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LECTURE 4. HIGH-EFFICIENCY POWER AMPLIFIER DESIGNLECTURE 4. HIGH-EFFICIENCY POWER AMPLIFIER DESIGN
4.1. Overdriven Class B4.1. Overdriven Class B
4.2. Class F circuit design4.2. Class F circuit design
4.3. Inverse Class F4.3. Inverse Class F
4.4. Class E with shunt capacitance4.4. Class E with shunt capacitance
4.5. Class E with parallel circuit4.5. Class E with parallel circuit
4.6. Class E with transmission lines4.6. Class E with transmission lines
4.7. Broadband Class E circuit design4.7. Broadband Class E circuit design
4.8. Practical high efficiency RF and microwave 4.8. Practical high efficiency RF and microwave power amplifierspower amplifiers
2
for DC current:
4.1. Overdriven Class B4.1. Overdriven Class B
0 -1 2
Is
t 1
kIs
i
1
1
1cc1 cos
sin
2
V
V
Vcc
2 0
2Vcc
t 1 -1 +1 2-1
Vcc(1+k)
v
In overdriven Class B, voltage and current waveforms have increased amplitudes with the same peak values as in conventional Class B
for fundamental voltage :
n
n
n
n
n
nVV 1
1
11
1
11ccn
2cos
sin 1
sin
sin 1
sin
2
for odd voltage components, n = 3, 5, … :
cc0 VV for DC voltage:
for fundamental current:
for odd current components, n = 3, 5, … :
2 tan
2 1
1s
0
I
I
1
1
1s1 cos
sin
I
I
n
n
n
n
n
nII 1
1
11
1
11sn
2cos
sin 1
sin
sin 1
sin
for even voltage components, n = 2, 4, … : 0 n V
3
4.1. Overdriven Class B4.1. Overdriven Class B
Out-of-band impedances :
- fundamental output power
2
11
12
s cc111 cos
sin
2
IVIV
P
2 tan
2 1
1s cc
000
IVIVP - DC output power
nRI
VZ oddfor ,
2 L
s
ccn
nZ even for , 0 n
where RL is load resistance 2 tan
2
cos sin
1
1
1
2
11
1
0
1
P
P
Collector efficiency :
1 cos
1 lim
nsi lim
sin lim
10
1
1
01
1
0 111
81%
8
2
- maximum collector efficiency for square voltage and current waveforms
Analyzing on extremum gives = 88.6% for optimum angle 1= 32.4
For
4
- fundamental current component
4.2. Class F circuit design4.2. Class F circuit design
0 2
Is
t
i
2 s
1
II
Vcc
2 0
2Vcc
t 1 -1
Vcc(1+k)
v
- fundamental voltage component when 1 0
cc1
4
VV
scc
1 IV
P - fundamental output power
scc
0 IV
P - DC output power
100% 0
1 P
P - collector efficiency
Harmonic impedance conditions:
nZ
nZI
VRZ
oddfor
even for 0
8
n
n
s
ccL1
Vcc
2 0
2Vcc
0 2
Is
t t
i v Ideal voltage and current waveforms:
5
v(t) = 2Vcc – v(t + )
4.2. Class F circuit design: quarterwave transmisssion line4.2. Class F circuit design: quarterwave transmisssion line
Cb Vcc
/4
vin
R
C0 L0
iR
x
l
0
vinc
iinc
vref
iref
iT i
v
- collector voltage
iT(t) = iT(t + ) = IRsint
i(t) = IR(sint + sint) - collector current
- transmission-line current
Assumptions for transistor:
• ideal switch:no parasitic elements
• half period is on,half period is off:50% duty cycle
Assumptions for load:
• purely sinusoidal current:ideal L0C0-circuit tuned at
fundamental
i(t) = IR sint - load current
6
4.2. Class F circuit design: quarterwave transmission line4.2. Class F circuit design: quarterwave transmission line
sinusoidal load current
collector current consisting of fundamental
and even harmonics
transmission-line current consisting of even harmonics
iR/I0
1.5
1.0
0.5
0 t,
300 240 120 60 -0.5
-1.0
-1.5
180
i/I0
3.0
2.0
1.0
0 t, 300 240 180 120 60 0 v/Vcc
1.5
1.0
0.5
0 t, 300 240 180 120 60 0
2.0
iT/I0
1.5
1.0
0.5
0 t, 300 240 180 120 60 0
rectangular collector voltage
7
