Tellegen theorem based load flow solution of Radial Distribution Network with laterals

Abstract

In this paper, a new load flow solution of Radial Distribution Network with main feeder and laterals is determined using Tellegen theorem. The power conservation principle or Tellegen theorem is considered at network level. Since the Distribution Networks are radial in structure with high R/X ratios, the conventional methods failed to give convergence. The researchers developed many separate load flow methods, based on this conservation of power at a bus level namely Forward Sweeping method and Dist Flow method. The proposed Tellegen theorem based algorithm is applied on to a 440V, 28 bus radial distribution system with a main feeder and laterals and the results are compared with “Forward sweeping method” and “Dist flow method”. Based on the methodology, computer program is developed using MATLAB. The bus and branches are indexed with a separate new method. It is observed that the memory requirement did not increase as the size of the distribution system increases and as the method does not have higher order equations and no trigonometric parameters compared to Forward sweeping and Dist Flow methods the proposed method is has smaller execution time.