Monotonicity Analysis of Day-Ahead Power Scheduling of Two Storage Batteries Based on PV Interval Prediction

This paper focuses on a day-ahead scheduling problem on generating power of thermal power plants and charge/discharge power of multiple storage batteries 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. To find this range efficiently, it is necessary to focus on the monotonicity of the solution with respect to the parameter, which corresponds to the PV/demand. If the solution is monotonically increasing or decreasing with respect to the parameter, we can find the exact range of the solution in a finite number of trials. The monotonicity has been analyzed in various power settings, and the exact range of the optimal operation schedule has been calculated so far. However, we could not treat multiple storage batteries in the previous work. To adapt to future power system problems, it is necessary to analyze the monotonicity in the case where the supplier has multiple storage batteries. In this paper, we show sufficient conditions for the monotonicity of the optimal generating power for a thermal power plant taking into account existence of two storage batteries.