For maximally flat waveforms:4.2. Class F circuit design4.2. Class F circuit design
collector current v/Vc
c
2.0
1.5
1.0
0.5
0 /2 3/2
n = 1, 3
v/Vcc
2.0
1.5
1.0
0.5
0 /2 3/2
n = 1, 3, 5
cc1 8
9 VV
cc3 8
1 VV
collector voltage
2.5
i/I0
2.0
1.5
1.0
0.5
0 /2 3/2
n = 1, 2
2.5
i/I0
2.0
1.5
1.0
0.5
0 /2 3/2
n = 1, 2, 4
01 3
4 II
02 3
1 II
Voltage harmonic components Current har-monic compo-
nents 1 1, 3 1, 3, 5 1, 3, 5, 7 1, 3, 5, …,
1 1/2 =0.500 9/16 = 0.563 75/128 = 0.586 1225/2048 = 0.598 2/ = 0.637
1, 2 2/3 = 0.667 3/4 = 0.750 25/32 = 0.781 1225/1536 = 0.798 8/3 = 0.849
1, 2, 4 32/45 = 0.711 4/5 = 0.800 5/6 = 0.833 245/288 = 0.851 128/45 = 0.905
1, 2, 4, 6 128/175 = 0.731 144/175 = 0.823 6/7 = 0.857 7/8 = 0.875 512/175 = 0.931
1, 2, 4,…, /4 = 0.785 9/32 = 0.884 75/256 = 0.920 1225/4096 = 0.940 1 = 1.000
optimum values:
optimum values:
8
4.2. Class F circuit design: second current and third voltage 4.2. Class F circuit design: second current and third voltage harmonic peakingharmonic peaking
L1
Cbypass
C2
Rout Cout
Vcc
L2
To output matching
circuit Yout
2222
1
222
outout 1
1 Im
LCLL
CLjCjY
out212out
2o
1 5
12 ,
3
5 ,
6
1CCLL
CL
, 0 9 9 1 9 1
, 0 4 1
, 0 1 1
out22022
20out1
20
222201
out22022
20out1
20
CLCLCL
LCLL
CLCLCL
0.5 1.5 2.0
S21, dB
0
10
20
30 40 1.0 f, GHz
0
Load network
Circuit parameters
Output susceptance:
Three harmonic impedance conditions:
S21 simulation (f0 = 500 MHz)
ImY1 = 0
ImY2 = ImY3 = 0
9
6 ,
2 31
1
Cbypass
Rout Cout
Vdd
To output matching
circuit
2
3
Yout
0.5 1.5 2.0
S21, dB
0
10
20
30
40 1.0 f, GHz
0
Load network
ImY1 = 0
ImYeven =
ImY3 = 0
S21 simulation (f0 = 500 MHz)
out0
12 3
1tan
3
1
CZ
Circuit parameters:
Harmonic impedance conditions:
Requires additional impedance matching at fundamental
4.2. Class F circuit design: even current and third voltage 4.2. Class F circuit design: even current and third voltage harmonic peakingharmonic peaking
10
Drain voltage and current waveforms
4.2. Class F circuit design4.2. Class F circuit design
Class F power amplifier with lumped elements
500
24 V
300
1.5 k
100 pF
3.5 pF
Pout
1.1 pF 6 pF
10 pF
25 nH 2 pF 15 nH
3.6 nH
4.5 nH
Pin
12.5 17.5 20
efficiency, %
10
80
60
20
0 15 Pin, dBm
100
40
22.5
gain, dB 22
20
12
14
16
18
1
2
1
2
0
20
40
vd, V
0 1 2 3 t, nsec
id, A
0.7
0
f0 = 500 MHz
LDMOSFET:gate length 1.25 um
gate width 7x1.44 mm
1 - inductance Q-factor = efficiency > 82%,
linear power gain > 16 dB
2 - inductance Q-factor = 30 efficiency < 71%,
linear power gain > 14 dB
Output matching
11
4.2. Class F circuit design4.2. Class F circuit design
500
24 V
300
1.5 k
Pout
4.5 pF
50 45
100 pF
2.5 pF
Pin
50 75
30 90
30 12
50 73
30 30
50 13
20
40
vd, V
0 1 2 3 t, nsec
0
1
id, A
12.5 17.5 20
efficiency, %
10
80
60
20
0 15 Pin, dBm
100
40
22.5
gain, dB 22
20
12
14
16
18
Class F power amplifier with transmission lines
f0 = 500 MHz
LDMOSFET:gate length 1.25 um
gate width 7x1.44 mm
Output power - 39 dBm or 8 W
Collector efficiency - 76%
Linear power gain > 16 dB
T-matching circuit for output impedance transformation
Drain voltage and current waveforms
Output matching
12
Concept of inverse Class F mode was introduced for low voltage power amplifiers designed for monolithic applications (less collector current)
4.3. Inverse Class F4.3. Inverse Class F
- fundamental current
- fundamental voltage
0s
1 IV
P - fundamental output power
0s
0cc0 IV
IVP - DC output power
100% 0
1 P
