Optimal linear power flow for droop controlled islanded microgrid

The time of optimal planning and operation of islanded microgrid (IMG) can be minimized by modeling it as non -iterative mixed integer linear problem (MILP). In this respect, conventional non-linear power flow model needs to be transformed to its linearized form without loss of accuracy and robustness. In the present work, a linearized droop based power flow model for IMG has been developed which takes the advantage of topology of the network by modeling it in form of matrices to reduce computation time and complexity. The proposed method is compared to earlier developed non-linear power flow models for IMG. Further, linear power flow equations are formulated as MILP for optimal dump load allocation problem to resolve V and f fluctuations in an IMG. The results of proposed MILP formulation are compared with another proposed MINLP based non -iterative method and an already existing MINLP based iterative method which involves non-linear power flow and heuristic techniques. The IEEE 33 -node and 69 -node radial distribution networks (DNs) have been modified as droop controlled IMGs and used as test beds. The work has been conducted in GAMS/MATLAB.