Understanding AC losses for LHC magnets

What can we learn about heat exchange?

• Understanding AC losses• Removing heat from the coil

– Magnet (temperature) margin– Measuring on stack of cables– Comparing to magnet

• Evaluating heat transfer in real magnet

• Conclusion

• L. Krempaský• P. Tixador• A. P. Verweij• D. Richter• I. Béjar Alonso• H. Fajard• A. A. Akhmetov

• L. Krempaský, C. Schmidt: SAV & KfK• A. P. Verweij: CERN & TUT• A. A. Akhmetov, A. Devred, T. Ogitsu: SSCL

• BICCs, RRL, AB

Removing heat from the coil

),( HeHecab TqTTT

cabT

HeT

q

K.91

.,,,_

,_

etccccotherwise

regimeStationary

CuNbTiHe

)()( HecabHecrtcabcrtmar TTTTTTT

Magnet temperature margin

• Intuitive meaning

• Somehow find the weak point of the coil:

• Cable temperature at weak point:

• Cable critical temperature at the same I, B:

• Temperature margin:

• Trade it for stability, current, cooling …

• What about heat deposition?

cabcrtmar TTT

HeT

cabT

)( )(,, outinstrstrstr qqTBIf

crtT

)/(1

)/()(

Hecabmar

HecabHecrt

TTT

TTTT

• Helium temperature was not in:

• Operational margin:

Parenthesis:

• C. Meuris, B. Baudouy, L. Burnod, D. Leroy, B. Szeless

• Cryogenics 31(1991)7, 624

Workshop on LHC Technology, Chamonix ‘93

EPAC London ‘94

B. Baudouy, Thesis 1996

Cryogenics 39(1999) , 921

Measuring on stack of cables

For wider temperature range

.. and yet wider range

Comparing to magnet

• Stationary regime, otherwise as well

• THe : 1.9 K, 1 m model in vertical cryostat, no beam pipes

CuNbTiHe ccc ,,

),( HeHecab TqTTT

Can we get more results in magnets?

Few model magnets of the 1st and 2nd generation still exist

Test data have been stored in archives

Evaluating heat transfer in real magnet

),( HeHecab TqTTT

125

24

Heating the coil

•Heaters, AC power, radiation, AC loss

•Inter filament coupling, hysteresis loss, interstrand

coupling loss, loss due to BICCs

•Needed: dominant ISCL and uniform => low and uniform

RC

• Tcab : no thermometer available => strand as a thermometer

• Strand quenching due to overheat => – training well advanced in particular, if low T is of interest,– Hot spot and quench localization, quench identified as local overheat

• B well known,

• Iquench well known (BICCs negligible),Ic spread and degradation due to cabling uniform, known, negligible

),( HeHecab TqTTT Temperature of the cable

Conclusion

• Evaluation of the coil to He heat transfer from the RRL of

magnets is a valuable option.

• CERN may have in its archives worthy data.

• The evaluation is laborious. It needs quite good

understanding of magnet electrodynamics and very good

knowledge of the concrete evaluated magnet.

• It is not known, if the available data are sufficient, nor if

• The measured magnets were suitable for such evaluation.

• One can know only after doing some pre-evaluation.

0

1

2

3

4

5

0 5 10 15 20 25 30 35

Power loss density (mW/cm3)

Tcab-T

b (

K)

CE1 (I 2 = 0 A)

JS1 (I 2 = 2.9 kA)

Calc. q =6500 Wm-3K-1

Figure 8.2. The estimate of the increase of the cable temperature due to a heat dissipation in the cable of the CE1 and JS1 magnets, deduced from the RRL with a precycle at Tb=1.9 K (t2=0). The linear dotted line shows the calculated relation using eq. 8.13 with q=6.5103 Wm‑3K‑1.

Verweij A.P.: Electrodynamics of Superconducting Cables in Accelerator Magnets, Thesis, University of Twente, 1995.

• At 1.9 K, no quenches could be performed at small , that is small Pc, because the training curve was not completed. Fig. 8.19 clearly shows that the conversion from a Iq‑ curve to a Tcab‑Pc curve results in relatively large errors if no precycle is performed, because it is obvious that Tcab(0)=Tb if no BICCs are present. Extrapolation of the lower curves (deduced from the Iq,p-values) supports this condition while extrapolation of the upper curves gives offset temperatures of about 1 K. Therefore, only the quenches with a precycle will give representative values for the temperature increase of the cable due to heat dissipation in the coil. The current of quenches performed without precycle can be strongly affected by the BICCs, which subsequently results in an overestimate of Tcab.

• Quenches with a precycle have only been performed on a few magnets. Figs. 8.20 and 8.21 show the relations Tcab‑Pc as deduced from the quench currents at 1.9 and 4.3 K. A linear approximation according to eq. 8.13 is given as well.

Verweij A.P.: Electrodynamics of Superconducting Cables in Accelerator Magnets, Thesis, University of Twente, 1995.

• Fig. 8.20 shows that at Tb=1.9 K the cable temperature increases by about 1.5 K for a heat dissipation of 10 mW/cm3. The error is estimated to be smaller than 0.5 K and is mainly caused by:

• the use of an average Rc that is too large or too small compared to the local Rc in the turn where the quench starts, which results in a decrease, respectively increase, of the calculated power loss,

• additional BICCs in the cable, which results in an increase of the calculated cable temperature.

Verweij A.P.: Electrodynamics of Superconducting Cables in Accelerator Magnets, Thesis, University of Twente, 1995.

• It is very encouraging that the temperature increase of about 1.5 K at Pc=10 mW/cm3 corresponds within 0.5 K to that deduced from the two experiments on small stacks of cable pieces (see Fig. 8.7). This proves not only that the temperature increase of a cable can be deduced by combining the electrical loss measurement and RRL of a coil, but also that the main mechanisms determining the RRL of magnets are well evaluated. Furthermore, the quantitative agreement between the various methods shows that the effective cooling surfaces of the cable in the coil itself and in a single stack are about the same (for power losses larger than Pc=10 mW/cm3), although the stress levels in a coil are much higher which could in fact reduce the size of the cooling channels considerably.

Verweij A.P.: Electrodynamics of Superconducting Cables in Accelerator Magnets, Thesis, University of Twente, 1995.