Solar radiation under clear-sky conditions provides information about the maximum possible magnitude of the solar resource available at a location of interest. This information is useful for determining the limits of solar energy use in applications such as thermal and electrical energy generation. Measurements of solar irradiance to provide this information. Clear-sky conditions, on the other hand, present atmospheric conditions that produce predictable effects on solar irradiance. There is growing interest in models that predict clear-sky solar irradiance, which resulted in the development of many models that vary in complexity and accuracy of prediction [3][4][5][6][7][8][9][10][11]. A majority of these models predict broadband clear-sky irradiance, where the clear-sky atmospheric effects are accounted for by broadband attenuation parameters such as Linke-turbidity coefficient [12,13] and Angstrom coefficient [14,15]. Calibration of the models for local conditions involves an empirical process that computes the relevant broadband attenuation parameters using the clear-sky irradiance models backwards, with a selection of measured local clearsky solar irradiance data as input [16]. It is also possible to generate clear-sky irradiance from a set of astronomical and weather parameters using artificial neural networks (ANNs). The ANNs approximate the functional relationship between random input and output variables by learning from examples made up of historical data output and input variables [17]. Published applications of ANNs in the field of solar energy include time-series forecasting of solar radiation quantities [18][19][20][21] and other function approximation or regression models that map a set of input parameters like temperature into radiation quantities [22][23][24][25][26]. One major attraction of ANN methods is their ability to find relations between input and output even if the representation was intractable [19]. The ANN can, therefore, map a wide range of possible combinations of input or explanatory variables to a single desired output. This, however, does not underplay the importance of carefully selecting the variables. Koca et al. [26], for example, showed that different combinations of inputs affected the performance of ANN models that predicted global solar irradiation.Solar energy is one of the promising sources of energy in South Africa. It is therefore important to investigate the performance of solar radiation models for South African conditions. A growing database of solar irradiance data from measurements by the Southern African Universities Radiometric Network (SAURAN) [27] provides opportunities to investigate and develop clear-sky models for South African conditions. The present investigation considered four models, two of which are semi-empirical broadband models: Ineichen-Perez (I-P) [10] and European Solar Radiation Atlas (ESRA) [11], which take