P - ideal collector efficiency
Harmonic impedance conditions:
I0
2 0
2I0
t
i
0 2
Vs
t
v
ccs
1 2
2
VV
V
0
1
4
II
nZ
nZI
VRZ
even for
oddfor 0 8
n
n
0
sL1
Dual to conventional Class F with mutually interchanged
current and voltage waveforms
13
Optimum load resistances for different classes
4.3. Inverse Class F4.3. Inverse Class F
(B)L
(F)L
2
1
cc)invF(L
2
8
2 RR
I
VR
(B)L
1
cc)F(L
4
4 R
I
VR
1
cc)B(L I
VR
Load resistance in inverse Class F :
Load resistance in Class F :
Load resistance in Class B :
Load resistance in inverse Class F is
the highest(1.6 times larger than
in Class B)
Less impedance transformation ratio and easier matching
procedure
14
4.3. Inverse Class F: second current and third voltage 4.3. Inverse Class F: second current and third voltage harmonic peakingharmonic peaking
1
Cbypass
Rout Cout
Vdd
To output matching
circuit
2
3
4 ,
3 31
0.5 1.5 2.0
S21, dB
0
10
20
30
40 1.0 f, GHz
0
ImY1 = 0
ImY2 = 0
ImY3 =
S21 simulation (f0 = 500 MHz)
Harmonic impedance conditions:
Load network
Circuit parameters:
Requires additional impedance matching at fundamental
1
out 01
23
1 2 tan
2
1 CZ
15
4.3. Inverse Class F4.3. Inverse Class F
500
24 V
300
1.5 k
Pout
6 pF
50 45
100 pF
2.5 pF
Pin
50 75
30 60
30 44
50 63
50 45
50 22
0
20
40
60
vd, V
0 1 2 3 t, nsec -20
1.4
2.1
0.7
0
-0.7
id, A
12.5 17.5 20
efficiency, %
10
80
60
20
0 15 Pin, dBm
100
40
22.5
gain, dB
22
20
12
14
16
18
Inverse Class F power amplifier with transmission lines
f0 = 500 MHzDrain voltage and current waveforms
LDMOSFET:gate length 1.25 um
gate width 7x1.44 mm
Output power - 39 dBm or 8 W
Collector efficiency - 71%
Linear power gain > 16 dB
T-matching circuit for output impedance transformation
Output matching
16
500
24 V
300
1.5 k
Pout
9 pF
50 63
100 pF
2 pF
Pin
30 54
30 65
30 62
50 45
500
24 V
300
1.5 k
Pout 9 pF
50 63
100 pF
2 pF
Pin
30 54
30 60
30 62
50 45
50 83
4.3. Inverse Class F4.3. Inverse Class F
Inverse Class F power amplifier with transmission lines
f0 = 500 MHz
Output matching
Load network with output matching
5 15 20
efficiency, %
0
80
60
20
0 10 Pin, dBm
100
40
25
gain, dB
22
20
12
14
16
18
0
20
40
60
vd, V
0 1 2 3 t, nsec -20
4
6
2
0
-2
id, A
17
4.4. Class E with shunt capacitance4.4. Class E with shunt capacitance
RFC R
L C0
C
Vcc Vbe
vb
L0 In Class E power amplifiers, transistor operates as on-to-off
switch and ideal shapes of current and voltage waveforms do not
overlap simultaneously resulting in 100% efficiency
Unlike Class F power amplifiers analyzed in frequency domain as their voltage and current waveforms contain either in-phase or out-of-phase
harmonics, Class E power amplifiers are analyzed in time domain as their current and voltage waveforms contain harmonics having specified
different phase delays depending on load network configuration
Basic circuit of Class E power amplifier with shunt capacitance consists of series inductance L, capacitor C shunting transistor, series fundamentally
tuned L0C0 resonant circuit, RF choke to supply DC current and load R
Shunt capacitor C can represent intrinsic device output capacitance and external circuit capacitance
Active device is considered as ideal switch to provide instantaneous device switching between its on-state and off-state operation conditions
18
• transistor has zero saturation voltage, zero on-resistance, infinite off-resistance and its switching action is instantaneous and lossless
