ILC Cryogenic Systems Status Tom Peterson for the cryogenics global group 13 July 2006
Download ReportTranscript ILC Cryogenic Systems Status Tom Peterson for the cryogenics global group 13 July 2006
ILC Cryogenic Systems Status Tom Peterson for the cryogenics global group 13 July 2006 Sources of information • TESLA TDR • XFEL talks and reports » Most recently, "XFEL civil and cryoplant", by Wilhelm Bialowons and Bernd Petersen at http://ilcagenda.cern.ch/conferenceDisplay.py?confId=366 • Bernd Petersen, et. al. (DESY) direct communications • Tuesday morning systems status webex/teleconference presentations and discussions » http://ilcagenda.cern.ch/categoryDisplay.py?categId=58 • Tuesday morning CF&S videoconferences » Also direct communications with Tom Lackowski, Emil Huedem, and others Cryogenics, 13 July 2006 2 Main linac information • Mostly by direct communication » Chris Adolphsen » Nikolay Solyak • And from TESLA TDR and XFEL concepts Cryogenics, 13 July 2006 3 RTML information • Very informative and up-to-date wiki page with information about the cryogenics requirements for the RTML, at » http://www.linearcollider.org/wiki/doku.php?id=rdr :rdr_as:rtml_cryo Cryogenics, 13 July 2006 4 Damping ring information • Damping ring cryogenic component arrangement and heat load estimates are taken from “DR Design Status”, a talk by S. Guiducci at the DR System Area Status Videoconference on 4 April 06. » http://ilcagenda.cern.ch/conferenceDisplay.py?con fId=308 • Also useful discussions with Richard Ehrlich and Eric Smith of Cornell about CESR RF cavity cooling Cryogenics, 13 July 2006 5 e- and e+ source information • Electron source parts list http://www.linearcollider.org/wiki/dok u.php?id=rdr:rdr_as:rdr_as_home • POSITRON_Tuesday_Review_April.ppt by John Sheppard, presented on April 11. http://ilcagenda.cern.ch/conferenceDis play.py?confId=309 Cryogenics, 13 July 2006 6 ILC cryogenic system definition • The cryogenic system is taken to include cryogen distribution as well as production » Cryogenic plants and compressors • Including evaporative cooling towers » Distribution and interface boxes • Including non-magnetic, non-RF cold tunnel components » Transfer lines » Cryo instrumentation and cryo controls • Production test systems will also include significant cryogenics » We are providing input to those cost estimates Cryogenics, 13 July 2006 7 ILC cryomodule count Number Cryom odule sper sy stem Total Number dev ice of sy stemscount Total each ty pe Ty pe Description Main Linac 936 2 1872 624 1248 standard standard with quad without quad RTML 60 2 120 64 56 standard standard with quad without quad e- source 21 1 21 11 4 6 standard special special with quad 6 cav ities + 6 quads 8 cav ities + 2 quads e* booster 22 1 22 12 4 6 standard special special with quad 6 cav ities + 6 quads 8 cav ities + 2 quads e+ Keep Aliv e 2 1 2 2 special with quad(s) Damping Rings 32 3 96 96 special 650 MHz undulator 13 1 13 4 9 standard standard with quad without quad Sum total standard with quad Sum total standard without quad Sum total 1.3 GHz non-standard Cryogenics, 13 July 2006 715 1313 22 8 ILC superconducting magnets • 737 1.3 GHz modules have SC magnets • Some SC magnets are outside of RF modules » 200 meters of SC helical undulators, in 2 - 4 meter length units, in the electron side of the main linac as part of the positron source » In damping rings -- 8 sections of wigglers, 10 wigglers per section x 2.5 m per wiggler » Some magnets in sources and in RTML (spin rotator, etc.) Cryogenics, 13 July 2006 9 End boxes and service boxes • String end boxes are short, separate cryostats with approximately the same cross-section as a module • Cryogenic unit end boxes (or “service” boxes) are mostly offset from