magistrsko delo
Matic Knap (Author), Simon Širca (Mentor), Luka Snoj (Thesis defence commission member), Samo Gerkšič (Co-mentor)

Abstract

Magistrsko delo obravnava magnetno vodenje oblike plazme v tokamaku ITER. Najprej zapišemo osnovni magnetni model plazme, ki se uporablja pri simulaciji za vodenje. V kasnejših poglavjih se posvetimo samemu algoritmu za vodenje toka in oblike plazme. Predstavimo implementacijo magnetnega modela plazme in prediktivno metodo vodenja. Osredotočimo se na prilagoditve, ki so bile izvedene na obstoječem algoritmu za reševanje optimizacijskih problemov. Reševanje regulacijskega problema prediktivnega vodenja metodo poteka v dveh delih. Najprej model pripravimo za regulator z zaporedjem operacij, s katerim dobimo dosti bolj kompakten model, ki še vedno dobro opisuje dinamiko sistema. S tem zagotovimo robustnost in točnost metode. Prediktivno metodo pretvorimo v optimizacijski problem kvadratnega programiranja, ki ga rešujemo s hitro gradientno metodo prvega reda. Delo zajema tudi optimizacijo izvajanja programa. Sledi prikaz rezultatov simulacij, kjer prikažemo, da je izbrana metoda s prilagoditvami časovno ugodnejša od trenutnih komericalnih metod ob enaki natančnosti.

Keywords

tokamak ITER;plazma;regulacijski sistemi;računalniške simulacije;

Data

Language: Slovenian
Year of publishing:
Typology: 2.09 - Master's Thesis
Organization: UL FMF - Faculty of Mathematics and Physics
Publisher: [M. Knap]
UDC: 681.5:621.039.6
COBISS: 3148132 Link will open in a new window
Views: 2018
Downloads: 597
Average score: 0 (0 votes)
Metadata: JSON JSON-RDF JSON-LD TURTLE N-TRIPLES XML RDFA MICRODATA DC-XML DC-RDF RDF

Other data

Secondary language: English
Secondary title: Simulation of the Magnetic Plasma Shape Control for the tokamak ITER
Secondary abstract: The main subject of this master thesis is the current and shape control of plasma in the ITER tokamak. Firstly, we derive the basic magnetic model of a plasma, which is used for simulations. Later on we describe an algorithm for plasma current and shape control. The model predictive control (MPC) method is presented and the actual implementation of the magnetic model of plasma. We focus on modifications to the algorithm. Solving the plasma shape control problem with model predictive control is divided into two parts. Firstly, we transform the model by applying algebra to the problem. This ensures us robustness and accuracy of the algorithm. The MPC problem is converted to the optimization problem of quadratic programming (QP) which is solved using the fast gradient method. The thesis includes also the optimization of the execution time. Later on we present results of the simulations and show that the chosen method with modifications is more time efficient than currently available methods.
Secondary keywords: tokamak ITER;plasma;control systems;computer simulations;
Type (COBISS): Master's thesis/paper
Study programme: 0
Thesis comment: Univ. v Ljubljani, Fak. za matematiko in fiziko, Oddelek za fiziko
Pages: 91 str.
ID: 10913438