I'm not using SPICE. Typically, I run my circuits in a live circuit simulator for convenience before rebuilding the circuit in LTSpice for accuracy. When I have problems in the live simulator, the same problems arise in LTSpice. When I have no problems in the live simulator, easy-to-fix problems may arise in LTSpice, but it's not a common event. Anyways, the problem seems to not be with my load. That's what I was trying to point out with my simulation of the MOSFET with no load. At the gate, I had 30V. The source was grounded. The drain was given any voltage through a 1.1 ohm resistor (the on resistance). The max current I could pull with 30V at the gate and with a 3.75V threshold voltage was 6.89 (I meant to say 300mA higher earlier, not 200) amps, and that occurred at any drain voltage that saturated the MOSFET. This simulator often agrees with LTSpice (within some small tolerance due to the longer time step of the live simulator). I can't find any SPICE models of the W9NK90Z. Otherwise, I would simulate it in LTSpice to check if it's simply a problem with the equations that this simulator uses for MOSFETs. I just found two IRFIB7N50A MOSFETs lying around, but I can't find SPICE models for those either. However, I still believe that I'd be getting a similar result in LTSpice. When a MOSFET is saturated, the current isn't limited solely by the on resistance and load resistance. Like I've said a couple times, it's mainly the gate-source voltage and the threshold voltage. There's a complicated equation for it at
http://ecee.colorado.edu/~bart/book/book/chapter7/ch7_3.htm. Simply search (ctrl+F kind of search) for "saturation," and it'll be the first thing. Wikipedia--using two other sources--gives the same equation but with an additional channel-length modulation parameter. If I knew what each of those parameters were, I'd do calculations myself. Speaking of parameters, you said that you don't know the transformer parameters. It has all been given.
Primary inductance: 4.418uH
Primary ESR: .01 ohms
Secondary inductance: 2mH
Secondary ESR: 10 ohms
Coupling coefficient: .2
Replacing the MOSFET with a square wave voltage won't allow the voltage to oscillate because a voltage source mandates a certain voltage, as I should. I tried it anyways, and the results were horrid. Extremely high current but extremely low topload voltage. I then had the square wave control an analog switch with the same on resistance as the MOSFET. The result was 90 amps through the switch and an adequate (but adjustable) 16430V out of the simulated topload. Limiting current is much simpler than increasing current. Anyways, that leads me to believe that the problem is either the MOSFET or the simulator's idea of a MOSFET.