Low Effort Nuclear Fusion Plasma Control Using Model Predictive Control Laws

One of the main problems of fusion energy is to achieve longer pulse duration by avoiding the premature reaction decay due to plasma instabilities. The control of the plasma inductance arises as an essential tool for the successful operation of tokamak fusion reactors in order to overcome stability issues as well as the new challenges specific to advanced scenarios operation. In this sense, given that advanced tokamaks will suffer from limited power available from noninductive current drive actuators, the transformer primary coil could assist in reducing the power requirements of the noninductive current drive sources needed for current profile control. Therefore, tokamak operation may benefit from advanced control laws beyond the traditionally used PID schemes by reducing instabilities while guaranteeing the tokamak integrity. In this paper, a novel model predictive control (MPC) scheme has been developed and successfully employed to optimize both current and internal inductance of the plasma, which influences the L-H transition timing, the density peaking, and pedestal pressure. Results show that the internal inductance and current profiles can be adequately controlled while maintaining the minimal control action required in tokamak operation.

[1]  Aitor J. Garrido,et al.  Neural control for voltage dips ride-through of oscillating water column-based wave energy converter equipped with doubly-fed induction generator , 2012 .

[2]  M. Walker,et al.  Design and simulation of extremum-seeking open-loop optimal control of current profile in the DIII-D tokamak , 2008 .

[3]  M. De la Sen,et al.  Complementary Control of Oscillating Water Column-Based Wave Energy Conversion Plants to Improve the Instantaneous Power Output , 2011, IEEE Transactions on Energy Conversion.

[4]  Alfredo Portone,et al.  Overview of modelling activities for Plasma Control Upgrade in JET , 2011 .

[5]  D. J. Campbell,et al.  Chapter 1: Overview and summary , 1999 .

[6]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[7]  C. Kessel,et al.  Simulation of the hybrid and steady state advanced operating modes in ITER , 2007 .

[8]  Alfredo Pironti,et al.  A model-based technique for integrated real-time profile control in the JET tokamak , 2004 .

[9]  Izaskun Garrido Hernandez,et al.  Neural rotational speed control for wave energy converters , 2011, Int. J. Control.

[10]  Aitor J. Garrido,et al.  Control-oriented Automatic System for Transport Analysis (ASTRA)-Matlab integration for Tokamaks , 2011 .

[11]  Izaskun Garrido Hernandez,et al.  Observer-based real-time control for the poloidal beta of the plasma using diamagnetic measurements in tokamak fusion reactors , 2011, IEEE Conference on Decision and Control and European Control Conference.

[12]  A. Czornik,et al.  On the spectrum of discrete time-varying linear systems , 2013 .

[13]  I. T. Chapman,et al.  Controlling sawtooth oscillations in tokamak plasmas , 2010 .

[14]  M. De la Sen,et al.  Sliding-Mode Control of Wave Power Generation Plants , 2012, IEEE Transactions on Industry Applications.

[15]  J. Lister,et al.  Experimental vertical stability studies for ITER performance and design guidance , 2009 .

[16]  Aitor J. Garrido,et al.  Robust Sliding Mode Control for Tokamaks , 2012 .

[17]  Didier Mazon,et al.  Feedback control of the safety factor profile evolution during formation of an advanced tokamak discharge , 2006 .

[18]  Imad M. Jaimoukha,et al.  Modeling and control of TCV , 2005, IEEE Transactions on Control Systems Technology.

[19]  Kevin Barraclough,et al.  I and i , 2001, BMJ : British Medical Journal.

[20]  M. G. Sevillano,et al.  SLIDING-MODE LOOP VOLTAGE CONTROL USING ASTRA-MATLAB INTEGRATION IN TOKAMAK REACTORS , 2012 .

[21]  Izaskun Garrido Hernandez,et al.  ASTRA — Matlab integration for the control of tokamaks , 2009, 2009 IEEE International Conference on Control and Automation.

[22]  M Amundarain,et al.  Control strategies for OWC wave power plants , 2010, Proceedings of the 2010 American Control Conference.

[23]  A. Forbes Modeling and control , 1990, Journal of Clinical Monitoring.

[24]  F. Felici,et al.  Non-linear model-based optimization of actuator trajectories for tokamak plasma profile control , 2012 .

[25]  D. A. Humphreys,et al.  ITER startup studies in the DIII-D tokamak , 2008 .

[26]  Aitor J. Garrido,et al.  Performance of an Ocean Energy Conversion System with DFIG Sensorless Control , 2013 .

[27]  Jet Efda Contributors,et al.  A two-time-scale dynamic-model approach for magnetic and kinetic profile control in advanced tokamak scenarios on JET , 2008 .

[28]  Faa Federico Felici,et al.  From profile to sawtooth control: developing feedback control using ECRH/ECCD systems on the TCV tokamak , 2009 .

[29]  I. Garrido,et al.  Tokamak state-space control modeling , 2008, 2008 Canadian Conference on Electrical and Computer Engineering.

[30]  W. Marsden I and J , 2012 .

[31]  Alfredo Pironti,et al.  Magnetic Control of Tokamak Plasmas , 2008 .

[32]  J. A. Romero,et al.  Plasma internal inductance dynamics in a tokamak , 2010, 1009.1984.

[33]  Michal Niezabitowski,et al.  About the properties of the upper Bohl exponents of diagonal discrete linear time-varying systems , 2014, 2014 19th International Conference on Methods and Models in Automation and Robotics (MMAR).

[34]  Eugenio Schuster,et al.  Optimal Tracking Control of Current Profile in Tokamaks , 2011, IEEE Transactions on Control Systems Technology.

[35]  C. Giroud,et al.  Improved confinement in JET hybrid discharges , 2012 .

[36]  T. C. Luce,et al.  Realizing Steady State Tokamak Operation for Fusion Energy , 2009 .

[37]  Izaskun Garrido Hernandez,et al.  Neural control of the Wells turbine-generator module , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[38]  G. Ambrosino,et al.  Magnetic control of plasma current, position, and shape in Tokamaks: a survey or modeling and control approaches , 2005, IEEE Control Systems.

[39]  A. Czornik,et al.  Lyapunov exponents for systems with unbounded coefficients , 2013 .

[40]  Jerzy Klamka,et al.  Controllability of switched linear dynamical systems , 2013, 2013 18th International Conference on Methods & Models in Automation & Robotics (MMAR).

[41]  Massimiliano Mattei,et al.  Principal physics developments evaluated in the ITER design review , 2009 .

[42]  D. A. Humphreys,et al.  Understanding and predicting the dynamics of tokamak discharges during startup and rampdown , 2009 .

[43]  J. A. Leuer,et al.  Development of ITER 15 MA ELMy H-mode inductive scenario , 2008 .

[44]  Faa Federico Felici,et al.  Development and validation of a tokamak skin effect transformer model , 2012 .

[45]  Massimiliano Mattei,et al.  Current ramps in tokamaks: from present experiments to ITER scenarios , 2011 .

[46]  Aitor J. Garrido,et al.  Suboptimal Regulation of a Class of Bilinear Interconnected Systems with Finite-Time Sliding Planning Horizons , 2008 .