There is a three$-$phase $22$kV$/60$Hz power supply system. Define the characteristics of the controlled rectification system to be used to charge a battery bank of the SEDAN E$70$ DONGFENG car, data of the battery bank $56$kW$/370$ Vdc$,$ it is known that the system has a choke coil with R $=0\mathrm{.}7$ and L $=0\mathrm{.}8$H$.$ Locate two scenarios:

$(1)$ charging at home $7$kW$/220$Vac, and

$(2)$ Electric charging station charges to $90\%$ in $30$ minutes;

For each scenario define characteristics of:

a$)$ of the power semiconductors,

b$)$ of the transformer

c$)$ of the protections