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Measurements of temperatureon LHC thermal models
Christine Darve1, Juan Casas2, Moyses Kuchnir1
1: Fermi National Accelerator Laboratory, Batavia, IL, USA2: CERN, European Laboratory for Particle Physics, Geneva, CH
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 2
Measurements of temperatureon LHC thermal models
Z Thermal measurements on modelsZ Presentation of both projectsZ Sensors implementationZ Results
Z Use of cryogenic thermometers at Fermilab and at CERN
Z Uncertainty evaluations
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 3
Introduction to LHC thermal models
Inner Triplet heat exchanger test unit (US-IT-HXTU)y Validation of the Inner Triplet cooling scheme
ü Heat transfer based on the exchange between the two-phase saturated He IIused to extract heat loads generated in the stagnant pressurized He II bath.
ü Extreme heat loads due to the detector proximity : nominal Q’=7 W/m.
y Investigation in a linear model-based predictive controlü Reduce requirements on temperature sensor, cryogenic sys. performanceü Self-regulating process
y Related project: Small scale heat exchanger testü Material property measurements: Kapitza resistance.ü Results used to estimate the wetted area of the full-scale model.
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 4
From the LHC Inner Triplet to the Inner Triplet heatexchanger test unit
IT to Thermal modelIT to Thermal model
••Four modulesFour modules
••Magnet simulatorsMagnet simulators
••Full helium capacityFull helium capacity
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 5
Inner triplet heat exchanger test unitModules
8 cryogenic thermometers
2 heaters
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 6
Inner triplet heat exchanger test unitPiping system
Heat exchanger tube
Shield cooling pipes Sat He II supplyMagnet simulator
Pressurized He circuit
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 7
Inner triplet heat exchanger test unit
Instrumentation port flange
Feed-box----
– ----Turnaround
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 8
Inner triplet heat exchanger test unit
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 9
Thermal measurements on the US-IT-HXTU
j Why do we perform thermal measurements?
j To measure the temperature rise along the He II heat load path, for differentLHC heat load scenarios-> maximum: heat load, Tsat.
j To understand the behavior of He II (co-current two-phase flow, wetted area).j To calibrate and measure the performance of the HX tube.j To validate the theoretical model->ultimate LHC condition (472W).
ò Function of temperature measurements
ò Display the transport of the heat load from pressurized to saturated He II.ò Indicator to check the evolution towards steady-state conditions.ò Variable parameter, Tsat, for various measurements of the HX tube
performance.
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 10
Thermal measurements on the US-IT-HXTU
ñ How are they implemented ?
Glued to printed circuit board (PCB) card.
Thermometers immersed in pressurized He II bath along the HX tube (pressurized side) and magnet simulator pipes.
Thermometer wires routed through a 3 m long feedthrough from the pressurized He II bath to the room temperature.
Measurement of the saturated temperature provided from the pressure measurement.
To reduce air leaks through the instrumentation feedthrough(subatmospheric circuit).
PressurizedPressurizedHe IIHe IItemperaturetemperature
SaturatedSaturatedHe IIHe IItemperaturetemperature
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 11
Thermal measurements on the US-IT-HXTU
Pressurized He IIPressurized He II
Connector @Connector @Room temperatureRoom temperature
Outer shell of the HX
HXSaturated He IISaturated He II
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 12
Thermal measurements on the US-IT-HXTU
From JT valve
Tsat9214
TT4121 TT4151 TT5121
TT4121B TT4151B TT5121B RB
TT4221 TT4251 TT5221
TT4221B TT4251B TT5221B
Y4203
DT1
DT3
DT4
DT2
DT5DT6
DT1: from the Module thermal center, to the module end within the pressurized He II
DT2: within the connecting pipe
DT3: between connecting pipe and He II HX
DT4: within the pressurized He II side of He II HX
DT5: across the He II heat exchanger wall
DT6: due to the vapor pressure drop.Vapor V= 448 cm/sec
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 13
0
100
200
300
400
500
600
1.5 1.7 1.9 2.1Temperature [K]
X(T
c) -
X(T
w)
[(W
.cm
-2)3.
