Best topology for an AC/AC switched-mode power supply
You say you want two 10 kHz 100 W outputs.  You didn't say what the input to this power supply is, so I'll assume normal 50 or 60 Hz line voltage.

In that case, the input 50 or 60 Hz is really of no use directly.  Use it to create DC, then use that to make the 10 KHz.  You only need a single 200 W (plus a little for losses) output that drives a transformer with two secondaries.

The DC to AC converter could be something like a class D amplifier with a little resonance to be really good at your single output frequency.  For simplicity, you could just get a 250 W audio amplifier and feed it a 10 kHz signal.  That's more complex inside, but that doesn't matter if you're buying it as a pre-made off the shelf box.