Fast Power System Dynamic Simulations Based on Differential Transform Method

摘要

The Differential Transform Method (DTM) is a numerical method to derive the analytical solution of the initial valued dynamic equations. It is used to get the coefficients of power series by the transformation rules instead of calculating the high order derivatives. In this paper, a novel dynamic simulation method for power systems based on the DTM is proposed. Variables of power system differential algebraic equations (DAEs) are derived into the form of the power series, whose coefficients are solved by the DTM. More importantly, the nonlinear algebraic equation (AE) can be derived as power series of network variables whose coefficients are linear. Meanwhile, a MATLAB simulation program for power system dynamics (MATDYN) is developed, which includes the models of generators, motors and ZIP-loads. Verified by the IEEE New England 39-bus power system, the DTM can significantly improve the speed of power system dynamic simulations.