Skip to Main Content
 

Global Search Box

 
 
 
 

Files

File List


Final dissertationOhioLinksubmitted.pdf (3.99 MB)

ETD Abstract Container

Abstract Header

FORWARD AND BACKWARD EXTENDED PRONY (FBEP) METHOD WITH APPLICATIONS TO POWER SYSTEM SMALL-SIGNAL STABILITY

Zhao, Shuang
http://orcid.org/0000-0003-3710-9723
http://rave.ohiolink.edu/etdc/view?acc_num=case1480948469362031

Abstract Details

2017, Doctor of Philosophy, Case Western Reserve University, EECS - System and Control Engineering.
We introduce the “Forward and Backward Extended Prony” (FBEP) method that identifies the parameters of complex exponential signals using a new strategy for finding true pole locations. The performance of the proposed method is investigated theoretically using statistical analysis and experimentally by simulation. Initial validation is accomplished using time series data without additive noise and with the help of singular value decomposition (SVD), the advantages of this method in accurately identifying both growing and decaying modes in moderate noise is then demonstrated by adding noise to the time series data with different signal-to-noise ratios (SNRs). The FBEP method is compared with the TLS-Prony method and the subspace-based methods by illustrating the Mean Squared Errors (MSEs) of the frequency and damping factor estimates given by each method with comparisons to the corresponding Cramer-Rao (CR) bounds. The computational time of FBEP and the subspace-based methods is compared. The performance of the FBEP method using the pseudoinverse and Total Least Squares (TLS) approaches below the threshold SNR is also studied. The FBEP method can be applied in cases where the poles of some modes are known a priori in complex exponential signals. The FBEP method is applied to power system small-signal stability analysis. Its effectiveness in identifying system eigenvalues from the output signal is validated by experiments on a test system model. Using a four-machine-two-area power system model the identification of the dominant modes contained in oscillatory signals given by the FBEP method is compared with that given by the SVD-TLS method, the Prony-SR method and Trudnowski’s algorithm at different SNR levels. The computational cost of the FBEP method, the Prony-SR method, and Trudnowski’s algorithm is evaluated. The results from multi-signal analysis and sliding window analysis using the FBEP method are also presented.
Kenneth Loparo (Committee Chair)
Vira Chankong (Committee Member)
Marc Buchner (Committee Member)
Richard Kolacinski (Committee Member)
Mingguo Hong (Committee Member)
105 p.
Engineering
Prony; Forward linear prediction; Backward linear prediction; Complex exponentials; Power system; Low-frequency oscillation; Eigenvalue;

Recommended Citations

Citations

  • Zhao, S. (2017). FORWARD AND BACKWARD EXTENDED PRONY (FBEP) METHOD WITH APPLICATIONS TO POWER SYSTEM SMALL-SIGNAL STABILITY [Doctoral dissertation, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1480948469362031

    APA Style (7th edition)

  • Zhao, Shuang. FORWARD AND BACKWARD EXTENDED PRONY (FBEP) METHOD WITH APPLICATIONS TO POWER SYSTEM SMALL-SIGNAL STABILITY. 2017. Case Western Reserve University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1480948469362031.

    MLA Style (8th edition)

  • Zhao, Shuang. "FORWARD AND BACKWARD EXTENDED PRONY (FBEP) METHOD WITH APPLICATIONS TO POWER SYSTEM SMALL-SIGNAL STABILITY." Doctoral dissertation, Case Western Reserve University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=case1480948469362031

    Chicago Manual of Style (17th edition)

case1480948469362031
640
© 2017, all rights reserved.
This open access ETD is published by Case Western Reserve University School of Graduate Studies and OhioLINK.