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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Bibliographic Details
Published in:IEEE transactions on instrumentation and measurement 2019-02, Vol.68 (2), p.421-429
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
Subjects:
Covariance matrix
Estimates
Estimators
Influence functions
Least absolute value (LAV)
Mathematical analysis
Measuring instruments
Observability
Observability (systems)
Optimization
phasor measurement unit (PMU)
Phasor measurement units
Phasors
Placement
Redundancy
robust estimation
Robustness
sensor placement
smart grid
State estimation
Variance
Voltage measurement
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Summary: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.
ISSN:0018-9456
1557-9662
DOI:10.1109/TIM.2018.2851838