RF Power Generation I
Gridded Tubes and Solid-state Amplifiers
Professor R.G. Carter
Engineering Department, Lancaster University, U.K. and
The Cockcroft Institute of Accelerator Science and Technology
Overview
• High power RF sources required for all accelerators > 20 MeV • Amplifiers are needed for control of amplitude and phase • RF power output
– 10 kW to 2 MW cw – 100 kW to 150 MW pulsed
• Frequency range
– 50 MHz to 50 GHz
• Capital and operating cost is affected by
– Lifetime cost of the amplifier – Efficiency (electricity consumption) – Gain (number of stages in the RF amplifier chain) – Size and weight (space required)
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 2
General principles
• RF systems
– RF sources extract RF power from high charge, low energy electron bunches
– RF transmission components
(couplers, windows, circulators etc.) convey the RF power from the source to the accelerator
– RF accelerating structures use the
RF power to accelerate low charge bunches to high energies
P P PRF out Heat
- RF in
- DC in
- P
- P
- RF out
- RF out
• RF sources
Efficiency
P P
P
- DC in
- RF in
- DC in
– Size must be small compared with the distance an electron moves in one RF cycle
-
-
P
RF out
Gain dB 10log
10
-
-
– Energy not extracted as RF must be disposed of as heat
P
RF in
-
-
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 3
RF Source Technologies
- • Vacuum tubes
- • Solid state
- – High electron mobility
- – Wide band-gap materials (Si,
GaAs, GaN, SiC, diamond)
– Low carrier mobility – Small size
– Large size – High voltage
– High current
• Tube types
– Low voltage
– Gridded Tubes (Tetrodes)
– Inductive output tubes (IOTs) – Klystrons
• Single Transistors
– Si LDMOS: 450 W at 860 MHz – GaN: 180W at 3.5 GHz; 80 W at
9.6 GHz
– Gyrotrons – Magnetrons (locked oscillators)
– GaAs: 65 W at 14 GHz
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 4
SOLEIL 352 MHz amplifier
•••
Output power 180 kW 726 × 315 modules in 4 towers 2 × Si LDMOS transistors per module in push-pull
••
53dB Gain Overall efficiency ~ 50%
Images courtesy of Synchrotron SOLEIL
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 5
Solid State
- Advantages
- Disadvantages
• No warm-up time • High reliability • Low voltage (<100 V) • Air cooling
• Complexity • Losses in combiners • Failed transistors must be isolated • Electrically fragile
- • High I2R losses
- • Low maintenance
- • High stability
- • Low efficiency
• Graceful degradation
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 6
Tetrode construction
Cathode
Control grid
Screen grid
Anode
Images courtesy of e2v technologies
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 7
Tetrode characteristics
n
Vg 2
Va
Ia C Vg1
2 a
• n = 1.5 to 2.5 • DC bias conditions relative to cathode
– Anode voltage positive – Screen grid positive (~ 10% Va) – Control grid negative
• Anode current depends
– Strongly on control grid voltage – Weakly on anode voltage
• In practice Anode is at earth potential
Graph courtesy of Siemens AG
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 8
Tetrode common grid connection
• Grids held at RF ground isolate input from output
• Input is coaxial • Anode resonant circuit is a reentrant coaxial cavity
• Output is capacitively or inductively coupled
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 9
Class B operation
•
Control grid bias set so that anode current is zero when no RF input
••
Conduction angle = 180° Resonant circuit makes anode voltage variation sinusoidal
2
I2 I0
V2 0.9V0
••
Va > Vg2 always Theoretical efficiency ~70%
1
0.9
P I2V2
I0V0
2
- 2
- 4
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 10
Classes of amplification
Class A
Conduction angle
Maximum theoretical efficiency
- Gain increasing
- Harmonics
increasing
- 360°
- 50%
AB B
180° – 360° 180°
50% - 78% 78%
- C
- < 180°
- 78% - 100%
• All classes apart from A must have a resonant load and are therefore narrow band amplifiers
• Class AB or B usually used for accelerators
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 11
CERN 62 kW 200 MHz amplifier
• RS 2058 CJ tetrode
