Efficient methods for identifying weak nodes in electrical power networks

The paper presents two computationally efficient and simple methods of identifying weak buses in electrical power systems. The main purpose of identifying weak buses is to maintain control of voltages at these buses, in particular to prevent voltage collapse. The first method is based on the right singular vector, corresponding to a minimum singular value of the power-flow Jacobian matrix, which indicates sensitive voltages. The second method is based on the voltage collapse proximity indicator. The presented methods are successfully applied to several systems