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The voltage stabilization systems are often used in electrotechnical complexes. Paper describes design a mathematical model of the system of automatic regulation of an active front-end (AFE) operating in generator mode. The main task of the control is to stabilize of limited power electrical grid when the load is connected to it in parallel. Note that the active front-end AFE model is made as four-wire semiconductor device with eight transistors connected to the reactor. The AFE control system is a control system in a rotating d-q reference frame with a rotation frequency equal to the network frequency. The control system consists of a channel for regulating the current at the output of the AFE and a channel for regulating the network voltage by controlling the phase and amplitude of the EMF of the AFE. The proposed model allows to stabilize voltage in a limited power electrical grid when a load is included in it. This makes it possible to ensure the stable operation of the entire system.