Mathematical Modeling Asynchronized Synchronous wind Turbine Generator on the Basis of Generalized Variables with the Purpose of Main Machine Geometrical Parameters Optimization

One of possible trends in the development of wind-power engineering consists in implementation of double-fed electric machine as a main power generator. This type of electric machines is well-known, however, their application in wind power plants appears to be a new engineering solution. Having a strong influence on generator design and its operational mode, special working conditions of wind power plants require a new approach to the engineering design, in particular to the design of generators to be applied in the above-mentioned field. The present article contains one of optimal engineering techniques that is based on mathematical modeling and is used to design double-fed generators for wind-power plants application. On the one hand, the mathematical model should be simple to be easily included into variety of programmed cycles in order to determine optimum dimensions. On the other hand, the mathematical model should be able to provide required accuracy of the main parameters and characteristics. Such mathematical model is described in the present article. Its basis is generalized variables with transparent physical significance, short variation range and fixed boundaries. The optimization algorithm uses Gauss–Seidel method coordinate descent approach to achieve optimum and Fibonacci method to select step. The structure of the mathematical model is provided in the article. The accuracy of the elaborated model was verified using CAD software of Ansys Electronics Desktop and later this model served as a basis for designing 3MW generator, as well as proved to have good convergence with test results.