id: 06042159 dt: j an: 06042159 au: Oepomo, Tedja Santanoe ti: A $Z$-loop construction using graph theory and topology for 3 phase power system under faulted studies. so: Chin. J. Eng. Math. 28, No. 5, 569-588 (2011). py: 2011 pu: Editorial Board of Chinese Journal of Engineering Mathematics, Faculty of Science, Xi’an Jiaotong University, Xi’an la: EN cc: ut: linear system; fault studies; $Z$-loop; topology; graph theory ci: li: ab: Summary: This manuscript provides a step by step method on how a graph theory and topology can be utilized to construct a $Z$-loop matrix for the study of faulted 3 phase power systems. The growing demand for reliable electrical power supply has forced the pace developments in electrical power system analysis using computer power system analysis plays a significant role for the analysis of faulted power system, eventually for power system protection and control. By applying theoretical rules in graph theory, an algorithm to construct $Z$-loop without generating loop incidence matrix for network analysis/circuit analysis is studied. It has more than just minor special cases with those used in network analysis and circuit computer design. This paper describes a new algorithm to construct a loop impedance matrix without generating loop incidence matrix by means of a certain topological relationship, linear graph, or simply graph theory. Finally a numerical sample project is presented by the use of the loop impedance matrix to solve network analysis studies. rv: