Analytically calculating shading in regular arrays of sun-pointing collectors

A method is presented for deriving an algorithm for analytically calculating shading of sun-pointing solar collectors by other identical collectors in the field. The method is particularly suited to regularly-spaced collectors, with convex aperture shapes. Using this method, an algorithm suitable for circular-aperture collectors is derived. The algorithm is validated against results obtained using an existing algorithm, and an example for usage of the algorithm as a tool for validating assumptions of an existing algorithm is presented.