179
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Order-reduction Strategy of Non-linear Differential-algebraic Equation Models with Application on Power Systems

&
Pages 1690-1707 | Received 16 Mar 2012, Accepted 25 Jul 2012, Published online: 09 Nov 2012

References

  • Hahn , J. and Edgar , T. F. 2002 . “Balancing approach to minimal realization and model reduction of stable nonlinear systems,” . Ind. Eng. Chem. Res. , Vol. 41 ( No. 9 ) : 2204 – 2212 .
  • Scherpen , J. and Fujimoto , K. “Nonlinear balanced realization based on singular value analysis of Hankel operators,” . Proceedings of the 42nd IEEE Conference on Decision & Control . Maui , HI . 9–12 December . pp. 6072 – 6077 .
  • Lin , W. Z. , Zhang , Y. J. and Li , E. P. 2008 . “Proper orthogonal decomposition in the generation of reduced order models for interconnects,” . IEEE Trans. Adv. Packag. , Vol. 31 ( No. 3 ) : 627 – 636 .
  • Kunisch , K. and Volkwein , S. 2008 . “Proper orthogonal decomposition for optimality systems,” . ESAIM Math. Model. Numer. Anal. , Vol. 42 : 1 – 23 .
  • Nilsson , O. and Rantzer , A. “A novel nonlinear model reduction method applied to automotive controller software,” . 2009 American Control Conference . St. Louis , MO . 10–12 June . pp. 4587 – 4592 .
  • Kazantzis , N. , Kravaris , C. and Syrou , L. 2010 . “A new reduction method for nonlinear dynamical systems,” . Nonlin. Dyn. , Vol. 59 : 183 – 194 .
  • Chowdhry , S. and Linninger , A. A. “Automatic structure analysis of large scale differential algebraic systems,” . IEEE Instrumentation and Measurement Technology Conference . Budapest , Hungary. 21–23 May .
  • Byrne , G. D. and Ponzi , P. R. 1998 . “Differential-algebraic systems, their application and solutions,” . Comput. Chem. Eng. , Vol. 12 ( No. 5 ) : 377 – 382 .
  • Sun , C. and Hahn , J. 2005 . “Reduction of stable differential-algebraic equation systems via projections and system identification,” . J. Process Control , Vol. 15 : 639 – 650 .
  • López Ríos , A. and Messina , A. R. 2011 . “An energy-based modal approximation method for reduced-order modeling analysis of power system models,” . Elect. Power Compon. Syst. , Vol. 39 : 1523 – 1541 .
  • Antoulas , A. C. 2005 . Approximation of Large-Scale Dynamical Systems, Advances in Design and Control , 7 – 8 . Philadelphia , PA : SIAM . Introduction/Chap. 1
  • Stewart , J. 2006 . Calculus: Concepts and Contexts, , 3rd ed. , 774 – 786 . Thompson Brooks/Cole . Chap. 11
  • Sanchez-Gasca , J. J. , Vittal , V. , Gibbard , M. J. , Messina , A. R. , Vowles , D. J. , Liu , S. and Annakkage , U. D. 2005 . “Inclusion of higher order terms for small-signal (modal) analysis: Committee report—task force on assessing the need to include higher order terms for small-signal (modal) analysis,” . IEEE Trans. Power Syst. , Vol. 22 ( No. 4 ) : 1886 – 1904 .
  • Messina , A. R. and Vittal , V. 2007 . “Extraction of dynamics pattern from wide area measurements using empirical orthogonal functions,” . IEEE Trans. Power Syst. , Vol. 22 ( No. 2 ) May : 682 – 692 .
  • Kerschen , G. , Galinval , J. C. , Vakakis , A. F. and Bergman , L. A. 2005 . “The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: An overview,” . Nonlin. Dynam. , Vol. 41 : 147 – 169 .
  • IEEE Stability Test Systems Task Force of the Dynamic System Performance Subcommittee . 1992 . “Transient stability test systems for direct stability methods,” . IEEE Trans. Power Syst. , Vol. 7 ( No. 1 ) February : 37 – 43 .
  • Cherry Tree Scientific Software . 1999 . Power System Toolbox Ver. 2.0: Dynamic Tutorial and Functions , Colborne, ON , , Canada : Cherry Tree Scientific Software .
  • Rogers , G. 2000 . Power System Oscillations , 107 Boston/London/Dordrecht : Kluwer Academic Publishers . Chap. 5

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.