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Measurement-Based Methods for Model Reduction of Power Systems Using Synchrophasors

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Power System Coherency and Model Reduction

Part of the book series: Power Electronics and Power Systems ((PEPS,volume 94))

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Abstract

Wide-area analysis and control of large-scale electric power systems are highly dependent on the idea of aggregation. For example, one often hears power system operators mentioning how “Northern Washington” oscillates against “Southern California” in response to various disturbance events. The main question here is whether we can analytically construct dynamic electromechanical models for these conceptual, aggregated generators representing Washington and California, which in reality are some hypothetical combinations of hundreds of actual generators. In this chapter we present an overview of several new results on how to construct such simplified interarea models of large power systems by using dynamic measurements available from phasor measurement units (PMUs) installed at limited points on the transmission lines. Our examples of study are motivated by widely encountered power transfer paths in the Western Electricity Coordinating Council (WECC), namely a two-area radial system representing the WA-MT flow, a star-connected three-area system resembling the Pacific AC Intertie, and a generic multi-area system with more than one dominant slow mode of oscillation.

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Notes

  1. 1.

    Northeast Power Coordinating Council.

  2. 2.

    New York Power Pool.

References

  1. A.G. Phadke, J.S. Thorp, M.G. Adamiak, New measurement techniques for tracking voltage phasors, local system frequency, and rate of change of frequency. IEEE Trans. Power Apparatus Syst. 102, 1025–1038 (1983)

    Article  Google Scholar 

  2. North American Synchrophasor Initiative (NASPI), www.naspi.org.

    Google Scholar 

  3. R.L. Cresap, J.F. Hauer, Emergence of a new swing mode in the western power system. IEEE Trans. Power Apparatus Syst. PAS–100(4), 2037–2045 (1981)

    Article  Google Scholar 

  4. J. Ballance, B. Bhargava, G.D. Rodriguez, Use of synchronized phasor measurement system for enhancing AC-DC power system transmission reliability and capability, EIPP Meeting, Sep 2004

    Google Scholar 

  5. J.H. Chow, G. Peponides, P.V. Kokotović, B. Avramović, J.R. Winkelman, Time-Scale Modeling of Dynamic Networks with Applications to Power Systems (Springer, New York, 1982)

    Book  MATH  Google Scholar 

  6. J.F. Hauer, C.J. Demeure, L.L. Scharf, Initial pesults in prony analysis of power system response signals. IEEE Trans. Power Syst. 5(1), 80–89 (1990)

    Article  Google Scholar 

  7. D.J. Trudnowski, J.W. Pierre, N. Zhou, J.F. Hauer, M. Parashar, Performance of three mode-meter block-processing algorithms for automated dynamic stability assessment. IEEE Trans. Power Syst. 23(2), 680–690 (2008)

    Article  Google Scholar 

  8. G. Ledwich, D. Geddy, P.O. Shea, Phasor Measurement Units for System Diagnosis and Load Identification in Australia, in Proceedings of IEEE PES General Meeting, Pittsburgh, PA, July 2008

    Google Scholar 

  9. D. Wilson, Oscillatory Mode Shape and Combined EMS/WAMS Data to Characterize and Locate Stability Issues, in NASPI Meeting, Charlotte, NC, Oct 2008

    Google Scholar 

  10. Q. Yang, T. Bi, J. Wu, WAMS Implementation in China and the Challenges for Bulk Power System Protection, in Proceedings of IEEE PES General Meeting, Tampa, FL, July 2007

    Google Scholar 

  11. J. Rasmussen, A.H. Nielsen, Phasor Measurement of Wind Power Plant Operation in Eastern Denmark, in European Offshore Wind Conference & Exibition, Berlin, Germany, 2007

    Google Scholar 

  12. A.J. Germond, R. Podmore, Dynamic aggregation of generating unit models. IEEE Trans. Power Apparatus Syst. PAS–97(4), 1060–1069 (1978). (July/Aug)

