The Perez irradiance model offers a practical representation of solar irradiance by considering the sky hemisphere as a three part geometrical framework, namely, circumsolar disc, horizon band and the isotropic background. Furthermore, the simplified Perez diffuse irradiance model, commonly known as the Perez transposition model, is one of the most widely adopted models in tilted irradiance assessments. Although the set of model coefficients reported by Perez et al. (1990) is often considered to be at an asymptotic level of optimization, later analyses have shown that coefficients which are adjusted to local conditions perform better than the original set.The model coefficients can be adjusted locally based on multiple datasets of diffuse and global irradiance on tilted and horizontal planes. In this paper, we present a different approach to adjust the coefficients, by using only measurements of global irradiance on tilted and horizontal planes from a tropical site, Singapore. A complete set of mathematical solutions to the inverse problem, i.e., converting irradiance from tilt to horizontal is also proposed. The data can then be used to generate irradiance maps from in-plane irradiance measurements at photovoltaic (PV) systems. Such maps are get- * Corresponding author. ting more relevant for PV grid integration due to the variable nature of solar power output.
Keywords: Perez model, reference cells, tropical regions, inverse transpositionList of symbols.