Disruption Analysis of PP, VV, and Components

Summary:

1.Plasma shape from square to close to circular2.Matched conductivity in brackets and bolts with measurements from Hatcher

1. Agree well with Hatcher results if same conductivity used for cyclic symmetric model

2. Increased toroidal current and disruption loads

3. P1-P5 Slow VDE1. Linearized stress on primary plate

1. Membrane ~45 MPa2. Membrane+bending ~65 MPa

2. Linearized stress on secondary plate should be smaller

4. P1-P5 Fast VDE1. Similar pushing force and max moment2. Bolt stress due to large pulling force

-200

-150

-100

-50

0

50

100

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

1/2 “ Plate P1 to P5 Slow VDE – Net Toroidal Current

Matched Conductivity Model

-200

-150

-100

-50

0

50

100

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

SS Conductivity Model

TOSCA Current Flow

1 Volt

0 Volt

0 Volt

1 Volt

Resistance Match by adjusting conductivity in bracket and bolts in 3D model

Cyclic symmetric model using Hatcher measurement conductivity

P1 to P5 Slow VDE – Eddy Current at 10 ms – SS Conductivity

Conductivity (S/m)

Passive Plate 5.07x107 (85% Cu)

Bracket 1.389x106 (SS)

Bolts 1.389x106 (SS)

SS conductivity used for Brackets

P1 to P5 Slow VDE – Eddy Current at 10 ms – Matched Conductivity

Conductivity (S/m)

Passive Plate 5.07x107 (85% Cu)

Bracket 2.1x106

Bolts 5.0x107

Higher conductivity for brackets to match overall measurements of resistance provided by Ron Hatcher

-25

-20

-15

-10

-5

0

5

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

-40

-20

0

20

40

60

80

100

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

1/2 “ Primary Plate P1 to P5 Slow VDE – EM Loads

SS Conductivity Model SS Conductivity Model

-40

-20

0

20

40

60

80

100

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

5

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

Matched Conductivity Model Matched Conductivity Model

Disruption Force and Moment on ½” Secondary Plate

-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

-40

-20

0

20

40

60

80

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

-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

SS Conductivity Model SS Conductivity Model

Matched Conductivity Model Matched Conductivity Model

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

Linearized Stresses:Primary PlatesMembrane ~45 MPaMem+Bend~65 MPa

1.2 mm max deflection

Stress Linearization

Static Stress on Lower Primary Plate at 20 ms Disruption Loads

Linearized Stresses:

Membrane ~31 MPa

Mem+Bend~46 MPa

Static Stress on Lower Primary Plate at 40 ms Disruption Loads

Linearized Stresses:

Membrane ~4 MPa

Mem+Bend~5.1 MPa

-6

-4

-2

0

2

4

6

8

10

12

0 0.002 0.004 0.006 0.008 0.01 0.012

Mom

ent (

kNm

)

Time (s)

Disruption Moments on SPPs P1-P5 Fast

Radial

Toroidal

Vertical

-80

-60

-40

-20

0

20

40

60

80

100

0 0.002 0.004 0.006 0.008 0.01 0.012

Forc

e (k

N)

Time (s)

Disruption Forces on SPPs P1-P5 Fast

Radial

Toroidal

Vertical

-20-18-16-14-12-10-8-6-4-2024

0 0.002 0.004 0.006 0.008 0.01 0.012

Mom

ent (

kNm

)

Time (s)

Disruption Moments on PPPs P1-P5 Fast

Radial

Toroidal

Vertical

-140-120-100-80-60-40-200

20406080100120

0 0.002 0.004 0.006 0.008 0.01 0.012Forc

e (k

N)

Time (s)

Disruption Forces on PPPs P1-P5 Fast

Radial

Toroidal

Vertical

P1-P5 Fast Disruption Force and Moment on ½” Primary Plate

Matched Conductivity ModelMatched Conductivity Model

Matched Conductivity ModelMatched Conductivity Model

Primary Plate Primary Plate

Secondary PlateSecondary Plate