Optimal PMU placements under propagation depth constraints by mixed integer linear programming

Xian Chang Guo; Chung Shou Liao; Chia Chi Chu

doi:10.1109/SmartGridComm.2016.7778836

Optimal PMU placements under propagation depth constraints by mixed integer linear programming

Xian Chang Guo, Chung Shou Liao, Chia Chi Chu

National Tsing Hua University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

5 Scopus citations

Abstract

Unlike the traditional optimal PMU placement problems which are assumed that PMUs have unlimited capability of monitoring remote buses via propagation rules, we formulate this problem with considering the depth of observability propagation (DOP) in this paper. Two problem formulations described by mixed integer linear programming (MILP) are proposed. Under this framework, interactions between the next placed PMUs and earlier placed PMUs can be considered to be a set of inequality constraints. Effects such as zero injection buses (ZIBs), super zero injection buses (SZIBs), power measurement injections (PMIs), and line flow measurements (FMs) can also be accommodated. Both single stage placement and multi stage placement are studied with the consideration of the DOP. Simulation results on several IEEE test systems are provided to illustrate the effectiveness of these formulations.

Original language	English
Title of host publication	2016 IEEE International Conference on Smart Grid Communications, SmartGridComm 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	656-661
Number of pages	6
ISBN (Electronic)	9781509040759
DOIs	https://doi.org/10.1109/SmartGridComm.2016.7778836
State	Published - 08 12 2016
Externally published	Yes
Event	7th IEEE International Conference on Smart Grid Communications, SmartGridComm 2016 - Sydney, Australia Duration: 06 11 2016 → 09 11 2016

Publication series

Name	2016 IEEE International Conference on Smart Grid Communications, SmartGridComm 2016

Conference

Conference	7th IEEE International Conference on Smart Grid Communications, SmartGridComm 2016
Country/Territory	Australia
City	Sydney
Period	06/11/16 → 09/11/16

Bibliographical note

Publisher Copyright:
© 2016 IEEE.

Keywords

Mixed Integer Linear Programming (MILP)
Observability
Phasor Measurement Unit (PMU) Placement
Propagation Rules
Zero Injection Buses (ZIB)

Access to Document

10.1109/SmartGridComm.2016.7778836

Cite this

Guo, X. C., Liao, C. S., & Chu, C. C. (2016). Optimal PMU placements under propagation depth constraints by mixed integer linear programming. In 2016 IEEE International Conference on Smart Grid Communications, SmartGridComm 2016 (pp. 656-661). Article 7778836 (2016 IEEE International Conference on Smart Grid Communications, SmartGridComm 2016). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/SmartGridComm.2016.7778836

Guo, Xian Chang ; Liao, Chung Shou ; Chu, Chia Chi. / Optimal PMU placements under propagation depth constraints by mixed integer linear programming. 2016 IEEE International Conference on Smart Grid Communications, SmartGridComm 2016. Institute of Electrical and Electronics Engineers Inc., 2016. pp. 656-661 (2016 IEEE International Conference on Smart Grid Communications, SmartGridComm 2016).

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abstract = "Unlike the traditional optimal PMU placement problems which are assumed that PMUs have unlimited capability of monitoring remote buses via propagation rules, we formulate this problem with considering the depth of observability propagation (DOP) in this paper. Two problem formulations described by mixed integer linear programming (MILP) are proposed. Under this framework, interactions between the next placed PMUs and earlier placed PMUs can be considered to be a set of inequality constraints. Effects such as zero injection buses (ZIBs), super zero injection buses (SZIBs), power measurement injections (PMIs), and line flow measurements (FMs) can also be accommodated. Both single stage placement and multi stage placement are studied with the consideration of the DOP. Simulation results on several IEEE test systems are provided to illustrate the effectiveness of these formulations.",

keywords = "Mixed Integer Linear Programming (MILP), Observability, Phasor Measurement Unit (PMU) Placement, Propagation Rules, Zero Injection Buses (ZIB)",

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doi = "10.1109/SmartGridComm.2016.7778836",

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Guo, XC, Liao, CS & Chu, CC 2016, Optimal PMU placements under propagation depth constraints by mixed integer linear programming. in 2016 IEEE International Conference on Smart Grid Communications, SmartGridComm 2016., 7778836, 2016 IEEE International Conference on Smart Grid Communications, SmartGridComm 2016, Institute of Electrical and Electronics Engineers Inc., pp. 656-661, 7th IEEE International Conference on Smart Grid Communications, SmartGridComm 2016, Sydney, Australia, 06/11/16. https://doi.org/10.1109/SmartGridComm.2016.7778836

Optimal PMU placements under propagation depth constraints by mixed integer linear programming. / Guo, Xian Chang; Liao, Chung Shou; Chu, Chia Chi.
2016 IEEE International Conference on Smart Grid Communications, SmartGridComm 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 656-661 7778836 (2016 IEEE International Conference on Smart Grid Communications, SmartGridComm 2016).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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N2 - Unlike the traditional optimal PMU placement problems which are assumed that PMUs have unlimited capability of monitoring remote buses via propagation rules, we formulate this problem with considering the depth of observability propagation (DOP) in this paper. Two problem formulations described by mixed integer linear programming (MILP) are proposed. Under this framework, interactions between the next placed PMUs and earlier placed PMUs can be considered to be a set of inequality constraints. Effects such as zero injection buses (ZIBs), super zero injection buses (SZIBs), power measurement injections (PMIs), and line flow measurements (FMs) can also be accommodated. Both single stage placement and multi stage placement are studied with the consideration of the DOP. Simulation results on several IEEE test systems are provided to illustrate the effectiveness of these formulations.

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Guo XC, Liao CS, Chu CC. Optimal PMU placements under propagation depth constraints by mixed integer linear programming. In 2016 IEEE International Conference on Smart Grid Communications, SmartGridComm 2016. Institute of Electrical and Electronics Engineers Inc. 2016. p. 656-661. 7778836. (2016 IEEE International Conference on Smart Grid Communications, SmartGridComm 2016). doi: 10.1109/SmartGridComm.2016.7778836

Optimal PMU placements under propagation depth constraints by mixed integer linear programming

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