the beamline to reduce drift space length between cryogenic units » A cavern (20 meters long) will be required at each cryogenic unit end to accommodate these offset boxes • The following two XFEL slides and TTF photo illustrate the concepts for string end boxes and unit service boxes Cryogenics, 13 July 2006 10 XFEL linac cryogenic components This slide from XFEL_Cryoplant_120506.ppt by Bernd Petersen ‚regular‘ string connection box End-BOX The ILC string end box concept is like this -- a short, separate cryostat Cool-down/warm-up JT Feed-Box Bunch Compressor Bypass Transferline (only 1-phase helium) Cryogenics, 13 July 2006 11 The ILC cryogenic unit service boxes may be offset from the beamline, reducing drift space length, with a concept like this. XFEL Bunch-Compressor-Transferlines This slide from XFEL_Cryoplant_120506.ppt by Bernd Petersen The cryogenic unit service boxes may be offset from the beamline as shown, but they would be larger. Drift space is reduced to about 2 meters on each end plus warm drift space. Cryogenics, 13 July 2006 12 TTF cold-warm transition ~ 2 m Cryogenic lines End module Structure for vacuum load Warm beam pipe Cryogenics, 13 July 2006 13 Main linac modules • Maintain liquid level in helium vessels over a 143 m string length • Pipes sized for pressure drops in 2.3 km cryogenic unit • Very limited cryogenic instrumentation Cryogenics, 13 July 2006 14 Cryogenics, 13 July 2006 15 Cryogenic instrumentation • RF unit (~8 total thermometers per RF unit) » Temperature sensors on magnet current leads » Temperature sensor on one helium vessel per module » Temperature sensor on quad helium vessel • String end box » » » » » » 18 temperature sensors 2 liquid level sensors 2 flow sensors 5 pressure taps (tube to room temperature sensor) 2 heater controllers 3 valve controllers » Vacuum gauges Cryogenics, 13 July 2006 16 Module predicted heat loads TTF typical measured static Dynamic predicted at 31.5 MV/m, Q0 = 1E10, 5 Hz Total predicted at 31.5 MV/m, Q0 = 1E10, 5 Hz Heat loads at 40 K – 80 K level (W/module) 74.0 Heat loads at 5 K - 8 K level (W/module) 13.0 Heat loads at 2 K level (W/module) 3.5 105.25 4.87 8.37 179.25 17.87 11.87 • Heat load estimates are still under development » May go lower with better understanding of HOM dynamic load scaling from TESLA » May go higher as discover forgotten sources of heat Cryogenics, 13 July 2006 17 Cryogenic unit parameters (W/module) Predicted module static heat load (W/module) Predicted module dynamic heat load Number of modules per cryo unit (8-cavity modules) (kW) Non-module heat load per cryo unit Total predicted heat per cryogenic unit (kW) Heat uncertainty factor (on static only) (kW) Design heat load per cryogenic unit (g/s) Design mass f low per cryogenic unit (kW) Design ideal pow er Efficiency (fraction Carnot) (W/W) Efficiency in Watts/Watt (kW) Nominal operating pow er 2K 40 K to 80 K 5 K to 8 K 3.50 13.00 74.00 8.37 4.87 105.25 192.00 192.00 192.00 0.20 0.20 1.00 2.48 3.63 35.42 1.50 1.50 1.50 2.92 4.98 43.02 155.35 141.12 206.15 236.53 450.83 198.11 0.20 0.30 0.30 158.35 773.28 15.35 788.44 2254.15 660.36 1.40 1.70 924.50 4.22 1.86 0.18 Overcapacity f actor Overall net cryogenic capacity multiplier (kW) Installed pow er (kW) Installed 4.5 K equiv (W/m) Installed 4.5 K equiv per unit length Percent of total pow er at each level Total operating pow er f or one cryo unit (MW) Total installed pow er f or one cryo unit (MW) Total installed 4.5 K equivalent pow er f or one cryo unit (kW) Fraction of largest practical cryoplant per cryogenic unit Cryogenics, 13 July 2006 18 1.40 1.92 1103.81 5.04 2.22 0.21 3.70 5.18 23.69 0.95 Overall 1.40 multiplier 1.71 1.65 3155.81 14.42 6.34 0.61 CERN LHC capacity multipliers • Cryo