Resistance influence on the synchronous and compensating reactances in a SMIB power system

This paper is concerned with conclusions that may be derived from algebraic formulation for the reactance-voltage relationship under stability limits of a single-machine infinite-bus SMIB system. The solution for the outstanding problem evolves in an equation for the necessary conditions referred to the receiving-end voltage V_R with the sufficient conditions hence the complete solution being provided by a second relationship for the sending voltage E. The resulting high-order continuous stability function that simultaneously solves for the inductive and capacitive coupling reactance elements (in-waiting-for-E) is bound to embody equilibrium and singularity states that cannot be observed through equations without the resistance element. Whereas use is made in this paper of two such states in relation to the performance of SMIB and capacitor-compensated systems, it is envisaged that the algebraic closed-form solution will enable identification of additional states for which physical significance can be attached.