Mathematical modeling of wind power plants is an urgent task, since the degree of their introduction into traditional energy systems is growing every year. At the same time, it is not always possible to obtain information about the processes in the power system. In such cases, it is possible to use the model of the power system. However, since the power systems are enormous, their model is also great, and therefore, with its detailed reproduction, many problems arise. One solution to such problem is to use simplified wind turbine models. The article substantiates the need to use detailed models of wind turbines to analyze their impact on the functioning of the power system. [ABSTRACT FROM AUTHOR]