4 ]
Thermal measurements on the US-IT-HXTU
ñ Heat transfer into and through pressurized He II (DT 1 - 4)
One-dimension model In steady-state, heat flux Q’ is given by:
( ) ( ) 29.0
'
−
⋅=l
TwXTcXSQ
( )( )5.2)16.2(31520)( TeTX −⋅−−⋅=
He II
l
Tw Tc
Q
S
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 14
US-IT-HXTU- Small scale HX
z Kapitza Resistance and DT 5
Rkapitzaα2
Ckapitza S.
βe
S Ccu.
Rth=2.Rkapitza+Rcu=α(1/Tpres3)+β
Rth=(Tpres-Tsat)/Qelec
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 15
0
10
20
30
40
50
60
70
0 2 4 6 8 10Q (w att)
Tpr
es -
Tsa
t (m
K)
1.75K
1.80K
1.85K
1.90K
1.95K
2.00K
Thermal measurements on the small-scale heatexchanger test unit - results
2
4
6
8
10
12
0.12 0.14 0.16 0.18 0.20Tsat -3 (K-3)
Rth
(10
-3 K
. W-1)
#1
#2
#3
OFHC-US-IT-HXTU
Bronze (95%Cu-5% Sn)
OFHC+ HCl
#1 - OFHC #2 – OFHC + HCl #3 - BronzeCharacteristics
OD/ ID (mm) 97/86 97/86 123/101Wall thickness (mm) 0.7 0.7 0.5Corrugation depth (mm) 5 5 11Corrugation pitch (mm) 12.4 12.4 11.7Surface (cm2) for one side 416 416 978Shape of the corrugated pipe Helical Helical BellowsSurface treatment None Hydrochloric acid None
ResultsCKapitza (W ⋅ K-4 ⋅ m-2) 893 1138 565Kapitza conductance @ 1.85 K (W ⋅ K-1 ⋅ cm-2) 0.565 0.72 0.357Thermal conductivity @ 1.85 K (W ⋅ K-1 ⋅ m-1) 88 88 2.4Relative performance Ref. 27% -37%
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 16
US-IT-HXTU - Nominal Condition: 248 W
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 17
US-IT-HXTU - Ultimate Condition: 315 W
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 18
8
18
28
38
48
58
68
4 5 6 7 8 9 10 11Power applied (W/m)
T-Ts
at (m
K)
HX side @ middle of the module
HX side @connecting pipe
Magnet side @ connecting pipe
Magnet simulator pipe @ middle
US-IT-HXTU - Some results
C/C: The difference of temperature on the heat exchanger interface < 50 mK.The thermal gradient within the heat exchanger pipe is still to be measured in december at CERN.
Ultimate condition @ 315 W
P=24.1 mbar
Tsat Tsat ~ 1.90 K~ 1.90 K
P~21 mbarP~21 mbar
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 19
Thermal measurements on the US-IT-HXTU
0.0
10.0
20.0
30.0
40.0
50.0
60.0
70.0
80.0
90.0
DT1 DT2 DT3 DT4 DT5 DT6 TotalDT
Predicted Measured
Example for Tsat= 1.915 K , Q’tot= 315 W
Heat loads on the US-IT-HXTU extrapolated from the heat load in the Inner Triplet at IP5 or IP1,by Tom Peterson.
Equations:
dT/dx=-f(T) qm
=>∆T=q3L/1200
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 20
Cryostat thermal model (CTM)
z Measurements of the LHC cryostat dipole performance+ Heat loads to the actively cooled shield and to the dummy cold mass.+ Components performance:
õ Multi-Layer Insulation,õ support posts,õ beam screen,õ cryogenic thermometers.
z Conditions under investigationõ Steady-state and transient modes for the LHC conditionsõ Insulation vacuum degradation
z Adoption of an actively cooled screen @ 5-10 K (CTM3)?
