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A Spice-Compatible Macromodel for Field Coupling to Multiconductor Transmission Lines Based on the Analog Behavioral Modeling

An accurate and efficient time-domain macromodeling algorithm based on the analog behavioral modeling (ABM) and generalized method of characteristics is proposed to calculate current and voltage responses of multiconductor transmission lines (MTLs) to incident field coupling. The proposed macromodel adopts the frequency response table of Laplace-domain elements in ABM library of Spice solvers to model the characteristic impedance (or admittance) and propagation operator of transmission lines and calculate the convolution in the time domain. Time-domain convolution is implemented by the solver, without the need of delay extraction and rational approximation for the MTLs solution. Compared with the existing algorithms for calculating the responses of incident field coupling to MTLs, the proposed algorithm largely simplifies the modeling and simulation process while ensuring stable responses, especially for long MTLs. Besides, it is also applicable and efficient to solve the case of nonlinear terminal elements, directly in the time domain. Several numerical examples of single conductor, two conductors, and three-phase 35 kV power transmission lines loaded with nonlinear metal oxide arresters are studied. The calculation results and CPU times are compared with those of other existing algorithms to validate the accuracy and efficiency of the method proposed in this paper.