Thermal Environment & Mechanical Support Phase and Trajectory Tolerances Foundation Considerations Thermal Distortions Support Design Undulator System Review March 3-4, 2004 J. Welch, SLAC

Phase error tolerance implications 2 micron rms trajectory tolerance (perfect undulator) Segment to segment strength variation of 1.5 x 10-4 Temperature coefficient of NdFeB is 0.1%/C Undulator compensation via Ti/Al assembly) magnet temperature tolerance ~ +-0.2 C Vertical undulator alignment 50 mm causes 10 degrees of additional slippage 2 mm deviation from straight over 10 m is about the average curvature of the Earth’s surface Undulator System Review March 3-4, 2004 J. Welch, SLAC

Path Length Increases due to Bumps LCLS: A < 3.2 mm LEUTL: A < 100 mm VISA: A < 50 mm from H-D Nuhn Undulator System Review March 3-4, 2004 J. Welch, SLAC

Alignment and Stability Strategy Three layers of defense against trajectory errors Beam based fast orbit feedback for launch errors full BBA with multiple beam energies to measure BPM and Quad offsets. Wire Positioning System and Hydrostatic Leveling System HLS systems have shown good long term stability WPS system have shown good short term stability Make foundation and supports as stable as possible thermal stability, geotechnical, and support mechanical design Undulator System Review March 3-4, 2004 J. Welch, SLAC

Beam Based Alignment If errors are too big they must be fixed rather than “corrected for” BBA is the fundamental LCLS tool to obtain and maintain ultra-straight trajectories over long term. Corrects for BPM mechanical and electrical offsets Field errors, (built-in) and stray fields Field errors due to alignment error Input trajectory error Does not correct undulator alignment errors Establishes a best fit straight line electron trajectory Procedure Take orbits with three or more very different beam energies, calculate corrections Move quadrupoles and/or adjust steering coils to correct orbit Disruptive to operation offsets don’t depend on energy 1/month is ignorable, 1/day is intolerable Undulator System Review March 3-4, 2004 J. Welch, SLAC

BPM and Quad Stability Requirements After BBA, changes of BPM offsets will be seen erroneously as orbit errors Stability of BPM mechanical and electrical offsets determine trajectory stability need BPM stability of ~ 2 mm rms BPM’s have to be mechanically more stable than all other components Known BPM motions are taken out in software Quad stability requirements are more like 5 microns Undulator System Review March 3-4, 2004 J. Welch, SLAC

Support and Monitoring Schematic Undulator System Review March 3-4, 2004 J. Welch, SLAC

Foundation Instability Undulator System Review March 3-4, 2004 J. Welch, SLAC

Settlement Implications for LCLS Expect settlement of order ~ 300 - 1000 mm / year = 1 - 3 mm / day, not well correlated with location Good alignment lasts only a day or so Mover range cannot accommodate much of the drift; need another mechanism with plenty of range and periodic realignment Undulator System Review March 3-4, 2004 J. Welch, SLAC

Foundation Design Guidance Uniformity of construction along length avoid fill areas which settle much faster try to avoid kinks, gentle bends are more tolerable Strong thick floor ~ 3 ft, essentially monolithic Buried/tunneled research yard has poor stability good thermal insulation Water table considerations desire either wet or dry all year keep sandstone wet between exposure and concrete Undulator System Review March 3-4, 2004 J. Welch, SLAC

Vibration Normally vibration amplitudes are much less than 1 micron, typically 10 - 100 nm. ~10 nm measured on top of berm. Possible areas of concern air handling units passage of vehicles over undulator hall tunnel. Pointing sensitivity ~ 10-7 radians (1/10 angular divergence) e.g. 10 Hz -> yrms ~ 1 micron Q factors for equipment can be 100’s, supports need to be checked Undulator System Review March 3-4, 2004 J. Welch, SLAC

Thermo-Mechanical Instabilities Dilatation (ordinary thermal expansion) Warp caused by thermal gradients (heat flux) Undulator System Review March 3-4, 2004 J. Welch, SLAC

Dilatation Support column height from (fixed?) bedrock 3+ meters. Temperature coefficient for Anocast 12 ppm/C Temperature change for 1 micron vertical motion is 0.03 C --> BBA re-measure at 0.06 C change -->stability during BBA procedure 0.03 C/ 8 hr, (~1 degree/week) Undulator System Review March 3-4, 2004 J. Welch, SLAC

Warping from Heat Flux T1 T2 Long beams bend easily if there is a heat flux across them. Heat fluxes can arise from Temperature differences between walls and radiant heat transfer Air temperature differences Contact with supports or other materials It is easy to show the bar goes to “average” temperature T1 T2 Undulator System Review March 3-4, 2004 J. Welch, SLAC

Heat Flux Example Heat flow a the bar for 1 degree temperature difference Undulator System Review March 3-4, 2004 J. Welch, SLAC

Heat Flux Distortions Bar Warp d L = 3 m, titanium 3 W/m2 -> 2 micron warp for an undulator segment 2 microns is the walk-off tolerance, -> Max wall temperature difference is ~1 degree C Undulator System Review March 3-4, 2004 J. Welch, SLAC

Thermal Environment Air temperature in both time and space Surface temperatures Heat sources and sinks Undulator System Review March 3-4, 2004 J. Welch, SLAC

Air Temperature Illustration Match MMF temperature Undulator System Review March 3-4, 2004 J. Welch, SLAC

more temp specs Undulator System Review March 3-4, 2004 J. Welch, SLAC

Girder Concept Stability of bedrock is not good (1-3 mm/day) If the girder is truly stable, linearly correlated motion along the girder can be identified and corrector for. The longer the girder the better Stability of bedrock is not good (1-3 mm/day) Long girder to provide good relative alignment stability Length > gain length ( ~ 5 m) Reduce the number of supports req’d Undulator System Review March 3-4, 2004 J. Welch, SLAC

Girder Concept Undulator System Review March 3-4, 2004 J. Welch, SLAC

Why Granite? PRO CON Good overall long term stability common choice for metrology and magnet measurement benches Large thermal mass averages temperature fluctuations, good passive stability Low thermal expansion coefficient ~ 1/2 cte of steel, similar to ceramics Reasonable cost in large sizes ~ $40,000 for 12 x 0.8 x 0.8 m, finished and delivered (enough for 3 undulator segments) Low thermal conductivity sensitive to heat fluxes Variable mechanical properties Doesn’t take a tap hard to add features Not ductile handle with care Heavy Undulator System Review March 3-4, 2004 J. Welch, SLAC

Other Girder Options Aluminum tubes with temperature stabilization Steel or cast iron girders Engineered stone (Anocast) Carbon reinforced plastic tube trusses Specialized concrete NLC technology SiC girders! Undulator System Review March 3-4, 2004 J. Welch, SLAC

Support Assembly Concept Undulator System Review March 3-4, 2004 J. Welch, SLAC

Earthquake bracing J. Welch, SLAC Undulator System Review March 3-4, 2004 J. Welch, SLAC

Support in Tunnel J. Welch, SLAC Undulator System Review March 3-4, 2004 J. Welch, SLAC

Adjustable support platform Undulator System Review March 3-4, 2004 J. Welch, SLAC

Support R&D Testing a 6 m piece from Barre Vt for long term stability - start this summer does it slowly sag? how much does it warp with temperature and humidity changes in the surrounding tunnel? What does sealing do? does insulation help? how much? thermal stabilization time? Prototype mounting schemes for adjustable support platform and kinematic supports Undulator System Review March 3-4, 2004 J. Welch, SLAC

Schedule & Cost Granite manufacture and shipping time 10 weeks for first item don’t know at what rate they can be produced, need at least 11. Quarry closed Jan - Mar Stabilization time ~ 2 months, before ready to measure Integration into installation schedule under development Granite beams ~ $500,000 Other support costs ~ $500,000 Thermometry, kinematic supports, insulation, tubes, plates, eq bracing, etc Undulator System Review March 3-4, 2004 J. Welch, SLAC

Extra Slides Undulator System Review March 3-4, 2004 J. Welch, SLAC

Temperature specs J. Welch, SLAC Undulator System Review March 3-4, 2004 J. Welch, SLAC

Basic Tolerance Requirements from Simulations Saturation length (86 m) increases by one gain length (4.7 m), for the 1.5 Angstrom case if there is: 18 degree rms beam/radiation phase error 1 rms beam size ( ~ 30 mm) beam/radiation overlap error. Undulator System Review March 3-4, 2004 J. Welch, SLAC

Assembly Concept exploded Undulator System Review March 3-4, 2004 J. Welch, SLAC