Linear based regulators are probably out of the question given the voltage and current levels required. Switching regulators are difficult to design and build - and a trivial mistake can incinerate lots of components - I wouldn't recommend anyone other than an engineer with experience in switching PSU design try to build a high-voltage regulator.
The simplest way I can see is to try and use an old PC PSU.
You just need to connect the PSU input direct to the AC output of the alternator. Unfortunately, most PC PSUs need an input voltage of about 310-350V DC and this comes from a voltage-doubling rectifier - so they won't run directly off a 150V DC supply. Many alternators are 3 phase, so you may need to change the rectifier from a single phase to a 3 phase one.
If you are feeling really brave, and have a suitable knowledge of electronics - it shouldn't be too hard to modify the feedback control loop to allow a potentiometer variable output voltage. Some reverse engineering of the feedback resistor networks will be necessary.
Just another thought - you may find that a PSU with 'active PFC' could run on unregulated 150V DC - the 'active PFC' circuit is actually a complete PSU in itself - it takes unregulated DC (actually unsmoothed rectified AC 0-340V) and steps it up to about 380 V regulated DC. (That's why active PFC PSUs often have lower efficiency than more basic PSUs). You shouldn't even need any internal modifications - I'd expect that you could just hook the 150V DC up to the input.
Note, that it any case I don't know how well the PSU would cope with big sags in the input - as might happen if the alternator is heavily loaded. Designing a PSU to cope with that is actually very difficult. Although, if you have a battery for the field coil - then this should be able to keep the alternator running if the PSU drops out. Note though, that ome PSUs may trip-off and need power-cycling if they shut down due to a 'brownout'.
Note, that I've not tried any of the above techniques - so try them at your own risk.
Could you not use 2 alternators? One to provide the field current for the other?