Advancements in photovoltaic (PV) materials have now enabled the ability to create PV systems capable of conforming to an arbitrary surface instead of being limited to flat and ridged modules. However, the non-planar arrangement of PV cells produce effects similar to that of partial shading. Therefore, the role geometry plays on energy collection must be investigated for practical applications. A mathematical model of non-planar PV surfaces that calculates the diurnal energy harvest potential and power profile is presented to give insight on the potential benefits of curved PV and how the characteristics of the curvature affect collection. The results show the potential for substantial increase in total diurnal energy of with respect to a flat module. In addition, the non-planar geometry of the PV surface creates unique power profile characteristics that can be used beneficially to shape the time-of-day and seasonal generation profile.