The subject of this study is a doubly-fed induction machine with frequency control. We have described the most promising areas of application doubly-fed induction machine. The resulting equation for the voltage vector of the rotor of a doubly-fed induction machine with frequency control. We have listed the equations required to create the mathematical model of the doubly-fed induction machine with frequency control. We described the process of obtaining the expressions for the module of the voltage vector of the rotor, ensuring the operation of the doubly-fed induction machine with a constant active power of the stator throughout the entire range of slip variation. We have obtained an expression for the module of the voltage vector of the rotor, ensuring the operation of the doubly-fed induction machine with a constant reactive power in a limited slip variation range. The static characteristics of the doubly- fed induction machine with frequency control were constructed in MATLAB. A analysis of static characteristics was performed.