Математична модель трифазного трансформатора як елемента електроенергетичної системи

Abstract

A problem of developing mathematical models for the three-phase transformer is considered, which are convenient to solve numerically and by the method of computer simulation. Two mathematical models of three-phase transformers are suggested, which are different from the point of view of their numerical realization and universality that is the possibility to analyze the offline operation of the transformer and complex energy systems. The three-phase mathematical model of the transformer consists of differential and algebraic equations, which are analytically reduced to Cauchy’s normal form. Such a form of the equations removes necessity of inversing the coefficient matrix at every step of numerical integration, what slows the error accumulation down, and decreases the computing time.