On Using Graph Signal Processing for Electrical Load Disaggregation

Subbareddy Batreddy, Kriti Kumar, M. Chandra
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Abstract

Graph Signal Processing (GSP) is an emerging field in data science and is being increasingly used for different applications in various domains like vision, biomedical and sensor networks, etc. GSP analyses and transforms signals defined on the vertices of a graph. In this paper, GSP is applied to the problem of source separation, in particular, electrical load disaggregation where, given smart meter measurements, it is required to estimate the contribution of different loads which could have resulted in those measurements. The proposed strategy based on GSP is formulated as a regularization on the graph whereby appropriately maximizing the smoothness of the underlying graph signal, electrical loads are disaggregated iteratively. The proposed optimization problem is solved in a greedy way and a closed-form solution is presented. Experimental results using publicly available REDD are presented to demonstrate the potential of the technique for disaggregating loads from low rate aggregate power measurements sampled at 1 minute and 15 minutes intervals.
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图信号处理在电力负荷分解中的应用
图信号处理(GSP)是数据科学中的一个新兴领域,在视觉、生物医学和传感器网络等各个领域的应用越来越广泛。GSP分析和变换在图的顶点上定义的信号。在本文中,GSP应用于源分离问题,特别是电力负载分解,其中,给定智能电表测量,需要估计可能导致这些测量的不同负载的贡献。所提出的基于GSP的策略被表述为对图的正则化,即适当地最大化底层图信号的平滑性,迭代分解电力负荷。该优化问题采用贪心方法求解,并给出了一个封闭解。使用公开可用的REDD的实验结果展示了该技术在以1分钟和15分钟间隔采样的低速率总功率测量中分解负载的潜力。
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