## Abbreviations \begin{tabular}{l l} \(A_{0}\) & reference collector surface \\ \(A_{i}\) & generic collector surface \\ \(D_{\text{EW}}\) & distance between trackers in east-west direction \\ \(d_{i}\) & geometric displacement vector from polygon \(\Pi_{0}\) to \(\Pi^{\prime}_{i}\) \\ \(d_{n}\) & Julian day \\ \(D_{\text{NS}}\) & distance between trackers in north-south direction \\ \(d_{Xi}\) & X component of \(d_{i}\) \\ \(d_{\text{Yi}}\) & Y component of \(d_{i}\) \\ \(F_{1}\), \(F_{2}\) & weighting factors for the decomposition of the inclined diffuse radiation \\ GCR & ground cover ratio \\ \(H_{m}\) & incident radiation on the collectors on each representative day of a month according \\  & to [PERSON] \\ \(H_{year}\) & annual global radiation \\ \(H_{year}^{est}\) & annual solar irradiance on the solar collectors estimated according to Equation (28) \\ \(H_{year}^{day}\) & annual solar irradiance on the solar collectors estimated according to Equation (29) \\ \(\overset{\rightarrow}{i},\overset{\rightarrow}{j},\overset{\rightarrow}{k}\) & unit vectors associated to a local Cartesian system \\ \(I\) & global solar irradiance on the tilted collector \\ \(I_{B}\) & direct solar irradiance on horizontal plane \\ \(I_{D}\) & diffuse solar irradiance \\ \(L_{x}\) & horizontal longitude of the collector before cuts \\ \(L_{y}\) & vertical longitude of the collector before cuts \\ \(\overset{\rightarrow}{n}\) & normal vector to the surface \\ \(N_{D}\) & different design of the inter-distances between collectors \\ \(N_{G}\) & different forms of collector shape \\ \(N_{m}\) & number of days in the month \(m\) \\ \(N_{S}\) & possible spatial distributions of the solar trackers in the plant \\ \(N_{T}\) & different combinations of geometric designs result of crossing \(N_{G}\cdot N_{D}\cdot N_{S}\) \\ \(P_{0}\) & position of the reference collector \\ \(P_{l}\) & position of a generic collector \\ \(\overset{\rightarrow}{s}\) & solar vector \\ \(S_{col}\) & collector surface \\ \(s_{x}\), \(s_{y}\), \(s_{z}\) & components of solar vector \\ \(T\) & discriminatory variable of the type of configuration \\ \(X_{dl}\) & x-coordinate of the vertex corresponding to the cut made in the lower left corner \\ \(X_{dr}\) & x-coordinate of the vertex corresponding to the cut made in the lower right corner \\ \(X_{env}\) & array with the x-coordinates of the collector shape \\ \(X_{ul}\) & x-coordinate of the vertex corresponding to the cut made in the upper left corner \\ \(X_{ur}\) & x-coordinate of the vertex corresponding to the cut made in the upper right corner \\ \(Y_{dl}\) & y-coordinate of the vertex corresponding to the cut made in the lower left corner \\ \(Y_{dr}\) & y-coordinate of the vertex corresponding to the cut made in the lower right corner \\ \(Y_{env}\) & array with the y-coordinates of the collector shape \\ \(Y_{ul}\) & y-coordinate of the vertex corresponding to the cut made in the upper left corner \\ \(Y_{ur}\) & y-coordinate of the vertex corresponding to the cut made in the upper right corner \\ \(\overset{\rightarrow}{u}\) & horizontal vector to the maximum slop direction of the collector plane \\ \(v\) & parallel vector to the maximum slop direction of the collector plane \\
**Greek Letters** \\ \(\beta\) & inclination angle of the terrain \\ \(\gamma\) & azimuth angle of the collector rotation axis \\ \(\delta\) & solar declination \\ \(\varepsilon\) & estimation error of the proposed model \\ \(\varepsilon_{rel}\) & relative error of the proposed model \\ \(\theta\) & angle of incidence of sunbeams on the inclined plane \\ \(\theta_{z}\) & solar zenith angle \\ \(\rho\) & albedo \\ \end{tabular} \begin{tabular}{l l} \(\varphi\) & latitude \\ \(\Omega\) & Earth's rotation speed \\ \(\Gamma\) & daily angle \\ \(\Pi_{0}\) & reference polygon collector \\ \(\Pi_{i}\) & generic polygon collector \\ \(\Pi^{\prime}_{i}\) & projection of generic polygon collector over \(\psi\) \\ \(\psi\) & plane that contains the reference collector \(\Pi_{0}\) \\ \end{tabular}