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Fundamentals of Cryogenic and Module Engineering Bernd Petersen DESY Cryogenic Group MKS Hamburg, Germany Some with regard to SRF Technology

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Page 1: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Fundamentals of Cryogenicand Module Engineering

Bernd PetersenDESY Cryogenic Group MKS

Hamburg, Germany

Some

with regard to SRF Technology

Page 2: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Overview

• First part: Some theory• Second part: More practical aspects

(cryomodule design considerations)

TooToo muchmuch itemsitems…….. and still .. and still incompleteincomplete……....

ButBut letlet‘‘ss seesee howhow far far wewe cancan proceedproceed………………

Page 3: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

My sources:

• LINDEKRYOTECHNIK AG Switzerland, H.Herzog• AERZEN Compressors Germany• AIR LIQUIDE France• WEKA Valves Switzerland• VDI-Seminars Germany• AD-Pressure-Vessel-Code• ASME Code• My colleagues from INFN, FNAL, Cornell-University, J-

LAB, KEK, BESSY, DESY and Steve van Sciver• others

Page 4: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

First part: tutorial objectivesafter this part, we should remember:

• The meaning of ‚cryogeniccryogenic‘• Carnot refrigerator efficiency• ‚COPCOP‘ of a refrigerator• Some Helium refrigerator cycles• Some ‚quantum properties‘ of matter at low

temperatures• Some useful Helium II properties• Some typical cooling cycles• Some fundamentals of thermal insulation

Page 5: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Cryogenic FundamentalsWhy is ‚Cryogenic‘ separated from ‚usual‘ cooling engineering ?

Use of ‚conventional‘ superconductors like Nb requires cooling

at liquid helium temperatures

Due to basic thermodynamic laws, the efficiency of refrigerators is quite low at these temperatures (‚Carnot cycle‘) – the cooling is very expensive !

-> excellent thermal insulation is required

-> refrigerators should work very efficient to come closer to the Carnot cycle

-> we have to deal with ‚quantum properties‘ of matter at these temperatures:

decrease of specific heat, heat transfer, superconductivity, superfluidity……

-> helium is the only coolant ( low heat of vaporization, leak tightness, purification techniques….)

-> careful engineering is needed: choice of materials, welding procedures, quality control, pressure vessel code requirements……..

Page 6: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Definition: ‚CRYOGENIC‘

Traditional (you can find in textbooks) : T < 120 K

[My personal view: T < 77 K ( LN2 cooling is no ‚real‘ cryogenic)]

Physicist view : temperatures were characteristic quantum states of matter dominate ( Cp -> 0, Helium II, conventional superconductivity…..)

HERE: The engineering, which is required to specify, design, construct and operate cooling systems and cryostats for superconducting RF cavities at liquid Helium temperatures.

Page 7: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Basic laws of thermodynamics

1. Energy conservation

2. Entropy can never decrease spontaneously in a closed system: 0 ≤ Δ S - corresponds to

‚‚TheThe CarnotCarnot CycleCycle isis thethe mostmost efficientefficient cyclecycle thatthatexistexist‘‘

3. S -> 0 for T -> 0 for an ideal crystal

correspondscorresponds to to CpCp --> 0> 0(Engineers forget zero-point energy)

Page 8: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Carnot Refrigeration Cycle

Q LOW = T 1 ( S 2 – S 1 )

Q HIGH =T 2 ( S 2 – S 1 )

Cryo LoadW IN

W OUT

1

23

4 Q LOW

W = W IN – W OUT

Entropy S

T

1

23

4

COP = Coefficient of Performance = 1/ η Carnot

η Carnot =Useful Refrigeration

Work Input=

Q LOW

Q HIGH - Q LOW =

T 1

T 2 – T 1

HEX T2

T1

S2S1

Page 9: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Sources of Irreversibility

Carnot Cycle(B.Ziegler, LINDE)

Page 10: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Some Refrigerator COPs

3320740 K

36220795 K

178701492 K

% CarnotXFEL-SpecREAL WORLD

Carnot 1/ηIDEAL

WORLD

RefrigerationTemperature

1 W useful refrigeration at 2 K = 870 W Primary Power !!!

Page 11: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Coefficient of PerformanceCOP vs T

0200400600800

10001200

0 10 20 30 40

Temperature [K]

CO

P

COP at Low T

0200400600800

10001200

1.5 1.7 1.9 2.1

Temperature [K]

CO

P

measured LHC value at 1.8 K

COPreal=1/( K * η CARNOT)

η CARNOT = T/(300 -T)

K= 0.176 ( from latest LHC measurements at 1.8 K)

TMR

JLab

Page 12: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Why do we care about COPs ?

