The move to sequestrate environmental pollutants occasioned by hydrocarbon related fuels has led to the search for alternative energy sources worldwide. The efficiency and reliability of most clean energy sources are functions of the design process and availability, which depend on the models and geographical location of a place, respectively. The geographical location of Nigeria in the tropical zone grossly favours the harvesting of solar energy as an alternative energy source. Unfortunately, despite the availability of solar energy flux in the area, the population still depends on hydrocarbon-related fuels, arising from the underperformance of PV solar power installed in homes and streets. Therefore, it is necessary to develop mathematical models that can aid in the installation of reliable PV solar power systems. These mathematical models can alleviate the level of population ignorance in the design of reliable PV solar systems. Mathematical models were used to design PV solar power system for hypothetical load systems. The results show that designing a PV solar power system using mathematical models with assumptions specific to local geoenvironmental conditions could aid the installation of reliable power systems.