appl. math. dept. of stc “sintez”, efremov research ... · appl. math. dept. of stc...

Thermohydraulic Analysis of the Thermohydraulic Analysis of the ITER Magnet SystemsITER Magnet Systems

•• Toroidal Fields CoilsToroidal Fields Coils• Winding & Case• Cryoplant interface

•• Poloidal Field CoilsPoloidal Field Coils• Winding• Cryoplant interface

•• Central SolenoidCentral Solenoid• Winding• Cryoplant interface

Appl. Math. Dept. of STC “SINTEZ”, Efremov Research Institute, St. Petersburg, RF

Numerical Simulation of the TF Numerical Simulation of the TF Magnet Cooling System: ModelMagnet Cooling System: Model

•• Hydraulic LayoutHydraulic Layout(Two closed cooling circuits with the cryolines, feeders, pumps, valves and heat exchangers for the TF Winding and the TF Case separately )

•• Winding cooling circuitWinding cooling circuit•• 11--dimensional finite element model for the transient dimensional finite element model for the transient

compressed flows of SHe in the conductor channels, compressed flows of SHe in the conductor channels, cooling pipes and cryolinescooling pipes and cryolines

•• 7 pairs of channels for the individual modeling of 7 7 pairs of channels for the individual modeling of 7 pancakes (half of the TF winding)pancakes (half of the TF winding)

•• Opposite He flow direction in a double pancakeOpposite He flow direction in a double pancake

•• Case cooling circuitCase cooling circuit•• 25+25 (for half of the coil) TF case cooling pipes for two 25+25 (for half of the coil) TF case cooling pipes for two

separate refrigerating circuits controlled by the valvesseparate refrigerating circuits controlled by the valves

•• Coil structureCoil structure•• 22--dimensional finite element model for the transient dimensional finite element model for the transient

thermal problem in the TF Coil crossthermal problem in the TF Coil cross--sectionssections•• 32 variable TF Coil cross sections (case & winding) in 32 variable TF Coil cross sections (case & winding) in

poloidal directionpoloidal direction•• Space and time distribution of the heat loads along and Space and time distribution of the heat loads along and

across the TF coilacross the TF coil•• Space and time distribution of AC losses and nuclear Space and time distribution of AC losses and nuclear

heating in the pancakesheating in the pancakes

VINCENTAVINCENTA v.4.1 codev.4.1 code


Numerical Simulation of the TF Numerical Simulation of the TF Magnet Cooling System: ResultsMagnet Cooling System: Results

The general numerical model is treated by VINCENTA v.4.1 codeThe general numerical model is treated by VINCENTA v.4.1 code


0 50 100 150 200 250 300 3504.4

4.5

4.6

4.7

4.8

4.9

5

5.1

5.2

6.5 s100 s130 s230 s330 s430 s530 s630 s725 s825 s925 s1245 s1590 s1690 s1790 s1800 (0) s

Channel Length [m]

Tem

pera

ture

[K

]

turn_1 turn_2

Coil structureCoil structureCase cooling circuitCase cooling circuit

Temperature evolution of the TF conductor for pancake #5 during plasma pulse (“odd” pancake, C63) (no controllability).

0 2 4 6 8 10 12 14 164.4

4.6

4.8

5

5.2

5.4

5.6

5.8

6

6.2


Channel Length [m]

Tem

pera

ture

[K

]

Temperature distribution along the "long" cooling pass #4 (“front” wall) during 1800 s plasma pulse (no controllability)

Winding cooling circuitWinding cooling circuit

Temperature diagram for section # 9 (middle plane) at 530 s (end of plasma burning).

Normal Normal operation operation

without without controllabilitycontrollability





5

6

7

8




Coil structureCoil structureCase cooling circuitCase cooling circuit

Temperature evolution of the TF conductor for pancake #5 during plasma pulse (“odd” pancake, C63).

Temperature distribution along the "long" cooling pass #4 (“front” wall) during 1800 s plasma pulse.


