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New schemes for MHD stability control New schemes for MHD stability control in RFX-mod using the real-time MARTe in RFX-mod using the real-time MARTe framework framework Chiara Piron 3 rd PhD Event in Fusion Science and Engineering York, June the 23 rd 2013 boration with: G.Manduchi, L.Marrelli, P.Piovesan, P.Zanca, A.Garofalo, M. O
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New schemes for MHD stability control in RFX-mod using the real-time MARTe framework Chiara Piron 3 rd PhD Event in Fusion Science and Engineering York,

Mar 27, 2015

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Page 1: New schemes for MHD stability control in RFX-mod using the real-time MARTe framework Chiara Piron 3 rd PhD Event in Fusion Science and Engineering York,

New schemes for MHD stability control in RFX-mod New schemes for MHD stability control in RFX-mod using the real-time MARTe frameworkusing the real-time MARTe framework

Chiara Piron

3rd PhD Event in Fusion Science and EngineeringYork, June the 23rd 2013

In collaboration with: G.Manduchi, L.Marrelli, P.Piovesan, P.Zanca, A.Garofalo, M. Okabayashi

Page 2: New schemes for MHD stability control in RFX-mod using the real-time MARTe framework Chiara Piron 3 rd PhD Event in Fusion Science and Engineering York,

York, June the 23rd 2013 Chiara Piron

The RFX-mod experimentThe RFX-mod experiment

10-0.1

1

r/a

ar

Padova RFX-mod: a Reversed Field Pinch (RFP) that can operate also as a

Tokamak

Bt directionreversed

Comparable Bt, Bpamplitude

Bt

Bp

p

t

RB

rBq

1/10

Page 3: New schemes for MHD stability control in RFX-mod using the real-time MARTe framework Chiara Piron 3 rd PhD Event in Fusion Science and Engineering York,

York, June the 23rd 2013 Chiara Piron

The MHD stability problemThe MHD stability problem

Ip[kA]

q(a)

2/1 RWM Br [mT]

# 29774 ctrl OFF # 29797 ctrl ON

Ip[kA]

q(a)

1/6 RWM Br [mT]

# 18542 ctrl OFF # 18541 ctrl ONRFPTOKAMAK

AIM OF MY PhD ACTIVITY: develop and implement in realtime new feedback control strategies to counteract MHD instabilities to optimize the performance both in tokamak and RFP plasmas. Such control strategies can be used as control schemes in reactor-relevant scenarios, such as advanced

tokamak regimes

2/10

Page 4: New schemes for MHD stability control in RFX-mod using the real-time MARTe framework Chiara Piron 3 rd PhD Event in Fusion Science and Engineering York,

York, June the 23rd 2013 Chiara Piron

The RFX-mod feedback controlThe RFX-mod feedback control

How is it possible to control MHD instabilities?

3/10

Page 5: New schemes for MHD stability control in RFX-mod using the real-time MARTe framework Chiara Piron 3 rd PhD Event in Fusion Science and Engineering York,

York, June the 23rd 2013 Chiara Piron

The RFX-mod feedback controlThe RFX-mod feedback control

192 MAGNETIC SENSORS (Br, Bt, Bp)How is it possible to control MHD instabilities?

3/10

Page 6: New schemes for MHD stability control in RFX-mod using the real-time MARTe framework Chiara Piron 3 rd PhD Event in Fusion Science and Engineering York,

York, June the 23rd 2013 Chiara Piron

The RFX-mod feedback controlThe RFX-mod feedback control

192 MAGNETIC SENSORS (Br, Bt, Bp)How is it possible to control MHD instabilities?

3/10

Page 7: New schemes for MHD stability control in RFX-mod using the real-time MARTe framework Chiara Piron 3 rd PhD Event in Fusion Science and Engineering York,

York, June the 23rd 2013 Chiara Piron

The RFX-mod feedback controlThe RFX-mod feedback control

192 MAGNETIC SENSORS (Br, Bt, Bp) + 192 ACTIVE COILSHow is it possible to control MHD instabilities?

3/10

Page 8: New schemes for MHD stability control in RFX-mod using the real-time MARTe framework Chiara Piron 3 rd PhD Event in Fusion Science and Engineering York,

York, June the 23rd 2013 Chiara Piron

The RFX-mod feedback controlThe RFX-mod feedback control

192 MAGNETIC SENSORS (Br, Bt, Bp) + 192 ACTIVE COILS

MARTe fCYCLE = 5kHz

It is like opening and closing the shower turncock…

5000 times per second!

How is it possible to control MHD instabilities?

5kHz

3/10

Page 9: New schemes for MHD stability control in RFX-mod using the real-time MARTe framework Chiara Piron 3 rd PhD Event in Fusion Science and Engineering York,

York, June the 23rd 2013 Chiara Piron

Par == 1 ? CMC

Par == 2 ?

Par == 4 ?

Par == 3 ?

PLASMA RESPONSE

DOUBLE SHELL CMC

POLOIDAL CTRL

Extrapolation?

EXTRAPOLATOR

PID

FEEDFORWARDCURRENT

CURRENTFREEZING

PID

Cleaning?

Par == 0?

ReadingParameters

All Pars = 0

RAW CTRL

The MARTe frameworkThe MARTe framework

Multi-threaded Application Real-Time Executor [1]: a C++ development enviroment for real-time applications. It has been introduced in RFX-mod, where both software and hardware upgrades in the feedback control have been recently carried out

T F

T

T

T

T

T

T

F

F

F

F

F

Br, Bt spectrum Bp spectrum

active coils

4/10

[1] A. Netò et al., IEEE Trans. Nucl. Sci. 57 (2010)

Page 10: New schemes for MHD stability control in RFX-mod using the real-time MARTe framework Chiara Piron 3 rd PhD Event in Fusion Science and Engineering York,

York, June the 23rd 2013 Chiara Piron

Par == 1 ? CMC

Par == 2 ?

