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Modeling and control of TCV

Modeling and control of TCV
Modeling and control of TCV
A new approach to the modeling and control of tokamak fusion reactors is presented. A nonlinear model is derived using the classical arguments of Hamiltonian mechanics and a low-order linear model is derived from it. The modeling process used here addresses flux and energy conservation issues explicitly and self-consistently. The model is of particular value, because it shows the relationship between the initial modeling assumptions and the resulting predictions. The mechanisms behind the creation of uncontrollable modes in tokamak models are discussed. A normalized coprime factorization controller is developed for the Tokamak à Configuration Variable (TCV), CRPP-EPFL, Lausanne, Switzerland, tokamak using the linearized model, which has been extensively verified on the TCV and JT-60U, JAERI, Naka, Japan, tokamaks. Recent theory is applied to reduce the controller order significantly whilst guaranteeing a priori bounds on the robust stability and performance. The controller is shown to track successfully reference signals that dictate the plasma’s shape, position and current. The tests used to verify this were carried out on linear and nonlinear models.
Control systems, model reduction
1063-6536
356-369
Sharma, A.S.
cdd9deae-6f3a-40d9-864c-76baf85d8718
Limebeer, D.J.N.
7c57c622-c8ca-4541-b030-d36f07beca80
Jaimoukha, I.M.
1847dbb7-a054-4298-86aa-5fcef2404a5a
Lister, J.B.
f7fb57cd-7fba-4d54-b340-fc522a244cf4
Sharma, A.S.
cdd9deae-6f3a-40d9-864c-76baf85d8718
Limebeer, D.J.N.
7c57c622-c8ca-4541-b030-d36f07beca80
Jaimoukha, I.M.
1847dbb7-a054-4298-86aa-5fcef2404a5a
Lister, J.B.
f7fb57cd-7fba-4d54-b340-fc522a244cf4

Sharma, A.S., Limebeer, D.J.N., Jaimoukha, I.M. and Lister, J.B. (2005) Modeling and control of TCV. IEEE Transactions on Control Systems Technology, 13 (3), 356-369. (doi:10.1109/TCST.2004.841647).

Record type: Article

Abstract

A new approach to the modeling and control of tokamak fusion reactors is presented. A nonlinear model is derived using the classical arguments of Hamiltonian mechanics and a low-order linear model is derived from it. The modeling process used here addresses flux and energy conservation issues explicitly and self-consistently. The model is of particular value, because it shows the relationship between the initial modeling assumptions and the resulting predictions. The mechanisms behind the creation of uncontrollable modes in tokamak models are discussed. A normalized coprime factorization controller is developed for the Tokamak à Configuration Variable (TCV), CRPP-EPFL, Lausanne, Switzerland, tokamak using the linearized model, which has been extensively verified on the TCV and JT-60U, JAERI, Naka, Japan, tokamaks. Recent theory is applied to reduce the controller order significantly whilst guaranteeing a priori bounds on the robust stability and performance. The controller is shown to track successfully reference signals that dictate the plasma’s shape, position and current. The tests used to verify this were carried out on linear and nonlinear models.

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More information

Published date: May 2005
Keywords: Control systems, model reduction
Organisations: Aerodynamics & Flight Mechanics Group

Identifiers

Local EPrints ID: 350129
URI: https://eprints.soton.ac.uk/id/eprint/350129
ISSN: 1063-6536
PURE UUID: 0bc29185-7b7a-4fdb-9c14-51234a5adb7c
ORCID for A.S. Sharma: ORCID iD orcid.org/0000-0002-7170-1627

Catalogue record

Date deposited: 25 Mar 2013 12:51
Last modified: 31 Jul 2018 00:29

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