capacity = Fo x (Qd + Qs x Fu) » Fo is overcapacity for control and off-design or offoptimum operation » Fu is uncertanty factor on load estimates, taken on static heat loads only » Qd is predicted dynamic heat load » Qs is predicted static heat load Cryogenics, 13 July 2006 19 Heat Load evolution in LHC Basic Configuration: Pink Book 1996 Design Report: Design Report Document 2004 Temperature level Heat load increase w/r to Pink Book Main contribution to the increase 50-75 K 1,3 Separate distribution line 4-20 K 1,3 Electron-cloud deposition 1,9 K 1,5 Beam gas scattering, secondaries, beam losses Current lead cooling 1,7 Separate electrical feeding of MB, MQF & MQD At the early design phase of a project, margins are needed to cover unknown data or project configuration change. Cryogenics, 13 July 2006 20 Cryogenic unit length limitations • 25 KW total equivalent 4.5 K capacity » Heat exchanger sizes » Over-the-road sizes » Experience • Cryomodule piping pressure drops with 2+ km distances • Cold compressor capacities • With 192 modules, we reach our plant size limits, cold compressor limits, and pressure drop limits • 192 modules results in 2.23 km long cryogenic unit -- 5 units per 250 GeV linac » Divides linac nicely for undulators at 150 GeV Cryogenics, 13 July 2006 21 Main linac lengths modules RF unit (lengths in meters) string (vacuum length) possible segmentation unit Cryogenic Unit without with quad quad 11.271 12.543 three modules without quad 11.271 RF unit RF unit RF unit RF unit end box 35.085 35.085 35.085 35.085 2.500 twelve modules plus string end box string string string string 142.842 142.842 142.842 142.842 48 modules (segmentation box is the same as string end box (2.5 m) and all contain vacuum breaks) service service box end segment segment segment segment box end 2.500 571.366 571.366 571.366 568.866 2.500 (1 cryogenic unit = 192 modules = 4 segments*48 CM with string end boxes plus service boxes.) 2288.0 meters Cryogenics, 13 July 2006 22 Main linac warm drift space half warm drift space 3.136 long CU w arm long CU 16 strings 64 RF units drift space (16 strings=64 RFU) 64 RF units 2288.0 6.271 2288.0 2294 start of main linac warm drift space 6.271 short CU warm short 15 strings 60 RF units undulator 15 strings 60 RF units 2145.1 1200.0 2145.1 5042 Shaft Shaft (centre of drift space) (centre of undulator) • Presently 6.27 meters warm drift space, only between cryogenic units » Result of discussions with Nikolay Solyak » Desire to minimize drift length » Arbitrarily one module length minus 2.5 meter transition on each end • From cryogenics viewpoint, no strong preference for lengths -- determine from main linac, instrumentation, vacuum input Cryogenics, 13 July 2006 23 Calculations of the pressure drops in the ILC Cryo Unit Conclusions (based on inputted data): Initial parameters A: P inlet = 1.20 T inlet = 2.40 Heat = 0.02 Length = 3.00 Flow = 0.15 ID = 0.06 Final parameters A P outlet= T outlet = Heat = Length = Flow = ID = Bar K W/m km kg/s m Initial parameters B: P inlet = 0.03 Bar T inlet = 2.100 K Heat = 0.01 W/m Length = 3.00 km Flow = 0.15 kg/s ID = 0.30 m init qual = T vapor = h vapor = init flow = 1 1.986 24982.3 0.01 1.17 2.59 0.02 3.00 0.15 0.06 none K J/kg kg/s Bar K W/m km kg/s m Final parameters B: P outlet= T outlet = Heat = Length = Flow = ID = 0.03 2.00 0.01 3.00 0.15 0.30 Bar K W/m km kg/s m Initial parameters C: P inlet = 5.00 T inlet = 5.00 Heat = 1.17 Length = 3.00 Flow = 0.23 ID = 0.07 Bar K W/m km kg/s m Final parameters C - initial parameters D: P outlet= 4.85 Bar T outlet = 6.63 K Heat = 1.17 W/m Length = 3.00 km Flow = 0.23 kg/s ID = 0.07 m Final parameters D: P outlet= T outlet = Heat = Length = Flow = ID = 4.57 8.03 1.17 3.00 0.23 0.07 Bar