On using transformation matrices and constraint equations for analysis of non-symmetric faults

Kron’s tensor-topological method being advanced by many Russian and foreign researchers opens wide opportunities for solving applied problems in complex electric power systems by means of tensor analysis and diakoptics. Its application to the analysis and calculation of asymmetric and complex types of faults occurring in power supply systems has its own peculiarities which are due to the need for transformations of variables (coordinate systems). In addition to the problems of defining transformation matrices and constraint equations, there are problems of combining individual parts of the system represented in different coordinates. Difficulties arise from the need to transform these matrices when constructing equivalent circuits. The paper discusses simplest examples to show some features of how coordinate transformation matrices, coupling matrices and constraint equations can be jointly applied, as well as how they can be differentiated when modeling and analyzing non-symmetric faults in power supply systems.