## 1 Introduction
[20] for the long-term performance evaluation of a concentrating thermo-photovoltaic collector with a parabolic mirror. The model validity was verified using data from experiments on a prototype system, and an exergetic optimization was performed. [PERSON] et al. [21] designed a concentrating hybrid system consisting of a Fresnel mirror with a channel PV/T collector which achieved a thermal performance of over 60%. An analytical model was also developed and validated based on the data produced. A PV/T element with a Fresnel mirror and a nanofluids-based optical filter was proposed by [PERSON] et al. [22]. By using ray tracing through the Monte Carlo method, the overall optical performance was estimated to be 93.54%, while CFD analysis indicated 18.52% thermal efficiency. [PERSON] et al. [23] experimentally examined the effect of different materials used for the construction of an asymmetric compound parabolic reflector. They constructed reflectors from anodized aluminum and aluminum steel (laminated). The analysis conducted showed no difference in the yearly output between the two materials. [PERSON] and [PERSON] [24] studied and observed the performance of five asymmetric PV/T solar collectors equipped with flat absorbers. The collectors were connected serially. A novel mathematical approach was created, and the respective results were compared with experimental data and validated. [PERSON] et al. [25] created a two-dimensional CFD analysis of a hybrid asymmetric compound parabolic collector (ACPC). The model was then validated with experimental results, and the optimum tilt angle was determined for Gavle, Sweden. Several modifications, such as insulation for the back of the reflector and different material for the absorber, were studied. The referenced sources make it evident that although there is a substantial body of work dedicated to examining solar collectors, the understanding of complete combined 3D optical and thermal simulations for asymmetrical concentrating hybrid solar collectors remains relatively constrained. Although previous studies indicate the existence of 3D simulations, this study offers a novel way to analyze these collectors and uses its results to create equations to describe their thermal behavior. This paper presents a comprehensive analysis of an ACPC-PVT collector which is suitable for applications in islands, as it combines electricity and thermal energy production. The study encompasses several aspects, including an optical analysis based on the ray tracing approach of Monte Carlo, to determine the ideal angle of inclination for the solar unit to ensure maximum energy generation, as well as the development of a novel numerical modeling technique for the thermal simulation. The method was established through two simulating programs (COMSOL and SolidWorks), and the reliability of the method was verified by comparing the results produced by the prementioned tools. The energetic and the exergetic performance of the studied solar collector is presented and analyzed. In summary, the objective of this work is to foster comprehension regarding the thermal performance of the ACPC-PVT collector, employing the outcomes of both the ray tracing analysis and the CFD simulations. The last ones employ a new methodology developed by the authors, in which the air inside the cavity is taken into consideration for the thermal simulation without including it in the computational domain, reducing the size of the mesh grid and consequently the computational cost of the analysis. By conducting the ray tracing analysis, a thorough comprehension of the limitations of the design is obtained. Meanwhile, by linking the findings from the CFD simulations to different inlet temperatures, the capacity to comprehend certain model outcomes without requiring a fresh complete CFD simulation on every occasion is provided.