I am constructing a High Voltage (150 kV DC) capacitor bank. I have elected to connect 10 capacitors in series, with 10 such branches connected in parallel. My next mission is to create balancing resistor branches to make sure my capacitors don't blow up.
I have been crawling through research papers, technical documents, and here at the Stack Exchange looking for a method to select a value for my balancing resistor resistance values, but the literature I've found is either modeled for 2 capacitors in series, or produces a ludicrous number (like 3.33 TΩ).
Below is a basic model of my circuit. The purpose of the capacitor bank is to mitigate droop in the HV supply caused by our load, which acts like a pulsed current source. The current pulses drain charge from the circuit, and the power supply can't react fast enough, leading to considerable droop over time. This all occurs on the nanosecond scale.
A few notes on the circuit: I suspect that each individual series branch will require its own balancing branch, instead of the two that I modeled.
Additionally, the manufacturer of my capacitors couldn't have a leakage current for me, but provided a 200 GΩ resistance value, per capacitor, at its rated voltage of 20 kV. I am thinking that I should model leakage current per branch by summing the resistance values of the capacitors, and dividing the 150 kV bus voltage over that. This gives a leakage current of 0.75 µA, which seems about right. Is this a poor approach?
TL;DR: How do I choose balancing resistor values for a series string of 10 capacitors in a high voltage circuit?
Thanks in advance for any advice or insight you can offer, and I'd be happy to clarify any aspects of my problem.