    Article  Google Scholar 

  13. R.W. de Mello, R. Podmore, K.N. Stanton, Coherency-Based Dynamic Equivalents: Applications in Transient Stability Studies, in Proceedings of PICA Conference, New Orleans, LA, June 1975, pp. 23–31

    Google Scholar 

  14. J.M. Undrill, A.E. Turner, Construction of power system electromechanical equivalents by modal analysis. IEEE Trans. Power Apparatus Syst. PAS–90, 2049–2059 (1971)

    Article  Google Scholar 

  15. J. Zaborszky, K.W. Whang, G. Huang, L.J. Chiang, S.Y. Lin, A clustered dynamic model for a class of linear autonomous system using simple enumerative sorting. IEEE Trans. Circuits Syst. CAS–29(11), 747–758 (1982). (Special Issue)

    Article  MathSciNet  Google Scholar 

  16. R. Nath, S.S. Lamba, K.S.P. Rao, Coherency based system decomposition into study and external areas using weak coupling. IEEE Trans. Power Apparatus Syst. PAS–104, 1443–1449 (1985)

    Article  Google Scholar 

  17. W.W. Price, G.E. Boukarim, J.H. Chow, R. Galarza, A.W. Hargrave, B.J. Hurysz, R. Tapia, Improved Dynamic Equivalencing Software, Final Report, EPRI Project RP2447-02, 1995

    Google Scholar 

  18. A.R. Bergen, V. Vittal, Power System Analysis, 2nd edn. (Prentice Hall, NJ, 1999)

    Google Scholar 

  19. J.J. Sanchez-Gasca, J.H. Chow, Performance comparison of three identification methods for the analysis of electromechanical oscillations. IEEE Trans. Power Syst. 14(3), 995–1002 (1999)

    Article  Google Scholar 

  20. A. Chakrabortty, Estimation, Analysis and Control Methods for Large-scale Electric Power Systems using Synchronized Phasor Measurements. Ph.D Dissertation, Rensselaer Polytechnic Institute, Troy, NY, 2008

    Google Scholar 

  21. J.H. Chow, A. Chakrabortty, M. Arcak, B. Bhargava, A. Salazar, Synchronized phasor data based energy function analysis of dominant power transfer paths in large power systems. IEEE Trans. Power Syst. 22(2), 727–734 (2007)

    Article  Google Scholar 

  22. T. McWhorter, L.L. Scharf, Cramer-Rao bounds for deterministic modal analysis. IEEE Trans. Signal Process. 41(5), 1847–1865 (1993)

    Article  MATH  Google Scholar 

  23. A. Chakrabortty, J.H. Chow, A. Salazar, A Measurement-based Framework for Dynamic Equivalencing of Large Power Systems using WAMS, in Proceedings of IEEE PES Conference on Innovative Smart Grid Technologies, Jan 2010

    Google Scholar 

  24. N.L. Biggs, E.K. Lloyd, R.J. Wilson, Graph Theory (Oxford University Press, Oxford, 1976)

    MATH  Google Scholar 

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Authors and Affiliations

  1. North Carolina State University, Raleigh, NC, USA

    Aranya Chakrabortty

  2. Rensselaer Polytechnic Institute, Troy, NY, USA

    J. Chow

Authors
  1. Aranya Chakrabortty
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  2. J. Chow
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Correspondence to Aranya Chakrabortty .

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Editors and Affiliations

  1. , Electrical, Comp. and Systems Eng. Dept., Rensselaer Polytechnic Institute, Heritage Parkway 58, Troy, 12302, New York, USA

    Joe H. Chow

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Chakrabortty, A., Chow, J. (2013). Measurement-Based Methods for Model Reduction of Power Systems Using Synchrophasors. In: Chow, J. (eds) Power System Coherency and Model Reduction. Power Electronics and Power Systems, vol 94. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-1803-0_8

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  • DOI: https://doi.org/10.1007/978-1-4614-1803-0_8

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  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4614-1802-3

  • Online ISBN: 978-1-4614-1803-0

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