K W/m km kg/s m Initial parameters E: P inlet = 16.00 T inlet = 40.00 Heat = 6.68 Length = 3.00 Flow = 0.25 ID = 0.07 Bar K W/m km kg/s m Final parameters E - initial parameters F: P outlet= 14.90 Bar T outlet = 55.09 K Heat = 6.68 W/m Length = 3.00 km Flow = 0.25 kg/s ID = 0.07 m Final parameters F: P outlet= T outlet = Heat = Length = Flow = ID = 13.22 76.89 9.51 3.00 0.25 0.07 Bar K W/m km kg/s m Cryogenics, 13 July 2006 24 Accelerator Division / Cryogenics - M. Geynisman - April 21, 2006 Module pipe sizes updated P ipe funct ion BCD name TTF inner diameter (mm) XFEL plan inner diameter (mm) ILC ILC proposed pressure i n ne r dia drop (mm ) 2.2 K subcooled supply A 45.2 45.2 60 30 mbar Major ret urn header, st ructural supp’t 5 K shield and intercept supply 8 K shield and intercept return 40 – 50 K shield supply B ~300 ~300 ~300 1.5 mbar C 57.5 71 70 D 50.0 71 70 E 57.5 71 80 75 - 80 K shield ret urn F 50.0 71 80 2-phase pipe 72.1 72.1 72.1 Helium vessel to 2-phase pipe cross-connect 54.9 54.9 54.9 Cryogenics, 13 July 2006 25 0.43 bar ~1.6 bar RTML BC2 follows main linac pattern modules RF units (lengths in meters) with quad 12.543 without quad 11.271 with quad 12.543 without quad 11.271 2 Quad RF unit 4 typical strings like this end box 2.500 x4 + short string string string string string 145.385 145.385 145.385 145.385 107.800 57 modules plus string end boxes plus 2 service boxes (String end boxes all contain vacuum breaks) RTML BC2 694.3 Cryogenics, 13 July 2006 without quad 11.271 1 Quad RF unit 2 quad 1 quad 2 quad 1 quad RF unit RF unit RF unit RF unit 36.357 35.085 36.357 35.085 Typical strings with 12 modules plus end box service box 2.500 57 BC2 modules in RTML with quad 12.543 26 2 quad 1 quad 2 quad RF unit RF unit RF unit service box 36.357 35.085 36.357 2.500 one short string at end with 9 modules service box 2.500 Damping ring heat loads e- RF module e+ RF module (one c avity per module) e- wiggler e+ wiggler (2 .5 meters ) (2 .5 meters ) Static 4 .5 K heat (W) D ynamic 4 .5 K heat (W) N umber per loc ation T otal 4 .5 K heat per loc ation (W) N umber of loc ations T otal 4 .5 K heat per damping ring (W) 3 0 .0 1 8 .0 4 1 9 2 .0 4 7 6 8 .0 3 0 .0 4 1 .0 6 4 2 6 .0 4 1 7 0 4 .0 5 .0 0 .0 10 5 0 .0 8 4 0 0 .0 5 .0 0 .0 20 1 0 0 .0 8 8 0 0 .0 Static 7 0 K heat (W) D ynamic 7 0 K heat (W) N umber per loc ation T otal 7 0 K heat per loc ation (W) N umber of loc ations T otal 7 0 K heat per damping ring (W) 5 0 .0 1 0 .0 4 2 4 0 .0 4 9 6 0 .0 5 0 .0 1 0 .0 6 3 6 0 .0 4 1 4 4 0 .0 5 0 .0 0 .0 10 5 0 0 .0 8 4 0 0 0 .0 5 0 .0 0 .0 20 1 0 0 0 .0 8 8 0 0 0 .0 N otes :e+ has 3 RF modules in eac h ring at eac h loc ation x 2 rings e+ has 1 0 wigglers in eac h ring at eac h loc ation x 2 rings Cryogenics, 13 July 2006 27 Damping ring cryo system concept • Four cryo plants located around each damping ring, one at each RF location • Each plant provides the liquid for 4.5 K bath cooling of the RF and wiggler magnets and the nominally 70 K shield • At least part of each plant is underground, at tunnel elevation, in caverns which also provide RF power, etc. • Wigglers are in 8 locations » Each plant supplies two sets of wigglers, one 4.5 K / 70 K transfer line goes 1/8 of the way around the damping ring, through the tunnel from each plant, to the remote wigglers Cryogenics, 13 July 2006 28 Damping ring cryo plant sizes electron ring 40 K to 80 K Temperature lev el Temp in Press in Total predicted heat per cry ogenic unit Number of cry ogenic units per location Total predicted heat per location positron ring positron ring 40 K to 80 K 4.4 K Temperature lev el Temperature lev el (W) 40.00 16.0 1580.00 1 1580.0 4.4 1.2 504.00 1 504.0 40.00 16.0 1580.00 2 3160.0 4.4 1.2 688.00 2 1376.0 Heat uncertainty