Vyacheslav Klyukhin, SINP MSU

Simulation of magnetic toroids for CMS forward muon detection

April 22, 2013V. Klyukhin, General Muon mtg,

CERN1

V. Klyukhin, General Muon mtg, CERN

2

Motivation of the Proposals

April 22, 2013

V. Klyukhin, General Muon mtg, CERN

3

Initial Data

April 22, 2013

Parameters of the 13 toroids used in the IHEP-JINR Neutrino Detector (IHEP, Protvino):• Outer diameter: 4 m;• Inner square hole: 0.36 × 0.36 m²;• Thickness: 0.22 m (two disks of 0.11 m welded

together);• Weight: 25 t;• Material: Russian steel St08;• Number of turns in one coil: 34 of copper with cross-

section of 18.5 × 18.5 mm² and an inner hole of 10 mm diameter;

• Demineralized water consumption: 14.4 l/min;• Magnetic flux density at the inner radius: 1.9 T;• Magnetic flux density at the outer radius: 1.45 T;• Operational current: 907.6 A at 10.4 V;

V. Klyukhin, General Muon mtg, CERN

4

Data Used for Simulation

April 22, 2013

• Outer diameter: 5.2 m;• Inner diameter: 0.4 m;• Thickness: 0.34 or 0.78 m;• Weight: 55.5 or 127.3 t;• Material: vf steel;• Number of turns in one coil: 34 of copper with cross-

section of 18.5 × 18.5 mm²;• Coil cross section: 0.038 × 0.330 m²;• Current: 907.6 A at 10.4 V;

V. Klyukhin, General Muon mtg, CERN

5

Azimuthal magnetic flux density at Z=0 m (0.34 m)

April 22, 2013

V. Klyukhin, General Muon mtg, CERN

6

Azimuthal magnetic flux density at φ=0º (0.34 m)

April 22, 2013

V. Klyukhin, General Muon mtg, CERN

7

Azimuthal magnetic flux density at φ=45º (0.34 m)

April 22, 2013

V. Klyukhin, General Muon mtg, CERN

8

Azimuthal magnetic flux density at Z=0 m (0.34 m)

April 22, 2013

V. Klyukhin, General Muon mtg, CERN

9

Radial magnetic flux density at Z=0 m (0.34 m)

April 22, 2013

V. Klyukhin, General Muon mtg, CERN

10

Radial magnetic flux density at φ=0º (0.34 m)

April 22, 2013

V. Klyukhin, General Muon mtg, CERN

11

Radial magnetic flux density at φ=45º (0.34 m)

April 22, 2013

V. Klyukhin, General Muon mtg, CERN

12

Radial magnetic flux density at Z=0 m (0.34 m)

April 22, 2013

V. Klyukhin, General Muon mtg, CERN

13

Azimuthal magnetic flux density at Z=0 m (0.78 m)

April 22, 2013

V. Klyukhin, General Muon mtg, CERN

14

Azimuthal magnetic flux density at φ=0º (0.78 m)

April 22, 2013

V. Klyukhin, General Muon mtg, CERN

15

Azimuthal magnetic flux density at φ=45º (0.78 m)

April 22, 2013

V. Klyukhin, General Muon mtg, CERN

16

Azimuthal magnetic flux density at Z=0 m (0.78 m)

April 22, 2013

V. Klyukhin, General Muon mtg, CERN

17

Radial magnetic flux density at Z=0 m (0.78 m)

April 22, 2013

V. Klyukhin, General Muon mtg, CERN

18

Radial magnetic flux density at φ=0º (0.78 m)

April 22, 2013

V. Klyukhin, General Muon mtg, CERN

19

Radial magnetic flux density at φ=45º m (0.78 m)

April 22, 2013

V. Klyukhin, General Muon mtg, CERN

20

Radial magnetic flux density at Z=0 m (0.78 m)

April 22, 2013

V. Klyukhin, General Muon mtg, CERN

21

Layout of 6 Toroids from the Top (0.78 m)

April 22, 2013

V. Klyukhin, General Muon mtg, CERN

22

Azimuthal magnetic flux density at Z>0 m (0.78 m)

April 22, 2013

V. Klyukhin, General Muon mtg, CERN

23

Azimuthal magnetic flux density at Z<0 m (0.78 m)

April 22, 2013

V. Klyukhin, General Muon mtg, CERN

24

Conclusions

April 22, 2013

• The toroids could be located at Z-coordinates of ±11.5, ±12.58, and ±13.66 m (from 11.11 to 14.05 m) in place of the present HF, if it will be moved into the end-cap disks bore;

• The pseudorapidity coverage is from 2.39 to 4.02;• The space between the coil of two adjacent toroids is 0.2

m;• The azimuthal magnetic flux density is rather uniform

along the beam axis;• The radial magnetic flux density is negligible;• The azimuthal magnetic flux density varies from 1.73 to

2.18 T vs. radius for 0.78 m thick toroids;• The integrals of the azimuthal magnetic flux density vary

from 4.17 (η=2.4) to 4.96 (η=4) T·m for 0.78 m thick toroids.