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Use of He Gas Cooled by Liquid Hydrogen with a 15-T Pulsed Copper Solenoid Magnet

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Use of He Gas Cooled by Liquid Hydrogen with a 15-T Pulsed Copper Solenoid Magnet. K.T. McDonald Princeton University, P.O. Box 708, Princeton, NJ 08544, USA M. Iarocci and H.G. Kirk. Brookhaven National Laboratory, P.O. Box 5000, Upton, NY 11973, USA G.T. Mulholland (deceased) - PowerPoint PPT Presentation
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K. McDonald ICEC23-ICMC2010, Wroclaw July 20, 2010 1 Use of He Gas Cooled by Liquid Hydrogen with a 15-T Pulsed Copper Solenoid Magnet K.T. McDonald Princeton University, P.O. Box 708, Princeton, NJ 08544, USA M. Iarocci and H.G. Kirk. Brookhaven National Laboratory, P.O. Box 5000, Upton, NY 11973, USA G.T. Mulholland (deceased) Applied Cryogenics Technology, P.O. Box 2158, Ovilla, TX 75154, USA P.H. Titus. Princeton Plasma Physics Laboratory, P.O. Box 451, Princeton, NJ 08543, USA R.J. Weggel Particle Beam Lasers, Inc., 18925 Dearborn Street, Northridge, CA 91324,USA International Cryogenic Engineering Conference 23 – International Cryogenic Materials Conference 2010 (Wroclaw, Poland, July 20, 2010)
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Page 1: Use of He Gas Cooled by Liquid Hydrogen  with a 15-T Pulsed Copper Solenoid Magnet

K. McDonald ICEC23-ICMC2010, Wroclaw July 20, 2010 1

Use of He Gas Cooled by Liquid Hydrogen with a 15-T Pulsed Copper Solenoid Magnet

K.T. McDonaldPrinceton University, P.O. Box 708, Princeton, NJ 08544, USA

M. Iarocci and H.G. Kirk.Brookhaven National Laboratory, P.O. Box 5000, Upton, NY 11973, USA

G.T. Mulholland (deceased)Applied Cryogenics Technology, P.O. Box 2158, Ovilla, TX 75154, USA

P.H. Titus.Princeton Plasma Physics Laboratory, P.O. Box 451, Princeton, NJ 08543, USA

R.J. WeggelParticle Beam Lasers, Inc., 18925 Dearborn Street, Northridge, CA 91324,USA

International Cryogenic Engineering Conference 23 –International Cryogenic Materials Conference 2010

(Wroclaw, Poland, July 20, 2010)

Page 2: Use of He Gas Cooled by Liquid Hydrogen  with a 15-T Pulsed Copper Solenoid Magnet

K. McDonald ICEC23-ICMC2010, Wroclaw July 20, 2010 2

Cool Magnets to Lower Their Resistance – and Their Power Consumption

We considered a 15-T, 20-cm-diameter, warm bore, pulse copper solenoid.Would require 70 MW to operate at room temperature.Favorable to operate at ~ 30 K, to reduce resistance by a factor of 30.If go below 30 K, the very low heat capacity of copper leads to rapid temperature

rise.

0

0.4

0.8

1.2

1.6

2.0

2.4

2.8

3.2

3.6

30 60 90 120 150 180 210 240 270 3000

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

/cp

cp

Temperature [K]

He

at

cap

acity

cp [J

/cm

3 K

]

Re

sist

ivity

[

cm

] an

d r

atio

/c

p

, cp and /c

p for High-Purity Copper (=0.05 cm below 20 K)

0.05

0.07

0.10

0.14

0.2

0.3

0.5

20 40 60 80 10030 50 70 90

Ratio, /cp

Resistivity, [cm]

Heat capacity, cp [J/cm

3K]

Temperature [K]

, cp and /c

p for High-Purity Copper at Very Low Temperature

Heat capacity, CP

Resistivity,

/CP

T (K) T (K)

/CP

Resistivity,

Heat capacity, CP

Page 3: Use of He Gas Cooled by Liquid Hydrogen  with a 15-T Pulsed Copper Solenoid Magnet

K. McDonald ICEC23-ICMC2010, Wroclaw July 20, 2010 3

Cooling Concept: He gas + LH2 Heat ExchangerThe concept is simple – and we foresaw low-cost implementation using recycled

components. “Weathered”20,000 literLH2 Dewar

Surplus heat exchanger

(from the SSC)

15-T pulsedcopper magnet20-cm-diameterwarm bore

(new)

Vent H2 gas to

atmosphere

Circulate heliumgas thru magnet to cool it

Concept based on directcooling of aluminum andcopper magnet coils byliquid hydrogen and liquid neon in the late 1950’s.Laquer, RSI 28, 875 (1957)

After the success of large,high-field superconductingmagnets in early 60’s, thisconcept was largely forgotten.

Page 4: Use of He Gas Cooled by Liquid Hydrogen  with a 15-T Pulsed Copper Solenoid Magnet

K. McDonald ICEC23-ICMC2010, Wroclaw July 20, 2010 4

Choice of CryogensOnly candidates are H2, He and Ne.

Magnets sometimes catch fire don’t cool directly with hydrogen.Heat capacity per liter same for He and Ne gas, so use cheaper He gas.

Quality factor Q for the refrigeration of the circulating gas via liquid cryogen consumption (boiling in the heat exchanger) was defined as

Q (kJ/$US) = HV L (1 m3/1000 liter) (liter/$US).

That is, Q is a kiloJoule of heat-of-vaporization/$US at TNBP.

An operational cycle of the system involved a 10-s-long pulse of the 15-T magnet during which 18 MJ = 18,000 kJ of energy was generated, followed by a 30-min cooldown.

LH2 Cooling Cost = 18,000 / Q = $300 per pulse.

LHe Cooling Cost = (60/0.85) (LH2 Cooling Cost) = $21,000 per pulse.

LNe Cooling Cost = (60/0.60) (LH2 Cooling Cost) = $30,000 per pulse.

Clearly, liquid hydrogen is favored economically.

Fluid TNBPHV

L Cost Q

K kJ /kg kg/m3 $US/liter kJ /$USHe 4.2 20.3 124.9 3.00 0.85H2 20.3 446.0 70.8 0.53 59.58Ne 27.1 85.8 1207.0 173.00 0.60N2 77.3 199.0 808.0 0.07 2297.03

(Costs from 2002)

Page 5: Use of He Gas Cooled by Liquid Hydrogen  with a 15-T Pulsed Copper Solenoid Magnet

K. McDonald ICEC23-ICMC2010, Wroclaw July 20, 2010 5

What Came of This?We developed a PI diagram and presented it to the Lab Safety Committee.

But when an 8-MW power supply became available, we used it, along with liquid nitrogen cooling of the magnet.

(Thanks to F. Haug for the LN2 cryo system of the CERN MERIT Experiment.)


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