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# Testing the Reliability of Mathematical Models

Arazbayev, Balkan (2004) Testing the Reliability of Mathematical Models. Universiti Teknologi Petronas. (Unpublished)

## Abstract

The mathematical models are extensively used in the engineering fields. It is a very powerful tool to design, analyze and test the systems without actually building them, which of course reduces time spent on the designing. The question was raised, is it actually appropriate to use the mathematical models for testing purposes, how precise is the outcome and what kind of information about the system the mathematical model gives. In order to investigate this situation, testing the reliability of the mathematical models was proposed. The purpose of this project is to scrutinize the mathematical models, investigate the pros and cons, the criteria and limitations that a mathematical model have and of course the errors introduces if those criteria and limitations are violated. The scope of the project covers general mathematical models for sake of investigating how they are used and their limitations. Also, models related to electrical and electronics field are studied to quantify the errors. As this project is mostly research based, the theories behind mathematical models are investigated and considered and then MATLABprogramming is used to illustrate how models are used and their outcomes for given inputs for different situations. The results of the MATLAB simulations show the quantity and percentage of the errors and are given in form of table later in the chapters. Considering what has been studied and the results of the simulations, mathematical models do not ideally represent real hfe models, although if carefully designed the errors could be reduced to acceptable limits and a close approximation of the real life model could be obtained. As for educational purposes the little percentage of the error does not carry any significance mathematical models can be used to enhanceunderstanding of the student. If nature of the application requires high precision, extra care must be taken while modelling and designing.

Item Type: Final Year Project Academic Department - Electrical And Electronics - Pervasisve Systems - Digital Electronics - Test and Reliablity T Technology > TK Electrical engineering. Electronics Nuclear engineering Engineering > Electrical and Electronic Users 2053 not found. 30 Sep 2013 16:55 25 Jan 2017 09:47 http://utpedia.utp.edu.my/id/eprint/7791