A Fast Algorithm for Estimating the Voltage Deviation of the Nodes of an Electrical Power System with Longitudinal Compensation

The problem of optimal placement of reactive power compensation (RTC) devices in the power supply system (EPS) is considered. An algorithm for determining the location of the RPC installation in the power grid (EPN) is proposed, based on the choice of devices that provide the greatest EPS coverage and allow creating the maximum effect on the voltage deviation in the nodes. The reactive power consumed by the devices is used as an economic criterion for comparing the installation options of RPC devices. Since this parameter reflects the cost of the device. The stress deviation in the EPN nodes is determined by means of relations obtained using the bilinear theorem (BT). This approach will reduce the time and financial costs of finding a solution to the problem. Since having functional ratios, it is not necessary to calculate the mode for the entire system, it is enough to use the ratio between a specific node and the line in which compensation is performed. A unique algorithm was also proposed for determining the distance between nodes along the length of the graph using the incidence matrix, which allows you to determine the nodes associated with the regulated line without using EPN graphics.