Skip to main content

Advertisement

Log in

Principal component analysis of West European wind power generation

  • Regular Article
  • Published:
The European Physical Journal Plus Aims and scope Submit manuscript

Abstract

The principal component analysis of the West European wind power production is worked out and presented. The overall production in 15 countries in Western Europe is highly correlated and it is shown that the sum-production is dominated by a number of principal components far less than the number of countries. This manifests the correlation of wind power production in the larger area such as Western Europe.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

Notes

  1. The variational coefficient is the ratio of standard deviation and mean value.

  2. As a comparison: For uniformly distributed properties the variational coefficient is \(\frac{1}{\sqrt{3}}\approx 0.58\), i.e. in each country the variation of wind power is greater than the variation of eyes when rolling dice.

  3. Both assumptions are quite bold. On the one hand, the continental climate is not as variable as near the coast and, on the other hand, the histogram of electricity demand will change across the large area.

References

  1. D. Ahlborn, Statistische Verteilungsfunktion der Leistung aus Windkraftanlagen. World Min. Surf. Undergr. 67(4), 272–277 (2015)

    Google Scholar 

  2. D. Ahlborn, Glättung der Windeinspeisung durch Ausbau der Windkraft. Energiewirtschaftliche Tagesfragen 65(12), 37–39 (2015)

    Google Scholar 

  3. A. Buttler, F. Dinkel, S. Franz, H. Spliethoff, Variability of wind and solar power—an assessment of the current situation in the European Union based on the year 2014. Energy 106, 147–161 (2016)

    Article  Google Scholar 

  4. J.P. Hennesey, Some aspects of wind power statistics. J. Appl. Meteorol. 16(2), 119–128 (1977)

    Article  ADS  Google Scholar 

  5. H. Irretier, Grundlagen der Schwingungstechnik 2 (Vieweg, Braunschweig, 2001), p. 17

    Book  Google Scholar 

  6. T. Linnemann, G. Vallana, Wind energy in Germany and Europe status, potentials and challenges for baseload application. Part 2: European situation in 2017. VGB Power Tech. 3, 1–17 (2019)

    Google Scholar 

  7. H. Louie, J.M. Sloughter, Probabilistic modeling and statistical characteristics of aggregate wind power, in Large Scale Renewable Power Generation- Advances in Technologies for Generation, Transmission and Storage (Springer, Berlin, 2014), pp. 19–51

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Detlef Ahlborn.

Additional information

My special thanks go to my son Felix Ahlborn, M.Sc. for the critical discussion and for the correction of the manuscript.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ahlborn, D. Principal component analysis of West European wind power generation. Eur. Phys. J. Plus 135, 568 (2020). https://doi.org/10.1140/epjp/s13360-020-00585-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjp/s13360-020-00585-4

Navigation