4.4. Class E with shunt capacitance4.4. Class E with shunt capacitance
R C
iC iR i I0
RFC L
v
Vcc
C0 L0
Idealized assumptions for analysis:
• total shunt capacitance is assumed to be linear
• RF choke allows only DC current and has no resistance
• loaded quality factor QL of series fundamentally tuned resonant L0C0 -circuit is infinite to provide pure sinusoidal current flowing into load
• reactive elements in load network are lossless
• for optimum operation 50% duty cycle is used
0 2
ttv
0
2
ttd
tdv
sin RR tIti
Optimum voltage conditions across switch:
- sinusoidal current flowing into load
19
4.4. Class E with shunt capacitance4.4. Class E with shunt capacitance
R C
iC iR i I0
RFC L
v
Vcc
C0 L0
- switch is on
0 2
ttv
0
2
ttd
tdv
Optimum voltage conditions across switch:
0 C
td
tdvCti
0 t
tIIti sin R 0or using initial condition 0 0 i
sin R 0 II when sin sin R tIti
2 t - switch is off 0 ti tIItiС sin R 0
t
ttC
Itdti
Ctv
sin cos cos 1
RС
482.32 2
tan 1
From first optimum condition:
sin cos2
2
3
0
ttt
C
Itv
20
4.4. Class E with shunt capacitance4.4. Class E with shunt capacitance
Optimum circuit parameters :
-1.5
-1
-0.5
0
0.5
1
1.5
60 120 180 240 300
iR/I0
t
0
0.5
1
1.5
2
2.5
0 60 120 180 240 300
i/I0
t
0 0.5
1 1.5
2 2.5
3 3.5
0 60 120 180 240 300
v/Vcc
t
R
L 1.1525
RC
1
.18360
out
2cc0.5768
P
VR
CRR
LCR
R
L
1tan tan 11
R C V1
L I1 IR
- series inductance
- shunt capacitance
- load resistance
Optimum phase angle at fundamental seen by switch :
Load current
Collector voltage
Collector current
21
4.4. Class E with shunt capacitance4.4. Class E with shunt capacitance
Power loss due to non-zero saturation resistance
R C
RFC L
Vcc
C0 L0
R C
RFC L
Vcc
C0 L0
rsat
i(2)
1
2
i
2 +1
a
R
r
V
PrP sat
2cc
2outsat
sat 3 3
8
12
2a
a
P
20or 35.0 a where
Non-ideal switch
For nonlinear capacitances represented by abrupt
junction collector capacitance with = 0.5,
peak collector voltage increases by 20%
Power loss due to finite switching time
Nonlinear capacitance
Only 1%
22
• basic circuit of Class E power amplifier with parallel circuit consists of parallel inductance L supplying also DC current, parallel capacitor C shunting
transistor, series fundamentally tuned L0C0 resonant circuit and load R
• shunt capacitor C can represent intrinsic device output capacitance and external circuit capacitance
• active device is considered as ideal switch to provide instantaneous device switching between its on-state and off-state operation conditions
4.5. Class E with parallel circuit4.5. Class E with parallel circuit
R L C
Vcc vb
C0 L0
0 2
ttv
0
2
ttd
tdv
Optimum voltage conditions across
switch:
sin RR tIti - sinusoidal current in load
23
- switch is on
0 2
ttv
0
2
ttd
tdv
Optimum voltage conditions across switch:
0 C
td
tdvCti
0 t
2 t - switch is off 0 ti
under initial conditions
R C
iC iR
i
L v
Vcc
iL
L0 C0
0 Lcc tvVtv
sin sin Rcc
R L tItL
Vtititi
tititi RLC
sin 1
RL cc tIitdtvVLtd
tdvC
t
0 v and sin R
ccL I
L
Vi
4.5. Class E with parallel circuit4.5. Class E with parallel circuit
and
24
- second-order differential equation
where
To define three unknown parameters q, and p, two optimum conditions and third equation for DC Fourier component are applied
resulting to system of three algebraic equations:
4.5. Class E with parallel circuit4.5. Class E with parallel circuit
0 cos Rcc2
22
tLIVtvtd