Cooling at liquid helium temperatures T < 5 K is veryexpensive !

Large SRF facilities (JLAB,SNS, ERLs, XFEL,ILC…..) need Megawatts of primary power supply.

Excellent thermal insulation is mandatory !

Already at about T> 40 K the situation is muchmore relaxed !

-> Direct heat loads as much as possible to temperature levels above 40 K ( Radiation, HOM-loads, solid state thermal conduction…..)

Page 13: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Simple LINDE cycle

load

HEX

JT

IdealIdeal Joule-Thomson Expansion = Isenthalpic Expansion Δ H=0 Joule-Thomson

Valve

Heat Exchanger

Compressor

S

H

Some Helium Refrigerator Cycles

Will Will thisthis workworkforfor Helium ?Helium ?

Page 14: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Joule-Thomson Expansion: Inversion Curve

= 40 K for HELIUM

cooling

H = const

Page 15: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Simple Claudet Cycle

load

HEX

HEX

HEX

JT

Expansion

Machine

(Turbine)

S

H

IdealIdeal Turbine Expansion = Isentropic Expansion Δ S=0

Some Helium Refrigerator Cycles

Page 16: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Simple Collins Cycle

load

HEX

HEX

HEX

JT

Expansion

Machine

(Turbine)

LN2

Some Helium Refrigerator Cycles

Page 17: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Simplified 4.5 K Helium Refrigerator + Shield Cooling

4.5 K load

HEX

HEX

HEX

JT

40/80 K load

Some Helium Refrigerator Cycles

Page 18: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

EXAMPLE:

HERA Cryo Plant

T-s Diagramm

of cryogenic processSource:

Page 19: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Example: HERA Cryo Plant

Page 20: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Inside HERA Cold Boxes

Page 21: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Cryogenic Turboexpander

Source: LINDEKRYOTECHNIK AG

Page 22: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Screw-Compressors

Source:

AERZEN

Page 23: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

HERA-Screw Compressors

LP + MP HP

Page 24: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

‚Choice of operation temperaturefor a sc cavity‘

Module 6 CMTBMeas Qo/Eacc average gradient 10Hz 500/800us

Status:13-Mar-07 Esch/Kos/Lil/Lan MKS

1.00E+10

1.50E+10

2.00E+10

2.50E+10

3.00E+10

0 5 10 15 20 25 30 35Eacc [MV/m]

Qo

2.0 K

1.8 K

1.6 K

Eacc[MV/m]

Qo

Qo versus Eacc measurement for a complete TTF-cryomodule type III

(similar to XFEL-prototype)

(Courtesy of R.Lange et al. DESY MKS)

Page 25: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Simplified 2 K Helium Refrigerator + Shield Cooling

4.5 K load

HEX

HEX

HEX

JT

40/80 K load

P cc out T cc out

Cold Compressors

P cc in T cc in

T bath = f ( P bath )

P bath

PrimaryPrimary PowerPower

HEXJT

JTsubcooler

2 K load

Page 26: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

The 20-year old HERA cryogenic plant will be up-gradedto the 2 K- XFEL-cryogenic plant

2 HERA –Cold-Boxes modifiedand operated in parallel

2K Box incl. Cold compressors added

Source: LINDE KRYOTECHNIK AG

Page 27: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Options to Produce Temperatures below 4.4 K, i. e. Evaporation of Helium at Reduced Pressures

A B C DOnly the heat of evaporation of thehelium is utilized.

The low pressure streamis warmed up in a heatexchanger inside the

refrigerator cold box.

The cold low pressurestream is precompressedby a coldcompressor.

The precompression isrealized by severalstages of coldcompression.

