Controlling power generators and chillers

A power generation system for meeting a power demand of a power consumption unit, comprising:

• a chiller for regulating a temperature of the power consumption unit;
• a heat storage unit for supplying heat to the chiller;
• an electric power system of the power consumption unit for providing electrical power to the power consumption unit and to the chiller;
• a power supply device configured to supply power to the electric power system;
• and
• a processor configured to determine a schedule for supplying power to the electric power system using the at least one power supply device, wherein the processor:
• creates an objective function for operating the at least one power supply device that includes a forecasted power demand scenario of the power consumption unit and a probability of occurrence of the power demand scenario,
• locates a substantial minimum of the objective function to determine the schedule for operating the at least one power supply device to meet the power demand scenario, wherein a relation between a fuel consumption of the power supply device and a power output of the power supply device is represented using a piece-wise linear function, and
• operates the at least one power supply device according to the determined schedule.