Temperature diagram for section # 9 (middle plane) at 530 s (end of plasma burning).


with with controllability controllability


with with controllabilitycontrollability


with with controllabilitycontrollability

0 50 100 150 200 250 300 3504.3

4.4

4.5

4.6

4.7

4.8

4.9

5

5.1

5.2

5.3


Channel Length [m]

Tem

pera

ture

[K

]

turn_1 turn_2

0 2 4 6 8 10 12 14 164.2

4.4

4.6

4.8

5

5.2

5.4

5.6

5.8

6

6.2

6.4

6.6


Channel Length [m]

Tem

pera

ture

[K

]

5

6

7

8




Coil structureCoil structureCase cooling circuitCase cooling circuitWinding cooling circuitWinding cooling circuit

Temperature diagram for section # 9 (middle plane) at 590 s (oneminute pass after 9th plasma pulse ended by plasma disruption).

Temperature evolution of the TF conductor for pancake #5 (“odd” pancake, C63) during 9th

plasma pulse ended by plasma disruption.

Temperature distribution along the "long" cooling pass #4 (“front” wall) during 9th plasma pulse ended by plasma disruption.

0 50 100 150 200 250 300 3504.2

4.4

4.6

4.8

5

5.2

5.4

5.6

5.8


Channel Length [m]

Tem

pera

ture

[K

]

turn_1 turn_2

0 2 4 6 8 10 12 14 164

4.5

5

5.5

6

6.5

7

7.5

8

8.5

9

9.5


Channel Length [m]

Tem

pera

ture

[K

]

Operation with plasma disruptionOperation with plasma disruption

6

8

10

12

14




Case cooling circuitCase cooling circuit

SHe temperature and Pressure evolution in the feeder C73, cryoline C74, heat exchanger C75, cryoline C76 and feeder C77 during 9th plasma pulse ended by plasma disruption.

SHe temperature and pressure evolution in the feeder C53, cryoline C54, heat exchanger C55, cryoline C56 and feeder C57 during 9th plasma pulse ended by plasma disruption.


Operation with plasma disruptionOperation with plasma disruption

0 50 100 150 200 2504.2

4.4

4.6

4.8

5

5.2

5.4

5.6

5.8

6


x (m)

Tem

pera

ture

(K

)

16 246

0 20 40 60 80 100 120 140 1604

4.5

5

5.5

6

6.5

7

7.5

8


x (m)

Tem

pera

ture

(K

)

21 131

0 50 100 150 200 250 3000.45

0.5

0.55

0.6

0.65

0.7

0.75

0.8


x (m)

Pres

sure

(M

Pa)

16 246

0 20 40 60 80 100 120 140 1600.5

0.6

0.7

0.8

0.9

1

1.1

1.2

1.3

1.4

1.5

1.6

1.7


x (m)

Pres

sure

[M

Pa]

21 131




Total: Winding & Coil structureTotal: Winding & Coil structureCase cooling circuitCase cooling circuit

Evolution of the heat released in the cooling circuit and absorbed by heat exchanger.

Evolution of the heat released in the cooling circuit and absorbed by heat exchanger.


Evolution of the total power absorbed by both heat exchangers.

0 1 2 3 4 5 6 7 80

5

10

15

20

25

30

Q_cryoplant (total)Q_cryoplant (average)

PULSE

HEA

T

LOA

D [

kW]

0 1 2 3 4 5 6 7 80

5

10

15

20

25

30

Q_cryoplantQ_case & pumpQ_average

PULSE

HEA

T

LOA

D [

kW]

0 1 2 3 4 5 6 7 80

5

10

15

20

Q_cryoplantQ_winding & pumpQ_average

PULSE

HEA

T

LOA

D [

kW]

Normal operation under Cryoplant Controllability (TF Case circuiNormal operation under Cryoplant Controllability (TF Case circuit adjusted only)t adjusted only)

0 1 2 3 4 5 6 7 80.3

0.4

0.5

0.6

0.7

0.8

0.9

1

After the pumpBefore the pump

PULSE

PRES

SUR

E [M

Pa]

0 1 2 3 4 5 6 7 80.3

0.35

0.4

0.45

0.5

0.55

0.6

0.65

0.7

After the pumpBefore the pump

PULSE

PRES

SUR

E [M

Pa]

Evolution of the He pressure before and after the pump.

