Matrix and tensor analysis in electrical network theory

Determinants;Matrices;Diagonalization of third-order matrices;Diagonalization of third-order matrices;Diagonalization of a sixth-order matrix by the rigorous mathematical method;Diagonalization of a sixt-order matrix by the less-rigorous method;Tensors;The tensor index notation;Tensor concepts in electrical engineering;Determinant applications;Matrix applications;Matrix applications (continued);Matrices of symmetrical components;The general untransposed network;The general transposed network;Admittance currents in earth-faulted networks;Tensor applications;Typical three-phase mesh network transformation tensors;The direct setting-up of Z and Y fron the network diagrams;The impedances of multiple-winding transformers;The series capacitor for automatic voltage control;Evaluation of potential and capacitance coefficients;The effect of multiple earthing of overhead earth wires;The influence of the point in a network at which an earth fault occurs;The general circle diagram for single phase A.C. circuits;The circle diagram and circuit calculations for power factor improvement;The circle diagram and circuit calculations for voltage improvement by series capacitors;The calculation of the voltages to eart of three-phase A.C. systems under fault conditions