Matematični modeli za spremljanje in analizo obratovalnih parametrov Stirlingovega motorja

Omahen, Matija (author), Drobnič, Boštjan (mentor)

V času večjih potreb po varčevanju z energijo ter višjih izkoristkov pri pretvorbi energije, se zanimanje za Stirlingove motorje znova povečuje. S tem pa je večja tudi potreba po ustreznemu matematičnemu modeliranju procesa in rezultatov meritev. V tej zaključni nalogi analiziramo parametre obratovanja laboratorijskega beta tipa Stirlingovega motorja s pomočjo programa Microsoft Excel. Merjena parametra sta tlak in celotna prostornina delovnega medija v motorju. Nabor podatkov smo razdelili na posamezne cikle in izrisali diagram p-V. Izračunali smo tudi temperaturo in entropijo v vsaki merjeni točki in izrisali diagram T-s. Izračunali smo delo iz vsakega od diagramov po trapezoidni metodi. Iz podatkov je bilo zaradi odstopanja od aproksimacije izračunanih parametrov razvidno, da je p-V diagram bolj zanesljiv pri izračunu dela kot posredno izračunan diagram T-s. Določena sta bila Carnotov in termični izkoristek procesa izključno iz merjenih podatkov. Motor je pri naših obratovalnih pogojih v povprečju dosegal 5 % termični izkoristek ali 40 % Carnotovega izkoristka.

• Language: Slovenian
• Keywords: Stirlingov motor, analiza parametrov, matematični model, realni cikel, termični izkoristek
• Work type: Final paper
• Typology: 2.11 - Undergraduate Thesis
• Organization: FS - Faculty of Mechanical Engineering
• Place of publishing: Ljubljana
• Publisher: [M. Omahen]
• Year: 2020
• Number of pages: XII, 23 f.
• PID: 20.500.12556/RUL-119176
• UDC: 621.412:531.787:519.6(043.2)
• COBISS.SI-ID: 28159235
• Publication date in RUL: 04.09.2020

OMAHEN, Matija, 2020, Matematični modeli za spremljanje in analizo obratovalnih parametrov Stirlingovega motorja [online]. Bachelor’s thesis. Ljubljana : M. Omahen. [Accessed 31 March 2025]. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=119176

Secondary language

• Language: English
• Title: Mathematical models for monitoring and analisys of stirling engines performance parameters

Abstract

In the times of greater need for energy savings and higher efficiency of energy conversion, Stirling engines are again receiving attention. With greater interest in engines, came a bigger need for adequate mathematical modelling of the process and of the measurement results. In this final thesis, we analyse the operating parameters of laboratory beta type Stirling engine in Microsoft Excel. Measured parameters were pressure and total volume of the working medium. We have divided the data into individual cycles and plotted the points on a p-V diagram. Then the calculation of temperature and entropy values for each measured point was done and the data were plotted on a T-s diagram. We calculated the total work done by the system for each of the diagrams with trapezoidal method. It was evident from the data, that a p-V diagram is more reliable for work, determination, than the T-s diagram, which was derived from the same data. Carnot and thermal efficiency were determined only from the given data points. The engine had with our operating conditions on average 5 % thermal efficiency, which equals to 40 % of Carnot efficiency.

• Keywords: Stirling engine, parameter analysis, mathematical model, real cycle, thermal efficiency