I'm working on a project to build a 24VDC to 250VDC switch mode power supply for the purpose of charging a capacitor bank. The capacitor bank will be rated at 250V and 180mF. So, the prime power source is a 24V battery and we need to bump up the voltage to 250V to charge the capacitor bank. The capacitor bank will initially have 0V. I'm trying to narrow down which SMPS topology I should use since they have different applications in terms of power output.
The capacitor bank needs to be fully charged in 1 minute. I calculated the resistance value (67 ohms) for the RC time constant. This would mean that the current draw from the capacitor bank would be 3.73A at time = 0. So, the instantaneous power at that time would be 250V * 3.73A = 933W. Is this the value I should use to decide which SMPS topology to use?
But as the capacitor bank is charging, the current draw from it decreases exponentially which would change the power output of the power supply. So in this case, would the average power output be the number I should use?
Thanks in advance for any help!