Journal of Electrical Engineering and Technology

  • 제4권2호
  • /
  • Pages.149-158
  • /
  • 2009
  • /
  • 1975-0102(pISSN)
  • /
  • 2093-7423(eISSN)
대한전기학회 (The Korean Institute of Electrical Engineers)
권호 표지
DOI QR코드

DOI QR Code

On the Local Identifiability of Load Model Parameters in Measurement-based Approach

  • 발행 : 2009.06.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

It is important to derive reliable parameter values in the measurement-based load model development of electric power systems. However parameter estimation tasks, in practice, often face the parameter identifiability issue; whether or not the model parameters can be estimated with a given input-output data set in reliable manner. This paper introduces concepts and practical definitions of the local identifiability of model parameters. A posteriori local identifiability is defined in the sense of nonlinear least squares. As numerical examples, local identifiability of third-order induction motor (IM) model and a Z-induction motor (Z-IM) model is studied. It is shown that parameter ill-conditioning can significantly affect on reliable parameter estimation task. Numerical studies show that local identifiability can be quite sensitive to input data and a given local solution. Finally, several countermeasures are proposed to overcome ill-conditioning problem in measurement-based load modeling.

키워드

참고문헌

  1. CrGRE Task Force 38.02.05, 'Load modeling and dynamics,' Electra, May 1990
  2. IEEE Task Force on Load Representation for Dynamic Performance, 'Load reprεsentation for dynamic performance analysis,' IEEE Trans. Powεr Syst., vol. 8, no. 2, pp. 472-482, May. 1993 https://doi.org/10.1109/59.260837
  3. IEEE Task Forcε on Load Representation for Dynamic Prformance, 'Bibliography on load models for power flow and dynamic performance simuLation,' IEEE Trans. Power Syst., vol. 10, no. 1, pp. 523-538, Feb. 1995 https://doi.org/10.1109/59.373979
  4. B.-K. Choi, H.-D. Chiang, Y.Li, H.Li, Y.-T. Chen, D.-H. Huang, M.G. Lauby, 'Measuremεnt-based dynamic load modεls: derivation, comparison, and validation,' IEEE Trans. Power Syst., vol. 21 , no. 3, pp. 1276-1283, Aug. 2006 https://doi.org/10.1109/TPWRS.2006.876700
  5. Y.Li, H.-D. Chiang, B.-K. Choi, Y.-T. Chεn， D.-H. Huang, and M.G. Lauby, 'Representative static load models for transient stability analysis: development and examination,' IET Gener. Transm. Distrib. vol. 136, no. 2, pp. 68-77, May. 2007
  6. He Renmu, Ma Jin, David J. Hill, 'Composite load modeling via mεasurεment approach,' IEEE Trans. Powεr Syst., vol. 21, no. 2, pp. 663-672, May 2006 https://doi.org/10.1109/TPWRS.2006.873130
  7. Valery Knyazkin, C1audio A. Canizares, Lennart H. Sodεr, 'On the parameter estimation and modeling of aggregate power system loads,' IEEE Trans. Power Syst., vol. 19, no. 2, pp. 1023-1031, May 2004 https://doi.org/10.1109/TPWRS.2003.821634
  8. L. 디ung, T. Glad, 'On global identifiability for arbitrary model parameterization,' Automatica, vol. 30, no.2, pp.265-276, 1994 https://doi.org/10.1016/0005-1098(94)90029-9
  9. S. Audoly, G. Bellu, L. D’Angio, M. P. Saccomani, and C. Cobelli, 'Global identifiability of nonlinear modεls of biological systems,' IEEE Trans. Biomed. Eng., vol. 48, no. 1, pp. 55-65, Jan. 2001 https://doi.org/10.1109/10.900248
