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In the low voltage power line carrier channel, the main reason of hindering the Low voltage power line carrier communication is the complicated characteristics of noises. Hence,to propose an accurate noise model has great significance to the power line communication system’s designing and optimizing.In order to get a more accurate noise model,an equivalent background noise and algorithm of power spectrum convergence is put forward.Through the solution of multiple sets of fitting parameters ,and the foundation of normalization theory and characteristics of noise,an accurate noise model is realized by the algorithm of power spectrum convergence. The availability of the algorithm of power spectrum convergence in the application of noise model is verified through the noise analysis of low voltage power line channels.