Hey all, thanks for all the helpful knowledge. When you RE a circuit, often times you start to feel like you understand what the designer was going for. Not so much here! And while I do intend to fix this thing, I'm mainly doing it for the understanding. Much appreciation. I'm honored by all the replies.
This thing is 90% incredibly dodgy, and 10% kind of fancy. Resonant converters sound more like something in an electric car charger than a built-to-cost consumer good that burns out a few days out of warranty. Meanwhile there's not a point on here that's safe to attach a scope ground lead to. (Yes, it's on an isolation transformer...but still.) What can I say? I like a mystery.
@T3sl4co1l I measure about 12V between VCC and COM. The resistors from the high voltage really are 20K, 20K, and 33 ohms, all in the ~2W range. Go figure that one out. Did they have a warehouse of extra 33s? And there ARE 470u and 1n caps between VCC and COM that I left off the drawing.
@Tantratron and @2N3055 I measured the primary of this transformer at about 1.2mH. The piezo is about 8nF in parallel with 4.7nF. Calculator tells me that's a (electrical) resonant frequency a tad over 40kHz which checks out. Charging 12.7nF from 0 to 300 volts takes a hair over 500uJ of energy, and do that 40K times a second and we're at 20J/s = 20W. I guess that checks out. The DC loop resistance is about 0.7ohms from the transformer primary and 1.3ohms from the low-side MOSFET rds.
@nfmax and @langwadt the RC portion works kind of like a 555. The CT pin has thresholds at 1/3 and 2/3 of VCC, and flips the output at RT to keep oscillation going. The RC portion has R of about 15k to 20k depending on the variable resistor, and C of 1nF. The resistor heading off to the transformer is 330k. So it looks like it nudges the voltage over/under the threshold to help adjust the frequency.
And on to repair. When it switches on there is a metallic thunk as if the piezo is getting hit with steady DC. Sadly, I don't have a differential HV probe, and some careful measurements with a battery-powered multimeter give inconsistent readings; apparently AC and DC both present. Replacing both MOSFETs is seems like a safe bet. And probably the IR2153. Any other suggestions? -m