Rapid charging events, a new spacecraft charging phenomenon first observed on the International Space Station in 2006, have not been thoroughly understood until now. In this paper, a model for the rapid charging based on Ferguson's theory is described. By model calculations, the fundamental processes and characteristics for the rapid events are investigated to understand the underlying mechanisms. It is elucidated that the rapid charging is a nonequilibrium process driven by the abrupt panel voltage switch-on at eclipse exit, in which case the charging of the cover glasses by the ambient plasma cannot follow the sudden change quickly enough and block the electron collection of the solar panels. As the rapid charging reaches equilibrium, it displays as a normal charging event. The rapid charging amplitude depends on many variables, of which the panel voltage switch-on time, switch-on pattern, and the local plasma density are dominant factors. That is why the rapid charging events data have a lot of scatter. However, the maximum potential decreases with increasing electron density in a definite range, as indicated by both model calculations and observations. Nomenclature A SA = exposed conducting areas on the solar panels, m 2 A Str = exposed conducting areas on the structure, m 2 C s = structure capacitance relative to space plasma, F E ram = ram ion energy, eV I k = current density collected by the kth node on the solar panels, A I net = net charging current collected by the exposed conducting area on the structure, A I str = electron current collected by the exposed conducting area on the structure, A J e0 = thermal electron current density, A · m −2 J i0 = thermal ion current density, A · m −2 J e−SA , J i−SA = electron and ion current density collected by the solar arrays, A · m −2 J i−Str = ion current density collected by the structure, A · m −2 N e = electron number density, m −3 r sh = plasma sheath thickness, m T e = electron temperature, eV t 0 = time scale for solar panels to be fully switched on in sunshine, s t max = maximum charging duration of the structure, s U = saturated solar panel voltage, V V = voltage distribution on the solar panels, V V k = potential for the kth node on the solar panels, V V 0 = solar panel voltage, V v s = spacecraft velocity, m · s −1 x = normalized distance along solar panels by the panel length xj V0 = voltage terminator position on the solar panels λ d = Debye length, m τ ch = time scale for cover glasses charging by ambient plasma, s ϕ = structure floating potential, V ϕ max = maximum amplitude of the floating potential, V