Evolution of the He pressure before and after the pump.

0 1 2 3 4 5 6 7 80

500

1000

1500

2000

2500

3000

3500

4000

pumpcontrol valvebypass valve

PULSE

MA

SS F

LOW

RA

TE (

g/s)

Evolution of the He mass flow rate through the pump, control and bypass valves (TF Case cooling circuit).

Numerical Simulation of the PF Numerical Simulation of the PF Magnet Cooling System: ModelMagnet Cooling System: Model

Thermohydraulic ModelThermohydraulic Model

VINCENTA v.4.codeVINCENTA v.4.code


•• 11--dimensional finite element model for the dimensional finite element model for the transient compressed flows of transient compressed flows of SHeSHe in the in the conductor channels, cooling pipes and conductor channels, cooling pipes and cryolinescryolines•• 17 pairs of channels for the individual 17 pairs of channels for the individual modeling of 6 PF coils modeling of 6 PF coils •• individual distribution of the heat loads in individual distribution of the heat loads in space and time among the conductors including space and time among the conductors including AC losses, Nuclear heating, joint losses etc.AC losses, Nuclear heating, joint losses etc.•• cryoplantcryoplant interface: centrifugal pump, heat interface: centrifugal pump, heat exchanger, exchanger, controllcontroll & bypass valves& bypass valves

Channel geometry and hydraulic parametersChannel

#Cross section

area, mm2HydraulicID, mm

Length,m

Comments

C1-C2 351.1 0.42 196 Cable Spaces of PF1 cablesC3-C5 277.3 0.54 280 Cable Spaces of PF2 cablesC6-C8 277.3 0.54 441 Cable Spaces of PF3 cablesC9-C11 277.3 0.54 144 Cable Spaces of PF4 cables

C12-C14 294.8 0.47 144 Cable Spaces of PF5 cablesC15-C17 351.1 0.42 144 Cable Spaces of PF6 cablesC18- C34 78.5 10 - Central channel of PF1-PF6 cablesC41, C43 5030 80 80 Return & Supply Cryolines

C42 20000 20 20 Heat ExchangerC35-40, C44-49 1257 40 16 Return & Supply pipes

PF conductorsPF1&6 PF2,3&4 PF5

coolant normal / backup inlet 4.7K /4.4K inlet 4.7K inlet 4.7KType of Strand NbTi NbTi NbTi

Operating Current (kA) normal / backup 45 / 52 45 / 52 45 / 52Nominal Peak Field (T) normal / backup 6.0 / 6.4 4.0 5.0

Operating Temperature (K)normal / backup 5.0 / 4.7 5.0 5.0

Equiv. Disch. Time Constant (s) hot spot 18 18 18Tcs (K) normal / backup 6.5 / 6.27 6.65 / 6.51 6.60 / 6.51Iop/Ic normal / backup 0.127 / 0.144 0.365 / 0.422 0.264 / 0.305Cable diameter (mm) 38.2 34.5 35.4

Central spiral od x id (mm) 12 x 10 12 x 10 12 x 10Conductor OD (mm) 53.8 x 53.8 52.3 x 53.2 51.9 x 51.9

Jacket steel steel steel

sc strand diam (mm) 0.73 0.73 0.72sc strand cu : non-cu 1.6 6.9 4.4

cabling pattern3x4x4x5x6 ((3x3x4+1)

x4+1)x6((3x3x4+1)

x5+1)x6sc strand Nr 1440 864 1080

Cu core 2/3/4 stage (mm) 0/0/0 0 / 1.8 / 3.5 0 /1.2 /2.7ocal Void Fraction (%) in strand bundle 34.5 34.2 34.3

Helium in Annulus (mm2) 351.1 277.3 294.8Helium in strand bundle (mm2) 334.5 261.2 278.6

Total Helium Area (mm2) 429.6 355.8 373.3SC strand total perimeter (m)

[twisted]3.302

[3.390]1.981

[2.034]2.443

[2.508]A-ncu (mm2)

[twisted]229.3

[241.3]45.2

[47.6]80.5

[84.8]

A-cu sc str (mm2)[twisted]

366.8[386.1]

312.4[328.8]

354.3[373.0]

