When I do my short 5s or 1m intervals its usually on a loop where I descend into a 135 degree turn and just hammer up a 4% grade. It does a pretty good job of simulating a race environment (having to hammer the turn because the guy in front corners like an old lady) but I'm still trying to figure out the optimal way (spin up, cadence, etc) to generate that power for 60 seconds. I tend to either gas out at :30 or have too much in the tank at 1 minute.
I'll concede at this point the anti power guys are right, the 1 minute stuff doesn't matter if you don't have that short burst to stay on wheels after surges.