Based on the method of moment (MOM) and marching on-in-time method (MOT), a new method solving the time domain integral equation (TDIE) was presented, which can analyze the transient response of the complicated electrical networks and thoses with lumped parameters electrical element effctively. The unknown variables were axis currents on the metal conductors, and piecewise linear function was selected as the basis funcion, applying subfield matching method to set up the time invariant matrix, which made the calculation process avoiding the matrix inverse operation, so as to decrease the complexity greatly. The results were compared with those obtained by the method of multi-conductor transmission lines (MTL) and frequency domain MOM, and the deviation was acceptable. This approach was applied to analyze the transient response of the buses in AIS to the switches operation.
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