I've been working on a DC power supply to provide about 10 mA at 200 V. The simplest way (not dealing with a switching power supply) seemed to be using a transformer to step 120Vac up a little bit to get peaks near the target voltage, then rectify and filter.
I've wound a custom transformer with a 18:19 ratio to do the step-up which behaves reasonably in simulation, but draws much more current than I expect when actually constructed:
simulate this circuit – Schematic created using CircuitLab
R2 is an NTC with \$R_{25\mathrm{C}}\$ of 50 Ohms to limit inrush current, and there's a fuse inline (not pictured). When connected the circuit draws upwards of 10A, but it takes a moment to warm up (quite literally; the NTC gets warm as you'd expect) before blowing the protection fuse, to the point where a 4A fuse took more than a second to blow (so current doesn't seem to be dropping after the first few AC cycles).
Since this is a custom transformer I don't have any solid numbers on its characteristics, so it's possible inrush current is much higher than the simulations say. Additionally, I may have underestimated the NTC so it warms up long before the transformer reaches saturation. (The third option being that I'm completely wrong and this is a bad idea.)
How can I limit the primary current to something in the the 1-2A range that I expect from simulation, or is there a smarter way to build this power supply?