Compound matrix partitioning and modification for the solution of branched autotransformer traction feeds

The increasing use of autotransformer feed schemes in AC electrified railways, as a result of their obvious advantages, motivates a detailed analysis of the behaviour of these systems. A novel compound matrix partitioning and modification method for the solution of a branched autotransformer feed system is presented. The introduction of branch lines in the autotransformer feed model has stimulated the development of a new solution technique which is very well matched to the problem formation. Results are cited which indicate that the proposed method can achieve a very efficient and reliable solution.