EfficiencyEfficiency --> > --> > -->>

Page 28: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Option A example:warm helium compressors for FLASH-

linac/TTF supply at DESY4 rotary vane pumps + 3 stages of roots blowers10 g/s helium flow compression: 10 mbar -> 1.05 bar( two identical sets of compressors for linac and TTF)

Page 29: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Option B: use of heat exchangerExample: FLASH linac at DESY

External low pressure heat exchanger ( IHEP,Russia)counter-flow heat exchanger:

3,5 K / 31 mbar -> 280 K / 29 mbar7,5 K / 12 bar <- 300 K / 12 bar

Page 30: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Option C/DExample: TESLA Model Refrigerator

• layout by TU-Dresden

• advice from CERN

• discussion with industry

– component number and size, flow rates, power consumption

• flow scheme

• 8 screw compressors

• 9 turbines

• 3 cold compressors

5 - 8 KShield

40 - 80 KShield

2 K Load

Page 31: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Example of a cold compressorwith active magnetic bearingsused at Tore Supra, CEBAF and Oak Ridge

Source: Air Liquide

Page 32: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

The four-stage LHC cold compressors1st stage

Cold Compressor Cartridges of 2.4 kW @ 1.8 K Refrigeration Units

IHI-LindeCold compressor impeller

Page 33: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Development of the Efficiency of Cold Compressors

0

10

20

30

40

50

60

70

80

1985 1993 2000Year of construction

Isen

trop

ic e

ffici

ency

[%]

Tore Supra

CEBAF

LHC

12

12'is HH

HHη−−=

Tem

pera

ture

(T)

Entropy (s)

P1

P2

1

2

2'

Page 34: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

‚Quantum Properties‘ of Matter at low T

Many physical effects can be characterized by a typical ExcitationEnergy ΔE

The probability of excitation is about ~ EXP ( - ΔE / kB T)

For T -> ∞ all states are excited.

For T -> 0 condensation in the ground state

ΔE = binding energy -> condensation of matter , liquifaction of gases

ΔE = h ω phonons in solids -> specific heat, thermal conductivity

ΔE = superconducting energy gap -> superconductivity

ΔE = band gap of semiconductors -> electrical resistance

Other effects are not disturbed by thermal energy at low T like:

Helium II phenomena (Bose condensation), Kapitza-Effect,…

Page 35: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Measurement of the superconducting surface resistance at 3 GHz

Nb/Cu : reduction of Rsby nearly 6 orders of magnitude

That‘s why we have this SRF workshop…..

Page 36: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Quantum Properties of Matter at Low TemperaturesSpecific Heat of Solids

Page 37: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Thermal conductivity of copperThermal conductivity

Glas fiber re-inforced epoxid

Thermal Conductivity of Solids at Cryogenic Temperatures

Page 38: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Thermal contraction of solids

Thermal Stress

77K

Steel 0,3%

Plastics > 2%

Δ L/L

Page 39: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger
Page 40: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Other View: H-S-Diagramm of Helium (Source: HEPAK)

Page 41: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Quantum Properties of Matter at low TSpecific Heat of liquid HELIUM

Much larger than specificheat of solids at thesetemperatures !

Page 42: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Quantum Properties of Matter at low TLatent Heat and Entropy of liquid HELIUM

Phase Transition HE I -> HE II ‚second kind‘ phase transition

( no latent heat )

Page 43: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Helium II parameters = f(T) Helium Parameters vs. Temperature

0

5

10

15

20

25

1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2 2.1 2.2

Temperature [K]

Hea

t o

f V

apo

risa

tio

n [

J/g

]

/ JT

Qu

al %

0.00

0.01

0.02

0.03

0.04

0.05

0.06

Vap

or

Pre

ssu

re [

bar

]

Heat of vaporisation

JT-Quality %

Vapor pressure

Page 44: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Definition of Lambda max in a HEII bath

Heat conductivity in HeII q**m = f(T) * dT/dxT-Temperature, x-lengthm ≈ 3

f(T) Germany = f**(-1) (T) USAT2

q max * L** 1/3 = [ ∫ f(T) dT ]**1/3 T1

T1 = F ( P1 ) Temperature function of vapour pressureT2 = F ( P1 + Δ P ) Δ P = ρ*L*g ρ= density of liquid g=9.81 m/s2

L= depth in bath

T1, P1 at liquid surface

T2, P2 at depth L in the bath

LT2 must not beexceeded to avoidbubbles !

Page 45: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Lambda, Cp,Diffusivity,Density of HEII

0

2000

4000

6000

8000

10000

12000

14000

16000

1 1.2 1.4 1.6 1.8 2 2.2

Temperature [K]

Lam

bd

a [W

/m2]

, Cp

[J/

kg]

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

Dif

fusi

vity

[m

/s]

Lambda max in a saturated bath

Cp of liquid

'Diffusivity' = Lambda/(RHO*Cp) [m/s]

Liquid density=RHO [kg/m3]

Helium II parameters = f(T) (cont.)

