Optimum placement of phasor measurement units in power systems

In this paper, we proposed to evaluate the optimal phasor measurement unit (PMU) placement based on the sum of variance (SV) of the robust estimators. Variance is traditionally used as a measure of the quality of estimates. In this paper, after satisfying the requirements of the minimum number of PM...

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Main Authors: Sun, Lu, Chen, Tengpeng, Chen, Xuebing, Ho, Weng Khuen, Ling, Keck-Voon, Tseng, King-Jet, Amaratunga, Gehan A. J.
Format: Article
Language:English
Published: 2018
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Online Access:https://hdl.handle.net/10356/87215
http://hdl.handle.net/10220/45242
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-872152020-03-07T13:57:27Z Optimum placement of phasor measurement units in power systems Sun, Lu Chen, Tengpeng Chen, Xuebing Ho, Weng Khuen Ling, Keck-Voon Tseng, King-Jet Amaratunga, Gehan A. J. Smart Grid Phasor Measurement Unit In this paper, we proposed to evaluate the optimal phasor measurement unit (PMU) placement based on the sum of variance (SV) of the robust estimators. Variance is traditionally used as a measure of the quality of estimates. In this paper, after satisfying the requirements of the minimum number of PMUs, maximum measurement redundancy, and observability, the placements obtained are further distinguished on the basis of the variance of the estimated states. Both the weighted least squares (WLS) and robust estimators are considered. Examples on the IEEE 30-bus system using least absolute value (LAV) estimation are given. The covariance of the state estimates from the WLS can be calculated using the existing formulas. However, there is no equivalent formula for the robust LAV estimator. A formula is derived in this paper using influence function to approximately calculate the covariance matrix of the state estimates from the robust LAV estimator. The optimum placement, i.e., the placement with the smallest SV, can be selected. NRF (Natl Research Foundation, S’pore) Accepted version 2018-07-26T03:19:23Z 2019-12-06T16:37:23Z 2018-07-26T03:19:23Z 2019-12-06T16:37:23Z 2018 Journal Article Sun, L., Chen, T., Chen, X., Ho, W. K., Ling, K. V., Tseng, K. J., et al. (2018). Optimum Placement of Phasor Measurement Units in Power Systems. IEEE Transactions on Instrumentation and Measurement, In press. 0018-9456 https://hdl.handle.net/10356/87215 http://hdl.handle.net/10220/45242 10.1109/TIM.2018.2851838 en IEEE Transactions on Instrumentation and Measurement © 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, 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 component of this work in other works. The published version is available at: [http://dx.doi.org/10.1109/TIM.2018.2851838]. 8 p. application/pdf
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic Smart Grid
Phasor Measurement Unit
spellingShingle Smart Grid
Phasor Measurement Unit
Sun, Lu
Chen, Tengpeng
Chen, Xuebing
Ho, Weng Khuen
Ling, Keck-Voon
Tseng, King-Jet
Amaratunga, Gehan A. J.
Optimum placement of phasor measurement units in power systems
description In this paper, we proposed to evaluate the optimal phasor measurement unit (PMU) placement based on the sum of variance (SV) of the robust estimators. Variance is traditionally used as a measure of the quality of estimates. In this paper, after satisfying the requirements of the minimum number of PMUs, maximum measurement redundancy, and observability, the placements obtained are further distinguished on the basis of the variance of the estimated states. Both the weighted least squares (WLS) and robust estimators are considered. Examples on the IEEE 30-bus system using least absolute value (LAV) estimation are given. The covariance of the state estimates from the WLS can be calculated using the existing formulas. However, there is no equivalent formula for the robust LAV estimator. A formula is derived in this paper using influence function to approximately calculate the covariance matrix of the state estimates from the robust LAV estimator. The optimum placement, i.e., the placement with the smallest SV, can be selected.
format Article
author Sun, Lu
Chen, Tengpeng
Chen, Xuebing
Ho, Weng Khuen
Ling, Keck-Voon
Tseng, King-Jet
Amaratunga, Gehan A. J.
author_facet Sun, Lu
Chen, Tengpeng
Chen, Xuebing
Ho, Weng Khuen
Ling, Keck-Voon
Tseng, King-Jet
Amaratunga, Gehan A. J.
author_sort Sun, Lu
title Optimum placement of phasor measurement units in power systems
title_short Optimum placement of phasor measurement units in power systems
title_full Optimum placement of phasor measurement units in power systems
title_fullStr Optimum placement of phasor measurement units in power systems
title_full_unstemmed Optimum placement of phasor measurement units in power systems
title_sort optimum placement of phasor measurement units in power systems
publishDate 2018
url https://hdl.handle.net/10356/87215
http://hdl.handle.net/10220/45242
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