A-cu extra (mm2)[twisted]

0[0]

118.4[120.9]

67.9[69.5]

SC strand weight/m of conductor (kg/m) 4.885 2.931 3.564? P/L (Pa/m) at 5K@5bar 8 g/s 66.9 69.1 71.4

J cable space (A/mm2) normal / backup 39.26 / 45.37 48.14 / 55.62 45.72 / 52.83Conductor Cost (IUA/m) 1.26 0.97 1.05

Numerical Simulation of the PF Numerical Simulation of the PF Magnet Cooling System: ResultsMagnet Cooling System: Results

VINCENTA v.4.1 codeVINCENTA v.4.1 code


Generalized view of the temperature evolution for all simulated PF cables.

Evolution of the SHe pressure along the PF cooling loop for the repetitive pulsing mode.

0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6500

0

500

1000

1500

2000

pumpcontrol valvebypass valve

PULSE

MA

SS F

LOW

RA

TE (

g/s)

Evolution of the SHe mass flow rate through the pump, the control and by-pass valves

Numerical Simulation of the PF Numerical Simulation of the PF Magnet Cooling System: ResultsMagnet Cooling System: Results

VINCENTA v.4.1 codeVINCENTA v.4.1 code


Evolution of the Evolution of the SHeSHe temperature and mass flow rate at the inlet/outlet of the PF3 ctemperature and mass flow rate at the inlet/outlet of the PF3 conductorsonductors

0 50 100 150 2004.6

4.8

5

5.2

InletOutlet

Time (min)

Tem

pera

ture

(K

)

PF3: “top”

0 50 100 150 2004.6

4.65

4.7

4.75

4.8

4.85

InletOutlet

Time (min)

Tem

pera

ture

(K

)

PF3: “regular”

0 50 100 150 2004.6

4.7

4.8

4.9

5

5.1

InletOutlet

Time (min)

Tem

pera

ture

(K

)

PF3: “bottom”

0 50 100 150 2006

7

8

9

10

InletOutlet

Time (min)

Mas

s flo

w ra

te (g

/s)

PF3: “top”

0 50 100 150 2006

7

8

9

10

InletOutlet

Time (min)

Mas

s flo

w ra

te (g

/s)

PF3: “regular”

0 50 100 150 2006

7

8

9

10

InletOutlet

Time (min)

Mas

s flo

w ra

te (g

/s)

PF3: “bottom”

Numerical Simulation of the CSMC Numerical Simulation of the CSMC & CS Insert Cooling system: Model& CS Insert Cooling system: Model

ThermohydraulicsThermohydraulics::

VINCENTA v.4.1 VINCENTA v.4.1


•• 11--dimensional finite element model for the dimensional finite element model for the transient compressed flows of transient compressed flows of SHeSHe in the in the conductor channels, cooling pipes and conductor channels, cooling pipes and cryolinescryolines•• 18 pairs of conductors for modeling of 10+8 18 pairs of conductors for modeling of 10+8 solenoid layers solenoid layers •• distribution of AC losses in space and time of distribution of AC losses in space and time of solenoid conductorssolenoid conductors•• two separate cooling loop for Inner & Outer two separate cooling loop for Inner & Outer Modules controlled by valvesModules controlled by valves•• cryoplantcryoplant interface: centrifugal pump, heat interface: centrifugal pump, heat exchanger, control & bypass valvesexchanger, control & bypass valves

Coil structure:Coil structure:•• 22--dimensional finite dimensional finite element model for the element model for the transient thermal problem in transient thermal problem in the CSMC crossthe CSMC cross--sectionssections•• 5 cross sections in 5 cross sections in circumferencecircumference Insert

Inner ModuleOuter Module

Supporting Structure

1m

Joint

Buffer Spacer

Numerical Simulation of the CSMC Numerical Simulation of the CSMC & CS Insert Cooling system : Results& CS Insert Cooling system : Results



Temperature diagram for CSMC Winding & Buffer zone at 6th minute of pulse during repetitive pulsing mode.

Generalized view of He mass flow rate evolution along the conductors of layers number 1 through 18. Option 1.

Generalized view of conductor temperature evolution for layers number 1 through 18. Option 1.