Introduction to LHC thermal models
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 21
Thermal measurements on the CTM
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 22
Thermal measurements on the CTM
View of the radiation screen View of the dummy cold mass
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 23
960
MLI
Radiation
cold mass
Vacum vessel
Thermal shield
Support post
890
Carbon compositespacer
supply line 50- 75 K
5- 10 K supply line
carbon composite spacer
50-75 KReturn line
5-10 KReturn line
Simulatedcold mass
screen
Thermal measurements on the CTM
LHC accelerator cross-section CTM3 cross section
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 24
Thermal measurements on the CTM
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 25
z Performance of the thermal shield (50-75K) and radiation screen(5-10K)The temperature is measured at each extremity of the helium pipes
z Heat load to the dummy cold mass Heat load to the dummy cold mass is measured with the boil-off method
Thermal measurements on the CTM
m’ = mass-flow, ∆H = enthalpy difference
Q’ = m’· ∆H
m’ = mass-flow, L = latent heat of vaporization
Q1.9 K’ = m’ · L
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 26
Implementation of sensors on the CTM
On the cold mass
On a pipe
On the shield
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 27
Implementation of sensors on the CTM
In the MLI
Thermalization of theinstrumentation wires
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 28
Some results - CTM2
Total heat load measured:
0
10
20
30
40
50
50 70 90 110 130 150Temperature at the rear section of the Thermal Shield [K]
Q t
s [
W]
Line E
Line F
Total
@ 50-75 K / Line E+Ferror: ± 5%
@ 5-20 K / Line C+Derror: ± 4.7%
@ 1.9 Kerror: ± 2.5%
Heat inleak[W/m]
measured calculated measured calculated measured calculatedCTM1 4.78 4.58 0.23 0.24 0.18 0.19CTM2 4.32 4.12 0.48 0.33 0.16 (1) 0.12
The contribution of the feed box on the measured He in-leak at 1.9 K is estimated to 390 mW.
@5-10K@5-10K
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 29
Influence of the insulation vacuum degradation
0
10
20
30
40
50
60
70
80
90
100
1.E-03 1.E-02 1.E-01
Pressure [Pa]
CTM1
CTM2
CTM3
CTM3 - Some results
= CTM3, dummy cold mass experienced He leaks -> results difficult to interpret.
= MLI qualification on an horizontal cryostat was performed. = Choice of the shield assembly: welded to the extruded pipe
C/C: Since the cost of a radiation screen material is dominant and even if a better performancewith a 5K cryostat was measured, the LHC cryostat will only consider to wrap 10 layers of MLIaround the cold mass. No rigid radiation screen (5-10 K) will be used in the LHC accelerator.
Averaged heat loads (Watts): Insulation vacuum 7.5⋅10-5 Pa
Component Average Temperatures K 50-75 K 5-10 K 1.9 K
Supply and return boxes 0.300Thermal shield 68 43.2Radiation screen 8.7 3.1Cold-mass 1.8 0.441Support System 14.9 1.1 0.129Total CTM Cryostat 28.3 2.0 0.012
w/o actively cooled shield @5-10K
w/ partial cooled shield @5-10K
w/ actively cooled shield @5-10K
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 30
Some cryogenic thermometers used atFermilab - US-IT-HXTU
è Thermometer immersed into He II bathè Commercial sensorsè Printed circuit boardè Calibration facilityè Chebychev polynom
k Pro and cons+ Cryogen true value- Implementation- Feedthrough&Connector
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 31
Some cryogenic thermometers used atFermilab
Allen-Bradley
Cernox+copperCernox on cards
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 32
Calibration of the thermometer
z Fermilab facility
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 33
è Under vacuum: Industrial-type cryogenic thermometers with built-inheat interceptè Sensor implementationè Thermometric blocè Accessories
Copper blocsRadiation protectionThermalization foil
k Pro and cons+ Easy-to-use- Thermal anchoring
Some cryogenic thermometers used atCERN - CTM
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 34
z Layout of the cryogenic thermometer
Some cryogenic thermometers used at CERN
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 35
Some cryogenic thermometers used at CERN
// foil
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 36
Uncertainty evaluations
õõ Measurement stringMeasurement stringõ Cryogenic thermometerõ wire, conditionerõ control system and acquisitionõ calibration fit
åå Environmental factorEnvironmental factorå Thermo-cyclingå Moistureå Magnetic fieldå Irradiation
Error± 5 mK at 1.8 K
Systematic errorSystematic error•Calibration: fit
•Effect of the liquid level gauge
Statistical errorStatistical error•Stability of the bath temperature
•Stability of (Tpres-Tsat)
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 37
Overheating
Check US-IT-HXTU thermal measurements:õ Thermometers calibrated with a 0.2 µA current but used with a 1 µA.õ Implementation on the PCB
ò High resistance at low temperature (40 kΩ at 1.8 K)
ò Large dispersion of resistance (40-12 kΩ at 1.8K)
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 38
Overheating - Resistance influence
To = Temperature out of the calibration fit relative to a current of 0.2 µA used for the calibration data.
