A novel compact model is developed to predict the PV temperature Tpv, coefficient f which relates Tpv with the in-plane solar irradiance IT, and power output Pm. The Tpv, IT, ambient temperature Ta, and wind velocity vw on a sun-tracking pc-Si PV and c-Si BIPV were monitored. f depends explicitly on vw, PV efficiency, heat losses coefficient, and implicitly on Tpv, IT, Ta, loosely on the module inclination at low vw, while this effect weakens at high vw. Tpv prediction is provided by means of 5 functions, which cater for the deviation of the environmental conditions from the Standard Operating Conditions, the operating efficiency, the natural ageing, PV geometry and cell technology. The Tpv prediction for the sun-tracking system has relative error 2.6% for PV operating temperatures around the NOCT, and may overestimate by up to 1.4 °C. Similarly, the relative error for the BIPV system is −2.1% for PV temperatures around the NOCT, with underestimation up to 1.6 °C. The model predicted Pm with relative error 1.9% for PV operating near its nominal value. The model is compared to 3 well-known models and also applied to other BIPV/BAPV configurations in various countries proving its wide applicability, high accuracy and universality.