A Fitting Analytic Expression Construction of Power Angle Phase Trajectory

Dai-rui LI


When the second order model is applied to the generator, the equation of rotor motion will be a second order nonhomogeneous nonlinear differential equation with constant coefficients. In engineering, improved Euler method is generally applied to obtain the results of phase trajectory. To deal with the contradiction between accuracy and efficiency of this solution, a method using function fitting during key interval was presented in this paper. Through R2 testing method, an optimal fitting formula can be decided. In addition, a practical calculation formula was derived based on LU decomposition. After combining the feature of fitting function and key interval, the calculation of coeffients can be simplified using machine learning.


Equation of rotor motion, Phase trajectory, Goodness of fit, Machine learning


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