Skip to main content
SpringerLink
Log in

Fractional IMC-Based AGC for Interconnected Power System via Its Reduced Model Using Genetic Algorithm

  • Conference paper
  • First Online:
Soft Computing in Data Analytics

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 758))

  • 820 Accesses

Abstract

In this paper, fractional IMC-based decentralized load frequency control (LFC) for multi-area power system is studied. At first, for decentralized controller design, the tie line power flow between the areas is assumed to be zero. Then, the transfer function models of each area have been reduced to lower order factional transfer function using genetic algorithm through step error minimization method. Based on the obtained reduced model, the controller has been designed. At last, the controller is equipped with multi-area power system to test the performance using MATLAB. The simulation results show that the proposed controller can minimize the load fluctuations and modelling errors effect on frequency and tie line power flow.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
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. Kundur, P.: Power System Stability and Control. TMH 8th reprint, New Delhi (2009)

    Google Scholar 

  2. Elgerd, O.I.: Electric Energy Systems Theory. An Introduction. TMH, New Delhi (1983)

    Google Scholar 

  3. Manabe, S.: Early development of fractional order control. In: ASME 2003 International Design Engineering Technical Conferences and Computers Information in Engineering Conference. American Society of Mechanical Engineers, pp. 609–616 (2003)

    Google Scholar 

  4. Yu, W., Chen, Y., Luo, Y., Pi, Y.: Frequency domain modelling and control of fractional-order system for permanent magnet synchronous motor velocity servo system. IET Control Theory Appl. 10(2), 136–143 (2016)

    Article  MathSciNet  Google Scholar 

  5. Pan, I., Das, S.: Fractional Order AGC for distributed energy resources using robust optimization. IEEE Trans. Smart Grid 7(5), 2175–2186 (2016)

    Article  Google Scholar 

  6. Vrdoljak, K., Peri, N., Petrovi, I.: Sliding mode based load-frequency control in power systems. Electr. Power Syst. Res. 80(5), 514–527 (2010)

    Article  Google Scholar 

  7. Mi, Y., Fu, Y., Wang, C., Wang, P.: Decentralized sliding mode load frequency control for multi-area power systems. IEEE Trans. Power Syst. 28(4), 4301–4309 (2013)

    Article  Google Scholar 

  8. Chang, C., Fu, W.: Area load frequency control using fuzzy gain scheduling of pi controllers. Electr. Power Syst. Res. 42(2), 145–152 (1997)

    Article  Google Scholar 

  9. Pan, C.T., Liaw, C.M.: An adaptive controller for power system load-frequency control. IEEE Trans. Power Syst. 4(1), 122–128 (1989)

    Article  Google Scholar 

  10. Tan, W., Xu, Z.: Robust analysis and design of load frequency controller for power systems. Electr. Power Syst. Res. 79(5), 846–853 (2009)

    Article  Google Scholar 

  11. Tan, Wen: Unified tuning of PID load frequency controller for power systems via IMC. IEEE Trans. Power Syst. 25(1), 341–350 (2010)

    Article  Google Scholar 

  12. Tan, W.: Decentralized load frequency controller analysis and tuning for multi-area power systems. Energy Convers. Manag. 2015–2023 (2011)

    Google Scholar 

  13. Saxena, S., Hote, Y.V.: Load frequency control in power systems via internal model control scheme and model-order reduction. IEEE Trans. Power Syst. 28(3), 2749–2757 (2013)

    Article  Google Scholar 

  14. Hutton, B.F.M.: Routh approximations for reducing order of linear, time-invariant systems. IEEE Trans. Autom. Control 20, 329–337 (1975)

    Article  MathSciNet  Google Scholar 

  15. Saaki, I., Babu, C.K.R.P.C., Prasad, D.S.: Integral Square Error Minimization Technique for Linear Multi Input and Multi Output Systems, pp. 1–5 (2011)

    Google Scholar 

  16. Holland, J.: Adaptation in Natural and Artificial Systems: an Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence. University of Michigan Press (1975)

    Google Scholar 

  17. Ismail, M., Moghavvemi, M., Mahlia, T.: Genetic algorithm based optimization on modeling and design of hybrid renewable energy systems. Energy Convers. Manag. 85, 120–130 (2014)

    Article  Google Scholar 

  18. Morari, M., Zafiriou, E.: Robust Process Control. Prentice Hall (1989)

    Google Scholar 

  19. Nasir, A.W., Singh, A.K.: IMC based fractional order controller for non-minimum phase system. In: 2015 Annual IEEE India Conference (INDICON), Dec 2015, pp. 1–6 (2015)

    Google Scholar 

  20. Bettayeb, M., Mansouri, R.: Fractional IMC-PID-filter controllers design for non integer order systems. J. Process Control 24(4), 261–271 (2014)

    Article  Google Scholar 

  21. Kasireddy, I., Nasir A.W., Signh A.K.: IMC based controller design for automatic generation control of multi area power system via simplified decoupling. Int. J. Control. Autom. Syst. 16 (2018)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. EEE Department, NIT Jamshedpur, Jamshedpur, 831014, Jharkhand, India

    Idamakanti Kasireddy & Arun Kumar Singh

Authors
  1. Idamakanti Kasireddy
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Arun Kumar Singh
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Idamakanti Kasireddy .

Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Sri Sivani College of Engineering, Srikakulam, Andhra Pradesh, India

    Janmenjoy Nayak

  2. Machine Intelligence Research Labs (MIR Labs), Scientific Network for Innovation and Research Excellence, Washington, USA

    Ajith Abraham

  3. Department of Mechanical Engineering, Sri Sivani College of Engineering, Srikakulam, Andhra Pradesh, India

    B. Murali Krishna

  4. Department of Electrical and Electronics Engineering, Sri Sivani College of Engineering, Srikakulam, Andhra Pradesh, India

    G. T. Chandra Sekhar

  5. Department of Computer Science and Technology, Indian Institute of Engineering Science and Technology (IIEST), Shibpur, Howrah, West Bengal, India

    Asit Kumar Das

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Kasireddy, I., Singh, A.K. (2019). Fractional IMC-Based AGC for Interconnected Power System via Its Reduced Model Using Genetic Algorithm. In: Nayak, J., Abraham, A., Krishna, B., Chandra Sekhar, G., Das, A. (eds) Soft Computing in Data Analytics . Advances in Intelligent Systems and Computing, vol 758. Springer, Singapore. https://doi.org/10.1007/978-981-13-0514-6_23

Download citation

Publish with us

Policies and ethics

Search

Navigation