Actually years ago in the TV biz I was thinking of building a circuit that would do just that. Specialized instead of cobbled together. Partly for fly backs and partly for things like this.
I have not completely studied the print for your PS there but I know that 9
9 % of them run above resonance and lower frequency under load. If you exci te it with 15 KHz you might not need all that much amplitude.
You will no doubt need a fan on the amp even for short runs. Also note that you can feed just about any winding you feel like. If that thing doubles t he line voltage it is looking for maybe 320 P-P or more. You will not get t hat out of most audio amps. you might want to build one and run the generat or so hard it clips hard and then control the output with a variac. that wa y your transistors are in saturation and not burning up. And then you can k eep the gizmo for future use.
Either way, of course monitor the voltage. Another thing might be to just t ake a sine wave out the generator right to the transformer and determine it s resonant frequency. Alot of generators have a 600 ohm output, that is hig h enough to determine its resonant frequency as the amplitude will be highe r. Now the problem is that we don''t know what the frequency is supposed to be. I would say though that if it is up like 1 MHz it is probably bad.
Or there could be open caps across it somewhere or something shorted or... you got you one hell of a job there. You know, SMPSes could be so easy, a f riggin oscillator, PWM, but NOOOOO (in the voice of John Belushi) they have to do something exotic. Who do they think they are, Tektronix ?