How Long to Read Safety Factor Profile Control in a Tokamak

By Federico Bribiesca Argomedo

How Long Does it Take to Read Safety Factor Profile Control in a Tokamak?

It takes the average reader 1 hour and 38 minutes to read Safety Factor Profile Control in a Tokamak by Federico Bribiesca Argomedo

Assuming a reading speed of 250 words per minute. Learn more

Description

Control of the Safety Factor Profile in a Tokamak uses Lyapunov techniques to address a challenging problem for which even the simplest physically relevant models are represented by nonlinear, time-dependent, partial differential equations (PDEs). This is because of the spatiotemporal dynamics of transport phenomena (magnetic flux, heat, densities, etc.) in the anisotropic plasma medium. Robustness considerations are ubiquitous in the analysis and control design since direct measurements on the magnetic flux are impossible (its estimation relies on virtual sensors) and large uncertainties remain in the coupling between the plasma particles and the radio-frequency waves (distributed inputs). The Brief begins with a presentation of the reference dynamical model and continues by developing a Lyapunov function for the discretized system (in a polytopic linear-parameter-varying formulation). The limitations of this finite-dimensional approach motivate new developments in the infinite-dimensional framework. The text then tackles the construction of an input-to-state-stability Lyapunov function for the infinite-dimensional system that handles the medium anisotropy and provides a common basis for analytical robustness results. This function is used as a control-Lyapunov function and allows the amplitude and nonlinear shape constraints in the control action to be dealt with. Finally, the Brief addresses important application- and implementation-specific concerns. In particular, the coupling of the PDE and the finite-dimensional subsystem representing the evolution of the boundary condition (magnetic coils) and the introduction of profile-reconstruction delays in the control loop (induced by solving a 2-D inverse problem for computing the magnetic flux) is analyzed. Simulation results are presented for various operation scenarios on Tore Supra (simulated with METIS) and on TCV (simulated with RAPTOR). Control of the Safety Factor Profile in a Tokamak will be of interest to both academic and industrially-based researchers interested in nuclear energy and plasma-containment control systems, and graduate students in nuclear and control engineering.

How long is Safety Factor Profile Control in a Tokamak?

Safety Factor Profile Control in a Tokamak by Federico Bribiesca Argomedo is 96 pages long, and a total of 24,576 words.

This makes it 32% the length of the average book. It also has 30% more words than the average book.

How Long Does it Take to Read Safety Factor Profile Control in a Tokamak Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 14 minutes to read Safety Factor Profile Control in a Tokamak aloud.

What Reading Level is Safety Factor Profile Control in a Tokamak?

Safety Factor Profile Control in a Tokamak is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Safety Factor Profile Control in a Tokamak?

Safety Factor Profile Control in a Tokamak by Federico Bribiesca Argomedo is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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