Disruption Analysis of PP, VV, and Components

Summary:

1.Plasma shape from square to close to circular2.Benchmark again Hatcher’s 2D model results3.EM and structural analysis for P1-P5 Slow VDE

1. Plasma shape has some but limited impact 2. Agree well with Hatcher results if same

conductivity used3. P1-P5 Slow VDE

1. Peak disruption loads2. Linearized stress on primary plate

1. Membrane ~40 MPa2. Membrane+bending ~60 MPa

3. Linearized stress on secondary plate should be smaller

Electrical conductivity - Zhai

Eddy Current Centered Disruption – 60 Degree Model

Skin depth of conductivity - 8.207x105 (LPP used in Hatcher) at 1 ms disruption is 18 mm but 57 mm at 10 ms VDE

upper primary PP 8.387x105

upper secondary PP 6.113x105

lower primary PP 8.207x105

lower secondary PP 6.668x105

VV 1.389x106 (SS)

CS Casing 7.576x106

Electrical conductivity - Hatcher

Conductivity (S/m) Skin depth (1 ms)

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

3

5731018

10207.81014.341014.3

112

f

Skin depth is ~3 times thicker for 10 ms VDE

Br from Hatcher during P1-P5 slow VDE at 10 ms

Radial Field from Cyclic Symmetric Model – P1-P5 Slow VDE

Br from Zhai during P1-P5 slow VDE at 10 ms

Same conductivities of PPs used as in Hatcher

Very close agreement

Vertical Field from Cyclic Symmetric Model – P1-P5 Slow VDE

Same conductivities of PPs used as in Hatcher

Bz from Hatcher during P1-P5 slow VDE at 10 ms Bz from Zhai during P1-P5 slow VDE at 10 ms

Very close agreement

Eddy current at end of disruption

Same conductivities of PPs used as in Hatcher

Conductivity – 85% copper

Radial Field from Cyclic Symmetric Model – P1-P5 Slow VDE

Conductivity – 85% copper for plates with gaps using Hatcher conductivity

Vertical Field from Cyclic Symmetric Model – P1-P5 Slow VDE

Same conductivities of PPs used as in Hatcher

Conductivity – 85% copper

Conductivity – 85% copper for plates with gaps using Hatcher conductivity

P1 to P5 Slow VDE – Eddy Current at 10 ms

1/2 “ Plate P1 to P5 Slow VDE – Net Current and EM Loads

-30

-20

-10

0

10

20

30

40

50

60

70

0 0.01 0.02 0.03 0.04 0.05 0.06

Forc

e (k

N)

Time (s)

Disruption Forces on 1/2" PPPs - P1-P5 Slow

Radial

Toroidal

Vertical

-25

-20

-15

-10

-5

0

0 0.01 0.02 0.03 0.04 0.05 0.06

Mom

ent (

kNm

)

Time (s)

Disruption Moments on 1/2" PPPs - P1-P5 Slow

Radial

Toroidal

Vertical

-100

-80

-60

-40

-20

0

20

40

60

0 0.01 0.02 0.03 0.04 0.05 0.06

Toro

idal

cur

rent

(kA

)

Time, s

Toroidal current during disruption

LPP

LSP

-100

-80

-60

-40

-20

0

20

40

60

0 0.01 0.02 0.03 0.04 0.05 0.06

Toro

idal

cur

rent

(kA

)

Time, s

Toroidal current during disruption

LPP

LSP

New Model Previous Model

OPERA to ANSYS Load Mapping

Deflection of Lower Primary Plate at 10 ms under Peak Disruption Loads

Stresses on Lower Primary Plate at 10 ms (Peak Disruption Loads)

Linearized Stresses:

Membrane ~40 MPa

Mem+Bend~60 MPa

Sm for CuCrZr ~170 MPa

Disruption Analysis of PP, VV, and Components

-30

-20

-10

0

10

20

30

40

50

60

0 0.01 0.02 0.03 0.04 0.05 0.06

Forc

e (k

N)

Time (s)

Disruption Forces on 1/2" SPP P1-P5 Slow

Radial

Toroidal

Vertical

-8

-6

-4

-2

0

2

4

6

8

10

12

0 0.01 0.02 0.03 0.04 0.05 0.06

Mom

ent (

kNm

)

Time (s)

Disruption Moments on 1/2" SPP P1-P5 Slow

Radial

Toroidal

Vertical