Design

Page 46: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Kapitza Heat TransferSolid Surface to Helium II

Heat transfer at the surface of oneTESLA cavity ∆ T = 100 mK

0

50

100

150

200

250

300

350

400

1.5 1.7 1.9 2.1

Temperature [K]

Dis

sip

ated

Hea

t [W

]

0

0.1

0.2

0.3

0.4

0.5

0.6

Kap

itza

Res

ista

nce

[W

/K*c

m2]

Hk=0.043*T**3.18W/K*cm2

For

Niobium

Page 47: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Some Cooling-Cycles:

Forced 1-phase Helium I Cooling

HERA Accelerator SC Dipoles

HERA Accelerator Lumi-up-Grade SC Magnets

SC Quadrupoles in

TTF-Cryomodules

+ = simple

-= large mass flow

excess liquid

++ = homogeneouscooling of sc coils at constant temperature

+ = no excess liquid

-= large mass flows

extra pump

Page 48: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Some Cooling cycles: Bath cooling

T bath = f ( P bath )

JT

liquid

vapor

Advantages: very simple

Δ P/ P = 0.5 mbar/ 31 mbar = 0.016

pressure regulation easy

(pressure stability required for TESLA cavities)

Page 49: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Film-boilingBubble-boiling

Free convection

1 W / cm2

Over-Heating

Heat Transfer to a Bath of Helium IRemember: Helium II bath 1 W/cm2 maximum heat flow density

INSIDE the bath !

Page 50: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

2.2 K forward

5 K forward

40 K forward

2 K 2-phase

cavity

2 K return

80 K return

8 K return

cool down/warmup

support

coupler

300 mm

Layout of XFEL-linac cryogenic: Helium II bath cooling

About 1000 1.3 GHz sc cavities will becooled in a 2K Helium II bath

TwoTwo phasephase He II He II flowflow involvedinvolvedGRT

Page 51: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Disadvantage:Complex 2-phase flow conditions

-0.15

-0.10

-0.05

0.00

0.05

0.10

0.15

0.20

0.25

0.30

0.35

-2.00 0.00 2.00 4.00 6.00 8.00 10.00 12.00 14.00

Module length [m]

Vap

or

velo

city

[m

/s] Module 1

Module 2

Module 3

Module 4

Module 5

Module 6

Module 7

Module 8

Module 9

Module 10

Module 11

Module 12

JTVapourLiquid

Gas returntube

Two phasetubeBeam tube

Strings 5 - 11

Vapor flow large

Example: Situation at the start of the XFEL-linac(refrigerator side)

ΔP ≠ 0

Vapor flow velocity in 2-phase tube

String 10

Page 52: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

1660 1561978 540442 354 208 141 66

BeamBeamdirectiondirection

LaserLaser--straightstraight XFELXFEL--linaclinac

BC BC

Liquid Helium II supply

Length[m]

Deviation from gravity equipotential [mm]

String 1String 11 String 10 String 9

72,7 61,5 52,3 34,7 26,0 17,7 0,04 26,3 36,3

5 String 4

JT JT JT JT JT JT3.9 GHzCavities 8 Modules

Gravity equipotential surface

Disadvantage: 2-phase flow affected bygravitational forces

One ‚String‘ = 12 cryomodules each of 12 m length

Page 53: with regard to SRF Technology - CERN · PDF filewith regard to SRF Technology. Overview ... Ideal Joule-Thomson Expansion = Isenthalpic Expansion ΔH=0 Joule-Thomson Valve Heat Exchanger

Two phase Helium II flow: for the XFEL-linac we want stratified-smooth flow

Flow PatternString 11

1.00

10.00

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.90 1.00

He II level / Tube diameter

K-P

aram

eter

Flow Pattern String 10

1.00

10.00

0.00 0.20 0.40 0.60 0.80 1.00He II level / Tube diameter

K-P

aram

eter

Flow PatternString 1

1.00

10.00

0.00 0.20 0.40 0.60 0.80 1.00He II level / Tube diameter

K-P

aram

eter

Flow Pattern String 5

1.00

10.00

0.00 0.20 0.40 0.60 0.80 1.00

He II level / Tube diameter

K-P

aram

eter

K = [ (ρl * ρg * VGS2 * VLS ) / ( (ρl ––– ρg) * g * μ * cos (β) )]1/2

K

He level /tube diameter

smooth

wavy

Design operation of XFEL: 2 K, 20 GeV, 23.6 MV/m 15 W/cryomodule

String 11 String 10

String 5 String 1

3.9 GHz

2-ph-flow conditions for cryomodules in different sections of the XFEL-linac

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Some Fundamentals of Thermal Insulation

