This paper introduced and used analytical solutions to approximate reservoir impedance, wellbore heat loss, and reservoir heat depletion. The reservoir impedance and wellbore heat loss solutions were coupled to a power cycle model to calculate the electric power generation. The reservoir heat depletion solution gave insights about power generation decline over the reservoir lifetime. There are pros and cons to using analytical and numerical reservoir models. A careful weighing of objectives should be made when constructing a geothermal power plant model that couples reservoir performance with electricity generation. Some of the conclusions below can provide guidance when weighing these objectives. Others offer insights into the behavior of geothermal reservoirs and power production.