I have a sticky situation where my power supply is coming from a charged capacitor with 200 volts across it. Because of the way it was charged, I can't guarantee that the negative side of the cap is at "ground" potential. All I can depend on is that there is a 200 volt difference. It could be that one side of the cap is 10 volts and the other side is -190volts. As a result of this, I'm nervous about trying to mix other control circuitry that uses a different ground potential, so what I want to do is simply use the 200 volt circuit to run the control circuitry.
From what I know all I have to do is use a voltage divider to generate a third voltage leg that has the 10 volt difference I want for my control circuitry. Then I should be able to run IC chips (like NE555) and mosfet gates off the 10 volt difference without any problems. It also shouldn't matter whether I make the 10 volt difference relative to the low side or the high side.
Is all my understanding correct? Are there any problem areas I could run into when trying to divide high voltages to much lower voltages? What if I had an even higher voltage supply such as 1000 volt? Can I still divide it like this to run ICs and mosfets?
Here's a pic to help illustrate:
Answer
To supply \$200mA\$ at \$10V\$ from \$200V\$, there must necessarily be \$200mA\$ at \$190V\$ somewhere else, if you are converting the voltage by any linear method (like a voltage divider).
$$ 200mA \cdot 190V = 38W $$
That's a big resistor, transistor, or something, with a big heatsink. Not at all hard, but quite big, and warm.
Probably, you will want a non-linear voltage converter, like a buck converter. This will be much more efficient, and won't need to be big with a large heatsink.
If your control circuitry, and everything connected to it, is connected to only your \$10V\$ output, then it doesn't matter if that \$10V\$ is \$200V - 190V\$ relative to ground, or \$5V - -5V \$ relative to ground. After all, "ground" is just where you stick the "ground" symbol in the schematic, and the electrons can't see that.
But, if you are already using a buck converter, you could get one with an isolated output. Typically, these will use a transformer to couple the power from the input to the output, and the feedback will be done through an optoisolator. Thus, the output of the buck converter is floating, meaning, it has no reference to anything on the input side. You could then, if you wanted, connect your control circuit's ground to some other ground, and not be worried in a voltage difference between these grounds making some large current flow and making smoke.
Even if you don't connect it to something else, that floating output has the nice feature that when someone touches it, maybe accidentally, and that someone also happens to be touching some other potential (say, the Earth, which is connected to a lot of stuff), the output voltage will "float" to their potential, and then there won't be any difference, and they won't be shocked.
It's quite likely that any 200V to 10V buck converter you find will be isolated, for safety. So, perhaps by happy accident, you don't have to do anything special to solve both your problems.
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