Solving several problems of power systems using spectral and singular analyses

The paper is of tutorial nature, covering a wide range of the spectral and singular analyses of the electric power systems' (EPS) nodal admittance matrix and Jacobian matrix. Results of the analyses are applied to detect sensors and weak places in EPS and to visualize them. This allows for the solution to many important problems related to power system operation like estimation of network reinforcement and determination of sites for power quality metering. In this paper the theoretical background of the approach and its above mentioned applications are presented and discussed in the scope of their usefulness for the power system operation, planning and control.