So I have a DC generator connected to a 15v 52F ultracapacitor. There is a diode in place. If the generators has in inherent 1.7ohm resistance and the capacitor is at 10v. Does this mean that voltage produced by the generator would need to be the sum of the (voltage needed for internal generator resistance) + (10v to charge the capacitor) + (losses)? in order to charge up the capacitor? Or have I got it completely wrong!
The capacitor will charge if the generator is producing more than the capacitor voltage plus the diode voltage. The diode voltage will be about 0.6 volts to 1 volt depending on the current.
The internal resistance of the generator limits the current that can flow into the diode/ capacitor combination.
So, if the capacitor is already at 10 volts and the generator is producing 14 volts, there will be 10 volts across the capacitor, 0.6 volts across the diode and 3.4 volts across the internal 1.7 ohm resistor. (This adds up to 14 volts.)
This last bit tells you the current will be about 2 amps, ( 3.4 V /1.7 ohms = 2 amps) so the diode needs to be a big one.
When the capacitor was completely discharged, the current would have been about 7.9 amps. (14 -0.6) / 1.7 = 7.9 amps