In the Unit Commitment Problem, for a hydropower system, trying to meet the forecasted demand.
If the scheduled generation ( solution of optimization)
have variations with the demand, say 0.01 MW, is it something practical?
Will it be accepted and operated by the operators? or is it too much?
I do place tolerance because It kind of helps the solver to reach feasible and optimal solution in MINLP problem. As you know, originally it should be an equality equation.
Variations demand depend on the size of hydropower system or power system. If you have hydropower unit of medium or large size this step of 0.01 MW is too small. If you do your research for some microgrid with small hydro unit, it can be appropriate step. In general, 0.01 MW is small step. Usually hydro generator are large and control loop is not parametrized for such small step. In addition, you should take into consideration s power change in time in real system. For example regulation for hydro unit a set for 10, 15 or 20 MW/minute. Anyway, try to put your research into relations with some real system.
Dear Igor Ivankovic , thank you.
To explain more, I do work on a real system with 4 units of 250 MW. Assumed to supply demand of a small area.
so based on what you said, and the real time control ( governor system), obtaining solutions (schedules) with 0.01 difference with demand in an hourly basis, is technically acceptable?
Technically this is real small value, 0.01 MW for regulations purposes on power system with 4x250MW. Anyhow try some simulations in your model and then adopt values for demand side variations.
A power system has several power plants. Each power plant has several generating units. At any point of time, the total load in the system is met by the generating units in different power plants. Economic dispatch control determines the power output of each power plant, and power output of each generating unit within a power plant , which will minimize the overall cost of fuel needed to serve the system load.
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