## 1 Introduction
[PERSON] and [PERSON] [40] simulated and modelled a parabolic concentrator, however, their work only showed the effect of meteorological parameters (i.e., direct solar isolation, ambient temperature, air density, sun elevation angel and the wind speed) on the energy output. [PERSON] et al. [41] used MATLAB to compare the performance of a CPV module with and without cooling system. However, their model only showed the variations of the CPV's temperature against the ambient temperature and direct normal irradiance. [PERSON] et al. [42] attempted to estimate the maximum power of a high CPV (HCPV) module under real conditions. Their model was created by using 'a simple-easy-to-use equation'. They compared their model with experimental data and found that the model achieved a root mean square error of 3.48%. All these work [40; 41; 42] did not indicate or specify the I-V and P-V characteristics of the CPV. [PERSON] et al. [23] demonstrated a MATLAB simulation to determine the I-V and P-V characteristics of a reflective crossed CPC. Their model required the short circuit current and the open circuit voltage to be determined from experiments while the other parameters were provided by the manufacturers. Although the model showed the I-V and P-V characteristics, the results were not compared with the experiments-hence it is not possible to identify the effectiveness of their model. [PERSON] et al. [43] described in detail the design and testing of a MATLAB simulation to model a reflective crossed CPC. They described the steps for extracting the model's parameters using the open and closed circuit conditions as well as the maximum power point, through an iterative calculation until convergence. They identified five important parameters to be used in the model. They recommended that the diode ideality factor, the diode saturation current and the series resistor to be determined using an optimisation algorithm, while the photocurrent and the series resistor were determined analytically and iteratively. Having implemented the model, they then compared the performance of the simulations against the predicted characteristics from the PV cells datasheet and six sets of experimental results using different PV modules, resulting in an average error of 5.53%. Both the models by [PERSON] et al. [23] and [PERSON] et al. [43] only considered the simulation at normal irradiance. There were no analysis carried out to show the angular response of these CPV designs. This paper aims at presenting a mathematical model to predict the I-V and power-voltage P-V characteristics of a static concentrator known as the rotationally asymmetrical dielectric totally internally reflecting concentrator (RADTIRC) and estimates the angular response of the RADTIRC. The paper is structured as follow: Section 1 provides an introduction with a brief literature on different models developed by other researchers, Section 2 offers the methodology of the work, Section 3 describes the mathematical formulation of the CPV model, Section 4 demonstrates simulation process, Section 5 discusses the results from the model and compares them with the experimental result, and finally Section 6 is the conclusion.