Extraction and Analysis of Inter-area Oscillation Using Improved Multi-signal Matrix Pencil Algorithm Based on Data Reduction in Power System
-
Cheng Liu
,
Guowei Cai
Abstract
In this paper, a robust online approach based on wavelet transform and matrix pencil (WTMP) is proposed to extract the dominant oscillation mode and parameters (frequency, damping, and mode shape) of a power system from wide-area measurements. For accurate and robust extraction of parameters, WTMP is verified as an effective identification algorithm for output-only modal analysis. First, singular value decomposition (SVD) is used to reduce the covariance signals obtained by natural excitation technique. Second, the orders and range of the corresponding frequency are determined by SVD from positive power spectrum matrix. Finally, the modal parameters are extracted from each mode of reduced signals using the matrix pencil algorithm in different frequency ranges. Compared with the original algorithm, the advantage of the proposed method is that it reduces computation data size and can extract mode shape. The effectiveness of the scheme, which is used for accurate extraction of the dominant oscillation mode and its parameters, is thoroughly studied and verified using the response signal data generated from 4-generator 2-area and 16-generator 5-area test systems.
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: No.51377017
Funding statement: The authors gratefully acknowledge the support of National Natural Science Foundation of China (No.51377017).
References
1. Wang T, Wang Z, Yang Y. Modal estimation of low-frequency oscillation using perturbation sensitivity matrix with multiple parameters. Electr Power Compon Syst Jul 2014;42(12):1301–12.10.1080/15325008.2014.927027Search in Google Scholar
2. La Scala M, De Benedictis M, Bruno S, Grobovoy A. Development of applications in WAMS and WACS: an international cooperation experience, IEEE Power Engineering Society General Meeting, June 2006.10.1109/PES.2006.1709458Search in Google Scholar
3. Cai JY, Huang Z, Hauer J, Martin K. Current status and experience of WAMS implementation in North America, IEEE/PES Transmission and Distribution Conference and Exhibition, Aug 2005: 1–7.10.1109/TDC.2005.1546889Search in Google Scholar
4. Hauer JF, Demeure CJ, Scharf LL. Initial results in Prony analysis of power system response signal. IEEE Trans Power Syst 1990;5(1):80–9.10.1109/59.49090Search in Google Scholar
5. Trudnowski DJ, Pierre JW, Zhou N, Hauer JF, Parashar M. Performance of three mode-meter block-processing algorithms for automated dynamic stability assessment. IEEE Trans Power Syst May 2008;23(2):680–90.10.1109/PES.2008.4596221Search in Google Scholar
6. Ostojic DR. Spectral monitoring of power system dynamic performances. IEEE Trans Power Syst May 1993;8(2):445–51.10.1109/59.260841Search in Google Scholar
7. Avdakovica S, Nuhanovicb A, Kusljugic M. Wavelet transform applications in power system dynamics. Elect Power Syst Res 2012;78:237–45.10.1016/j.epsr.2010.11.031Search in Google Scholar
8. Messina AR, Vittal V. Nonlinear, non-stationary analysis of interarea oscillations via Hilbert spectral analysis. IEEE Trans Power Syst Aug 2006;21(3):1234–41.10.1109/TPWRS.2006.876656Search in Google Scholar
9. Laila DS, Messina AR, Pal BC. A refined Hilbert–Huang transform with applications to interarea oscillation monitoring. IEEE Trans Power Syst May 2009;24(2):610–20.10.1109/TPWRS.2009.2016478Search in Google Scholar
10. Messina AR, Vittal V. Extraction of dynamic patterns from wide-area measurements using empirical orthogonal functions. IEEE Trans Power Syst May 2007;22(2):682–92.10.1109/TPWRS.2007.895157Search in Google Scholar
11. Kamwa N, Pradhan AK, Joós G. Robust detection and analysis of power system oscillations using the Teager-Kaiser energy operator. IEEE Trans Power Syst Feb. 2011;26(1):323–33.10.1109/TPWRS.2010.2046503Search in Google Scholar
12. Ghasemi H, Cañizares C, Moshref A. Oscillatory stability limit prediction using stochastic subspace identification. IEEE Trans Power Syst May 2006;2(2):736–45.10.1109/TPWRS.2006.873100Search in Google Scholar