If : R=32 KΩ @ 1.8 K I=1 µ A then Error = 0.1%
If : R=12 KΩ @ 1.8 K I=1 µ A
then Error = 0.02%
Influence of the self-heating R=39kohm @1.8K, I=0.2microA
0
2
4
6
8
10
12
14
16
18
0 1 2 3 4 5 6 7 8 9 10
Current [microAmp]
Err
or
(T-T
o/T
o) [
%]
T1.5
T1.6
T1.7
T1.8
T1.9
T2
T2.1
T2.2
T2.3
T3
T4.1
T4.3
Influence of the self-heating R=12kohm @1.8K, I=0.2microA
0
1
2
3
4
5
6
7
8
0 1 2 3 4 5 6 7 8 9 10
Current [microAmp]
Err
or
(T-T
o/T
o)
[%]
T1.4
T1.5
T1.6
T1.7
T1.8
T1.9
T2
T2.1
T2.2
T2.3
T3
T4.1
T4.3
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 39
T=1.
5K
T=1.
6K
T=1.
7K
T=1.
8K
T=1.
9K
T=2K
T=2.
1K
T=2.
2K
T=2.
3K
0.5uA
10uA0
4
8
12
16
(T-T
o/T
o)
[%]
Fit = simple polynomial
T=1
.4 K
T=1
.5 K
T=1
.6 K
T=1
.7 K
T=1
.8 K
T=1
.9 K
T=2
.0 K
T=2
.1 K
T=2
.2 K
T=2
.3 K
0.5microAmp
10microAmp0
4
8
12
16
(T-T
o)/T
[%]
Fit = Chebychev polynomial 0.5microAmp
1microAmp
2microAmp
5microAmp
10microAmp
Overheating - fitting expression
T= Σ Ai·Xi
Z= log (R)
X=((Z-Zl)-(Zu-Z))/(Zu-Zl)
T=Σ Ai · COS (i· ARCCOS(X))
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 40
To=1
.4 K
To=1
.6 K
To=1
.8 K
To=2
.0 K
To=2
.2 K
To=
2.4
KTo
=2.6
KTo
=2.8
K
To=3
.0 K
To=3
.2 K
0.5 microAmp
20 microAmp0
100
200
300
400
500
600(T
-To)
[m
K]
Temperature drift vs. current
0.5 microAmp
1 microAmp
2 microAmp
5 microAmp
10 microAmp
20 microAmp
Overheating - Current influence
Calibration fit:Calibration fit:
w/ R@ 0.2 w/ R@ 0.2 microAmpmicroAmp
T=T=CherbCherb(R0.2)(R0.2)
T: R w/ 0.5- 20 microAmp
To: R w/ 0.2 microAmp
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 41
To=1
.4 K
To=1
.6 K
To=1
.8 K
To=2
.0 K
To=2
.2 K
To=
2.4
K
To=2
.6 K
To=2
.8 K
To=3
.0 K
To=3
.2 K
0.5 microAmp
5 microAmp
0
20
40
60
80
100
120
140
(T-T
o)
[mK
]
Drift of temperature vs. current
0.5 microAmp
1 microAmp
2 microAmp
5 microAmp
Overheating
Drift =1.3 Drift =1.3 mKmK
for To=1.8 Kfor To=1.8 K
I=1 I=1 microAmpmicroAmp
Ch. D. 12/05/00 Measurements of temperature on LHC thermal models 42
Conclusion
í Measurement of thermal model performancesí Temperatures rise in He II => US-IT-HXTUí Heat loads => CTM
í Improvement of techniques for measurements of temperature
í Better reliability