A method is provided for using asymmetrically focused photovoltaic conversion in a hybrid parabolic trough solar power system. Light rays received in a plurality of transverse planes are concentrated towards a primary linear focus in an axial plane, orthogonal to the transverse planes. T band wavelengths of light are transmitted to the primary linear focus, while R band wavelengths of light are reflected towards a secondary linear focus in the axial plane. The light received at the primary linear focus is translated into thermal energy. The light received at the secondary linear focus is asymmetrically focused along a plurality of tertiary linear foci, orthogonal to the axial plane. The focused light in each tertiary linear focus is concentrated into a plurality of receiving areas and translated into electrical energy. Asymmetrical optical elements are used having an optical input interfaces elongated along rotatable axes, orthogonal to the axial plane.