A Fractional Collocation Method Based On The Puiseux Series

In the case of high frequency, the transformer and other winding devices show obvious frequency variation effect, thus establishing a transformer and other winding device fractional model. Accurate solution of the model is of great significance for the accurate analysis of the distribution of the voltage across the winding. However, the numerical solution of fractional order equations is not well considered, and the accuracy of the solution is affected.In this paper, based on the research background, fully taking into account the characteristics of its fractional Fractionl, and a new series, Puiseux series, is based on the existing methods, a fractional order collocation method based on fractional power series Puiseux series is proposed, and applications in multi-conductor transmission line transformer winding Fractional model, in order to verify the accuracy of the method. Firstly, this paper introduces the research status of the numerical solution of fractional differential equations, this method is given, based on the original Fractional collocation methods; the advantages of this new method are compared with the existing method, the convergence analysis is carried out and the accuracy of the method is verified by numerical examples. This method enriched the research contents of the numerical solution of fractional differential equations. Secondly, the multi-conductor transmission line Fractional model spatially discretize. Finally, the method is applied to the multi conductor transmission line model of the transformer windings after space discretization, and the feasibility of the method is verified by comparing with the experimental results.