Global sensitivity analysis of predicted strain and voltage from magnetic shape memory alloy based energy harvester using PAWN method

In this paper, Global sensitivity analysis of predicted strain from clamped–clamped beam magnetic shape memory alloy based energy harvester with PAWN method is presented. In the selected model MSMA units attached to the roots of clamped-clamped beam while coil wrapped around MSMA. A shock load is applied to a proof mass in the middle of the beam. As a result of beam vibration a longitudinal strain is produced in the MSMA and beam. There are limits to harvest energy from this model and one of them is the strain applied to the MSMA. As the strain increases with respect to the applied pre-strain, the MSMA exits the compression region and causes the model to fail. When strain exceeds limits also affect the predicted result. Thus PAWN method as an efficient and easy way for global sensitivity analysis of the inputs has been taken into account. Then the model is analyzed with introduced method to determine the effect of each input on the output. In the following, due to the importance of the harvested voltage, the sensitivity analysis and ranking of inputs are performed. Moreover, using two-sample Kolmogorov-Smirnov test it is shown that for design and optimization of model with respect to strain one can fix thickness, width and length of MSMA while studying model in corresponding maximums and minimums and also with respect to RMS voltage and similar test the width of the beam can be fixed.