Based on circuit analysis, this paper shows that the number of peak points can be determined by short-circuit currents and maximum-power point currents of all the arrays in series. The principle is established based on which the number of the peak points is to be determined. Furthermore, based on the dynamic characteristic of solar array, this paper establishes the rule for determination of the relative position of the global maximum power point. In order to track the global maximum power point within an appropriate period, a reliable technique and the corresponding computer algorithm are developed for global maximum power point tracking control. It exploits a definable nonlinear relation is found between variable environmental parameters and the output current of solar arrays at every maximum power point, obtained based on the dynamic performance corresponding to partial shading conditon.