tvdLC
cos
1 1 sin cos
2
2
2 1cc
tq
pqtqCtqC
V
tv
,/1 LCq
2
0
cc 2
1 tdtvV
412.1 q 5.1551 .211 p
and coefficients C1 and C2 are defined from initial conditionscc
R V
LIp
0 2
ttv
0
2
ttd
tdv
25
-1
0
1
120 t
iR/I0
240
-1
0
1
2.5
180
t
iC/I0
R C V1 L
I1
IX
IR
VR
244.34 tan
R
X1
I
I
0.732 R
L
RC
685.0
out
2cc 1.365
P
VR
4.5. Class E with parallel circuit4.5. Class E with parallel circuit
0
1
2.5
180 t
i/I0
0
2
3.5
180 t
v/Vcc
-0.5 0
1.5
3
180
t
iL/I0
Optimum circuit parameters :
- parallel inductance
- parallel capacitance
- load resistance
Optimum phase angle at fundamental seen by switch :
Load current
Collector voltage
Collector current
Current through capacitance
Current through inductance
26
4.6. Class E with transmission lines: approximation4.6. Class E with transmission lines: approximation
49.052 tan 1 net1 jRZ
2
2 0 t
v/Vcc
3
1
3 4
RL
RFC
Vcc
Cb MESFET output l1
l2 Cout S
Znet
RL
RFC
Vcc
Cb Bipolar output l1 l2
Cout
S
90 @ 2.7 GHz
90 @ 1.8 GHz
Optimum impedance at fundamental seen by device :
Two-harmonic collector voltage approximation
• electrical lengths of transmission lines l1 and l2 should be of 45° to
provide open circuit seen by device at second harmonic
• their characteristic impedances are chosen to provide optimum inductive impedance seen by
device at fundamental
• for three harmonic approximation, additional open circuit transmission line stub
with 90-degree electrical length at third harmonic is required
( 1.5 GHz, 1.5 W, 90% )
27
Transmission-line Class E power amplifierwith parallel circuit
ωL θZ tan0
34.244 tan 1 / net1 jRZ
0.732 tan0Z
Rθ
C
Znet
TL
R TL
C
Vcc
vin
C0 L0
Cb
filter
R
C
Znet
TL
Parallel inductance is replaced by transmission line providing optimum inductive reactance at fundamental :
Optimum impedance at fundamental seen by device :
Relationship between optimum transmission line
and load parameters :
0.732 R
L whereImpedance seen by device at fundamental
Impedance seen by device at harmonics
4.6. Class E with transmission lines: approximation4.6. Class E with transmission lines: approximation
28
Znet(0)
Znet(20)
Znet(30)
0
1
2
0.00
0.2 0.4 0.6 0.8 1.0 t, nsec
vc/Vcc
3
-1
0
1
0.00
0.2 0.4 0.6 0.8 1.0 t, nsec
ic, A
2
3
on off on
30 , 8
Cbypass
Rout Cout
3.5 V
5 pF 4 pF 50
50 12
50 , 16 10 pF
Znet
Transmission-line Class E power amplifier with parallel circuit :
example of load network of DCS1800 handset HBT power amplifier
Collector voltage
Collector current
Current flowing through collector
capacitance
• parameters of parallel transmission line is chosen to realize optimum inductive impedance at fundamental
• output matching circuit consisting of series microstrip line with two
parallel capacitances should provide capacitive reactances at second and
third harmonics
4.6. Class E with transmission lines: approximation4.6. Class E with transmission lines: approximation
29
4.6. Class E with transmission lines: design example4.6. Class E with transmission lines: design example
1.71-1.98 GHz handset InGaP/GaAs HBT power amplifier:two-stage MMIC designed in 2001
Pout
3.5 V
Pin
Vb1
3.5 V
Bias circuit
Vb2
Bias circuit
Short mictostrip
line: 15
Shunt inductance: bondwire
Short mictostrip
line: 15
DCS1800/PCS1900:
Pout 30 dBm PAE 51 %
WCDMA:Pout = 27 dBm
ACPR = -37 dBc PAE = 38 %
3x3mmpackage
30
4.6. Class E with transmission lines: design example4.6. Class E with transmission lines: design example
