Complex-Valued Projection Statistics for Hybrid Power System State Estimation

This paper develops a complex-valued Schweppe-type GM-estimator with the Huber cost function (known as SHGM estimator) that processes both phasor measurement units (PMUs) and supervisory control and data acquisition (SCADA) measurements. It is based on the projection statistics (PS) implemented in t...

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Bibliographic Details
Published inIEEE transactions on power systems Vol. 39; no. 4; pp. 6052 - 6062
Main Authors Resende, Eduardo M., Pires, Robson, Mili, Lamine
Format Journal Article
LanguageEnglish
Published New York IEEE 01.07.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Algorithms
complex-valued projection statistics
Cost function
Covariance matrices
Current measurement
Hybrid systems
Jacobi matrix method
Jacobian matrices
Jacobian matrix
Measuring instruments
Phasor measurement units
Phasors
Power system hybrid state estimation
Signal processing algorithms
State estimation
Supervisory control and data acquisition
Voltage measurement
Wirtinger calculus
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Summary:This paper develops a complex-valued Schweppe-type GM-estimator with the Huber cost function (known as SHGM estimator) that processes both phasor measurement units (PMUs) and supervisory control and data acquisition (SCADA) measurements. It is based on the projection statistics (PS) implemented in the complex domain. It is shown that the PS algorithm applied to a real- or a complex-valued Jacobian matrix provides different numerical results and thereby, different set of leverage points. Consequently, both approaches lead to different state estimates. It is demonstrated through simulations carried out on various test systems that the proposed estimator is more reliable and robust than its real-valued counterpart.
ISSN:0885-8950
1558-0679
DOI:10.1109/TPWRS.2023.3349016