rest gas heatconduction/convection

solid stateheatconduction

heatradiation

remove rest gas

absorb radiation on a thermal shield

reduce heatconduction bydesign and material

Multi LayerInsulation

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Some Fundamentals of Thermal Insulation: vacuum

viscous

Knudsen

molecular

heatconductivity

Λ = mean free path of gas molecules

S = cryostat dimension

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Some Fundamentals of Thermal Insulation: MLI

Multi Layer Insulation = ‚ Superinsulation‘

MLI-materials:

Aluminum foil

Plastic foil : Mylar Al – coated ( one or both sides)

vacuum pumping may be enhanced by small holes in foil

space between foils required to limit heat conduction:

use of ‚wrinkled‘ foils or spacer layers

spacer materials: glas-paper, glas fiber net, paper,……

to limit heat conduction between the MLI-layers:

avoid direct contact of layers, make vacuum pumping possible

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Some Fundamentals of Thermal Insulation: MLI impressions

spacerglas fibernet

(vitrolan)

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Some Fundamentals of Thermal Insulation: TESLA Cryomodule MLI impressions

Module connection to end-cap

MLI covered Cu shield of end-cap

80K shield 8K

shield

spacernet

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Some Fundamentals of Thermal Insulation: MLI

heatconduction

W/m2

0.4

0.5

0.6

0.7

0.8

20 30 40

number of layers

Heat conductionof different MLI types

For design:

1 W/m2

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Some Fundamentals of Thermal Insulation: MLI

Heat conductivityof different MLIsvs.

Density of layers

A: AL coated plastic foil

B: AL glas-fiber spacer

C: AL glas-fiber spacertissue

D: AL glas-fiber paperspacer

MLI Layers / cm

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Some Fundamentals of Thermal Insulation: MLI

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Some Fundamentals of Thermal Insulation: MLI

2 K Helium Vessel of TESLA Cavity

Note:

All helium process areasinside the cryostat shouldbe covered with about 5-10 layers of MLI to limit theimpact of insulationvacuum loss !

Heat input caused bythe break down ofInsulation vacuum:

40kW / m2 without MLI6kW/ m2 with MLI

(see safety section)

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… in addition the Helium vessel get their magnetic shielding

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Some Fundamentals of Thermal Insulation: cryogenic valves

Thermal intercept

Desy ‚philosophy‘: NO metal/metal sealings !!!

Use of plastic seals likeVespel SP1 (polyimid)

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Definition of Kv-value:

volume flow of water

[m3/h] at Δ P = 1bar

and T 278 K -313 K

(Cv= 1,17 Kv USA)

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First part: tutorial objectivesafter this part, we should remember:

• The meaning of ‚cryogeniccryogenic‘• Carnot refrigerator efficiency• ‚COPCOP‘ of a refrigerator• Some Helium refrigerator cycles• Some ‚quantum properties‘ of matter at low

temperatures• Some useful Helium II properties• Some typical cooling cycles• Some fundamentals of thermal insulation

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Second part: tutorial objectivesafter this part, we should remember:

• Measures to increase refrigerator availability

• Helium management considerations• Suited materials for cryogenic temperatures

• Cryogenic safety aspects• Basic cryomodule design considerations

• Pressure vessel regulations• Quality control measures

• Example: TESLA style cryomodule design

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HERA Cryo Plant: Availability 1994 - 2003

9596979899

100101102103104105

1992

1993

1994

1995

1996

1997

1998

1999

2000

2001

2002

2003

year

%

average:MTBF = 33 days

HERA Cryo Plant: Interruptions over 10 years of operation 1994 - 2003

0

5

10

15

20

25

Compressors Computer Control Main Power Water Air

kind of interruption

Num

ber

020406080100120140160180200

Downtim

e (h

)

average:6,2 interruptions/year0,16 interruptions/week1,04 h / week

HERA Cryo Plant: Interruptions 1992 - 2003

02468

1012141618

1992

1993

1994

1995

1996

1997

1998

1999

2000

2001

2002

2003

year

Num

ber

External Supply

Computer Control

Coldbox

Compressors

average:MTBF = 33 days

Availability

99.6 %

(utilities

excluded)