28 V Vg
Z0 = 50 = 25
Z0 = 50 = 40
Pout
W = 281.44 mm L = 1.25 m
Pin = 1 W Z0 = 50 = 30
16 pF
16 pF
1 k
9 pF
9 pF
Bandwidth: 480-520 MHz
Output power: 20 W
Power gain: 15 dB
PAE: 67%
LDMOS die
Input Gate bias Output Drain supply
15 mm
30 mm
28 V single-stage LDMOSFET power amplifier module
31
0 2
ttv
0
2
ttd
tdv
Optimum voltage conditions across switch:
R
/4
C
Vcc
v
C0 L0
L
i
iC
iR iT
iL
Cb
vT
0 sin 2
RC
2
2C
2
tItiq
td
tid - second-order differential equation
RtC 2 iti
cos Rcc
t
C IL
V
td
tdi
boundary conditions:
• sinusoidal load current
• 50% duty cycle
649.1 q 40.8- .3021 p
LCq /1 cc
R V
LIp
4.6. Class E with quarterwave transmission line4.6. Class E with quarterwave transmission line
32
4.6. Class E with quarterwave transmission line4.6. Class E with quarterwave transmission line
1.349 R
L
RC
2725.0
out
2cc 0.465
P
VR
Optimum circuit parameters :
- series inductance
- shunt capacitance
- load resistance
Load current
Collector voltage
Collector current
Current through capacitance
Current through transmission line
0
1.5
2.5
60 180 300 t,
i/I0
-2.0
-1.0
0
1.0
2.0
60 180 300
t,
iR/I0
0
1.5
3.5
60 180 300
v/Vc
c
t,
-1.5
0
1.5
2.5
60 180 300
t,
iC/I0
0
1.0
2.0
60 180 300 t,
iT/I0
33
Optimum impedances at fundamental and harmonics for different Class E load networks
4.6. Class E with quarterwave transmission line4.6. Class E with quarterwave transmission line
Class E with shunt capacitance
Class E with parallel circuit
Class E with quarterwave transmission line
f0 (fundamental)
Class E load network 2nf0
(even harmonics) (2n+1)f0
(odd harmonics)
C
L
R
C
L
R
C L R
C C
C L C L
C L C
34
Input load network admittance
4.7. Broadband Class E circuit design4.7. Broadband Class E circuit design
Rout C L R
C0 L0
Zin
Device
output
0
2 1
Xin
0
in
1
1
LjRLjCjY
1 2
20
000 /1 CL
0
Im
0
d
Yd in
0 2
1
20
2
R
L
LC
1.026 0 R
L
02
0 1/ LC
Reactance compensation load network
Reactance compensation principle
1 - impedance provided by series
L0C0 resonant circuit
2 - impedance provided by parallel LC resonant circuit
• summation of reactances with opposite slopes results in constant load phase over broad frequency range
To maximize bandwidth:
Optimum circuit parameters using equations for inductance L and capacitance C in Class E mode
35
4.7. Broadband Class E circuit design4.7. Broadband Class E circuit design
0 00
3
3
d
Bd
d
dB
Rout C L R
C0 L0
Yin
Device
output C1 L1
0
2 1
2
02
12
R
LRC
LC
0
2 8
1
4
2100
212
102
20
21
2
R
RCLLRCCL
R
LRC
L
1 5
2 0
R
L
020
1
LC
2
5 3
20
1
R
LC
121
1
CL
120 160 180
, degree
100
40
35
140 f, MHz 30
1 2
Double reactance compensation load network To maximize bandwidth:
Optimum circuit parameters using equations for inductance L and capacitance C in Class E mode
Load network phase angle
1 - single reactance compensation load network
2 - double reactance compensation load network
36
4.7. Broadband Class E circuit design4.7. Broadband Class E circuit design
20 nH
28 V
50
1.5 k 10 nF
20 pF Pout
10 pF 10 pF
10 nF
50 nH 1 nF 64 nH
62 nH
Pin 110 nH 10 pF
300
120 160 180
efficiency, %
100
74
72
70
68 140 f, MHz
76
gain, dB
9.5
10.0
10.5
1
2
20
400
60
80
vd, V
0 3 6 9 t, nsec 0
1.0
1.5
0.5
0
-0.5
id, A
Broadband Class E power amplifier with double reactance compensation
f0 = 120…180 MHz
Drain voltage and current waveforms
LDMOSFET:gate length 1.25 um
gate width 7x1.44 mm
