Optimal design of superconducting turbogenerators via polyparametric sensitivity analysis

Abstract

In this paper the dynamic behaviour of a superconducting turbogenerator is simulated by means of the Park's non-linear mathematical model in the state-space form so as to analyze the influence of the machine parameters simultaneous variations upon its dynamic behaviour via polyparametric sensitivity analysis approach. The computer program worked out by the authors is used to simulate a 2,000 MVA, three-phase, two-pole superconducting turbogenerator as well as to generate its parametric sensitivity functions. The machine model is subjected to a step input simulating a sudden three-phase short circuit occurring at the unit terminals. Its response is observed in the time domain simultaneously with the sensitivity functions, so as to determine the influence of each parameter variations on the dynamic behaviour of the simulated system. Investigation is here confined to the machine resistive parameters and only the ones which largely affect the machine dynamic response will be considered. The values of these ones are selected which achieve the most suitable machine dynamic response. Moreover a polyparametric sensitivity vector is derived from the parametric sensitivity functions in order to investigate the mutual influence of the parameter variations in their chosen ranges.