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A Kalman filter for feedback control of rotating external kink instabilities in the presence of noisea)
a)Paper BI2 4, Bull. Am. Phys. Soc. 53, 22 (2008).
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10.1063/1.3110110
/content/aip/journal/pop/16/5/10.1063/1.3110110
http://aip.metastore.ingenta.com/content/aip/journal/pop/16/5/10.1063/1.3110110
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

Time histories of (a) control system power and (b) the sine component of poloidal field fluctuations from an external kink mode simulation with zero measurement noise and a proportional gain feedback law.

Image of FIG. 2.
FIG. 2.

Time histories of (a) control system power and (b) the sine component of poloidal field fluctuations from an external kink mode simulation with nonzero measurement noise and a proportional gain feedback law. In part (b), the gray waveform is the sum of the poloidal field measurement (black) and noise . The measurements with added noise (gray) are used to compute the control signal.

Image of FIG. 3.
FIG. 3.

Time histories of (a) control system power and (b) the sine component of poloidal field fluctuations from an external kink mode simulation with nonzero measurement noise, a proportional gain feedback law, and the Kalman filter. In part (b), the gray waveform is the sum of the poloidal field measurement (black) and noise . The measurements with added noise (gray) are used as an input for the Kalman filter. The Kalman filter’s output (red) is used to compute the control signal.

Image of FIG. 4.
FIG. 4.

A three-dimensional diagram of the HBT-EP experiment showing the locations of aluminum and stainless steel wall sections (gray and light blue) and poloidal sensor and radial control coils (dark blue and green).

Image of FIG. 5.
FIG. 5.

Shot-averaged time evolutions of the (a) plasma current, (b) edge safety factor, (c) perturbed amplitude, and (d) rotation frequency of the poloidal magnetic field from feedback off-HBT-EP discharges made during the experiments described here. The thin gray lines show the means plus and minus one standard deviation.

Image of FIG. 6.
FIG. 6.

rms-averaged poloidal field fluctuations from scans of the Kalman filter model’s growth rate parameter in (a) simulation and (b) experiment. The averages are normalized to the feedback off rms-average.

Image of FIG. 7.
FIG. 7.

rms-averaged poloidal field fluctuations from scans of the Kalman filter model’s rotation rate parameter in (a) simulation and (b) experiment. The averages are normalized to the feedback off rms-average. The scans were performed at two settings for the diagonal terms in the Kalman filter’s plant noise covariance matrices (diamonds) and (stars).

Image of FIG. 8.
FIG. 8.

The amplitude of the Fourier spectrum of poloidal field fluctuations measured in HBT-EP during a scan of the feedback phase angle is shown above. The radial axis marks the frequency of the Fourier spectrum and the polar axis marks the setting of . The peak of the feedback off frequency distribution occurs at 4 kHz and is marked on the color bar. The blue and red lines mark the locations of slices shown in Fig. 9(b).

Image of FIG. 9.
FIG. 9.

Fourier spectrum amplitude of poloidal field fluctuations for cases of feedback excitation (red, dashed line), no feedback (black, solid line), and feedback suppression (blue, dotted line) from experiments (a) before and (b) after optimization of Kalman filter parameters.

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2009-04-17
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: A Kalman filter for feedback control of rotating external kink instabilities in the presence of noisea)
http://aip.metastore.ingenta.com/content/aip/journal/pop/16/5/10.1063/1.3110110
10.1063/1.3110110
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