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undergraduate thesis
Pronalaženje maksimuma elektrostatskog potencijala unutar jednoliko nabijenog trokuta
Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing, 2014. urn:nbn:hr:168:033687
Horvat, Hrvoje
University of Zagreb
Faculty of Electrical Engineering and Computing

Institutional repository: FER Repository

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Horvat, H. (2014). Pronalaženje maksimuma elektrostatskog potencijala unutar jednoliko nabijenog trokuta (Undergraduate thesis). Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing. Retrieved from https://urn.nsk.hr/urn:nbn:hr:168:033687

Horvat, Hrvoje. "Pronalaženje maksimuma elektrostatskog potencijala unutar jednoliko nabijenog trokuta." Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2014. https://urn.nsk.hr/urn:nbn:hr:168:033687

Horvat, Hrvoje. "Pronalaženje maksimuma elektrostatskog potencijala unutar jednoliko nabijenog trokuta." Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, 2014. https://urn.nsk.hr/urn:nbn:hr:168:033687

Horvat, H. (2014). 'Pronalaženje maksimuma elektrostatskog potencijala unutar jednoliko nabijenog trokuta', Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, accessed 19 December 2024, https://urn.nsk.hr/urn:nbn:hr:168:033687

Horvat H. Pronalaženje maksimuma elektrostatskog potencijala unutar jednoliko nabijenog trokuta [Undergraduate thesis]. Zagreb: University of Zagreb, Faculty of Electrical Engineering and Computing; 2014 [cited 2024 December 19] Available at: https://urn.nsk.hr/urn:nbn:hr:168:033687

H. Horvat, "Pronalaženje maksimuma elektrostatskog potencijala unutar jednoliko nabijenog trokuta", Undergraduate thesis, University of Zagreb, Faculty of Electrical Engineering and Computing, Zagreb, 2014. Available at: https://urn.nsk.hr/urn:nbn:hr:168:033687

Metadata
TitlePronalaženje maksimuma elektrostatskog potencijala unutar jednoliko nabijenog trokuta
Title (english)Finding the maximum of the electrostatic potential within a uniformly charged triangle
AuthorHrvoje Horvat
MentorSaša Ilijić (mentor)
Committee memberDubravko Horvat (predsjednik povjerenstva)
Committee memberZoran Narančić (član povjerenstva)
Committee memberSaša Ilijić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Electrical Engineering and Computing
Zagreb
Defense date and country2014-07-14, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Electrical Engineering
Abstract
U ovom radu bavili smo se implementacijom numeričkog metode optimizacije za traženje točke maksimalnog potencijala unutar proizvoljnog, jednoliko nabijenog trokuta. Za implementaciju su korištene funkcije iz biblioteke GSL te gotova formula za potencijal proizvoljne točke unutar jednoliko nabijenog trokuta. U prvom djelu opisana je osnovna ideja za izvod formule za potencijal proizvoljne točke unutar jednoliko nabijenog trokuta. Zatim je opisan zadatak i karakteristike numeričkih metoda za optimizaciju te način rada „Downhill Simplex“ metode. Treće poglavlje bavi se implementacijom u programskom jeziku ANSI C. Nakon osnovnih informacija o GSL biblioteki opisana je implementacija formule za potencijal (funkcije trianglepot i analpot), algoritama za maksimizaciju (tripotminimizer) i funkcije za testiranj (treipot-tester). Na kraju se nalazi reprodukcija primjera iz natječaja Artes Calculi i usporedba rješenja.
Abstract (english)
In this work, we dealt with the implementation of numerical optimization method for searching the point of maximum potential within an arbitrary, uniformly charged triangle. For the implementation we used functions from the GSL library and ready-made formula for potential of arbitrary point inside the uniformly charged triangle. First part describes the basic idea for the derivation of the formula for potential arbitrary point inside the uniformly charged triangle. Then we described the task and characteristics of numerical methods for optimization and explain how „Downhill Simplex“ method work. The third chapter deals with the implementation in programming language ANSI C. After giving some basic information on GSL library we described the implementation of the formula for the potential (functions trianglepot and analpot), algorithms to maximize (tripotminimizer) and functions for testing (treipot-tester). At the end of the work we compere examples from the Artes Calculi's contest with our results.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:168:033687
Study programmeTitle: Electrical Engineering and Information Technology
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike i informacijske tehnologije (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike i informacijske tehnologije)
Type of resourceText
File originBorn digital
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Created on2018-02-05 17:34:07