– Siemens (now Thales)
• Class AB operation
– Assume Class B for illustration
• Efficiency - 64%
Photo courtesy of e2v technologies
Photo courtesy of CERN
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 12
Tetrode amplifier design
•••
Choose Va = 10 kV, Vg2 = 900 V
Choose Va = 1.5 kV when Ia = Ipk
Theoretical Class B efficiency
0.85
th
67 %
4
62
P
92.5 kW
0
0.67
88.6
I0
9.25 A
10
••
Assume Ipk = 4I0 (theoretically π I0)
Ipk 37 A
and draw the load line
Graph courtesy of Siemens AG
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 13
Calculation of performance (1)
Angle
- Va
- Ia
•
Find Va and Ia in 15° steps
- (deg) (kV)
- (A)
Va V0 V2 cos
- 0
- 1.5
1.8 2.6 4.0 5.7 7.8
10.0
37 35 30 20 8.5
3
15 30 45 60 75 90
•
Find I0 and I1 by numerical Fourier analysis
1
P V2I2
P I0V0
2
0
2
0
P
2
V2
R2
V0 = V2 = P0 =
10.0 kV
8.5 kV 96 kW
I0 = I2 =
- 9.6
- A
P
0
I2
16.2 A
••
Initial estimate of Ipk/I0 was too high Iterate for self-consistent solution
P2 = R2 =
69 kW
- 72
- %
- 524
1
- I (0.5I I
- I
- I
- I
- I
)
0
a0 a15 a30 a45 a60 a75
12
1
I (I 1.93I a0
- 1.73I
- 1.41I
- I
a45 a60
0.52I
)
2
- a15
- a30
- a75
12
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 14
Calculation of performance (2)
• Grounded grid operation
- Calculated
- Measured
10
V0 I0
- 10
- kV
A
V 80 240 320 V
1
9.6 69
9.4
P2 P1
Gain
- 62
- kW
kW dB %
I1 I2 Ig1 RF I2
2.6 14.3 72
1.8
V
1
15.4 64
R 20
1
I1
1
P V I 2.59 kW
- 1
- 1 1
2
W.Herdrich and H.P. Kindermann, “RF power amplifier for the CERN SPS operating as LEP injector”,
P
2
P
- Gain 10log10
- 14.3 dB
CERN SPS/85-32, PAC 1985
1
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 15
Tetrode input and output circuits
• Input and output circuits are coaxial
b
Z0 60ln
a
• a = inner diameter, b = outer diameter
• Characteristic impedance is very low (~ few ohms)
• Careful design of matching is essential
R 20 Xkg1 5.7
in
Rout 524 Xg 2a 20
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 16
Cooling and protection
- Anode Cooling
- Protection
•
••
Air
••••
Coolant flow
- Water
- Coolant temperature
- Tube temperature
- Vapour phase
Anode, screen and grid overcurrent
•
Anode voltage (fast)
Switch-on sequence
••
Heater voltage Grid bias
(pause)
•••
Anode voltage Screen grid voltage RF drive
Image courtesy of e2v technologies
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 17
Combining tetrode amplifiers
CERN SPS 200 MHz, 500 kW, amplifiers
Photo courtesy of CERN
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 18
Tetrode limitations
•••
Cathode current density Anode dissipation Transit time
•••
Anode length << λ0 Anode diameter RF screen grid dissipation
Thales Diacrode® reduces this
–
Va least when Ia greatest
•
Voltage breakdown
Image courtesy of Thales Electron Devices
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 19
Inductive output tube (IOT)
Differences from tetrode
• Electron flow axial
– Requires axial magnetic field to prevent beam spreading
• Anode voltage is constant
– Electron velocity is high
• Bunched beam induces current in output cavity
• Separate electron collector
– Large collection area
• Increased isolation between input and output
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 20
IOT output gap interaction
• Beam current class AB or B like a tetrode • At resonance electric field in the gap is maximum retarding when bunch is in the centre of the gap
• Effective gap voltage reduced by transit time effects
• Effective gap voltage less than ~0.9V0 to allow electrons to pass to the collector
• Theoretical efficiency ~ 70%
1
4
P I2Vg,eff 0.9I0V0
2
2
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 21
UHF IOT for TV broadcasting
Frequency Power
470 - 810 MHz 64 kW
Beam voltage Beam current Gain
32 kV 3.35 A 23 dB
- Efficiency
- 60%
Photos courtesy of e2v technologies
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 22
Examples of IOTs for accelerators
Frequency Beam voltage Beam current RF output power Efficiency
267 67
500 1300 MHz 40 3.5 90
25 1.0 16 kV
- A
- 6.0
280 70 kW
- %
- >65 62
- >22 21
- Gain
- 22
- dB
- June 2010
- CAS RF for Accelerators, Ebeltoft
- 23