Analytical approach for allocation of energy losses in active distribution system using the method of energy summation

This paper presents a new algorithm designed for the allocation of daily energy losses in radial distribution networks (DNs) featuring distributed generations. The algorithm employs a branch-oriented approach, widely acknowledged as the most effective method for addressing issues in radial DNs. To implement this methodology in a DN environment, a current summation algorithm is utilized. The statistical approach is employed to organize the complete data of daily load and generation curves, providing key quantities necessary for determining energy loss allocation. By leveraging the statistical characteristics, the proposed method calculates the single equivalent values of the collected data from the daily load and generation curves. These values are then used to perform power flow calculations and subsequently allocate the energy losses. To validate the effectiveness of the proposed method, tests are conducted on 33-node and 69-node radial DNs under load levels of 30%, 100%, and 150%. The obtained results were compared with those from the energy summation method of loss allocation and the repetitive geometric scheme of loss allocation method. Under all three load levels, the proposed method demonstrated an unbiased approach, avoiding the addition of economic burden of losses over groups of consumers and generators individually. Moreover, the performance of the proposed method was found to be well-suited and highly acceptable. This underscores the reliability of the proposed approach, achieving results within an acceptable error margin of 10%.