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Wide-Area Measurement-Based Voltage Stability Assessment by Coupled Single-Port Models

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Wide Area Power Systems Stability, Protection, and Security

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Abstract

As the power system becomes more stressed and the penetration of intermittent renewable energies increase, voltage stability assessment (VSA) becomes a key concern for maintaining and enhancing the security of bulk power systems. Physically, the phenomenon of voltage instability is indeed caused by an uncontrollable drop in system voltage after being subjected to a disturbance. This deterioration may ultimately result in voltage collapse that has been responsible for several blackout incidents. So far, a vast number of methods ranging from simple static techniques to complex dynamic methods have been proposed for performing VSA. More recently, with wide deployment of synchronized phasor measurement units (PMUs), PMU-based wide area measurement system (WAMS) has attracted lots of interests from both academia and industry. In this chapter, recent developments of measurement-based coupled single-port models will be presented for VSA. Generally speaking, the concept of the coupled single-port model is to decouple a mesh power grid into several single-port local equivalent models with considering extra coupling impedances. By collecting real-time PMU measurements in each individual load bus, the reactive power response derived from the extended Ward-type equivalent model can be applied to eliminate the reactive power mismatch of the existing single-port model. Meanwhile, these parameters of the Thevenin equivalent circuit in the existing single-port model will be modified by a mitigation factor to improve the model accuracy of VSA. Since the proposed method is simple, several voltage stability indicators can be easily extended with slight modifications. Simulations are conducted on two test systems, including IEEE 57-bus and IEEE 118-bus test systems, to validate the accuracy of the proposed method.

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References

  1. IEEE/CIGRE Joint Task Force on Stability Terms and Definitions, Definition and classification of power system stabilit. IEEE Trans. Power Syst. 19(2), 1387–1401 (2004)

    Google Scholar 

  2. C.A. Canizares, F.L. Alvarado, C.L. DeMarco, I. Dobson, W.F. Long, Point of collapse methods applied to AC/DC power systems. IEEE Trans. Power Syst. 7(2), 673–683 (1992)

    Google Scholar 

  3. V. Ajjarapu, C. Christy, The continuation power flow: a tool for steady state voltage stability analysis. IEEE Trans. Power Syst. 7(1), 416–422 (1992)

    Google Scholar 

  4. H.D. Chiang, A.J. Flueck, K.S. Shah, N. Balu, CPFLOW: a practical tool for tracing power system steady-state stationary behaviour due to load and generation variation. IEEE Trans. Power Syst. 10(2), 623–633 (1995)

    Google Scholar 

  5. I. Dobson, Computing a closest bifurcation instability in multidimensional parameter space. J. Nonlinear Sci. 3(1), 307–327 (1993)

    Article  MathSciNet  Google Scholar 

  6. C.A. Canizares, Calculating optimal system parameters to maximize the distance to saddle-node bifurcations. IEEE Trans. Circuit Syst.-I Fundam. Theory Appl. 45(3), 225–237 (1998)

    Google Scholar 

  7. G.D. Irisarri, X. Wang, J. Tong, S. Mokhtari, Maximum loadability of power systems using interior point nonlinear optimization method. IEEE Trans. Power Syst. 12(1), 6162–6172 (1997)

    Google Scholar 

  8. G. Verbic, F. Gubina, A new concept of voltage-collapse protection based on local phasors. IEEE Trans. Power Deliv. 19(2), 567–581 (2004)

    Google Scholar 

  9. G. Verbic, F. Gubina, Fast voltage-collapse line-protection algorithm based on local phasors. IEEE Proc. Gener. Transm. Distrib. 150(4), 482–486 (2003)

    Google Scholar 

  10. M. Glavic T.V. Cutsem, A short survey of methods for voltage instability detection, Proceeding of the 2011 IEEE/PES Winter Meeting (2011), pp. 1–8

    Google Scholar 

  11. K. Vu, M.M. Bagovic, D. Novosel, M.M. Saha, Use of local measurements to estimate voltage stability margin. IEEE Trans. Power Syst. 14(3), 1029–1035 (1999)

    Google Scholar 

  12. M. Parniani, M. Vanouni, A fast local index for online estimation of closeness to load limit. IEEE Trans. Power Syst. 25(1), 584–585 (2010)

    Google Scholar 

  13. B. Venjatesh, A. Rost, L. Chang, Dynamic voltage collapse index-wind generation application. IEEE Trans. Power Deliv. 22(1), 90–94 (2007)

