Effective Mathematical Model of Synchronous Machine with Turn-to-turn Short-circuit of Rotor Winding for Adaptive Methods of Identification

Abstract

A number of requirements are shown for perspective discrete mathematical models: fine discretisation pitch, the guaranteed asymptotic stability, obvious type of numerical methods, program and algorithmic optimization of calculations. In this paper the application of bilinear transformation for the creation of discrete mathematical synchronous machine model with rotor inter-winding fault is considered. This approach allows solving a number of challenges which arise using standard optimization methods, vide licet non stationarity of dynamic systems, influence of integration fault on accuracy. In this paper the transition from the system of differential equations describing operation physics of the synchronous generator to differential is considered. In terms of the received differential equations, a schematic structure allowing to implement a mathematical model without the application of additional controller mathematical functions is made. By means of experimental installation the approbations are made with validity check, as a result, a discrete mathematical model of the synchronous generator with rotor inter-winding fault is obtained. The offered approach to the creation of a discrete mathematical model of the synchronous machine could be used for the identification problems solution for the turn-to-turn short circuit where the adequate, high-speed and steady model is necessary.