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Rating

1

2

3

4

5

Source of unavailability

External utility failures

Blockage by frozen out gaseous impurities

Operational problems

Single component failure not leading to total plant shutdown

Catastrophic component failure leading to plant shutdown

Example

Electrical power, cooling water, instrument air failure

Air and/or water vapor

Controls, instrumentation, operators

Electrical motor burnout, compressor bearings, leaking oil pump seal, turbine

bearing troubleLoss of insulation vacuum, rupture of heat

exchanger, oil spill into cold process piping

Multiple refrigerators ...?

would bring no advantage

provide somewhat larger tolerance

would be detrimental, because of higher complexity of the system

would bring no advantage over component redundancy within a single

refrigeratorwould have a positive effect

Availability increase by redundant refrigerators?

Is there an availability increase by the installation of a complete redundant refrigerator ?

Redundant compressors and low temperature adsorbers

Easy exchange of turbines and cold compressors

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Helium Process Gas Management

Helium gas storage tanks

Liquid Helium storage dewar

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gravitationseparation

coalescencefilter I

coalescencefilter II

dryer

adsorber

Low temperaturepurifier

oildroplets

oil fog

oil fog

H2O vapor

oil vapor

oxygennitrogenhydrogen

Removal of:

Helium processgas purification

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HD Coalescence Filter

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Helium Dryer

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Suited materials for lowtemperatures

Low temperature embrittlement

Causes overloaded components to fracture spontaneously rather thanaccommodating the stress by plastic deformation

Appropriate steels for low temperature use are listed in the Technical Rules forPressure Vessels AD-Merkblatt W10 /European harmonized technical rules/ASME-code (USA) . (In general, materials with face-centered cubic (fcc) crystalstructure as copper, nickel, certain copper nickel alloys, zircon and titanium aresuitable for cryogenic applications.)

.

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304 L1.4306X2CrNi 19-11

316 L1.4435X2CrNiMo 18-14-3

304 LN1.4311X2CrNiN 18-10

317 L1.4438X2CrNiMo 18-15-4

1.4434X2CrNiMoN 18-12-4

1.4406X2CrNiMoN 17-11-2

316 LN1.4429X2CrNiMoN 17-13-3

310 L1.4335X1CrNi 25-21

1.4466X1CrNiMoN 25-22-2

-2701.4563X1NiCrMoCu 31-27-4

TM (in °C)ASTM typeAISI

DIN EN number

Material spec

European Harmonized RulesStainless steels for the use at low temperaturesDIN EN 13445-2B.2.2.4 Lowest material temperature for austenitic stainless steels Apply also for 2K !(material spec corresponding to ASTM type AISI may differ ! )

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Cryogenic safety aspects:

Preventive Measures

Against Pressure Build-up

Redundancy

i.e. more safety devices than

required

double safety devices

and

Diversity

i.e. safety devices based on different

mechanisms

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Cryogenic safety aspects

Pressure Build-up by Evaporation

Large air leak into the wave guide of an insert-> Evaporation of about 2.6 kg/s mass flow through safety valve

Heat input caused bythe break down ofInsulation vacuum:

40kW / m2 without MLI6kW/ m2 with MLI

Bernd Petersen DESY –MKS1

[email protected]

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Cryogenic safety aspects

Preventive Measures against PressureBuild-up

Release Flap + Safety Valve

Caution in the

Vicinity

Of

Release devices !

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Safety aspects: Calculation of venting conditions

According to ASME Code CGA S.1.3-1995

Q sqrt ( v )

m = = f(T)

v * sqrt ( dh / d v) P v * sqrt ( dh / d v) P

T/TkritMaximum at T=T flow

Q – heat input

m – mass flow

V – specific volume

H – specific enthalpy

T=T flow

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Safety aspects: Spec of safety valves

Source: AD pressure vessel code

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Safety aspects: procedure

Calculate heat input Q

Find T flow (by ASME code)

Calculate mass flow at T flow (by ASME code)

Calculate sv dimensions ( by AD code)

Method used by DESY MKS:

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SafetyValve in action……….

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Basic cryomodule design considerations (1)

• Operation mode : pulsed or cw ???

• Fraction of dynamic and static loads ?

