1989
DOI: 10.1088/0029-5515/29/6/011
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Plasma modelling for the control of vertical instabilities in tokamaks

Abstract: A linearized non-rigid MHD consistent displacement model is shown to be adequate to the study of the vertical stability of a plasma in an air core or iron core tokamak. This simple but accurate approach, which can be extended to the study of shape and radial position control, can be used in determining the limits of validity of the linear approximation and simulating the behaviour of a detection system based on a set of flux measurements. The method provides a basis for the optimization of position measurement… Show more

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Cited by 69 publications
(29 citation statements)
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“…This equation has to be completed with the static equation relating the inputs (the u vector) and the state variables to the output variables to be controlled. The matrices in equation (15) are calculated by using numerical codes (see [12][13][14][15] for more details). The dimension of the state space vector x depends on the number of finite elements used to discretize the tokamak structure (typical values is about 100-200 and depends on the size of the machine).…”
Section: Solution Of the Grad-shafranov Equationmentioning
confidence: 99%
“…This equation has to be completed with the static equation relating the inputs (the u vector) and the state variables to the output variables to be controlled. The matrices in equation (15) are calculated by using numerical codes (see [12][13][14][15] for more details). The dimension of the state space vector x depends on the number of finite elements used to discretize the tokamak structure (typical values is about 100-200 and depends on the size of the machine).…”
Section: Solution Of the Grad-shafranov Equationmentioning
confidence: 99%
“…Vertically elongated plasmas experience a vertical instability that has to be actively controlled, by means of a radial magnetic field [3], created by a set of poloidal field coils. The controller tries to maintain the plasma vertical velocity and current on the circuit around zero.…”
Section: A Descriptionmentioning
confidence: 99%
“…. , n} by a small amount δI k,0 [13]. This approach has been extensively used to derive linear models for control systems design, although attention must be paid to the fact that most freeboundary codes require the plasma to be stabilized while computing the perturbed equilibrium after an external current variation, and the computation of L * becomes tricky.…”
Section: Linearization and Controller Designmentioning
confidence: 99%