Monotonicity Analysis for Optimal Scheduling of Storage Batteries and Power Generators – Considering Ramp Limit of Thermal Power Plant –

This paper focuses on a day-ahead scheduling problem on power generation of thermal power plants and charge/discharge (C/D) of battery energy storage systems based on the information of the interval prediction of photovoltaic (PV) /demand power. Our purpose is to obtain an exact range of each optimal operation schedule for any possible PV/demand profiles of the interval prediction. If the solution is monotonically increasing or decreasing with respect to the parameter, we can easily find the exact range of the solution in a finite number of trials. In order to obtain the exact range, it is important to find out what problem possesses monotonicity. In previous work, we have shown that monotonicity is preserved in various power system settings. However, it is not clear whether monotonicity is preserved for the problem considering ramp limit of the thermal power plant. Thus, we investigate whether monotonicity is preserved for this problem by using numerical simulation.