Ζητήματα αποκλίσεων σε υπολογιστικές μεθόδους ηλεκτρομαγνητισμού

Χατζηφώτης, Νικόλαος; Chatzifotis, Nikolaos

dc.contributor.author	Χατζηφώτης, Νικόλαος	el
dc.contributor.author	Chatzifotis, Nikolaos	en
dc.date.accessioned	2017-05-03T09:39:14Z
dc.date.available	2017-05-03T09:39:14Z
dc.date.issued	2017-05-03
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/44839
dc.identifier.uri	http://dx.doi.org/10.26240/heal.ntua.14088
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ελλάδα	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/gr/	*
dc.subject	Αποκλίσεις	el
dc.subject	Μαγνητική καθαρότητα	el
dc.subject	Σκέδαση	el
dc.subject	Μέθοδος βοηθητικών πηγών	el
dc.subject	Μοντέλο πολλαπλών μαγνητικών διπόλων	el
dc.subject	Divergence	en
dc.subject	Oscillations	el
dc.subject	MAS	el
dc.subject	MDM	el
dc.subject	Matlab	el
dc.title	Ζητήματα αποκλίσεων σε υπολογιστικές μεθόδους ηλεκτρομαγνητισμού	el
dc.title	Issues of divergence in electromagnetic numerical methods	en
heal.type	bachelorThesis
heal.classification	Ηλεκτρομαγνητισμός	el
heal.language	el
heal.access	free
heal.recordProvider	ntua	el
heal.publicationDate	2017-01-26
heal.abstract	Φαινόμενα αποκλίσεων που εμφανίζονται σε υπολογιστικές μεθόδους ηλεκτρομαγνητισμού όταν ο αριθμός των πηγών που χρησιμοποιούνται για να προσεγγιστεί το πεδίο αυξάνεται πάρα πολύ.	el
heal.abstract	This thesis revolves around the problems of electromagnetic scattering and magnetic cleanliness of a system. The complexity of these two problems leads to the application of numerical/computational methods such as MAS (Method of Auxiliary Sources) and MDM (Multiple magnetic Dipole Model) respectively. In both methods we try to approach an electromagnetic field through sources placed within the structure of the problem. In such efforts, issues of convergence of the method we use are due to appear. More specifically, we want to approach the respective field with the least possible deviation from the true field and to test whether our approach is mathematically correct. In the first two chapters, we present the MAS and highlight its advantages over other methods. Initially, we analyze how one applies MAS and discuss the equations that govern the method. Then, we test the convergence of the method on the actual scattered field. An interesting fact arises:If the sources of MAS are located at points inside a critical area, they oscillate rapidly. Such oscillations are not due to roundoff error. Nevertheless we can still approach the scattered field correctly. In the third chapter we compare the nature of these oscillations with these appearing in the EIE (Extended Integral Equation) method and we prove that they are not the same. In the next two chapters we present the MDM. The MDM is a numerical method for calculating the magnetic field of an object, a process that is of major importance in problems of magnetic cleanliness of system. Then, we analyze two key optimization algorithms for MDM. We show that the issues of oscillations/divergence that appear in MAS, also appear in MDM using codes in the Matlab environment Finally, in the chapter of conclusions, we explain the nature of these oscillations, why they are important and what problems they may cause.	en
heal.advisorName	Φικιώρης, Γιώργος	el
heal.committeeMemberName	Παναγόπουλος, Αθανάσιος	el
heal.committeeMemberName	Καψάλης, Χρήστος	el
heal.academicPublisher	Εθνικό Μετσόβιο Πολυτεχνείο. Σχολή Ηλεκτρολόγων Μηχανικών και Μηχανικών Υπολογιστών. Τομέας Συστημάτων Μετάδοσης Πληροφορίας και Τεχνολογίας Υλικών	el
heal.academicPublisherID	ntua
heal.numberOfPages	87 σ.
heal.fullTextAvailability	true