0 200 400 600 800 1000 1200 1400 1600 1800 20004

6

8

10

12

14

16

0 s (30 min)32.5 s37.5 s1 min2 min6 min10 min14 min18 min22 min26 min

X [m]

Mas

s flo

w ra

te [g

/s]

0 200 400 600 800 1000 1200 1400 1600 1800 20004.2

4.4

4.6

4.8

5

5.2

5.4

5.6

5.8

6

0 s (30 min)32.5 s37.5 s1 min2 min6 min10 min14 min18 min22 min26 min

X [m]

Tem

pera

ture

[K

]

•Option 1: mass flow rate is 370 g/s, effective time constant nτ is 50 ms, and repetitive time of pulsing trep is 30minutes.•Option 2: mass flow rate is 185 g/s and another parameters as Option 1.•Option 3: effective time constant nτ is 100 ms and another parameters as Option 1.•Option 4: repetitive time of pulsing trep is 20 minutes and another parameters as Option 1.

Validation of the CSMC Model: Validation of the CSMC Model: Calculating & Experimental DataCalculating & Experimental Data

Evolution of temperatures at inlet and outlet of the CSMC for series of current pulses.



Evolution of pressure at inlet and outlet of the CSMC for series of current pulses.

Calculation

0 2000 4000 6000 8000 1 104 1.2 104

4.4

4.6

4.8

5

5.2

5.4

5.6

5.8

Coil InletCoil Outlet

Time (sec)

Tem

pera

ture

(K

)

0 2000 4000 6000 8000 1 104 1.2 10

4.4

4.6

4.8

5

5.2

5.4

5.6

5.8

CSV_TC_TB_CB40XCSV_TC_TB_CB40E

Time (sec)

Tem

pera

ture

(K

)

Experiment

0 2000 4000 6000 8000 1 104 1.2 1040.45

0.5

0.55

0.6

0.65

0.7

0.75

0.8

0.85

0.9

0.95

1

Coil InletCoil Outlet

Time (sec)

Pres

sure

(MPa

)

0 2000 4000 6000 8000 1 104 1.2 1040.45

0.5

0.55

0.6

0.65

0.7

0.75

0.8

0.85

0.9

0.95

1

CSV_PT_PI_CB40XCSV_PT_PI_CB40E

Time (sec)

Pres

sure

(MPa

)ExperimentCalculation

Experiment with the series of current pulses 30 kA, 40 kA, 43 kA and 46 kA


Evolution of temperatures at inlet and outlet of the outer CSMC module.



Evolution of temperatures at inlet and outlet of the inner CSMC module.

Calculation ExperimentExperimentCalculation

0 2000 4000 6000 8000 1 104 1.2 1044.4

4.6

4.8

5

5.2

5.4

5.6

5.8

6

CSV_TC_TB_CS1ECSV_TC_TB_CS1X

Time (sec)

Tem

pera

ture

(K

)

0 2000 4000 6000 8000 1 104 1.2 1044.4

4.6

4.8

5

5.2

5.4

5.6

5.8

6

Inner Module InletInner Module Outlet

Time (sec)

Tem

pera

ture

(K

)

0 2000 4000 6000 8000 1 104 1.2 104.4

4.5

4.6

4.7

4.8

4.9

5

5.1

5.2

5.3

CSV_TC_TB_CS2ECSV_TC_TB_CS2X

Time (sec)

Tem

pera

ture

(K

)

0 2000 4000 6000 8000 1 104 1.2 1044.4

4.5

4.6

4.7

4.8

4.9

5

5.1

5.2

5.3

Outer Module InletOuter Module Outlet

Time [sec]

Tem

pera

ture

(K

)



Evolution of the She temperatures at outlet of 8 (A) conductors of the outer CSMC module for 46 kA current pulse.



Evolution of temperatures at outlet of 10 (A) conductors of the inner CSMC module for 46 kA current pulse.

