Dynamics of a power synchro system with shunt-connected rotor resistancesߞTheoretical development and steady-state analysis

This and a companion paper deal with the study of a power synchro system with shunt connected rotor resistances, using generalized machine theory. The value of this approach in studying such systems was effectively demonstrated in two previous papers [1], [2]. In this paper, the previous work is reviewed and the analytical model developed for the system herein considered. The system performance equations, developed on a suitable reference frame are used in their non-linear form and are also linearized by Taylor series expansion, permitting the study of dynamic performance by the well developed methods of linear system analysis for small perturbations about a quiescent operating point. The model parameters for an actual system are determined experimentally. Steady-state performance of the system, for different values of the external resistance is investigated theoretically and the model verified experimentally. In the companion paper, the effect of system parameters and drives on the dynamic performance is investigated using eigenvalue analysis for small perturbation studies, and by simulating the system using the Continuous System Modeling Program for small and large disturbances. Experimental results are presented to establish the validity of the Model and the theoretical studies. It is hoped that these papers will provide a better understanding of this simple and effective system.