The use of distributed generation resources and communication infrastructure for awareness of generation levels, load, and technical constraints in the distribution system transforms the existing system into an active distribution system. In this paper, by introducing a new index for voltage stability and incorporating it into the problem of optimal distributed generation placement, a new problem is defined, and its effectiveness in improving voltage stability is investigated. In this paper, the objective function is defined as a profit function for the private sector investor (wind turbine owner) and the distribution system operator, and indices for voltage stability, active power losses, and reactive power losses are also included. By assigning different weights to each index, the profit function is derived from the perspectives of both the private sector and the distribution system operator. Furthermore, the wind turbine is examined in two modes: constant power factor and variable power factor. to solve the optimization problem in this paper, a Genetic Algorithm has been used. Based on the results obtained for different indices and schemes, and by using Analytical Hierarchy Process (AHP), the results are prioritized for different perspectives (from the viewpoint of the private sector and the distribution system operator). additionally, in this paper, the uncertainty of wind turbine generation as well as load demand uncertainty are considered in the optimization problem, and the study is conducted for various load models. By implementing the proposed method on the standard IEEE 33-bus and 37-bus test systems and comparing it with other indices, the efficiency of the proposed method is proven.