Skip to main content

Parameter Estimation of Vertical Two-Layer Soil Model via Brain Storm Optimization Algorithm

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9712))

Abstract

A practical soil model is derived mathematically based on the measurement principles of Wenner’s method. The Wenner’s method is a conventional approach to measuring the apparent soil resistivity. This soil model constitutes two-soil layer with different properties vertically. Thus this model is called the vertical two-layer soil model. The motivation for the mathematical model is to estimate relevant parameters accurately from the data obtained from site measurements. This parameter estimation is in fact a challenging optimization problem. From the plotted graphs, this problem features a continuous but non-smooth landscape with a steep alley. This poses a great challenge to any optimization tool. Two prominent algorithms are applied, namely Gauss-Newton (GN) and Brain Storm Optimization (BSO). Results obtained conclude that the GN is fast but diverges due to bad starting points. On the contrary, the BSO is slow but it never diverges and is more stable.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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

Learn about institutional subscriptions

References

  1. Slaoui, F.H., Erchiqui, F.: Evaluation of grounding resistance and inversion method to estimate soil electrical grounding parameters. Int. J. Multiphys. 4(3), 201–215 (2010)

    Article  Google Scholar 

  2. Berberovic, S., Haznadar, Z., Stih, Z.: Method of moments in analysis of grounding systems. Eng. Anal. Boundary Elem. 27(4), 351–360 (2003)

    Article  MATH  Google Scholar 

  3. Yamamoto, K., Yanagawa, S., Yamabuki, K., Sekioka, S., Yokoyama, S.: Analytical surveys of transient and frequency-dependent grounding characteristics of a wind turbine generator system on the basis of field tests. IEEE Trans. Power Delivery 25(4), 3035–3043 (2010)

    Article  Google Scholar 

  4. Althoefer, K., Tan, C.P., Zweiri, Y.H., Seneviratne, L.D.: Hybrid soil parameter measurement and estimation scheme for excavation automation. IEEE Trans. Instrum. Meas. 58(10), 3633–3641 (2009)

    Article  Google Scholar 

  5. Calixto, W.P., Neto, L.M., Wu, M., Yamanaka, K., da Paz Moreira, E., Moreira, E.P.: Parameters estimation of a horizontal multilayer soil using genetic algorithm. IEEE Trans. Power Delivery 25(3), 1250–1257 (2010)

    Article  Google Scholar 

  6. Lagace, P.J., Hoa, M.V., Lefebvre, M., Fortin, J.: Multilayer resistivity interpretation and error estimation using electrostatic images. IEEE Trans. Power Delivery 21(4), 1954–1960 (2006)

    Article  Google Scholar 

  7. Woodhouse, D.J., Middleton, R.H.: Consistency in ground potential rise estimation utilizing fall of potential method data. IEEE Trans. Power Delivery 20(2), 1226–1234 (2005)

    Article  Google Scholar 

  8. Rancic, P.D., Stajic, Z.P., Tosic, B.S., Djordjevic, D.R.: Analysis of linear ground electrodes placed in vertical three-layer earth. IEEE Trans. Magn. 32(3), 1505–1508 (1996)

    Article  Google Scholar 

  9. Zeng, R., He, J., Gao, Y., Zou, J., Guan, Z.: Grounding resistance measurement analysis of grounding system in vertical-layered soil. IEEE Trans. Power Delivery 19(4), 1553–1559 (2004)

    Article  Google Scholar 

  10. Cao, X., Wu, G., Li, S., Zhou, W., Li, R.: A simple formula of grounding grid resistance in vertical two-layer soil. In: Transmission and Distribution Conference and Exposition, Trans. and Dist. IEEE/PES, pp. 1–5 (2008)

    Google Scholar 

  11. Seedher, H.R., Arora, J.K.: Estimation of two layer soil parameters using finite wenner resistivity expressions. IEEE Trans. Power Delivery 7(3), 1213–1217 (1992)

    Article  Google Scholar 

  12. Dawalibi, F., Barbeito, N.: Measurements and computations of the performance of grounding systems buried in multilayer soils. IEEE Trans. Power Delivery 6(4), 1483–1490 (1991)

    Article  Google Scholar 

  13. Shi, Y.: Brain storm optimization algorithm. In: Tan, Y., Shi, Y., Chai, Y., Wang, G. (eds.) ICSI 2011, Part I. LNCS, vol. 6728, pp. 303–309. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

Download references

Acknowledgments

This work is supported by the National Natural Science Foundation of China under grant No. 61273367.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Tiew On Ting .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Ting, T.O., Shi, Y. (2016). Parameter Estimation of Vertical Two-Layer Soil Model via Brain Storm Optimization Algorithm. In: Tan, Y., Shi, Y., Niu, B. (eds) Advances in Swarm Intelligence. ICSI 2016. Lecture Notes in Computer Science(), vol 9712. Springer, Cham. https://doi.org/10.1007/978-3-319-41000-5_50

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-41000-5_50

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-40999-3

  • Online ISBN: 978-3-319-41000-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics