Power system small-disturbance stability analysis using circuit-theoretic techniques

The authors review power system small-disturbance (SD) stability using circuit theoretic techniques. SD stability is the stability of an equilibrium operating point under small perturbations such as load fluctuations. Different system models are considered for frequency and for voltage problems. The SD stability analysis is usually performed via linearization of the system equations around the equilibrium of interest. An equilibrium is SD stable if all eigenvalues of the corresponding Jacobian matrix lie in the open left half plane. Necessary and/or sufficient conditions for SD stability are often obtained through positive-definiteness and M-matrix properties of a certain matrix. These properties are derived from the node admittance matrix of a network of positive resistances