In the summer I use the electrified poultry netting around my tractor. I don't have too many predators, things are fairly quiet around here. What I have found that works is to place your electric fencing so that the coop is in the center of the fence (my set up is a 8x14 tractorcoop in the center of the netting which is 160 feet long.) If a predator comes near the fence, the chickens will run for the coop, not the fence. Did that make sense? Anyway. I have not had any issues with birds getting tangled in the fence, but a few poor frogs have not made it over. Make sure your fencer pulses....that way, they have a chance to get away. Usually, if a predator touches the electric netting, they get enough of a zap that they have no interest in the birds anymore.
edited to add: What type of predators are you dealing with?