Skip to main content

Evaluation of Model Order Reduction Algorithms for Unstable High-Order System Applied to Large Power System

  • Conference paper
  • First Online:
Advances in Engineering Research and Application (ICERA 2022)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 602))

Included in the following conference series:

  • 702 Accesses

Abstract

This paper presents and evaluates the method of order of large-scale unstable power systems using Modal truncation (MT), Balanced truncation (BT), Positive-real balanced truncation (PRBT), Balanced stochastic truncation (BST) and Linear-quadratic Gaussian balanced truncation (LQGBT). The results show that the LQGBT and BT algorithm has the smallest order reduction error. The MT method has the largest order of decreasing error. The BST algorithm gives the best time domain response. The PRBT method preserves the passivity of the original system. The simulation results show the advantages and disadvantages and the application range of step reduction methods.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 219.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 279.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Benner, P., Quintana-Orti, E.S.: Model reduction based on spectral projection methods. In: Benner, P., Mehrmann, V., Sorensen, D. (eds.) Dimension Reduction of Large-Scale Systems, Vol. 45 of Lecture Notes in Computational Science and Engineering, pp. 5-45. Springer, Berlin/Heidelberg, Germany (2005)

    Google Scholar 

  2. Zhang, S., Duan, B., Du, J., Zhang, Y.: Model reduction of cable mesh reflector antennas with integrated structural-electromagnetic criterion. IEEE/ASME Trans. Mechatron. 23(2), 927–935 (2018)

    Article  Google Scholar 

  3. Morlock, M., Meyer, N., Pick, M., Seifried, R.: Modeling and trajectory tracking control of a new parallel flexible link robot. In: IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS) (2018)

    Google Scholar 

  4. Odhekar, A.A., Deshmukh, A.A.: Coplanar waveguide fed broadband circularly polarized corner truncated slot antenna. In: 2021 4th Biennial International Conference on Nascent Technologies in Engineering (ICNTE), pp. 1–6 (2021)

    Google Scholar 

  5. Safonov, M.G., Chiang, R.Y.: A Schur method for balanced model reduction. IEEE Trans. Automat. Contr. 34(7), 729–733 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  6. Zjajo, A., van der Meijs, N., van Leuken, R.:Balanced stochastic truncation of coupled 3D interconnect. Proceedings of 2013 International Conference on IC Design and Technology (ICICDT), , pp. 13–16 (2013)

    Google Scholar 

  7. Du, Y., Lu, X., Zhao, D.: Model reduction for inverter-dominated networked microgrids with grid-forming inverters. In: IECON 2021—47th Annual Conference of the IEEE Industrial Electronics Society, pp. 1–6 (2021)

    Google Scholar 

  8. Grussler, C., Damm, T., Sepulchre, R.: Balanced truncation of k-positive systems. IEEE Trans. Autom. Control 67(1), 526–531 (2022)

    Article  MathSciNet  MATH  Google Scholar 

  9. Salehi, Z., Karimaghaee, P., Khooban, M.-H.: A new passivity preserving model order reduction method: conic positive real balanced truncation method. IEEE Trans. Syst. Man Cybern. Syst. 52(5), 2945–2953 (2022)

    Article  Google Scholar 

  10. Axelou, O., Floros, G., Evmorfopoulos, N., Stamoulis, G.: Accelerating electromigration stress analysis using low-rank balanced truncation. In: 18th International Conference on Synthesis, Modeling, Analysis and Simulation Methods and Applications to Circuit Design (SMACD), pp. 1–4 (2022)

    Google Scholar 

  11. Gugercin, S., Antoulas, A.C.: A survey of model reduction by balanced truncation and some new results. Internat. J. Control 77(8), 748–766 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  12. Zhou, K.: Frequency-weighted model reduction with L∞ error bounds. Syst. Contr. Lett. 21, 115–125 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  13. Benner, P., Stykel, T. (2017). Model order reduction for differential-algebraic equations: a survey

    Google Scholar 

  14. Rommes, J., Martins, N.: Efficient computation of transfer function dominant poles using subspace acceleration. IEEE Trans. Power Syst. 21(3), 1218–1226 (2006)

    Article  Google Scholar 

Download references

Acknowledgments

This research is funded by Thai Nguyen University of Technology (TNUT).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Huy-Du Dao .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Nguyen, TT., Dao, HD., Vu, NK., Hoang, VT., Thi, TB.N. (2023). Evaluation of Model Order Reduction Algorithms for Unstable High-Order System Applied to Large Power System. In: Nguyen, D.C., Vu, N.P., Long, B.T., Puta, H., Sattler, KU. (eds) Advances in Engineering Research and Application. ICERA 2022. Lecture Notes in Networks and Systems, vol 602. Springer, Cham. https://doi.org/10.1007/978-3-031-22200-9_58

Download citation

  • DOI: https://doi.org/10.1007/978-3-031-22200-9_58

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-22199-6

  • Online ISBN: 978-3-031-22200-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics