1. Integration of Mathematica in the Large Hadron Collider geometry database
Jerome Beauquis
Elena Wildner
IMS06, 20 June, 2006, Elena Wildner

2. Outline INTRODUCTION THE DIPOLE GEOMERTY HOW TO SOLVE THE PROBLEMS
The superconducting LHC
The LHC Main Dipole
THE DIPOLE GEOMERTY
Definitions
How to Control the Dipole Geometry
Tolerances
Control Criteria
Magnet Instability
HOW TO SOLVE THE PROBLEMS
Limited resources
Working with the data base in Mathematica
Setting up Derived Parameter Values in Mathematica
Using WEB Services
Parameter Browser Palette
CONCLUSION
REFERENCES
IMS06, 20 June, 2006, Elena Wildner

3. The Superconducting LHC
The Tunnel existed (LEP) and had to be reused for LHC (proton proton collisions)
High energies are needed to explore physics (7 TeV)
This means high speed of particles
The force to bend particles is high
The field needed to house the accelerator in the tunnel ~9T
Superconducting Technology necessary
INTRODUCTION .
IMS06, 20 June, 2006, Elena Wildner

4. The LHC Main Dipole (1)
The LHC Dipole ( spares to be produced) by 3 firms (Germany, France and Italy, very large high tech contracts)
INTRODUCTION
We needed safe and powerful tools to manage the follow up of the production
IMS06, 20 June, 2006, Elena Wildner

5. The LHC Main Dipole (2) “Two in one” structure Yoke Collars Coil
INTRODUCTION
Collars
Coil
Beam-tube
IMS06, 20 June, 2006, Elena Wildner

6. The Dipole geometry Definitions
The beam must pass through the 56 mm (diameter) cold bore tube.
The dipole is bent 9.14 mm (9.11 at cryogenic temperature)
The Dipole is supported in three positions vertically
Horizontally the magnet was initially supported in two places.
Connection side
Lyre side
Field extension
Reference on Layout Drawings
Distance between cold bore tubes
Flanges
Cold mass end plate X Y
Sagitta
THE DIPOLE GEOMETRY
IMS06, 20 June, 2006, Elena Wildner

7. The Crucial Geometry Parameters
Measurements of the CBT center along the magnet
Computation of geometrical axis (best fit of measurement points to the theoretical trajectories)
Corrector position
Flanges (hard tolerance)
Fiducials
(external references)
THE DIPOLE GEOMETRY
IMS06, 20 June, 2006, Elena Wildner

8. Control of the Dipole Cold Mass Geometry
1. When the magnet comes to CERN, the sagitta has naturally changed (mechanism unknown today, studies ongoing) 2. At Cryostating the central support is blocked, no horizontal movement at the supports possible The magnet is cold tested 4. The magnet is fiducialized: during this procedure the shape is adjusted by acting on the position of the central support, horizontally and vertically.
Central support is blocked, horizontal degree of freedom suppressed
Degree of freedom
THE DIPOLE GEOMETRY
Large sagitta -> correctors >> 0 y
IMS06, 20 June, 2006, Elena Wildner

9. Cryostating
THE DIPOLE GEOMETRY
IMS06, 20 June, 2006, Elena Wildner

10. Requirements for the cold bore tube excursions
Tolerances
Requirements for the cold bore tube excursions
H axis points to the centre of the machine
THE DIPOLE GEOMETRY
15 % can be out horizontally, hard tolerance in industry 1.5
Last measurement at CERN Last industry
IMS06, 20 June, 2006, Elena Wildner

11. Cold Mass Geometry Instability (1)
“Natural” sagitta increase
Industry: Corrector ~ 0
THE DIPOLE GEOMETRY
IMS06, 20 June, 2006, Elena Wildner

12. Cold Mass Geometry Instability (2)
Firm 1
Firm 2 -1 1 2 3
dsagitta 4 6 8 10
Mean 0.71
Stdev 0.77
Total 127 -1 1 2 3 4 6 8 10
Total 90
Mean 0.33
Stdev 0.58
dsagitta
THE DIPOLE GEOMETRY
The sagitta is not stable !!!
Firm 3
Mean 0.51
Stdev 0.60 -1 1 2 3
2.5 5
7.5 10
12.5 15
Total 91
dsagitta
Different change of agitta for different firms
IMS06, 20 June, 2006, Elena Wildner

13. How to control the sagitta
Push the central support horizontally and block it
Control parameter?
Sagitta is a natural choice
How to calculate it
HOW TO SOLVE THE PROBLEM
IMS06, 20 June, 2006, Elena Wildner

14. Sequence Diagram HOW TO SOLVE THE PROBLEM
IMS06, 20 June, 2006, Elena Wildner

15. Mathematica via JLink KernelLink mLink =
MathLinkFactory.createKernelLink(
"-linkmode launch -linkname 'c:\\program files\\wolfram research\\mathematica\\5.0\\mathkernel'");
mLink.activate();
mLink.evaluate("<<OwnPackages`DerivedData`");
mLink.putFunction("EvaluatePacket",1);
mLink.putFunction("RaceTrackAp",1);
mLink.put(ShapeAp1);
mLink.endPacket();
mLink.waitForAnswer();
RaceTrack[0]=mLink.getDoubleArray1();
Create the link to the kernel
Connect the link
Load the package
HOW TO SOLVE THE PROBLEM
Call the function and send parameters
Get results and store in java object
IMS06, 20 June, 2006, Elena Wildner

16. Calculation of a Derived Parameter: The Sagitta
Some Derived Parameters in the Package:
Shape Classification
Measurement Data Filtering
Corrector Position Calculation
Sagitta ... etc
IMS06, 20 June, 2006, Elena Wildner

17. Measurements collected in an ORACLE database
Conclusion
Measurements collected in an ORACLE database
Communication software specialists-engineers needed
Mathematica calculations of derived parameters by engineers, easy prototyping
Integration by software specialists
Derived data package is growing and becoming more and more powerful
The approach was crucial for the very production speed and the problems we had with the magnet stability
Today the solution would be to use Mathematica to directly access ORACLE (no Java)
CONCLUSION
IMS06, 20 June, 2006, Elena Wildner

18. Acknowledgements
IMS06, 20 June, 2006, Elena Wildner

19. Java & Oracle (1/2)
DriverManager.registerDriver (new oracle.jdbc.driver.OracleDriver());
Connection conn = DriverManager.getConnection(
(ADDRESS=(PROTOCOL=TCP)(HOST=orapdb2.cern.ch)(PORT=1521))(ADDRESS=(PROTOCOL=TCP)
(HOST=orapdb1.cern.ch)(PORT=1521)))(CONNECT_DATA=(SERVICE_NAME=PDB.WORLD)
(FAILOVER_MODE=(TYPE=SELECT)(METHOD=BASIC))))","user","pwd");
Statement query = connect.createStatement();
ResultSet rsetShape;
rsetShape = query.executeQuery ("select Y,DX,DZ,Aperture from CRYOGEO_AXIS
WHERE MAGNET_NU=" + MagnetNumber + " AND step='" + Step1 + "'
and final_meas='T' ORDER BY APERTURE,Y");
j=0; i=0;
while (rsetShape.next()) {
if (rsetShape.getInt("APERTURE")==1) {
ShapeAp1[0][i]=(Double)Yap1.elementAt(i);
ShapeAp1[1][i]=(Double)DXap1.elementAt(i);
ShapeAp1[2][i]=(Double)DZap1.elementAt(i);
i++; }
else {
ShapeAp2[0][j]=(Double)Yap2.elementAt(i);
ShapeAp2[1][j]=(Double)DXap2.elementAt(i);
ShapeAp2[2][j]=(Double)DZap2.elementAt(i);
j++;
Connect to the DB
Get measurements from the DB
HOW TO SOLVE THE PROBLEM
Put data in java objects to be sent to mathematica package
IMS06, 20 June, 2006, Elena Wildner

20. Java & Oracle (2/2)
Insert results into the DB via prepared statements for performance
PreparedStatement InsertPstmt = conn.prepareStatement("Insert into CRYOGEO_RACETRACK(Magnet_Nu,Step,Reference_Meas,
Magnet_Name,Stage,Aperture,Y,RTrack) values(?,?,?,?,?,?,?,?)");
InsertPstmt.setInt(1,Integer.parseInt(AdminData[0]));
InsertPstmt.setString(2,AdminData[1]);
InsertPstmt.setInt(3,Integer.parseInt(AdminData[2]));
InsertPstmt.setString(4,AdminData[3]);
InsertPstmt.setString(5,AdminData[4]);
for(i=0;i<ShapeAp1[0].length;i++){
InsertPstmt.setInt(6,1);
InsertPstmt.setDouble(7,Double.parseDouble(
ShapeAp1[0][i].toString()));
InsertPstmt.setDouble(8,RaceTrack[0][i+1]);
InsertPstmt.executeUpdate();
}//for
for(i=0;i<ShapeAp2[0].length;i++){
InsertPstmt.setInt(6,2);
ShapeAp2[0][i].toString()));
InsertPstmt.setDouble(8,RaceTrack[1][i+1]);
InsertPstmt.close();
conn.commit();
conn.close();
Assign values to bind variables and close objects and connection
HOW TO SOLVE THE PROBLEM
IMS06, 20 June, 2006, Elena Wildner