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From https://www.mail-archive.com/matpower-l@cornell.edu/msg06940.html ...
It looks like this would be a good place for some optimization of the code. I believe it’s true that the min up and down time constraints are essentially unnecessary when the min up and down time values are 1. It seems to me that the only difference is that it becomes feasible to have a startup and shutdown event (v = w = 1) for a given unit at a given period, resulting in no change in state. However, this should have no impact unless the startup and shutdown costs are non-zero, in which case that solution would not be optimal. So, I believe, simply eliminating these constraints when the min up/down times are 1 should result in an equivalent optimization problem.
To optimize this code to handle the general case more efficiently for large systems, it seems like maybe we should be indexing these constraints by (t, tau) instead of (t, i).