Multinode-power-system dynamic analysis

Abstract

Of the different analysis schemes by which large-scale dynamic analysis of interconnected power systems might be implemented, that developed in the paper is one in which the differential and nondifferential equations for solution are combined into a single nonlinear vector-differential equation set for the complete system analysed. In the development of the model, Kron's synchronously rotating frame of reference is used for the stator circuits of all machines, synchronous and asynchronous, and for the network system that interconnects them, while separate rotor frames are used for the rotor circuits of each machine. Explicit forms of plant matrices for this formulation are given, and the derivation of a complete system model from them is developed. In conjunction with a compact storage scheme, a solution sequence is derived by which near-minimal storage requirements in solution are achieved, and to which both single- and multiple- step integration routines may be directly adapted. Study results from trial analyses are included, and an assessment of the principal computing requirements in using the model developed in more general applications is made.