    Google Scholar 

  14. A. Wiszniewski, New criteria of voltage stability margin for the purposed of load shedding. IEEE Trans. Power Deliv. 22(3), 1367–1371 (2007)

    Google Scholar 

  15. K. Seethalekshimi, S.N. Singh, S.C. Srivastava, A synchrophasor assisted frequency and voltage stability based load shedding scheme. IEEE Trans. Smart Grid 2(2), 221–230 (2011)

    Google Scholar 

  16. Y.V. Makarov, P. Du, S. Lu, T.B. Nguyen, X. Guo, J.W. Burns, J.F. Gronquist, M.A. Pai, PMU-based wide-area security assessment: concept, method, and implementation. IEEE Trans. Smart Grid 3(3), 1325–1332 (2012)

    Google Scholar 

  17. C.W. Taylor, The future in on-line security assessment and wide-area stability control, Proceeding of the 2000 IEEE/PES Winter Meeting, vol. 1 (2000)

    Google Scholar 

  18. W. Li, Y. Wang, T. Chen, Investigation on the Thevenin equivalent parameters for online estimation of maximum power tansfer limits. IET Gener. Transm. 18(1), 121–127 (2010)

    Google Scholar 

  19. Y. Wang, I.R. Pordanjani, W. Li, W. Xu, E. Vaahedi, Strategy to minimise the load shedding amount for voltage collapse prevention. IET Gener. Transm. 5(3), 307–313 (2010)

    Google Scholar 

  20. Y. Wang, I.R. Pordanjani, W. Li, W. Xu, T. Chen, E. Vaahedi, J. Gurney, Voltage stability monitoring based on the concept of couple single-port circuit. IEEE Trans. Power Syst. 26(4), 2154–2163 (2011)

    Google Scholar 

  21. W. Xu, I. Pordanjani, Y. Wang, E. Vaahedi, A network decoupling transform for phasor data based voltage stability analysis and monitoring. IEEE Trans. Smart Grid 3(1), 261–270 (2012)

    Google Scholar 

  22. J.H. Liu, C.C. Chu, Wide-area measurement-based voltage stability indicators by modified coupled single-port models. IEEE Trans. Power Syst. 29(2), 756–764 (2013)

    Google Scholar 

  23. F.F. Wu, A. Monticelli, Critical review of external network modelling for online security analysis. Int. J. Electr. Energy Syst. 5(4), 222–235 (1983)

    Google Scholar 

  24. P.M. De Oliveira-De Jesus, E.D. Castronuovo, M.T. Ponce de Leao, Reactive power response of wind generators under an incremental network-loss allocation approach. IEEE Trans. Energy Convers. 23(2), 612–621 (2008)

    Google Scholar 

  25. P. Kessel, H. Glavitsch, Estimating the voltage stability of a power system. IEEE Trans. Power Deliv. 1(3), 346–352 (1986)

    Google Scholar 

  26. H. Jia, X. Yu, Y. Yu, An improved voltage stability index and its application. Int. J. Electr. Power Energy Syst. 27(8), 567–574 (2005)

    Google Scholar 

  27. T.L. Baldwin, L. Mili, M.B. Boisen, R. Adapa, Power system observability with minimal phasor measurement placement. IEEE Trans. Power Syst. 8(2), 707–715 (1993)

    Google Scholar 

  28. A. Monticelli, S. Deckmann, A. Garcia, B. Sccot, Real-time external equivalents for static security analysis. IEEE Trans. Power Appar. Syst. PAS-98(2), 498–503 (1979)

    Google Scholar 

  29. P. Kansal, A. Bose, Bandwidth and latency requirements for smart transmission grid applications. IEEE Trans. Smart Grid 3(3), 1344–1352 (2012)

    Google Scholar 

  30. B. Milosevic, M. Begovic, Voltage-stability protection and control using a wide-area network of phasor measurements. IEEE Trans. Power Syst. 18(1), 121–127 (2003)

    Google Scholar 

  31. D.J. Hill, Nonlinear dynamic load models with recovery for voltage stability studies. IEEE Trans. Power Syst. 8(1), 166–176 (1993)

    Google Scholar 

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Liu, JH., Su, HY., Chu, CC. (2021). Wide-Area Measurement-Based Voltage Stability Assessment by Coupled Single-Port Models. In: Haes Alhelou, H., Abdelaziz, A.Y., Siano, P. (eds) Wide Area Power Systems Stability, Protection, and Security. Power Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-54275-7_12

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  • DOI: https://doi.org/10.1007/978-3-030-54275-7_12

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