Random variable generation for stochastic economic optimization of electrical systems, and related systems, apparatuses, and methods

An electrical power system controller, comprising:

• one or more data storage devices;
• one or more observed input data interfaces configured to receive observed input data, the observed input data corresponding to observed values of one or more input variables during one or more previous periods of time;
• and
• one or more processors configured to:
• store the observed input data on the one or more data storage devices;
• generate one or more uncertainty metrics based on the observed input data, the one or more uncertainty metrics configured to indicate an uncertainty of the one or more input variables;
• generate one or more random variables based on the one or more uncertainty metrics to forecast input data during a future period of time;
• generate a cost function corresponding to a cost of operating the electrical power system during the future period of time, wherein the cost function is a function of the one or more random variables;
• and
• control operation of the electrical power system during the future period of time based on an optimization of the cost function.