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Advances in Energy and Power Systems pp 21–30Cite as

Model Order Reduction of Two Area Hydropower System Using Mixed Method

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 508))

Abstract

The complexity of power system models used for operation and control analysis has been increasing due to their operation in interconnected fashion. This paper presents a novel approach to develop reduced-order models of complex and large interconnected power system models by using mixed method of model order reduction technique. A state-space model of automatic generation control (AGC) system of a two-area interconnected power system model consisting of hydropower plants is developed. It is an original system of 11th order which is approximated to a reduced model of 3rd order. Validation of reduced-order model is done by comparing step response of original model with reduced-order model. The investigations of step responses show that the 3rd-order model is a good approximation of original model as far as its dynamic responses are concerned.

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References

  1. Davison, E.J.: A method of simplifying linear dynamic systems. IEEE Trans. Automat. Contr. AC-11, 93–101 (1966)

    Article  Google Scholar 

  2. Chidambara, M.R.: On a method for simplifying linear dynamic systems. IEEE Trans. Automat. Contr. 119–120 (1967)

    Article  Google Scholar 

  3. Davison, E.J.: A new method for simplifying large linear dynamic systems. IEEE Trans. Auto. Contr. 214–215 (1968)

    Article  Google Scholar 

  4. Aoki, M.: Control of large-scale dynamic systems by aggregation. IEEE Trans. Auto. Contr. AC 13(3), 246–253 (1968)

    Article  Google Scholar 

  5. Lamba, S.S., Vittal Rao, S.: Aggregation matrix for the reduced order continued fraction expansion model of Chen & Shieh. IEEE Trans. Auto. Contr. 23(1), 81–83 (1978)

    Article  Google Scholar 

  6. Ionescu, T.C., Astolfi, A.: Nonlinear moment matching-base model order reduction. IEEE Trans. Autom. Contr. 61(10), 2837–2847 (2016)

    Article  MathSciNet  Google Scholar 

  7. Bosley, M.J., Lees, F.P.: Methods for the reduction of high order state variable models to simple transfer functions. In: IFAC Symposium on Digital Simulation of Continuous Processes, Gyor (1971)

    Google Scholar 

  8. Shamash, Y.: Linear system reduction using Pade approximation to allow retention of dominant modes. Int. J. Contr. 21(2), 257–272 (1975)

    Article  Google Scholar 

  9. Bandyopadhyay, B., Ismail, O., Gorez, R.: Routh Pade approximation for interval systems. IEEE Trans. Auto. Contr. 39(12), 2454–2456 (1994)

    Article  MathSciNet  Google Scholar 

  10. Bandyopadhyay, B., Upadhye, A., Ismail, O.: γ–δ Routh approximation for interval systems. IEEE Trans. Auto. Contr. 42(8), 1127–1130 (1997)

    Article  MathSciNet  Google Scholar 

  11. Sastry, G.V.K.R., Raja Rao, G., Mallikarjuna Rao, P.: Large scale interval system modeling using Routh approximants. Electron. Lett. 36(8), 768–769 (2000)

    Article  Google Scholar 

  12. Enns, D.: Model reduction with balanced realizations: an error bound and a frequency weighted generalization. In: Proceedings of 23rd IEEE Conference Decision Control, Las Vegas, NV, pp. 127–132 (1984)

    Google Scholar 

  13. Wang, G., Sreeram, V., Liu, W.: A new frequency-weighted balanced truncation method and an error bound. IEEE Trans. Automat. Control 44(9), 1734–1737 (1999)

    Article  MathSciNet  Google Scholar 

  14. Moore, B.C.: Principal component analysis in linear systems: controllability, observability and model reduction. IEEE Trans. Auto. Contr. AC-26(1), 17–32 (1981)

    Article  MathSciNet  Google Scholar 

  15. Tang, Y., Prieur, C., Girard, A.: Singular perturbation approximation of linear hyperbolic systems of balance laws. IEEE Trans. Auto. Contr. 61(10), 3031–3037 (2016)

    Article  MathSciNet  Google Scholar 

  16. Jayant, P.: System reduction by a mixed method. IEEE Trans. Auto. Contr. AC 25(5), 973–976 (1980)

    Google Scholar 

  17. Chen, C.F., Shieh, L.S.: A novel approach to linear model simplification. Int. J. Contr. 8, 561–570 (1968)

    Article  Google Scholar 

  18. Krishnamurthi, V., Seshadri, V.: A simple and direct method for reducing order of linear systems using Routh approximations in the frequency domain. IEEE Trans. Auto. Contr., 797–799 (1976)

    Article  MathSciNet  Google Scholar 

  19. Kumar, P., Ibraheem.: Dynamic performance evaluation of 2-area interconnected power systems: a comparative study. J. Instit. Eng. (India) 78, 199–209 (1998)

    Google Scholar 

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Authors and Affiliations

  1. Inderprastha Engineering College, Ghaziabad, UP, India

    Sadaf Naqvi & Shilpa Gupta

  2. Qassim Engineering College, Qassim University, Buraydah, Saudi Arabia

    Ibraheem Nasiruddin

  3. IIIT, Delhi, India

    Sana Ali

Authors
  1. Sadaf Naqvi
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  2. Ibraheem Nasiruddin
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  3. Sana Ali
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  4. Shilpa Gupta
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Corresponding author

Correspondence to Sadaf Naqvi .

Editor information

Editors and Affiliations

  1. Madan Mohan Malaviya University of Technology, Gorakhpur, Uttar Pradesh, India

    Sri Niwas Singh

  2. Department of Electrical Engineering, Zhejiang University, Hangzhou, Zhejiang, China

    Fushuan Wen

  3. Department of Electrical and Electronics Engineering, I.T.S. Engineering College, Greater Noida, Uttar Pradesh, India

    Monika Jain

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Naqvi, S., Nasiruddin, I., Ali, S., Gupta, S. (2018). Model Order Reduction of Two Area Hydropower System Using Mixed Method. In: Singh, S., Wen, F., Jain, M. (eds) Advances in Energy and Power Systems. Lecture Notes in Electrical Engineering, vol 508. Springer, Singapore. https://doi.org/10.1007/978-981-13-0662-4_3

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  • DOI: https://doi.org/10.1007/978-981-13-0662-4_3

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-0661-7

  • Online ISBN: 978-981-13-0662-4

  • eBook Packages: EnergyEnergy (R0)

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