An analytical method for the sizing and siting of distributed generators in radial systems

To minimize line losses of power systems, it is crucially important to define the size and location of local generation to be placed. On account of some inherent features of distribution systems, such as radial structure, large number of nodes, a wide range of X/R ratios; the conventional techniques developed for the transmission systems generally fail on the determination of optimum size and location of distributed generations.In this study, a loss sensitivity factor, based on the equivalent current injection, is formulated for the distribution systems. The formulated sensitivity factor is employed for the determination of the optimum size and location of distributed generation so as to minimize total power losses by an analytical method without use of admittance matrix, inverse of admittance matrix or Jacobian matrix. It is shown that, the proposed method is in close agreement with the classical grid search algorithm based on successive load flows.