Optimal placement of phasor measurement unit in smart grids considering multiple constraints

The distribution of measurement noise is usually assumed to be Gaussian in the optimal phasor measurement unit (PMU) placement (OPP) problem. However, this is not always accurate in practice. This paper proposes a new OPP method for smart grids in which the effects of conventional measurements, limi...

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Main Authors: Chen, Tengpeng, Ren, He, Sun, Yuhao, Kraft, Markus, Amaratunga, Gehan A. J.
Other Authors: School of Chemical and Biomedical Engineering
Format: Article
Language:English
Published: 2023
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Online Access:https://hdl.handle.net/10356/169663
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-1696632023-12-29T06:49:07Z Optimal placement of phasor measurement unit in smart grids considering multiple constraints Chen, Tengpeng Ren, He Sun, Yuhao Kraft, Markus Amaratunga, Gehan A. J. School of Chemical and Biomedical Engineering Engineering::Chemical engineering Phasor Measurement Unit Smart Grids The distribution of measurement noise is usually assumed to be Gaussian in the optimal phasor measurement unit (PMU) placement (OPP) problem. However, this is not always accurate in practice. This paper proposes a new OPP method for smart grids in which the effects of conventional measurements, limited channels of PMUs, zero-injection buses (ZIBs), single PMU loss contingency, state estimation error (SEE), and the maximum SEE variance (MSEEV) are considered. The SEE and MSEEV are both obtained using a robust $t$-distribution maximum likelihood estimator (MLE) because $t$-distribution is more flexible for modeling both Gaussian and non-Gaussian noises. The A- and G-optimal experimental criteria are utilized to form the SEE and MSEEV constraints. This allows the optimization problem to be converted into a linear objective function subject to linear matrix inequality observability constraints. The performance of the proposed OPP method is verified by the simulations of the IEEE 14-bus, 30-bus, and 118-bus systems as well as the 188-bus practical distribution system in China. National Research Foundation (NRF) Published version This work was supported by the National Natural Science Foundation of Chi‐ na (No. 61903314), Basic Research Program of Science and Technology of Shenzhen, China (No. JCYJ20190809162807421), Natural Science Foundation of Fujian Province (No. 2019J05020), and National Research Foundation, Prime Minister’s Office, Singapore under its Campus for Research Excellence and Technological Enterprise (CREATE) programme. 2023-07-28T05:36:50Z 2023-07-28T05:36:50Z 2023 Journal Article Chen, T., Ren, H., Sun, Y., Kraft, M. & Amaratunga, G. A. J. (2023). Optimal placement of phasor measurement unit in smart grids considering multiple constraints. Journal of Modern Power Systems and Clean Energy, 11(2), 479-488. https://dx.doi.org/10.35833/MPCE.2022.000003 2196-5625 https://hdl.handle.net/10356/169663 10.35833/MPCE.2022.000003 2-s2.0-85151784907 2 11 479 488 en Journal of Modern Power Systems and Clean Energy © 2023 The Author(s). Published by IEEE. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/). application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Engineering::Chemical engineering
Phasor Measurement Unit
Smart Grids
spellingShingle Engineering::Chemical engineering
Phasor Measurement Unit
Smart Grids
Chen, Tengpeng
Ren, He
Sun, Yuhao
Kraft, Markus
Amaratunga, Gehan A. J.
Optimal placement of phasor measurement unit in smart grids considering multiple constraints
description The distribution of measurement noise is usually assumed to be Gaussian in the optimal phasor measurement unit (PMU) placement (OPP) problem. However, this is not always accurate in practice. This paper proposes a new OPP method for smart grids in which the effects of conventional measurements, limited channels of PMUs, zero-injection buses (ZIBs), single PMU loss contingency, state estimation error (SEE), and the maximum SEE variance (MSEEV) are considered. The SEE and MSEEV are both obtained using a robust $t$-distribution maximum likelihood estimator (MLE) because $t$-distribution is more flexible for modeling both Gaussian and non-Gaussian noises. The A- and G-optimal experimental criteria are utilized to form the SEE and MSEEV constraints. This allows the optimization problem to be converted into a linear objective function subject to linear matrix inequality observability constraints. The performance of the proposed OPP method is verified by the simulations of the IEEE 14-bus, 30-bus, and 118-bus systems as well as the 188-bus practical distribution system in China.
author2 School of Chemical and Biomedical Engineering
author_facet School of Chemical and Biomedical Engineering
Chen, Tengpeng
Ren, He
Sun, Yuhao
Kraft, Markus
Amaratunga, Gehan A. J.
format Article
author Chen, Tengpeng
Ren, He
Sun, Yuhao
Kraft, Markus
Amaratunga, Gehan A. J.
author_sort Chen, Tengpeng
title Optimal placement of phasor measurement unit in smart grids considering multiple constraints
title_short Optimal placement of phasor measurement unit in smart grids considering multiple constraints
title_full Optimal placement of phasor measurement unit in smart grids considering multiple constraints
title_fullStr Optimal placement of phasor measurement unit in smart grids considering multiple constraints
title_full_unstemmed Optimal placement of phasor measurement unit in smart grids considering multiple constraints
title_sort optimal placement of phasor measurement unit in smart grids considering multiple constraints
publishDate 2023
url https://hdl.handle.net/10356/169663
_version_ 1787136615836024832