Abstract-A mathematical model of a large rectenna array (LRA) is presented. It is shown that matrices describing the LRA linear subsystem have a number of specific features that must be considered when the rectenna mathematical model is developed. The state equation for the LRA was obtained. It is shown that the model functioning in nonlinear mode of the infinite rectenna array can be reduced to the parameters of one equivalent receiver-rectifier element (RRE) at the fundamental frequency and its harmonic. The external parameters of RREs and characteristics of LRAs were obtained.