A novel approach for phase identification in smart grids using Graph Theory and Principal Component Analysis

Consumers with low demand, like households, are generally supplied single-phase power by connecting their service mains to one of the phases of a distribution transformer. The distribution companies face the problem of keeping a record of consumer connectivity to a phase due to uninformed changes that happen. The exact phase connectivity information is important for the efficient operation and control of distribution system. We propose a new data driven approach to the problem based on Principal Component Analysis (PCA) and its Graph Theoretic interpretations, using energy measurements in equally timed short intervals, generated from smart meters. We propose an algorithm for inferring phase connectivity from noisy measurements. The algorithm is demonstrated using simulated data for phase connectivities in distribution networks.

[1]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[2]  B. Andrásfai Graph Theory: Flows, Matrices , 1991 .

[3]  Darren T. Andrews,et al.  Maximum likelihood principal component analysis , 1997 .

[4]  I. Jolliffe Principal Component Analysis , 2002 .

[5]  Robert P. Broadwater,et al.  Phase prediction in distribution systems , 2002, 2002 IEEE Power Engineering Society Winter Meeting. Conference Proceedings (Cat. No.02CH37309).

[6]  Vijay Arya,et al.  Phase identification in smart grids , 2011, 2011 IEEE International Conference on Smart Grid Communications (SmartGridComm).

[7]  C. S. Chen,et al.  Design of Phase Identification System to Support Three-Phase Loading Balance of Distribution Feeders , 2011, IEEE Transactions on Industry Applications.

[8]  Houman Pezeshki,et al.  Consumer phase identification in a three phase unbalanced LV distribution network , 2012, 2012 3rd IEEE PES Innovative Smart Grid Technologies Europe (ISGT Europe).

[9]  Zhiyu Shen,et al.  Three-phase AC system impedance measurement unit (IMU) using chirp signal injection , 2013, 2013 Twenty-Eighth Annual IEEE Applied Power Electronics Conference and Exposition (APEC).

[10]  Georgios B. Giannakis,et al.  Monitoring and Optimization for Power Grids: A Signal Processing Perspective , 2013, IEEE Signal Processing Magazine.

[11]  Tom A. Short,et al.  Advanced Metering for Phase Identification, Transformer Identification, and Secondary Modeling , 2013, IEEE Transactions on Smart Grid.

[12]  Kameshwar Poolla,et al.  Phase identification in distribution networks with micro-synchrophasors , 2015, 2015 IEEE Power & Energy Society General Meeting.

[13]  A. Rajeswaran,et al.  Network Topology Identification using PCA and its Graph Theoretic Interpretations , 2015 .

[14]  Shankar Narasimhan,et al.  A New Method for Reconstructing Network Topology from Flux Measurements , 2015, ArXiv.

[15]  Nirav Bhatt,et al.  Deconstructing principal component analysis using a data reconciliation perspective , 2015, Comput. Chem. Eng..

[16]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.