Optimal phasor measurement unit placement for numerical observability in the presence of conventional measurements using semi-definite programming

This study presents a new approach for optimal placement of synchronised phasor measurement units (PMUs) to ensure complete power system observability in the presence of non-synchronous conventional measurements and zero injections. Currently, financial or technical restrictions prohibit the deploym...

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Bibliographic Details
Published in:IET generation, transmission & distribution Vol. 9; no. 15; pp. 2427 - 2436
Main Authors: Korres, George N, Manousakis, Nikolaos M, Xygkis, Themistoklis C, Löfberg, Johan
Format: Journal Article
Language:English
Published: The Institution of Engineering and Technology 19.11.2015
Subjects:
binary integer linear programming
binary semidefinite programming model
BSDP model
Buses (vehicles)
integer programming
linear matrix inequalities
linear matrix inequality
linear programming
Mathematical analysis
Mathematical models
numerical analysis
OPP method
optimal PMU placement
Optimization
phasor measurement
Phasors
Placement
power system observability
power system state estimation
Programming
State estimation
synchronised phasor measurement units
integer programming
power system state estimation
OPP method
binary integer linear programming
linear programming
power system observability
linear matrix inequality
synchronised phasor measurement units
linear matrix inequalities
optimal PMU placement
BSDP model
numerical analysis
state estimation
binary semidefinite programming model
phasor measurement
ISSN:1751-8687, 1751-8695, 1751-8695
Online Access:Get full text
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Summary:This study presents a new approach for optimal placement of synchronised phasor measurement units (PMUs) to ensure complete power system observability in the presence of non-synchronous conventional measurements and zero injections. Currently, financial or technical restrictions prohibit the deployment of PMUs on every bus, which in turn motivates their strategic placement across the power system. PMU allocation is optimised here based on measurement observability criteria for achieving solvability of the power system state estimation. Most of the previous work has proposed topological observability based methods for optimal PMU placement (OPP), which may not always ensure numerical observability required for successful execution of state estimation. The proposed OPP method finds out the minimum number and the optimal locations of PMUs required to make the power system numerically observable. The problem is formulated as a binary semi-definite programming (BSDP) model, with binary decision variables, minimising a linear objective function subject to linear matrix inequality observability constraints. The BSDP problem is solved using an outer approximation scheme based on binary integer linear programming. The developed method is conducted on IEEE standard test systems. A large-scale system with 3120 buses is also analysed to exhibit the applicability of proposed model to practical power system cases.
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ISSN:1751-8687
1751-8695
1751-8695
DOI:10.1049/iet-gtd.2015.0662