The more technical response:
First, as many are saying, the loss of power causes you to lose house loads. This means all plant systems were unpowered for a short amount of time. All of the non-safety systems, like the condenser, the condenser cooling water, the turbine, feedwater, instrument air, reactor recirculation and cooling pumps all went offline and did not come back. Non-safety systems are on a separate bus. Some plants have connections to manually restore these systems using the generators, but not all.
The safety/class 1E systems were all restored by the diesel generators. This includes ECCS, spent fuel pool cooling, residual heat removal, battery chargers for the DC power distribution system, incore monitoring. The diesel generators will autostart in emergency mode on a loss of power signal, and within 10-15 seconds of the loss of power they will start restoring safety-grade power to the plant.
Now what actually caused the scram on loss of power, and what will answer OPs question:
First, based on what I've seen, the loss of power clearly took out the main power transformer output. You need to think of the plant as a big continuous system. The reactor makes steam, steam goes through the turbine in the form of mechanical energy, the turbine transfers mechanical energy to the generator which converts it into electrical energy which then goes out to the grid. A loss of power means the generator has nowhere to send power to, and could also mean an electrical fault which can damage the generator. The generator immediately locks out (shuts itself off). Without anyplace for the turbine to transfer its mechanical energy to, it would overspeed and catastrophically destroy itself, so the turbine will automatically initiate a turbine trip, which closes all turbine steam stop valves and turbine steam control valves. Now we go back one more step, to the reactor and main steam lines. Without any place for the reactor to transfer its steam to, you are going to get a very large pressure buildup. In fact, when the turbine valves close, the steam becomes a shock wave which bounces off the valves and travels back into the reactor, causing a large pressure change, followed by a large neutron flux spike (in a BWR, an increase in pressure causes an increase in the boiling point of water, which causes steam to 'collapse' back into the liquid phase, which increases moderation, and causes a prompt neutron flux spike. Peak spike is over 180% of rated reactor flux/power). This is clearly undesirable, so reactor protection system (the scram system), is designed to sense when the turbine valves close, and will automatically scram the reactor the moment that occurs. This is most likely the first scram signal which actually shut the core down.
With the loss of power, the loss of condenser, the reactor still needs to remove steam. Under loss of power and isolation conditions, which is what the pilgrim plant was in, pilgrim will start up their RCIC/HPCI steam driven water injection pumps. Steam will be vented to the suppression pool either through some combination of the safety-relief valves and the steam discharge from the RCIC/HPCI turbines to slowly reduce reactor pressure until the reactor is below the shutdown cooling interlock (~100 PSI) at which point the shutdown cooling system will be placed into service to cool the core down to 90~120 degrees F.
There are a few more details than this, but its the overall picture that counts.
Here's a very terrible mspaint diagram I made of the main steam system:
http://imgur.com/wVbKBZM
Note that the bypass valves in that picture are non-functional due to the loss of power.
I'm an engineer in BWRs, so if there are any detailed-technical type questions let me know.