Contingency constrained phasor measurement units placement with n − k redundancy criterion: a robust optimisation approach

This study presents a novel approach for the contingency constrained phasor measurement units (PMUs) placement. The proposed approach is based on n − k redundancy criterion using robust optimisation. This security criterion ensures observability of the network under any contingency state, containing...

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Veröffentlicht in:IET science, measurement & technology Jg. 12; H. 2; S. 151 - 160
Hauptverfasser: Nikkhah, Saeid, Aghaei, Jamshid, Safarinejadian, Behrooz, Norouzi, Mohammad-Ali
Format: Journal Article
Sprache:Englisch
Veröffentlicht: The Institution of Engineering and Technology 01.03.2018
Schlagworte:
bilevel programming model
branch outage
contingency constrained phasor measurement unit placement
equivalent single‐level mixed‐integer programming problem
flow measurement
integer programming
linearisation process
linearisation techniques
load flow
modified 118‐bus IEEE test network
modified 2383‐bus IEEE test network
modified 7‐bus test network
nonlinear modelling
nonlinear programming
n‐k redundancy criterion
observability function
optimisation approach
phasor measurement
PMU
power flow measurement
power measurement
power system security
redundancy
Research Article
security criterion
zero injection effect
modified 7-bus test network
nonlinear programming
integer programming
equivalent single-level mixed-integer programming problem
contingency constrained phasor measurement unit placement
n-k redundancy criterion
linearisation process
modified 118-bus IEEE test network
redundancy
bilevel programming model
flow measurement
linearisation techniques
optimisation approach
security criterion
power flow measurement
branch outage
power measurement
modified 2383-bus IEEE test network
power system security
nonlinear modelling
PMU
observability function
phasor measurement
load flow
zero injection effect
ISSN:1751-8822, 1751-8830
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:This study presents a novel approach for the contingency constrained phasor measurement units (PMUs) placement. The proposed approach is based on n − k redundancy criterion using robust optimisation. This security criterion ensures observability of the network under any contingency state, containing the loss of up to k PMUs. In the proposed method, the effects of zero injection and power flow measurements as well as possible contingency states (such as branch outage and single or multiple PMU loss) are considered. The non-linear modelling of observability function for measurements is reformulated by linearisation process. The resulting bi-level programming model is solved by its evolution to an equivalent single-level mixed-integer programming problem. The objective function of the optimal PMU placement is aimed at minimising the number of PMUs in a way that guarantees economic goals and the observability of all network buses. The advantage of this model is to significantly reduce the computational burden compared with other methods. The proposed method is tested on modified 7-bus test network, 118- and 2383-bus IEEE test networks. The results of the case studies clearly demonstrate the simplicity and efficiency of the proposed robust optimisation method in different cases.
ISSN:1751-8822
1751-8830
DOI:10.1049/iet-smt.2017.0158