Local distributions of electricity demand

A simple model for how electricity use might be distributed over space is developed and solved. The model depends on a simple characterization of “heat islands”, and considers summer cooling use in particular. Various technological changes to allow for electric grid use of renewable energy and other technologies, such as energy efficiency and hydrogen or electric vehicles, change the outcome of this model, and produce a “saddle”, not necessarily a “duck curve”. Inequality in income and wealth drives these results, and policies to ameliorate or remove these effects will have to be and be seen as fair to those of various income levels and locations.