DimitryL, thank you for the depth of your concern towards my well being but may I suggest, you take the time to ask a few questions, before presuming someone might be completely clueless. That way, you can save yourself some typing and the risk of looking foolish, when it turns out they are not.
I started my working life sweeping the floor in a cal lab, worked up through assembly, wireman, prototype and test before moving to digital tele-comms and eventually data networks. I can reassure you, I have used enough scopes to know what a ground loop looks like, have fixed my share of washing machines and amplifiers, even managed to rewire my last two houses without burning them down or electrocuting anyone.
If I posted in the wrong forum section, then I apologise. If you can provide a link to a suitable off the shelf module, that would be great.
But that first circuit uses a full-wave bridge rectifier. At no load, a full-wave bridge rectifier's output will have up to the full p-p voltage. In other words, it'll have up to 680V on the output. The capacitor should be rated for a bit more than this, to account for safety factor.
It's not like I was never taught the theory but it is 25 years since I last used it, as my career focussed on digital.
As I recall. The UK mains is 230V nominal, +10% -6% tolerance, which conveniently encompasses the old 240V +-5% I was taught prior to EU harmonisation. Without quibbling over decimal places, 710Vpp seems a nice round figure to use for calculation. The effect of the bridge is to flip the inverse phase 180 degrees, halving the voltage and doubling the frequency, so 710Vpp @ 50Hz becomes 355Vp at 100Hz. Capacitors are rated for continuous DC operation. In a pure AC circuit, the charge current will lag 90 degrees behind the Voltage, hence never reaches the same extreme as the equivalent DC Voltage. I recall (just about), that RMS represents the equivalent of DC energy carried in the form of a sine wave.
However, my exposure to AC stuff was brief, quite some time ago and I never got as far as having to make my own design choices outside of a classroom.
Furthermore, that first circuit uses a resistive voltage divider and labels the point between the 100K and 5K resistors as "15V".
Looking at the IGBT drive circuit. At the point labelled 15V, I (just) need a 'dirty' DC 15V @ < 1mA. A pulse will be generated by an MCU pulling the line low via a 4N35 but that part of the circuit is not relevant at this stage.
Looking at the Zero Cross detector circuit. As far as I can see, the arrangement of 22K and 1K resistors with the capacitor, form an RC divider which limits the Voltage over the capacitor. I was hoping to use the same principle in the IGBT drive circuit and was hoping for some help with the maths. I suspect, I = deltaC * V / deltaTime might have something to do with it but I was never great at differential equations.
Maybe I need to come at this from a different direction. Looking at the Zero Crossing detector circuit. Am I right in thinking the 220K resistors in series with the bridge input, will limit the current in the circuit to a less than lethal, 1mA ( @ 230Vrms) 3mA ( @ 710Vpp).