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Orthogonal frequency division multiplexing(OFDM) technique is widely attractive in low-voltage power-line high-rate communication area. Base on the analysis of properties of low-voltage power line channel, this paper propose a new LMS algorithm which could use in Low voltage power lines in communications. It adopts memory factor η to build a nonlinear function relationship between step factor μ and error sign e(n). Our proposed algorithm has higher convergence and tracking speed. In addition, it achieves smaller steady-state disorder. It is simulated in OFDM system in low-voltage power line, the results indicate that this algorithm is effective.