Skip to main content

Part of the book series: Power Systems ((POWSYS))

Abstract

This chapter presents a novel modeling and excitation control design to enhance large-disturbance voltage stability in power systems with significant induction motor (IM) loads. The excitation controller is designed using minimax linear quadratic Gaussian (LQG) controller synthesis method. The nonlinear power system model is reformulated with a linear and a nonlinear term. The nonlinear term is the Cauchy remainder in the Taylor series expansion and its bound is used in a robust control design. An advantage of this approach over the existing linearisation scheme is the treatment of the nonlinear dynamic load model in a rigorous framework for excitation control design. The performance of the designed controller is demonstrated by large disturbance simulations on a benchmark power system for various types of loads.

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 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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. Custem TV, Vournas CD (1998) Voltage stability of the electric power systems. Kluwer Academic, Norwell

    Google Scholar 

  2. Cutsem TV (February 2000) Voltage instability: phenomenon, countermeasures and analysis methods. Proc IEEE 88(2):208–227

    Google Scholar 

  3. Kundur P (1994) Power system stability and control. Mcgraw-Hill, New York

    Google Scholar 

  4. Taylor CW (1994) Power system voltage stability. McGraw-Hill, New York

    Google Scholar 

  5. Vu KT, Liu CC, Taylor CW, Jimma KM (1995) Voltage instability: mechanism and control strategies [power systems]. Proc IEEE 83(11):1442–1455

    Google Scholar 

  6. Roy NK, Pota HR, Mahmud MA, Hossain MJ (2013) Key factors affecting voltage oscillation of distribution networkswith distributed generation and inductionmotor loads. Int J Electr Power Energy Syst 53:515–528

    Google Scholar 

  7. Overbye TJ (1994) Effects of load modelling on analysis of power system voltage stability. IEEE Trans Power Syst 16(5):329–338

    Google Scholar 

  8. Li Y, Chiang HD, Choi BK, Chen YT, Lauby DHHMG (2008) Load models for modeling dynamic behaviors of reactive loads: evaluation and comparison. Int J Electr Power Energy Syst 30(9):497–503

    Article  Google Scholar 

  9. Cutsem TV, Vournas C (1998) Voltage stability of electric power systems. Kluwer Academic, Norwell

    Google Scholar 

  10. Hossain MJ, Pota HR, Ugrinovski V (2008) Short and long-term dynamic voltage instability. In: 17th IFAC world Congress, Seoul, Korea, pp 9392–9397

    Google Scholar 

  11. Hossain MJ, Pota HR, Ugrinovskii V, Ramos RA (2009) Excitation control for large disturbances in power systems with dynamic loads. In: IEEE power and energy society ceneral meeting, Calgary, Canada, pp 1–8

    Google Scholar 

  12. Williams BR, Schmus WR, Dawson DC (1992) Transmission voltage recovery delayed by stalled air conditioners compressors. IEEE Trans Power Syst 7(3):1173–1179

    Google Scholar 

  13. Mahmud MA, Hossain MJ, Pota HR (2012) Effects of large dynamic loads on power systems stability. Int J Electr Power Energy Syst 41(1):357–363

    Google Scholar 

  14. Leon JADD, Taylor CW (2002) Understanding and solving short term voltage stability problems. In: IEEE power engineering society summer meeting, Chicago, USA, pp 745–752

    Google Scholar 

  15. Hossain MJ, Pota HR, Ramos RA (2011) Excitation control for improving transient stability limit and voltage regulation including dynamic loads. In: 18th IFAC world congress, Milano, Italy, pp 4971–4976

    Google Scholar 

  16. Niioka S, Yokoyama R, Fujita G, Shirai G (2002) Decentralized exciter stabilizing control for multimachine power systems. Electr Eng Jpn 139(1):35–43

    Google Scholar 

  17. Sanchez-Gasca JJ, Vittal V, Gibbard MJ, Messina AR, Vowles DJ, Liu S, Annakkage UD (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 20(4):1886–1904

    Google Scholar 

  18. Martinez I, Messina A, Barocio E (2004) Perturbation analysis of power systems: effects of second- and third-order nonlinear terms on system dynamic behaviour. Electr Power Syst Res 71(2):159–167

    Google Scholar 

  19. Cao YJ, Jiang L, Cheng SJ, Chen DD, Malik OP, Hope GS (1994) A nonlinear variable structure stabilizer for power system stability. IEEE Trans Energy Convers 9(3):489–495

    Article  Google Scholar 

  20. Lu Q, Sun YZ, Mei S (2001) Nonlinear control systems and power system dynamics. Kluwer Academic Publishers, Boston

    Book  MATH  Google Scholar 

  21. Hossain MJ, Mahmud MA, Roy NK, Pota HR (2013) Enhancement of transient stability limit and voltage regulation with dynamic loads using robust excitation control. Int J Emerg Electr Power Syst (in press)

    Google Scholar 

  22. Hossain MJ, Pota HR, Ugrinovski V, Ramos RA (2010) Voltagemode stabilisation in power systems with dynamic loads. Int J Electr Power Energy Syst 32(8):911–920

    Google Scholar 

  23. Seo JC, Kim TH, Park JK, Moon SI (1996) An LQG based PSS design for controlling the SSR in power systems with series-compensated lines. IEEE Trans Energy Convers 11(2):423–428

