Disruption Analysis of PP, VV, and Components

Model includes bracket conducting path on back of PPs

Disruption cases:• Mid plane fast disruption (1 ms)• VDE (P1 to P5 plasma center translation) and quench

• fast quench at P5 (1 ms) • slow quench at P5 (40 ms - slow VDE in Titus’ case)

• worst case?

Conductivity (S/m) Skin depth

Passive Plate 5.07x107 (85% Cu) 2.25 mm

Bracket 1.389x106 (SS) 13.7 mm

VV 1.389x106 (SS) 13.7 mm

CS Casing 0.7576x106 (SS) 13.7 mm

Electrical conductivity and skin depth (1ms disruption)

Skin Depth at Fast Disruption

The skin depth of copper passive plates is only ~2-2.5 mm during 1 ms plasma disruption

3

7731025.2

10066.51014.341014.3

112

f

Br (T) Bz (T)

Without plasma 0.152 -0.465

With plasma t=0 -0.0265 -0.439

End of disruption 0.038 -0.264

Background fields at center of lower PPPs (1.2, 0.72, -0.8) m

Fast mid-plane centered disruption 2 MA/msBack ground field OH, TF and PF coils (#79)

Eddy Current - Mid-plane Fast Disruption

color – eddy current density

arrow – eddy current flow

Eddy Current – P1-P5 VDE and Fast Disruption

color – eddy current density

arrow – eddy current flow

Eddy current at end of disruption

Eddy Current in Front Face of PPs – Mid-plane Fast Disruption

skin depth

Eddy current at end of disruption

Eddy Current in Front Face of PPs – P1-P5 VDE then Fast Disruption

skin depth

No loop is observed

Eddy current at end of disruption

Eddy Current in Back Face of PPs – Mid-plane Fast Disruption

Eddy current at end of disruption

Eddy Current in Back Face of PPs – P1-P5 VDE then Fast Disruption

Eddy Current in Brackets – Mid-plane Fast Disruption

Total Toroidal Current Induced during Fast Disruption

Lower PPP center Br (T) Bz (T)

coil background field (#79) 0.152 -0.465

with plasma at =0 -0.0265 -0.439

with plasma at 1ms 0.038 -0.264

X (m) Y (m) Z (m)

1.2 0.72 -0.8

Background fields at center of lower PPPs (1.2, 0.72, -0.8) m

Center of lower PPPs

0

200

400

600

800

1000

1200

0 0.0005 0.001 0.0015 0.002

Tota

l tor

oida

l cur

rent

(MA)

Time (s)

Toroidal Current during Mid-plane Disruption

CS Casing

VV

LPP

LSP

UPP+USP

Disruption Loads on PPPs – Mid-plane Fast Disruption

X (m) Y (m) Z (m)

1.2 0.72 -0.8

Moment center of lower PPPs

-40

-35

-30

-25

-20

-15

-10

-5

0

5

10

0 0.0005 0.001 0.0015 0.002

Forc

e (k

N)

Time (s)

Disruption Forces on PPPs

Radial

Toroidal

Vertical

-8

-7

-6

-5

-4

-3

-2

-1

0

1

0 0.0005 0.001 0.0015 0.002

Mom

ent (

kNm

)

Time (s)

Disruption Moments on PPPs

Radial

Toroidal

Vertical

Disruption Loads on PPPs – P1-P5 VDE then Fast Disruption

X (m) Y (m) Z (m)

1.2 0.72 -0.8

Moment center of lower PPPs

-140

-120

-100

-80

-60

-40

-20

0

20

40

60

0 0.002 0.004 0.006 0.008 0.01 0.012

Forc

e (k

N)

Time (s)

Disruption Forces on PPPs

Radial

Toroidal

Vertical

-18

-16

-14

-12

-10

-8

-6

-4

-2

0

2

4

0 0.002 0.004 0.006 0.008 0.01 0.012

Mom

ent (

kNm

)

Time (s)

Disruption Moments on PPPs

Radial

Toroidal

Vertical

Disruption Loads on PPPs – P1-P5 Slow VDE (40 ms Disruption)

X (m) Y (m) Z (m)

1.2 0.72 -0.8

Moment center of lower PPPs

-30

-20

-10

0

10

20

30

40

50

0 0.01 0.02 0.03 0.04 0.05 0.06

Forc

e (k

N)

Time (s)

Disruption Forces on PPPs

Radial

Toroidal

Vertical

-18

-16

-14

-12

-10

-8

-6

-4

-2

0

0 0.01 0.02 0.03 0.04 0.05 0.06

Mom

ent (

kNm

)

Time (s)

Disruption Moments on PPPs

Radial

Toroidal

Vertical

Mid Disruption Analysis of Upper PPs

Mid Disruption Analysis of Lower PPs

Mid Disruption Analysis of Upper PPs

Disruption Analysis of Upper PPs