Matrix properties relating to stability analysis

With reference to a multimachine power system are presented properties and conditions to be satisfied by matrices M, K, D (inertia coefficients, synchronizing coefficients and damping coefficients) in order that the system can be stable. The analysis is carried out with the assumption that the transfer-conductances are negligible while the damping effects (of the field and damper circuits) are taken into account. The formulation is general, i.e. it can be applied to any system with n degrees of freedom, subjected to conservative positional forces and to dissipative forces linearly dependent upon the speed.