13. Turunen J, Thambirajah J, Mats L, Tuomas R. Comparison of three electromechanical oscillation damping estimation methods. IEEE Trans Power Syst July 2011;26(4):2398–407.10.1109/TPWRS.2011.2155684Search in Google Scholar
14. Task Force on Identification of Electromechanical Modes of the Power System Stability Subcommittee, of the Power System Dynamic Performance Committee. Identification of electromechanical modes in power systems, Special Publication TP462, ISBN 978-1-4799-1000-7, 2012.Search in Google Scholar
15. Reynders E, De Roeck G. Reference-based combined deterministic–stochastic subspace identification for experimental and operational modal analysis. Mech Syst Sig Process 2008;22:617–37.10.1007/1-4020-5370-3_757Search in Google Scholar
16. Kundur P. Power system stability and control. New York: McGraw-Hill Inc, 1993.Search in Google Scholar
17. James GH, Carne TG, Lauffer JP, The natural excitation technique (NExT) for modal parameter extraction from operating wind turbines, SAND92-1666, 1993.Search in Google Scholar
18. Guowen Z, Baoping T, Guangwu T. Sub-frequency band rapid modal identification using wavelet based on data reduction. J Vib Eng Feb 2012;25(1):49–54.Search in Google Scholar
19. Ying-Bo H, TK S. Matrix pencil method for estimating parameters of exponentially damped sinusoids in noise. IEEE Trans Acoust Speech Signal Process May 1990;38(5):814–24.10.1109/29.56027Search in Google Scholar
20. Sun K, Hur K, Zhang P. A new unified scheme for controlled power system separation using synchronized phasor measurements. IEEE Trans Power Syst Aug. 2011;26(3):1544–54.10.1109/TPWRS.2010.2099672Search in Google Scholar
21. Zhou EZ. Power oscillation flow study of electric power systems. Electr Power Energy Syst Apr.1995;17(2):143–50.10.1016/0142-0615(95)91411-CSearch in Google Scholar
22. Kay SM, Marple SL. Spectrum analysis - a modern perspective. Proc IEEE Nov. 1981;69(11):1380–419.10.1109/PROC.1981.12184Search in Google Scholar
23. Hauer JF. Application of Prony analysis to the determination of modal content and equivalent models for measured power system response. IEEE Trans Power Syst Aug. 1991;6(3):1062–8.10.1109/59.119247Search in Google Scholar
24. Rogers G. Power system oscillations. Norwell, MA: Kluwer, 2000.10.1007/978-1-4615-4561-3Search in Google Scholar
©2016 by De Gruyter
Articles in the same Issue
- Frontmatter
- Research Articles
- Control of Grid Connected Photovoltaic System Using Three-Level T-Type Inverter
- A New Method for Setting Calculation Sequence of Directional Relay Protection in Multi-Loop Networks
- Performance Analysis of SISFCL with the Variation of Circuit Parameters using Jiles Atherton Hysteresis Model
- Generation Expansion Planning with High Penetration of Wind Power
- Grid Integration of Single Stage Solar PV System using Three-level Voltage Source Converter
- Extraction and Analysis of Inter-area Oscillation Using Improved Multi-signal Matrix Pencil Algorithm Based on Data Reduction in Power System
- A New Control Method to Mitigate Power Fluctuations for Grid Integrated PV/Wind Hybrid Power System Using Ultracapacitors
- Comparative Analysis of Instruments Measuring Time Varying Harmonics
- Application of Energy Function as a Measure of Error in the Numerical Solution for Online Transient Stability Assessment
Articles in the same Issue
- Frontmatter
- Research Articles
- Control of Grid Connected Photovoltaic System Using Three-Level T-Type Inverter
- A New Method for Setting Calculation Sequence of Directional Relay Protection in Multi-Loop Networks
- Performance Analysis of SISFCL with the Variation of Circuit Parameters using Jiles Atherton Hysteresis Model
- Generation Expansion Planning with High Penetration of Wind Power
- Grid Integration of Single Stage Solar PV System using Three-level Voltage Source Converter
- Extraction and Analysis of Inter-area Oscillation Using Improved Multi-signal Matrix Pencil Algorithm Based on Data Reduction in Power System
- A New Control Method to Mitigate Power Fluctuations for Grid Integrated PV/Wind Hybrid Power System Using Ultracapacitors
- Comparative Analysis of Instruments Measuring Time Varying Harmonics
- Application of Energy Function as a Measure of Error in the Numerical Solution for Online Transient Stability Assessment
