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undergraduate thesis
Numeričko rješavanje nelinearnih jednadžbi s primjenama u elektrotehnici
2021. urn:nbn:hr:190:585589
Belužić, Luka
University of Rijeka
Faculty of Engineering
Department of Mathematics, Physics, and Foreign Languages
Section of Applied Mathematics

Cite this document

Belužić, L. (2021). Numeričko rješavanje nelinearnih jednadžbi s primjenama u elektrotehnici (Undergraduate thesis). Rijeka: University of Rijeka, Faculty of Engineering. Retrieved from https://urn.nsk.hr/urn:nbn:hr:190:585589

Belužić, Luka. "Numeričko rješavanje nelinearnih jednadžbi s primjenama u elektrotehnici." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2021. https://urn.nsk.hr/urn:nbn:hr:190:585589

Belužić, Luka. "Numeričko rješavanje nelinearnih jednadžbi s primjenama u elektrotehnici." Undergraduate thesis, University of Rijeka, Faculty of Engineering, 2021. https://urn.nsk.hr/urn:nbn:hr:190:585589

Belužić, L. (2021). 'Numeričko rješavanje nelinearnih jednadžbi s primjenama u elektrotehnici', Undergraduate thesis, University of Rijeka, Faculty of Engineering, accessed 08 January 2025, https://urn.nsk.hr/urn:nbn:hr:190:585589

Belužić L. Numeričko rješavanje nelinearnih jednadžbi s primjenama u elektrotehnici [Undergraduate thesis]. Rijeka: University of Rijeka, Faculty of Engineering; 2021 [cited 2025 January 08] Available at: https://urn.nsk.hr/urn:nbn:hr:190:585589

L. Belužić, "Numeričko rješavanje nelinearnih jednadžbi s primjenama u elektrotehnici", Undergraduate thesis, University of Rijeka, Faculty of Engineering, Rijeka, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:190:585589

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Metadata
TitleNumeričko rješavanje nelinearnih jednadžbi s primjenama u elektrotehnici
Title (english)Numerical solving of nonlinear equations with applications in electrical engineering
AuthorLuka Belužić
MentorIvan Dražić (mentor)
MentorViktor Sučić (komentor)
Committee memberViktor Sučić (predsjednik povjerenstva)
Committee memberIvan Dražić (član povjerenstva)
GranterUniversity of Rijeka
Faculty of Engineering
(Department of Mathematics, Physics, and Foreign Languages)
(Section of Applied Mathematics)
Rijeka
Defense date and country2021-07-07, Croatia
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Electrical Engineering
Abstract
U ovome radu opisane su metode za numeričko rješavanje nelinearnih jednadžbi te njihova primjena u elektrotehnici. Razradene su metode otvorenih i zatvorenih domena. U metodama otvorenih domena razrađene su metoda bisekcije te metoda regula falsi. Kroz primjere prikazana je njihova sporija konvergencija u odnosu na metode otvorenih domena. Iz metoda otvorenih domena razrađene su: iteracija s fiksnom točkom , Newton-Raphsonova metoda te metoda sekante. Uz pomoć programskih jezika MATLAB i Python napravljeni su algoritmi koji su pomogli u rješavanju primjera. U radu je također prikazana primjena numeričkih metoda u elektrotehnici preko primjera termistora kojemu je potrebno izračunati otpor uz pomoć temperature.
Abstract (english)
This paper describes methods for numerical solution of nonlinear equations and their application in electrical engineering. Closed domain (bracketing) methods and open domain methods have been developed. From the closed domain (bracketing) methods, the bisection method and false position method were developed. The examples show their slower convergence compared to open domain methods.From the open domain methods, the following are developed: iteration with a fixed point, Newton-Raphson method and secant method. With the help of the MATLAB and Python programming languages, algorithms were designed to help solve the examples.The paper also presents the application of numerical methods in electrical engineering through the example of a thermistor that needs to calculate resistance using temperature.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:190:585589
Study programmeTitle: Undergraduate University Study of Electrical Engineering
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka elektrotehnike)
Type of resourceText
File originBorn digital
Access conditionsAccess restricted to students and staff of home institution
Terms of useLicence In copyright icon
Created on2021-10-25 06:45:52