draw the circuit diagram with calculated values]
 

step 6: Calculation of o/p power[If required]

Max o/p power = (Vce peak * Ic peak)/2

step 7: Calculation of  efficiency

Full load efficiency, n FL = (PL' FL)/(Pi dc FW)
 
 

PL' FL = (Vce peak * Ic peak)/2

Pi dc FL = (Vcc * Idc FW) + (Vcc ^ 2)/(R1 + R2)
 
 

Half load efficiency, n HL = (PL' HL)/(Pi dc HW)

Pi dc HW = (Vcc * Idc HW) + (Vcc ^ 2)/(R1 + R2)

PL' HL  = PL' FL / 2
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Standard values