1 - drain efficiency > 71%
2 - power gain > 9.5 dB
Input power - 1 W
Input VSWR < 1.4
Gain flatness 0.3
Pin = 1 W
37
Typical bipolar RF Class F power amplifier
• zero-volt Class C biasing using RF choke
4.8. Practical high efficiency RF and microwave power amplifiers4.8. Practical high efficiency RF and microwave power amplifiers
Vcc
/4
Pout
C1
Pin
L2 L4
L3 C2
C4
C3
Cb
• T-type input and output matching circuits with parallel capacitance
• quarterwave transmission line in
collector to suppress even harmonics
• high-Q series LC circuit to provide high impedance conditions for harmonics
Up to 90% collector efficiency for 10 W at 250 MHz
38
4.8. Practical high efficiency RF and microwave power amplifiers4.8. Practical high efficiency RF and microwave power amplifiers
Pin 50
R1
l1 Pout 50
Cb Cb
Vg Vdd
C2
L1
l2
C4
C5
ZS2 ZL2
Harmonic controlled MESFET microwave Class F power amplifier
• Class AB biasing with small quiescent current
• T-type input and output matching
circuits with parallel capacitance
• using second harmonic controlled circuits with series
50-ohm microstrip line and capacitance each at device
input and output
74% power-added efficiency for 1.4 W at 930 MHz
Input second-harmonic termination circuit is required to provide input quasi-square voltage waveform minimizing device switching time
39
High power LDMOSFET RF Class E power amplifier
• Class B with zero quiescent current
• L-type output transformer to match optimum 1.5-ohm
output impedance to 50-ohm load
• series inductance and ferrite 4:1 transformer is required to match
device input impedance
70% drain efficiency for 54 W at 144 MHz
Pin
12 nH 24 nH
Pout 50
120 pF
55 pF
MRF183
100 nH
20 V
4:1
100 pF
• required value of Class E shunt capacitance is provided by device
intrinsic 38-pF capacitance and external 55-pF capacitance
• quality factor of resonant circuit was chosen to be sufficiently low ( 5 ) to provide some
frequency bandwidth operation and to reduce sensitivity to resonant circuit parameters
4.8. Practical high efficiency RF and microwave power amplifiers4.8. Practical high efficiency RF and microwave power amplifiers
40
Low voltage fully integrated MESFET Class E power amplifier
4.8. Practical high efficiency RF and microwave power amplifiers4.8. Practical high efficiency RF and microwave power amplifiers
• Class AB with small quiescent current
• Class F interstage harmonic controlled circuit using two LC
resonant circuits tuned on fundamental and third harmonic
to approximate square-wave driving signal
50% power-added efficiency for 24 dBm within 800-870 MHz
• Class E load network with optimum series inductance and shunt capacitance
Pin
Pout
2.5 V
3.7 nH
50
5 nH
10 pF
1.2 nH
3.9 nH
1.5 pF
7.9 pF
3.7 nH
3.1 pF 6.2 nH 8.1 pF
7.7 pF 3.7 nH 40 pF
-0.7 V -1 V
10 k 50
40 pF 9.4 nH
• T-type output matching circuit for impedance transformation to 50-ohm load
41
225-400 MHz 28 V 20 W LDMOSFET Class AB power amplifier: simulations
4.8. Practical high efficiency RF and microwave power amplifiers4.8. Practical high efficiency RF and microwave power amplifiers
Pin = 1 W
75
28 V
2.5 k 10 k 100 pF
Z0 = 30 = 69
Z0 = 50 = 50
Z0 = 30 = 41
30 pF 33 pF
Pout
8 pF45 pF
75 pF
Z0 = 30 = 33
20 nH
100 pF
W = 281.44 mmL = 1.25 m
gm = 0.6 A/VfT = 4.5 GHz
Stability
Power gain Power-added efficiency
60%
70%14 dB
12 dB
225 MHz 400 MHz400 MHz225 MHz