Calculation ExperimentExperimentCalculation

0 500 1000 1500 2000 2500 3000

4.5

5

5.5

6

6.5

7

MCI_TC_01AOMCI_TC_02AOMCI_TC_03AOMCI_TC_04AOMCI_TC_05AOMCI_TC_06AOMCI_TC_07AOMCI_TC_08AOMCI_TC_09AOMCI_TC_10AO

Time (sec)

Tem

pera

ture

(K

)

0 500 1000 1500 2000 2500 3000

4.5

5

5.5

6

6.5

7

1A2A3A4A5A6A7A8A9A10A

Time (s)

Tem

pera

ture

[K

]

0 500 1000 1500 2000 2500 30004.4

4.6

4.8

5

5.2

5.4

5.6

5.8

6

6.2

11A12A13A14A15A16A17A18A

Time (s)Te

mpe

ratu

re

[K]

0 500 1000 1500 2000 2500 30004.4

4.6

4.8

5

5.2

5.4

5.6

5.8

6

6.2

MCO_TC_11AOMCO_TC_12AOMCO_TC_13AOMCO_TC_14AOMCO_TC_15AOMCO_TC_16AOMCO_TC_17AOMCO_TC_18AO

Time (sec)

Tem

pera

ture

(K

)


Numerical Simulation of the Numerical Simulation of the CICC Conductor PerformanceCICC Conductor Performance

Quench AnalysisQuench Analysis i

k

ki

iii

AxV

t

∑ ρΓ

=∂

∂ρ+

∂∂ρ

( )i

k

Vki

h

iiiiiii

ii

ADVVf

VPxt

V

i

∑ ρΓ

+ρ−

=ρ+∂∂

+∂

∂ρ 22

i

k

Hki

m

convmi

iiii

i

iiii A

QV

HVx

PVH

t

∑∑ ρΓ+

=⎟⎟⎠

⎞⎜⎜⎝

⎛+ρ

∂∂

+⎟⎟⎠

⎞⎜⎜⎝

⎛

ρ−+ρ

∂∂

22

22

( ) 0=−⋅+ Heiki

kk TTh

nT∂∂

κ

),( txnTk

k ϕ∂∂

κ =

⎟⎠⎞

⎜⎝⎛

∂∂

⋅κ∂∂

+⎟⎠⎞

⎜⎝⎛

∂∂

κ∂∂

+=∂∂

rT

rTrrx

TT

xtrxq

tT

TC kk

kkkV

kk )(

1)(),,()(

mk TT =

( ) ( )Extm

n

condnm

i

convim

Joulem

mmmmm

mmmmm

QQQQx

TkAkAxt

TCACA

++++

+⎟⎠⎞

⎜⎝⎛ +−=+

∑∑∂∂

∂∂θ

∂∂ 221122211 cos


Stability AnalysisStability Analysis

67 68 69 70 71 72 73 74 75 76 77 78 79 80Length, m

5

10

15

20

25

30

35

40

45

50

55

60

65

70T, KTime=1s 2s 3s 4s 5s 6s 7s 8s 9s 10s 15s 20s 24s

24s

1.0s

...

CICC stability diagram for the 1st cabling stage

Evolution of the strand temperature along the cable during the Quench (Current (40-0KA) and field (13.4-0T) Dump time constant: 15s)

Cable model treated byCable model treated by

VINCENTA VINCENTA -- Numerical Tools Numerical Tools for Thermohydraulic Analysis of for Thermohydraulic Analysis of

Cryogenic SystemsCryogenic Systems•• OVERVIEWOVERVIEW

The code VINCENTA is designed to enhance the simulation of transient thermohydraulic processes in cryogenic environment of superconducting magnet systems. An advanced, powerful calculation algorithm enables combined 1D, 2D and quasi-3D thermal calculations for a full range of operating modes, including normal operation, quench, ramping, cooldown and emergency. A rich set of easy-to-link mathematical models provide a maximum realistic approximations for system geometry, material properties, coolant behavior and accessory arrangement (piping, valves, pumps, etc).

•• OPERATIONAL FEATURESOPERATIONAL FEATURES• comprehensive full-scale mathematical simulation of both the whole system and its components;• forecasting simulation to help solving constructive problems from many points of view;• realistic modeling for a variety of cryogenic systems and operation conditions;• estimation of temperature distribution, coolant parameters, heat exchange, and nonlinear effects;• high adaptability for each particular application.

