Optimal placement of distributed generations with modified P-V Modal Analysis

Optimal allocation of DGs is currently one of the major challenges for power system engineers. Determination of the proper location of DG units is imperative to maximize their benefits. This research investigates optimal placement of multiple DG units to obtain the most stable system. The proposed method is based on an advanced voltage stability analysis method: the new modified Voltage-Active Power Modal Analysis (VPMA). The modified VPMA assesses voltage stability by considering the incremental relationship between voltage and active power instead of between voltage and reactive power. The VPMA method involves eigenvalue techniques and the associated eigenvectors of the reduced Jacobian matrix. The eigenvectors of the reduced Jacobian matrix are calculated to determine the Voltage-Active Power Modal Participation Factor (VPMPF). VPMPF provides an indication of the weakest bus in the system. Furthermore, an objective function based on loss reduction and eigenvalue is formulated to determine the most appropriate bus location for DG placement. The proposed VPMA method is tested on the IEEE 34-bus distribution network and the results show the robustness of the method. Further relevant findings are also discussed in this paper.