AC power feeding systems of electric railways can be viewedas a multi-conductor chain circuit. All electrical elementsalong the railway, even including the short circuits andconductor breaks, can be described as series or shuntelements. According to the chain circuit topology, themathematical model of the whole feeding system, i.e. theadmittance matrix, can be assembled conveniently byappropriately modelling each element. Considering therelatively large leakage conductance of the current return railto the ground, multi-conductor equivalent-p? circuits can beadopted for each section of the feeding system. Thecharacteristic admittance matrix, which can be calculated bythe phase-modal transformation method, is introduced for thetruncation treatment at terminals of a feeding system. Theproposed modelling methodology has been realised using asimulation program, which can be used to investigate a widerange of problems in electric railway feeding systems, such asthe conductor current distribution, the lowest train voltage atpeak time, the short circuit calculation, the rail potentialdistribution and the harmonic propagation.