A significant component of society’s sustainable development is producing energy from renewable sources. Various energy sources, including solar, biomass, biogas, and wind, must be utilised to their full potential to fulfil current demands. In most nations like Nigeria, there are a lot of rural areas that suffer from energy supply. This has brought up many studies on how optimisation techniques can help manage the sustainability of the supply of this generated energy to such areas. Therefore, this review paper focuses on the performance analysis of several studies on the impact of mathematical modelling and various optimisation techniques on power generation systems via renewable sources. The study review papers from a quality outlet such as Elsevier, Springer, and other quality journals indexed in Scopus databases. On biomass production, wind energy production system, steam and solar energy. The finding from the study showed that the application of real-life engineering optimisation tools and models developed significantly improved the power generation process globally. Therefore, in the study’s conclusion, the authors provided sustainable recommendations on how to apply these models to improve the sustainable power generation process.