An Improved ANN–BPN to Radial Distribution System Load Flow - Proceedings of All India Seminar on Biomedical Engineering 2012 (AISOBE-2012) - page 184

Fig. 1 Single line diagram of a radial distribution network

Fig. 2 A simple 8-bus ladder network

situation can be presented to the trained ANNs, and hence the prediction of RDS
without any mathematical iterative and computational method is guaranteed.
In this paper, first a simple ladder iterative technique is described for solving
the radial system power balance equation. The aim of using this technique is to
reduce the data preparation and to assure computation for any type of numbering
scheme for node and branch. A database providing information of the possible real
and reactive power demands at different buses and their corresponding voltage
magnitude and phase angles is created. Second, an ANN-Back Propagation Net-
work is introduced with brief introduction of its architecture, training algorithm,
and recognition phase. Third, an implementation of BPN for determining bus
voltages and the corresponding angles is been shown, followed by the results of a
sample IEEE test system studied by the proposed method. Finally, the conclusion
is presented.

Ladder Network Technique

It is assumed that the ladder network parameters for lines, loads, and substation
voltage V S are known. If the line impedances, rated voltage, and the complex
power at each node are known then the values of the current, voltage, active, and