An efficient DSE using conditional multivariate complex Gaussian distribution

Arefi, Ali, Ledwich, Gerard, & Behi, Behnaz (2015) An efficient DSE using conditional multivariate complex Gaussian distribution. IEEE Transactions on Smart Grid, 6(4), pp. 2147-2156.

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Abstract

This paper presents an efficient noniterative method for distribution state estimation using conditional multivariate complex Gaussian distribution (CMCGD). In the proposed method, the mean and standard deviation (SD) of the state variables is obtained in one step considering load uncertainties, measurement errors, and load correlations. In this method, first the bus voltages, branch currents, and injection currents are represented by MCGD using direct load flow and a linear transformation. Then, the mean and SD of bus voltages, or other states, are calculated using CMCGD and estimation of variance method. The mean and SD of pseudo measurements, as well as spatial correlations between pseudo measurements, are modeled based on the historical data for different levels of load duration curve. The proposed method can handle load uncertainties without using time-consuming approaches such as Monte Carlo. Simulation results of two case studies, six-bus, and a realistic 747-bus distribution network show the effectiveness of the proposed method in terms of speed, accuracy, and quality against the conventional approach.

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ID Code: 83838
Item Type: Journal Article
Refereed: Yes
Keywords: Conditional multivariate complex Gaussian distribution (CMCGD), Correlation, Distribution state estimation (DSE), Load uncertainty, Measure error
DOI: 10.1109/TSG.2014.2385871
ISSN: 1949-3053
Divisions: Current > Schools > School of Electrical Engineering & Computer Science
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Funding:
  • QLD GOVERNMENT/TSG-00527-2014
Copyright Owner: Copyright 2015 by IEEE
Copyright Statement: Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.
Deposited On: 03 May 2015 22:44
Last Modified: 03 Jul 2015 01:04

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