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Title: An Expectation-Maximization Method for Calibrating Synchronous Machine Models

Abstract

The accuracy of a power system dynamic model is essential to its secure and efficient operation. Lower confidence in model accuracy usually leads to conservative operation and lowers asset usage. To improve model accuracy, this paper proposes an expectation-maximization (EM) method to calibrate the synchronous machine model using phasor measurement unit (PMU) data. First, an extended Kalman filter (EKF) is applied to estimate the dynamic states using measurement data. Then, the parameters are calculated based on the estimated states using maximum likelihood estimation (MLE) method. The EM method iterates over the preceding two steps to improve estimation accuracy. The proposed EM method’s performance is evaluated using a single-machine infinite bus system and compared with a method where both state and parameters are estimated using an EKF method. Sensitivity studies of the parameter calibration using EM method are also presented to show the robustness of the proposed method for different levels of measurement noise and initial parameter uncertainty.

Authors:
; ; ;
Publication Date:
Research Org.:
Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1126356
Report Number(s):
PNNL-SA-92499
KJ0401000
DOE Contract Number:  
AC05-76RL01830
Resource Type:
Conference
Resource Relation:
Conference: IEEE Power & Energy Society General Meeting, July 21-25, 2013, Vancouver, BC, 1-5
Country of Publication:
United States
Language:
English
Subject:
Extended Kalman Filter; EM Algorithms; State Estimation; Parameter Calibration

Citation Formats

Meng, Da, Zhou, Ning, Lu, Shuai, and Lin, Guang. An Expectation-Maximization Method for Calibrating Synchronous Machine Models. United States: N. p., 2013. Web. doi:10.1109/PESMG.2013.6672950.
Meng, Da, Zhou, Ning, Lu, Shuai, & Lin, Guang. An Expectation-Maximization Method for Calibrating Synchronous Machine Models. United States. https://doi.org/10.1109/PESMG.2013.6672950
Meng, Da, Zhou, Ning, Lu, Shuai, and Lin, Guang. 2013. "An Expectation-Maximization Method for Calibrating Synchronous Machine Models". United States. https://doi.org/10.1109/PESMG.2013.6672950.
@article{osti_1126356,
title = {An Expectation-Maximization Method for Calibrating Synchronous Machine Models},
author = {Meng, Da and Zhou, Ning and Lu, Shuai and Lin, Guang},
abstractNote = {The accuracy of a power system dynamic model is essential to its secure and efficient operation. Lower confidence in model accuracy usually leads to conservative operation and lowers asset usage. To improve model accuracy, this paper proposes an expectation-maximization (EM) method to calibrate the synchronous machine model using phasor measurement unit (PMU) data. First, an extended Kalman filter (EKF) is applied to estimate the dynamic states using measurement data. Then, the parameters are calculated based on the estimated states using maximum likelihood estimation (MLE) method. The EM method iterates over the preceding two steps to improve estimation accuracy. The proposed EM method’s performance is evaluated using a single-machine infinite bus system and compared with a method where both state and parameters are estimated using an EKF method. Sensitivity studies of the parameter calibration using EM method are also presented to show the robustness of the proposed method for different levels of measurement noise and initial parameter uncertainty.},
doi = {10.1109/PESMG.2013.6672950},
url = {https://www.osti.gov/biblio/1126356}, journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Jul 21 00:00:00 EDT 2013},
month = {Sun Jul 21 00:00:00 EDT 2013}
}

Conference:
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