f actor (on static only ) Design heat load per location Design mass f low per location (W) (g/s) 1.50 2330.00 11.17 1.50 684.00 35.01 1.50 4660.00 22.33 1.50 1736.00 88.84 Design ideal power 4.5 K equiv design power (W) (W) 10729.6 163.4 45795.8 697.5 21459.2 326.8 116230.3 1770.2 Ef f iciency (f raction Carnot) Ef f iciency in Watts/Watt Nominal operating power (W/W) (kW) 0.20 23.0 53.6 0.20 334.8 229.0 0.20 23.0 107.3 0.20 334.8 581.2 (kW) (kW) 1.40 2.06 75.1 0.3 1.40 1.90 320.6 1.5 1.40 2.06 150.2 0.7 1.40 1.77 813.6 3.7 19.0% 81.0% 15.6% 84.4% Ov ercapacity f actor Ov erall net cry ogenic capacity multiplier Installed power Installed 4.5 K equiv (K) (bar) (W) electron ring 4.4 K Temperature lev el Percent of total power at each lev el 1.93 Total operating power f or one location (MW) Total installed power f or one location (MW) Total installed 4.5 K equiv alent power f or one location (kW) Fraction of largest practical cry oplant f or location 0.28 0.40 1.81 0.07 0.69 0.96 4.40 0.18 Total installed power f or damping ring(s) (MW) 1.58 3.86 Cryogenics, 13 July 2006 29 Cryogenic architecture WCS WCS WCS WCS UCB UCB UCB UCB Surface CDB Shaft Surface Shaft Tunnel Cryo-unit LCB Cryo-unit LCB Cavern WCS: Warm compressor station UCB: Upper cold box LCB: Lower cold box CDB: Cryogenic distribution box CDB Tunnel Cryo-unit Cryo-unit Cryogenic architecture for shaft depth > 30 m Cryogenic architecture for shaft depth < 30 m For shaft depth above 30 m, the hydrostatic head in the 2 K pumping line becomes prohibitive and active cryogenics (e.g. cold compressor system) has to be installed in caverns (LBC), i.e. additional cost for cryogenics and civil engineering. Cryogenics, 13 July 2006 30 Cryogenics, 13 July 2006 31 ILC cryogenic system inventory Volumes One module String Cryogenic unit ILC main linacs Helium (liquid liters equivalent) 336.6 12 modules 4038.8 16 strings 64621.4 2x5 cryo units 646213.9 Tevatron equivalents LHC Inventory cost equivalents (K$) 0.1 1.1 10.8 12.12 193.86 1938.64 0.1 0.8 Since we have not counted all the cryogenic subsystems and storage yet, ILC probably ends up with a bit more inventory than LHC Cryogenics, 13 July 2006 32 ILC cryogenic plant size summary • ILC 500 will have 12 large cryoplants plus 8 smaller ones (not including BDL) » 10 at about 5.2 MW for the main linacs » 2 at about 2.5 MW for the sources and RTML’s » 4 at about 1.0 MW for the positron damping rings » 4 at about 0.4 MW for the electron damping ring • Why more cryoplants in ILC than TESLA? » Dynamic load up with gradient squared (length reduced by gradient), larger multipliers, lower assumptions about plant efficiency Cryogenics, 13 July 2006 33 Items associated with plants • Compressor systems (electric motors, starters, controls, screw compressors, helium purification, piping, oil cooling and helium after-cooling) • Upper cold box (vacuum-jacketed heat exchangers, expanders, 80 K purification) • Lower cold box (vacuum-jacketed heat exchangers, expanders, cold compressors) • Gas storage (large tank “farms”, piping, valves) • Liquid storage (a lot, amount to be determined) Cryogenics, 13 July 2006 34 Major cryogenic distribution components • 8 large (2 K system) tunnel service or “feed” boxes » Connect refrigerators to tunnel components • 8 large (2 K) tunnel distribution or “turnaround” boxes » Terminate and/or cross-connect cryogenic units • ~170 large (2 K) string end boxes of several types » Contain valves, heaters, liquid collection vessels, instrumentation, vacuum breaks • ~3 km of large transfer lines (including 2 Kelvin lines) • ~100 “U-tubes” (removable transfer lines) • Damping rings are two 4.5 K systems each the size (in terms of accelerator layout) of the Tevatron » Various distribution