Abstract
At present, engineering problems required quite a sophisticated calculation means. However, analytical models still can prove to be a useful tool for engineers and scientists when dealing with complex physical phenomena. The mathematical models developed to analyze three different engineering problems: photovoltaic devices analysis; cup anemometer performance; and high-speed train pressure wave effects in tunnels are described. In all cases, the results are quite accurate when compared to testing measurements.
Highlights
IntroductionThe evolution of engineering has provided engineers with better tools, that is, better calculation possibilities (more sophisticated numerical approximations and computers) and better testing equipment
The evolution of engineering has provided engineers with better tools, that is, better calculation possibilities and better testing equipment
With regard to the 1-diode/2resistor equivalent circuit model, results from the two methods described in Section 2.1 to obtain the series resistor, Rs, have been included in the figure
Summary
The evolution of engineering has provided engineers with better tools, that is, better calculation possibilities (more sophisticated numerical approximations and computers) and better testing equipment. IscRs Rsh which, taking into account the much lower magnitude of the terms involving the exponentials, can be simplified as the same relationship (3) obtained with the 1-diode/2-resistor model: Isc. Besides, the derivative of (23) at the short circuit point can be rewritten as 1 + (Rsh + Rs) (dI/dV)|sc Rsh (1 + Rs (dI/dV)|sc). The second one (labeled “A-2” in Table 1 and Figure 3) is based on the slopes of the IV curve at short circuit and open circuit points As it can be appreciated, the results fit quite well the testing data, with a maximum deviation of 0.022 A in the case of the 1-diode/2resistor model and 0.010 A in the case of the 2-diode/2resistor model.
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