Chapter 5 PhD Literature review Example | Topics and Well Written Essays - 6250 words

Chapter 5 PhD - Literature review Example The robustness of the mathematical model presented before needs to be verified theoretically to ascertain the validity and reliability under various performance regimes. This chapter will look critically at the mathematical model presented before using sensitivity analysis methods that will target the various inputs to the mathematical model. The contention behind the sensitivity analysis is to vary inputs to the mathematical model as a means of measuring the change in the overall output. This would provide for the amount of variation that could occur in the output of the mathematical model in case that erroneous inputs are received. Firstly, a sensitivity analysis is carried out where perturbations are added to the input data (i.e. velocity, acceleration, and throttle position), and consumption is calculated during a drive cycle using the perturbed data. Then, artificial drive cycles are created, and fuel consumption is measured and calculated during the same drive cycle. In the artificial drive cycles, high and low velocities and accelerations are involved in order to study the limits until the mathematical relationship between fuel consumption and drive cycle parameters can be used. Sensitivity AnalysisSensitivity analysis is carried out in order to determine how any form of uncertainty in the output of a provided mathematical model could be traced back to the various inputs that are being provided. The apportionment of output uncertainty to input uncertainties in their respective contribution levels allows improvements on the mathematical model for bringing about greater reliability and validity (Saltelli et al., 2008). A sensitivity analysis may be performed for a number of reasons. Primarily, sensitivity analysis allows the determination of model robustness when faced with uncertainty in the inputs (Becker et al., 2011). In addition, sensitivity analysis allows gaining a deeper understanding of how various inputs are tied to the final output. As