Since you didn't specify any of the electrical data for your generator, I will give you a generic answer. Small generators normally use a dervied neutral. Utility power neutrals are firmly grounded, generator neutrals float. Here is what can happen with a floating neutral on a 240 volt generator. There are two generator windings, connected at one end. Imagine a "V" If you take a voltage reading from across the \ you will get 120 volts. Likewise if you take a reading across the / you will get 120 volts. The bottom is the neutral. If you take a reading across the top you will get 240 volts. Now lets put a load across each of the legs. On one leg we will put a few loads that draws 5-10 amps total (including your electronic equipment), on the other we will put your refrigerator drawing 15 amps. The compressor on your refer starts and as motors always do, it draws up to 6 times the amps that it takes to run it once it gets moving. Think about pushing a car, once you get it rolling, its not too hard, but that initial push is tough. The generator winding is trying to supply current to start the motor load on one leg, and one of two things happens. Either the generator slows down and the frequency drops, or the voltage increases on one leg while dropping on the other. If voltage drops, current increases and current is what does the work, and it is also what makes heat, a by product of electrical power. If the frequency drops, your precious big screen power supply will react by introducing more current into the electronics. If the voltage shifts from one phase to the other, the power supply will react by introducing more current into the electronics. (Seeing a pattern here?) More current, more heat. A power surge strip won't protect you. It protects against voltage spikes by arresting peaks and shunting them to ground. Your system isn't grounded. You need a voltage conditioner, which is an autotransformer that keeps voltage constant.
The home depot/black and decker/generac portable gensets are great for running the lights or the reefer if large enough to carry the load, but they aren't very well regulated. The power is there, but its not very clean. Hope that was clearly defined...