• RF operation frequency -> choice of operation temperature

• beta = ??? -> general cavity and cryostat design

• RF main coupler loads -> thermal intercepts

• HOM loads -> design of couplers and absorbers

• ERL machines -> active cooling of HOM absorbers may be required

• Tuners -> warm or cold ( extra feedtroughs required ?)

• Magnetic shielding of cavities

• Focusing sc magnets included ? Current leads design….

• Alignment requirements

• Environment -> expected radiation level, tunnel ?...........

• Single individual cryostat or serial production for large accelerator ?

Task : design a cryomodule for SRF accelerator operation

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Basic cryomodule design considerations (2)

• Generate a design concept

• Concept for cooling and heat load estimate

• Risk analysis -> choice of technical rules & pressure vessel classification

• Risk analysis -> safety concept & equipment

• Pressure vessel code -> design & construction rules

• Pressure vessel code -> choice and control of materials

• Pressure vessel code -> welding procedures & management

• Pressure vessel code -> third party inspection & test procedures

• Quality control plan ( in addition to pressure vessel code )

• Design, construction & prototyping

• Testing, testing,testing……………

• Transfer to industrial construction

• Testing, testing,testing….-> pre-series -> serial production

Task : design a cryomodule for SRF accelerator operation

Some ‚formal‘ aspects:

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- European Pressure Equipment Directive (Richtlinie 97/23/EG für Druckgeräte)- Richtlinie über elektrische Betriebsmittel (73/23EWG)- Geräte- und Produktsicherheitsgesetz (GPSG)- Betriebssicherheitsverordnung (BetrSichV)- Qualitätsmanagementsysteme DIN EN ISO 9001, August 1994- European Harmonized Standards like Europäische Norm EN 13445, etc.

Basic cryomodule design considerations (3)Task : design a cryomodule for SRF accelerator operation

Some formal Rules, laws, regulations which have to be obeyed in the EU

INCOMPLETE !

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Basic cryomodule design considerations (4)

• By the way: the cavities have to work -> include clean room requirementsfrom the start for all related components

• Quality insurance procedures: helium leak tests of each and every heliumprocess components required (before, during and after assembly )

• Helium leak testing at a rate of 10-8 mbar/l*sec (or better) for the individualcomponets at ambient temperatures will avoid ‚cold-leaks‘ in the order of better than 99%

• DESY ‚philosophy‘: no direct feedthroughs from helium process areas to insulation vacuum for accelerator cryostats !!!!

• Structural tests (like X-raying of welds) can NOT replace helium leak checks ( and vice versa) !!!!!

• Welding additives must be qualified for low temperatures -> strict certificationof welding procedures & welders; strict quality control organization and management

Task : design a cryomodule for SRF accelerator operation

Some ‚technical‘ aspects:

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Example: TESLA-style cryomodule design(INFN Milano/Italy)

Designed for large accelerators -> low costs per length accelerator

-> ‚easy‘ and cheap assembly

-> serves as a ‚generic design‘ for other projects:ERLs,XFEL,ILC…..

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longitudinal movement posts during cool down XFEL module type

-->sliding fixed sliding

C1 C2 C3 C4 C5 C6 C7 C8 Mag/BPM

Fixpoint Invar rod

HOM-Absorber

Between Modules

Sc magnetpackage also fixed at invar rod

Example: TESLA-style cryomodule design

Positions of cavities and Couplers are fixed

X-ray of coupler positionat 300 K and 2K

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TESLA-style module design: 3 design steps

In use for FLASH-linac user facility at DESY

Prototype for XFEL-linac cryomodules ( only minor modifications )

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(courtesy of N. Ohuchi et. al KEK)

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T4CM Design. The Master Spreadsheet(courtesy of Don Mitchell and Youri Orlov FNAL)

Hyperlinked to a detailed

PDF drawing

Values which can

be modified

Shrinkage Calculations

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Cornell University ERL InjectorCryostat(courtesy of Eric Chojnacki) Design changes for for

ERL use (cw-operation, large HOM loads)

HOM absorber

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Second part: tutorial objectivesafter this part, we should remember:

• Measures to increase refrigerator availability

• Helium management considerations• Suited materials for cryogenic temperatures

• Cryogenic safety aspects• Basic cryomodule design considerations

• Pressure vessel regulations• Quality control measures

• Example: TESLA style cryomodule design

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Thank You !