Par == 4 ?

Par == 3 ?

PLASMA RESPONSE

DOUBLE SHELL CMC

POLOIDAL CTRL

Par == 0? RAW CTRL

The MARTe frameworkThe MARTe framework

T

T

T

T

T

F

F

F

F

[2] Strait E.J. et al. 2003 Nuclear Fusion 43 430 [3] Liu et al. Plasma Phys. Control. Fusion 51 (2009)

Why so many control schemes?To contribute to the scientific debat on the optimal sensors for feedback:Poloidal sensor control is successful in tokamak experiments[2, 3] BUT the sensor are located inside the vessel, thus they can not be used in a fusion reactor. Radial sensors can be used instead BUT they are less effective because of sideband aliasing.

challenge: find the optimal algorithm to clean the radial measurements and make the radial magnetic field sensor control as much effective as the poloidal one

The Fourier harmonics of the signals

An analytic cylindrical model is applied to clean the sideband aliasing

A refinement of CMC where both the vessel and the shell are considered in the model

A control scheme that uses a 8X4 array of poloidal sensor

The field produced by the active coils is subtracted from the measurements

5/10

Page 11: New schemes for MHD stability control in RFX-mod using the real-time MARTe framework Chiara Piron 3 rd PhD Event in Fusion Science and Engineering York,

York, June the 23rd 2013 Chiara Piron

Par == 1 ? CMC

Par == 2 ?

Par == 4 ?

Par == 3 ?

PLASMA RESPONSE

DOUBLE SHELL CMC

POLOIDAL CTRL

Extrapolation?

EXTRAPOLATOR

PID

FEEDFORWARDCURRENT

CURRENTFREEZING

PID

Cleaning?

Par == 0?

ReadingParameters

All Pars = 0

RAW CTRL

The MARTe frameworkThe MARTe framework

Multi-threaded Application Real-Time Executor [1]: a C++ development enviroment for real-time applications. It has been introduced in RFX-mod, where both software and hardware upgrades in the feedback control have been recently carried out

T F

T

T

T

T

T

T

F

F

F

F

F

Br, Bt spectrum Bp spectrum

active coils

6/10

[1] A. Netò et al., IEEE Trans. Nucl. Sci. 57 (2010)

Page 12: New schemes for MHD stability control in RFX-mod using the real-time MARTe framework Chiara Piron 3 rd PhD Event in Fusion Science and Engineering York,

York, June the 23rd 2013 Chiara Piron

• The Plasma Response control scheme fails in suppressing the instability, regardless the applied proportional gain.Experiments with derivative gains are planned in the next future.

• Preliminary results seem to suggest that a proportional gain threshold exists for the growth rate saturation, as predicted by [1]

The Plasma Response control schemeThe Plasma Response control schemeFeedback variable = the component of the radial magnetic field that is obtained by subtracting the field produced by the active coils from the measurements

[4] G.Marchiori, et al., Nucl. Fus, 52 (2012)

RMC: unstablePlasma Response: unstableCMC: stable

RMC: unstablePlasma Response: unstableCMC: stable

GainGain

[4]

7/10

Page 13: New schemes for MHD stability control in RFX-mod using the real-time MARTe framework Chiara Piron 3 rd PhD Event in Fusion Science and Engineering York,

York, June the 23rd 2013 Chiara Piron

• Two similar discharges: #33576 reference shot#33634 frozen currents at t=[0.5, ..] s

• When q(a)<2 the 2/1 RWM always grows despite error fields are compensated

Error Field Correction (EFC)Error Field Correction (EFC)

Ip[kA]

q(a)

2/1 RWM Icoil [A]

2/1 RWM Br [mT]

# 33576 # 33634 freezing ON

Why does EFC seem not to work in RFX-mod?Probably because we are using the wrong

feedback variable Try to use the poloidal sensors instead

8/10

EFC control scheme was developed at the DIII-D tokamak to operate at high beta values and to investigate the RWM physics [5]

[5] A. Garofalo et al., PRL, 23 (2002)

Can the 2/1 RWM at q(a)<2 be destabilized by error fields?

Page 14: New schemes for MHD stability control in RFX-mod using the real-time MARTe framework Chiara Piron 3 rd PhD Event in Fusion Science and Engineering York,

York, June the 23rd 2013 Chiara Piron

Poloidal magnetic sensor controlPoloidal magnetic sensor control

#33808

Θ=342°

Θ=297°

Θ=252°

Θ=207°

#33808Bp signals [T] array @ φ=322.5°

2,1 RWM Bp [mT]#33808

9/10

2D FFT

beforeafter algorithm processing

before before (realtime) after algorithm processing

Page 15: New schemes for MHD stability control in RFX-mod using the real-time MARTe framework Chiara Piron 3 rd PhD Event in Fusion Science and Engineering York,

York, June the 23rd 2013 Chiara Piron

Conclusions and future plans..Conclusions and future plans..

• Active feedback control is an essential and effective tool to counteract the growth of MHD instabilities both in RFP and tokamak plasmas

• The development and of new MHD feedback algorithms contributes to the scientific debat on the optimal feedback control strategies (ITER relevance for advanced tokamak scenarios)

• The Plasma Response and the EFC are just two of the available RFX-mod control schemes that put light on the inner physics of RWM dynamics and act as benchmarks for theoretical models

To do..

Plasma Response, EFC and other control schemes are planned to be further tested in real experiments both in Tokamak and RFP campaigns

Data analyses on the collected data will be carried out to characterize the nature of the MHD instabilities and to extract theoretical model to describe their dynamics

10/10