To enhance the systematization and universality of solar wing panels' design theories and methods, a geometric model is proposed to describe the relationships between developable surface and panels' configuration. Using the analogy method, the straight generatrix of developable surface is regarded as revolute joint between two panels while the developable surface between straight generatrices as the panel. The unfolding principles of solar wing panels are expounded from the perspectives of geometry and mechanical configuration, the constraint equations of geometric features in the different panels' configurations are established. The concept of basic component of developable solar wing panels is elaborated and the basic components are found, which is helpful for its innovative design. The existing solar wing panels' configurations are classified and analyzed to demonstrate the relationships between developable surfaces and panels, the geometric model of a new panels' configuration is built by configuration analysis at last.