(Solved): A step-up (boost) dc-dc converter used in electrical vehicle power conversion system; the output vol ...

A step-up (boost) dc-dc converter used in electrical vehicle power conversion system; the output voltage is regulated at 100 V while the supply voltage is 50 V , and output current is 100 A . The voltage and current waveforms for the IGBT used in the boost converter are shown in Figure 1. Assume an ambient temperature is ()/(( 30^(()/(circ)) ()/(mathrm{C}) ()/())), junction temperature is ()/(( 175^(()/(circ)) ()/(mathrm{C}) ()/())), junction-to-ambient resistance is ()/(( 2^(()/(circ)) ()/(mathrm{C}) ()/() ()/(mathrm{W}) ()/())), junction-to-case resistance is ()/(( 0.3^(()/(circ)) ()/(mathrm{C}) ()/() ()/(mathrm{W}) ()/()).) Taking into account the technical specifications above, your awareness in the development of power converters in terms of efficiency, thermal considerations, and acknowledging the uncertainty associated with the variable switching frequency (ranging from 10 kH to 50 kH ), design the boost converter to ensure continuous conduction mode under all circumstances. Include derivations of any formulae applied in the design process. Additionally, provide insights into the influence of your assumptions on the final recommendations and discuss the limitation of the analytical methods employed. solve it according to power conversion method