    Google Scholar 

  24. Roy NK, Pota HR, Mahmud MA, Hossain MJ (2013) Voltage control of emerging distribution systems with induction motor loads using robust lqg approach. Int Trans Electr Energy Syst. doi:10.1002/etep.1739

  25. Anderson BD, Moore JB (1990) Optimal Control: linear quadratic methods. Prentice-Hall, New Jersey

    Google Scholar 

  26. Ray LR (1993) Stability robustness of uncertain LQG/LTR systems. IEEE Trans Autom Control 38(2):304–308

    Google Scholar 

  27. Kwang MS, Park JK (2000) On the robust LQG control of TCSC for damping power system oscillations. IEEE Trans Power Syst 15(4):1306–1312

    Google Scholar 

  28. Ferreira A, Barreiros JA , Barra W Jr, de Souza JRB (2007) A robust adaptive LQG/LTR TCSC controller applied to damp power system oscillations. Electric Power Syst Res 77(8):956–964

    Google Scholar 

  29. Dou CX, Zhang XZ, Guo SL, Mao CC (2010) Delay-independent excitation control for uncertain large power systems using wide-area measurement signals. Int J Electr Power Energy Syst 32(3):210–217

    Google Scholar 

  30. Mahmud MA, Pota HR, Aldeen M, Hossain MJ (2013) Partial feedback linearizing excitation controller for multimachine power systems to improve transient stability. IEEE Trans Power Syst. doi:10.1109/TPWRS.2013.2283867

  31. Mahmud MA, Pota HR, Hossain MJ (2012) Dynamic stability of three-phase grid-connected photovoltaic system using zero dynamic design approach. IEEE J Photovoltaics 12(4):564–571

    Google Scholar 

  32. Mielczarski W, Zajaczkowski AM (1994) Nonlinear field voltage control of a synchronous generator using feedback linearisation. Automatica 30(10):1625–1630

    Google Scholar 

  33. Ramos RA, Alberto LFC, Bretas NG (2003) Linear matrix inequality based controller design with feedback linearisation: application to power systems. IEEE Proc-Control Theory Appl 150(5):551–556

    Google Scholar 

  34. Chapman JW, Ilic MD, King CA (1993) Stabilizing a multi-machine power system via decentralized feedback linearizing excitation control. IEEE Trans Power Syst 8(3):830–838

    Google Scholar 

  35. Gan D, Qu Z, Cai H (2000) Multimachine power system excitation control design via theories of feedback linearisation control and nonlinear robust control. Int J Syst Sci 31(4):519–527

    Google Scholar 

  36. Guo Y, Hill DJ, Wang Y (1999) Robust decentralized excitation control of multimachine power systems. In: American control conference, San Diego, California, USA , pp 61–74

    Google Scholar 

  37. Xianrong C, Renzhou W, Yihan Y (1993) The nonlinear excitation control of generators. In: IEEE conference on computer, communication, control and power engineering

    Google Scholar 

  38. Concordia C (1951) Synchronous machines. Willey, New York

    Google Scholar 

  39. Demello FP, Concordia C (1969) Concepts of synchronous machine stability as affected by excitation control. IEEE Trans Power Apparatus Syst PAS-88(4):316–329

    Google Scholar 

  40. Wang Y, Guo G, Hill DJ (1997) Robust decentralized nonlinear controller design for multimachine power systems. Automatica 33(9):1725–1733

    Google Scholar 

  41. Lu YN (1983) Electric power system dynamics. Academic Press, London

    Google Scholar 

  42. Bergen AR (1986) Power system analysis. Prentice-Hall, New Jersey

    Google Scholar 

  43. Ugrinovskii VA, Petersen IR (2001) Minimax LQG control of stochastic partially observed uncertain systems. SIAM J Control Optim 40(4):1189–1226

    Google Scholar 

  44. Ugrinovskii VA, Petersen IR (1999) Finite horizon minimax optimal control of stochastic partially observed time varying uncertain systems. Mathe Control Signals Syst 12(1):1–23

    Article  MATH  MathSciNet  Google Scholar 

  45. Petersen IR, Ugrinovskii VA, Savkin AV (2000) Robust control design using \(H_{\infty }\) methods. Springer, London

    Book  MATH  Google Scholar 

  46. Hossain MJ, Pota HR, Ugrinovski V, Ramos RA (2009) Robust STATCOM control for the enhancement of fault ride-through capability of fixed-speed wind generators. In: IEEE multi-conference on systems and control. Saint Petersburg, Russia, pp 1505–1510

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jahangir Hossain .

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer Science+Business Media Singapore

About this chapter

Cite this chapter

Hossain, J., Pota, H.R. (2014). Control for Voltage Stability with Dynamic Loads. In: Robust Control for Grid Voltage Stability: High Penetration of Renewable Energy. Power Systems. Springer, Singapore. https://doi.org/10.1007/978-981-287-116-9_5

Download citation

  • DOI: https://doi.org/10.1007/978-981-287-116-9_5

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-287-115-2

  • Online ISBN: 978-981-287-116-9

  • eBook Packages: EnergyEnergy (R0)

Publish with us

Policies and ethics