A quick search turns up this reference, for some cases. https://minds.wisconsin.edu/handle/1793/57916 .
My gut tells me it will be very hard to stay in LP but I haven't really made a deep search.
Good luck !
how to model two positive variables without being positive at the same time
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Re: how to model two positive variables without being positive at the same time
you can add a cost for charging and discharging. In this way, the LP solver won't use them at the same time.
Especially when the charging/discharging of efficiency are not 1.
There is only one case that it might not be resolved: when you have some wind /solar resources and you have some kind of penalty for wind curtailment. The algorithm will use charging ad discharging at the same time to dissipate the excessive wind.
Especially when the charging/discharging of efficiency are not 1.
There is only one case that it might not be resolved: when you have some wind /solar resources and you have some kind of penalty for wind curtailment. The algorithm will use charging ad discharging at the same time to dissipate the excessive wind.