Charging caps quick

boostcapacitorcharging

I'm trying to get some advice on boosting two 7.4v LiPo bats run series (14.8v) to charge two 400v 1500uf caps to 95% in less than 0.0 625sec. The bats I have are for RC application but have the highest output I have been able to find at 65c. The ones I have are 5300mAh but that could be changed if needed. The objective is to pulse an electromagnet 16 times a sec. The final issue its that the components need to be more or less compact. 3"x2"x1" would be the max total size of the charging circuit. I'm pretty new to electronics and this will be the first circuit I am building, so the more info the better.

Best Answer

To charge one of your capacitors as specified requires an energy of:

$$ \require{cancel} \begin{align} W &= \frac{1}{2}CV^2 \\ &= \frac{1}{2}1500 \mu F (0.95 \cdot 400V)^2 \\ &= \frac {1}{2}0.001500 \frac{J}{\cancel{V^2}} 144400 \cancel{V^2} \\ &= 108.3J \end{align}$$

You want to do this to two such capacitors, 16 times per second. The required power is then:

$$ 108.3J \cdot 2 \cdot 16/s = 3465.6W $$

That's a lot of power for a couple batteries. Whatever this thing is, it's not going to be small.

If you demanded this power from a 14.8V power source, the current required would be:

$$ 3465.6W / 14.8V \approx 234 A $$

Expressed as a C-rate, this is:

$$ \frac{234A}{5300mA} = 44.15 $$

This is within the specified capabilities of your batteries, but not by a large margin. Consider that we have thus far assumed that we can convert the battery's energy to the capacitor's energy with 100% efficiency. That's not going to happen in practice.

Say you can convert the power with 80% efficiency:

$$ \begin{align} P_{out} &= 0.8 \cdot P_{in} \\ 3465.6W &= 0.8 P_{in} \\ 3465.6W/0.8 &= P_{in} \\ 4331.25W &= P_{in} \end{align} $$

The difference is the power lost to inefficiencies, which will be heat:

$$ P_{loss} = 4331.25W - 3465.6W \approx 856W $$

You are not going to dissipate that much heat in a 3"x2"x1" box. No way. To give you some idea, think of how hot a 100W light bulb gets. Now put 8.5 of them in the same space.