An analytical method to calculate COPT for distributed generation units with the same capacity

Distributed Generation (DG) has a various effect on distribution networks such as reducing the losses, improving the voltage profile, reliability and etc. Also these units can affect other levels of power system like as reducing transmission lines congestion and post ponding generation expansion programs, these units change the HLI reliability indices, these indices describe the risk of load shading due to outages in the generation system. Forming a capacity outage probability table (COPT) is the classic way to calculate these reliability indices. Due to the fact that the number of installed DGs in a power system is much greater than the number of conventional units, COPT will have numerous rows, hence the burden of the calculating process of it will be huge. Fortunately, as the high possibility to categorize the installed DGs in the group with the same capacity and different force outage rates (FORs), this paper purposes an analytical method to reduce COPT states and accelerate its calculating process.