Matematički model uređaja za žetvu vibracijske energije

undergraduate thesis

• Title (english): Mathematical model of a vibration energy harvester
• Author: Pavao Banić
• Mentor: Neven Alujević (mentor)
• Granter: University of Zagreb; Faculty of Mechanical Engineering and Naval Architecture; Zagreb
• Defense date and country: 2021-09-29, Croatia
• Scientific / art field, discipline and subdiscipline: TECHNICAL SCIENCES; Mechanical Engineering; General Mechanical Engineering (Construction)

Abstract

U radu je razvijen matematički model elektromehaničkog uređaja za žetvu vibracijske energije.
Pretpostavljeno je da se mehanički dio uređaja sastoji od primarne mase vezane za krutu
podlogu jednim elastičnim i jednim prigušnim elementom. Nadalje, pretpostavljena je
dinamička uzbuda primarne mase silom koja se ponaša kao bijeli Gaussov šum. Na primarnu
masu ovješena je sekundarna masa također putem jednog elastičnog i jednog prigušnog
elementa. Između primarne i sekundarne mase postavlja se elektrodinamički pretvornik koji se
sastoji od magneta i zavojnice, gdje je zavojnica pričvršćena na primarnu masu, a magnet na
sekundarnu masu. Na električnim terminalima zavojnice potrebno je pretpostaviti otpornik na
kojem se razvija korisna električna snaga. U radu je izveden elektromehanički potpuno
spregnuti linearni model za matematički opis uređaja.
Određena je:
1) mehanička snaga disipirana na prigušnom elementu primarne mase;
2) mehanička snaga disipirana na prigušnom elementu u ovjesu sekundarne mase;
3) električna snaga disipirana na otporu zavojnice elektrodinamičkog pretvornika;
4) korisna električna snaga razvijena na otporniku spojenom na terminalima zavojnice;
5) ulazna mehanička snaga koju u sustav unosi uzbudna sila;
6) korisnost uređaja kao omjer korisne električne snage i ulazne mehaničke snage.

Abstract (english)

In this thesis a mathemathical model of a vibration energy harvester is developed. It is assumed
that the mechanical part of the device is made of a primary mass connected to a rigid base via
one spring and one damper. A dynamic excitation of the primary mass is assumed, where the
excitation force behaves like white Gaussian noise. A secondary mass is connected to the
primary mass also via one spring and one damper. Between the primary and the secondary mass
of the device, an electromechanical transducer is mounted which consists of a magnet attached
to the secondary mass and a coil attached to the primary mass. The coil terminals are shunted
with a resistor, which generates useful power. A fully coupled electromechanical linear model
of the device is developed. The following has been calculated:
1) mechanical power dissipated in the damper attached to the primary mass;
2) mechanical power dissipated in the damper within the suspension of the secondary
mass;
3) electrical power dissipated in the coil of vibration energy harvester;
4) useful power generated in the resistor coupled to coil terminals;
5) power input by the excitation force;
6) efficiency of the device given as a ratio of the useful electrical power and the power
input.

• Keywords: vibracije; dinamički prigušivač vibracija; žetva energije; bijeli šum; elektrodinamički pretvornik
• Keywords (english): vibrations; dynamic vibration damper; energy harvest; Gaussian white noise; electrodyanmic harvester
• Language: croatian
• URN:NBN: urn:nbn:hr:235:293842
• Study programme: Title: Mechanical Engineering; Study programme type: university; Study level: undergraduate; Academic / professional title: sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka strojarstva (sveučilišni/a prvostupnik/ prvostupnica (baccalaureus/baccalaurea) inženjer/inženjerka strojarstva)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2021-09-08 09:29:40