Boost converter. 1 In the 2010 Toyota Prius, a Boost converter is used to step up the output voltage of the bat- tery (assumed to be constant and equal to 200 V). Three dc-bus voltage levels are used: VDC 250 V, VDc= 500 V, and Vpc = 650 V. Assuming the Boost converter to be ideal, what are the three duty cycles required to meet the steady-state requirements? 2 Assuming that the power of the Boost converter in 4.1 is 20 kW, define the input and output currents corresponding to cach case. And the same question with 40 kW. 3 We want to size the inductor to ensure maximum input current ripple of 10%. What are the allowed ripple levels (peak-to-peak) and the requirements for the inductance for the Boost in 4.1 if the switching frequency is 10 kHz (case 20 kW)? 4 If the load of the Boost in 4.1 is a pure resistor, what should be its value to absorb 20 kW if Vpc = 650 V? 5 Assuming that the inductance found in 4.3 and the load resistor found in 4.4 are selected, what is the required capacitance to ensure less than 10% voltage ripple? DC