Flux pinned effect (FPE) takes place in high-temperature superconductors (HTSC) when being cooled below critical temperature in magnetic field and appears the self-stable with resisting the disturbing and recovering the initial equilibrium position , even in the failure of control, which is ideal for the activities of spacecraft. In order to investigate the special phenomenon, the image-dipole model (IDM) for interaction and spring-damper model (SDM) for system are adopted in this paper. IDM are based on two assumed images and SDM linked with flux-pinned interface is based on virtual spring and damper. Two models effectively deal with the flux-pinning and give some clear expressions. When moving along single orient, this paper demonstrates the pairs’ self-stability based on two models.