• APPLICATIONSAPPLICATIONSA multipurpose versatility, extensive calculation capability and high performance of the VINCENTA code allows a wide range of most demanding applications, including:• Fusion and particle accelerator magnets• MRI-magnets• Experimental and diagnostic devices for scientific research• Superconducting generators• Superconducting cables and joints


COND COND -- Numerical Tools for Numerical Tools for Thermohydraulic Analysis of SC Thermohydraulic Analysis of SC

Magnet SystemsMagnet Systems•• OVERVIEWOVERVIEW

The code COND is intended to simulate the long-term transient thermohydraulic processes such as cool-down, warm-up etc. in large SC Magnet Systems. An advanced, powerful calculation algorithm enables 3D thermal calculations for a full range of operating modes, providing a maximum realistic approximations for system geometry, material properties.

•• OPERATIONAL FEATURESOPERATIONAL FEATURES• comprehensive full-scale mathematical simulation of both the whole system and its components;• forecasting simulation to help solving constructive problems from many points of view;• realistic modeling for a variety of operation conditions;• estimation of temperature distribution, coolant parameters, heat exchange, and nonlinear effects;• high adaptability for each particular application.

• APPLICATIONSAPPLICATIONSA multipurpose versatility, extensive calculation capability and high performance of the CONDcode allows a wide range of most demanding applications, including:• Fusion and particle accelerator magnets• MRI-magnets• Experimental devices for scientific research• Superconducting generators


GLORY GLORY -- 3D Transient 3D Transient Thermohydraulic Analysis of SC Thermohydraulic Analysis of SC

Magnet SystemsMagnet Systems•• OVERVIEWOVERVIEW

The code GLORY is a versatile, integrated software for extensive analysis of thermohydraulic processes in superconducting magnet systems. An effective combination of problem-oriented packages enables numerical simulation of both stationary and transient thermohydraulic processes. The code provides a 3D dynamic analysis, with estimates of thermal field, heat load, heat transfer, and thermal inertia for cooled magnet structures (cables, coils, supports, etc). Flexible, maximum realistic models allow a comprehensive forecasting simulation to choose the best design and materials for each particular application.

•• HIGHLIGHTSHIGHLIGHTS• high-volume data processing;• full-scale real-time mathematical simulation of both the entire system and separate components;• enhanced modeling capability;• easy to adapt for exact needs.


The code provides an analysis of transient behavior of SC magnet systems for a wide range of geometry's, materials, cooling strategies and operational conditions. A 1,000÷10,000,000 node finite-element mesh may be used for calculation depending on the accuracy required.

KOMPOTKOMPOT--T. 3T. 3--D Thermostatic D Thermostatic Field ComputationField Computation

•• OVERVIEWOVERVIEWThe KOMPOT code is the well-proven integrated software designed for numerical simulation and analysis of 3D thermostatic field. An efficient calculation algorithm enables a versatile thermal field analysis using medium-scale computers. The numerical simulation provides a desired accuracy with the allowance for complex system geometry and non-linear effects..

•• HIGHLIGHTSHIGHLIGHTS• an efficient numerical simulation algorithm capable of precise thermostatic field analysis;• pre- and post processing of input/output data;• prolonged intensive wide-range applications.


PERFORMANCEPERFORMANCEThe numerical simulation algorithm is based on the classical Poisson equation, finite-element method, and symmetric successive overrelaxation method combined with a polynomial acceleration of a convergence rate. An effective integration with another special program packages using the same finite-element mesh makes it possible to obtain the heat releases distribution from the steady and eddy currents, induced by electrical and transient magnetic fields. Special calculating procedures allow to perform a combined thermohydraulic analysis together with the codes VINCENTA and COND, that allows take into account the heat exchange with a wide range of coolants (liquid and supercritical helium, water, etc) flowing in cooling channels; take into account the boil-of of coolants on the given surfaces

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REQUIREMENTSREQUIREMENTS•1000 ÷ 10,000,000 node mesh is possible for field analysis;

•mid-runtime full-scale precise calculations are provided on i586 PC or better

appl. math. dept. of stc “sintez”, efremov research ... · appl. math. dept. of stc...

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