boxes and ~7 km of small transfer lines • Various special end boxes for isolated SC devices Cryogenics, 13 July 2006 35 Cryogenics WBS levels 4, 5 (cryogenics starts at level 3) ILC RDR C ryoge nic C ost Estim ate Ide ntifie r Ite m de scription basis 1.7.2 1.7.2.1 1.7.2.1.1 1.7.2.1.2 1.7.2.1.3 1.7.2.2 1.7.2.2.1 1.7.2.2.2 1.7.2.2.3 C ryoge nic Plant & Distribution C ryoge nic Plants Main Linac cryoge nic plants Sou rce and RTML cryoge nic plants Damping Ring cryoge nic plants C ryoge nic Distribution Main Linac cryoge nic distribu tion Sou rce and RTML cryoge nic distribu tion Damping Ring cryoge nic distribution Cryogenics, 13 July 2006 36 Unit 2 x 250 Ge V ILC Mate rials & Se rvice s No. of FY06 M$ T otal units per unit M&S M$ $ $ $ $ $ $ $ $ $ - Example of level 6 Ide ntifie r Ite m de scription basis 1.7.2 1.7.2.1 1.7.2.1.1 1.7.2.1.1.1 1.7.2.1.1.2 1.7.2.1.1.3 1.7.2.1.1.4 1.7.2.1.1.5 1.7.2.1.1.6 1.7.2.1.1.7 1.7.2.1.1.8 1.7.2.1.1.9 1.7.2.1.1.10 1.7.2.1.1.11 1.7.2.1.1.12 C ryoge nic Plant & Distribu tion C ryoge nic Plants Main Linac cryoge nic pl ants Main Linac warm compressor systems Main Linac cooling tower systems Main Linac warm gas storage systems Main Linac upper cold boxes Main Linac lower cold boxes Main Linac vertical transfer line Main Linac purification system Main Linac installation contracts Main Linac cryogenic control systems Main Linac liquid helium storage systems Main Linac misc. (ODH, gas analysis, instrument air, etc.) Main Linac helium Cryogenics, 13 July 2006 37 Unit each each each each each m each each each each each lit ers 2 x 250 Ge V ILC Mate rials & Se rvice s No. of FY06 M$ T otal units per unit M&S M$ $ $ $ 10 $ 10 $ 10 $ 10 $ 10 $ $ 10 $ 10 $ 10 $ 10 $ 10 $ $ - Open issues • Still identifying cold devices and estimating heat loads in sources and damping rings » Damping ring cryogenic layout is just a first concept » Need locations of SC devices for sizing transfer lines -- have many but not all • Have not dealt with beam delivery system details yet • Want to investigate alternatives for reducing cryo system visibility » Compressor grouping, inventory storage grouping, pipe sizing, etc. Cryogenics, 13 July 2006 38 Plant cost estimates • Cost (1998 MCFH) = 2.2*P(4.5 kW equiv)^0.6 » “Economies of Large Helium Cryogenic Systems: Experience from Recent Projects at CERN,” S. Claudet, et. al., Advances in Cryogenic Engineering, Vol 45, pg 1301, Plenum Press, 2000. • Convert 1998 CFH to 1998 $ and then 1998 $ to 2006 $ • Need to scale from 1998 to 2006 with proper factor, to be determined Cryogenics, 13 July 2006 39 Scaling from 1998 costs • For example, from CRU stainless steel price index » http://www.cruspi.com/HomePage.aspx » 1998 to 2005 is factor 1.44 (consumer price index was only 1.16) » Only have data through 2005 » Result: Cost (2005 $) = 2.16*P(4.5 kW equiv)^0.6 • Will also look at aluminum and labor • Other more recent cryo plant cost data are available » Linde study for Fermilab’s ILCTA-New Muon Lab refrigerator implies factor 1.53 for 1998 CHF to 2006 $ » SNS, and perhaps others » CERN Cryogenics, 13 July 2006 40 Thermal cost optimization • Additional 1 W at 2 K per module ==> additional capital cost to the cryogenic system of $4300 to $8500 per module (scale plant costs or scale whole system) • Additional 1 W at 2 K per module ==> additional installed power of 3.2 MW for ILC » $1100 per year per module operating costs. » There is room in the 2 K pipes for additional flow • Low cryo costs relative to module costs suggest that an optimum ILC system cost might involve relaxing some thermal features for ease of fabrication, even at the expense of a few extra watts of static heat load per module. Cryogenics, 13 July 2006 41 Cryogenics, 13 July 2006 42