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DC bias current flowing into the neutral point of power
transformer will seriously affect the normal operation of AC power system. In
this paper, exciting current, harmonic component of the excitation current,
magnetic flux density and noise of transformer were analyzed when the transformer
is in the no-load operation state based on field-circuit coupled method.
Through the calculation and analysis, some reference bases are provided for design
solutions for nonlinear differential equations based on the Rach-Adomian-Meyers
decomposition method are designed in this work. The presented one-step numeric
algorithm has a high efficiency
due to the new, efficient algorithms of the Adomian polynomials, and it enables
us to easily generate a higher-order numeric scheme such as a 10th-order scheme,
while for the Runge-Kutta method, there is no general procedure to generate higher-order
numeric solutions. Finally, the method is demonstrated by using the Duffing
equation and the pendulum equation.