  10. M. P. Saccomani, S. Audoly, L. D’Angio, 'Parameter identifiability of nonlinεar systems: the role of initial conditions,' Automatica, vol. 39, pp. 619-632, 2003 https://doi.org/10.1016/S0005-1098(02)00302-3
  11. S. Audo1y, L. D’Angio, M. P. Saccomani, C. Cobeli, 'Global idεntifiability of linear compartmental models,' IEEE Trans. Biomed. Eng., vol. 45, pp. 36-47, Jan. 1998 https://doi.org/10.1109/10.650350
  12. 1.A. Jacquεz, T. Peπy, 'Parameter estimation: Local identifiability of parameters,' Amer. J. Physiol., vol. 258, pp.E727-E736, 1990
  13. P. Ju, E. Handschin, 'Idεntifiability of load models', IEE Proc.-Gener. Transm. Distrib., Vol. 144, No. 1, pp. 45-49, January 1997 https://doi.org/10.1049/ip-gtd:19970621
  14. E. Walter (Editor), Identifiability of parametric model, Pergamon Press, Great Britain, 1987
  15. Eric Walter, Yvεs Lecourtiεr, and John Happel, 'On the structural output distinguishability of parametric models, and its relations with structureal identifiability,' IEEE Trans. Automat. Control, vol. AC-29, no. 1, pp. 56-57, Jan. 1984
  16. M. S. Grewal, K. Glover, 'Identifiability of linear and nonlinεar dynamical system,' IEEE Trans. Atutomat. Control, vol. 21 , pp. 833-837, Dec. 1976 https://doi.org/10.1109/TAC.1976.1101375
  17. J.A. Jacquez, P. Grewal, K. Glover, 'Identifiability of linear and nonlinear dynamical system,' IEEE Trans. Atutomat. Control, vol. 21, pp. 833-837, Dec. 1976 https://doi.org/10.1109/TAC.1976.1101375
  18. Ian A. Giskens, 'Identifiability of Hybrid System Models,' Proc. Of the 2000 IEEE Int. Conf. control Applications, Anchorage, Alaska, USA, Sep. 2000
  19. M. Burth, G. C. Verghese, and M. Velez-Reyes, 'Subset selection for improved parameter estimation in on-line identification of a synchronous generator,' IEEE Trans. On Power Systems, Vol. 14, No. 1, pp. 218-225, February 1999 https://doi.org/10.1109/59.744536
  20. P. Kundur, Power System Stability and Control, McGraw-Hill, Inc., 1994
  21. S. Ahmed-Zaid, M. Taleb, 'Structural Modeling of Small and Large Induction Machines Using Integral Manifolds', IEEE Transactions on Energy Conversion, vol. 6, no. 3, pp. 529 - 535, Sep. 1991 https://doi.org/10.1109/60.84331
  22. R. Fletcher, Practical Methods of Optimization, Second Edition, John Wiley & Sons, New York, 1987
  23. L.G. Dias, M.E. EI-Hawary, 'Nonlinear parameter estimation experiments for static load modeling in electric power systems,' IEE Proc. vol. 136, Pt. C, no. 2, pp. 68-77, Mar. 1998
  24. B.-K. Choi, H.-D. Chiang, 'Multiple local optimal solutions and plateau phenomenon in load model development: issues and suggestions,' IEEE Trans. Power Systems, vol. 24, no. 2, pp. 824-831, May 2009 https://doi.org/10.1109/TPWRS.2009.2016462

피인용 문헌

  1. A novel population balance model to investigate the kinetics of in vitro cell proliferation: Part II. numerical solution, parameters' determination, and model outcomes vol.109, pp.3, 2012, https://doi.org/10.1002/bit.24350
  2. New Islanding Detection Method for Inverter-Based Distributed Generation Considering Its Switching Frequency vol.46, pp.5, 2010, https://doi.org/10.1109/TIA.2010.2049727
  3. New Power Quality Index in a Distribution Power System by Using RMP Model vol.46, pp.3, 2010, https://doi.org/10.1109/TIA.2010.2045214
  4. On the Identifiability of Steady-State Induction Machine Models Using External Measurements vol.31, pp.1, 2016, https://doi.org/10.1109/TEC.2015.2460456