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A flexible framework for modeling customer damage functions for power outages

  • Sean Ericson
  • Lars Lisell
Original Paper
  • 13 Downloads

Abstract

This paper develops a flexible method for estimating the customer cost of a power outage. We add to the current body of literature by outlining a framework which properly accounts for the effects of outage duration. We begin by separating costs into categories depending on whether the cost varies with outage duration and whether the cost is due to perishable inventory. We derive useful functional forms for each cost category and discuss how parameters vary by load type and outage characteristics. We derive outage cost estimates for an unexpected loss of power to both an example manufacturing plant and an example fire station. The framework described in this paper can easily be employed to model outage costs for a wide range of specific operating conditions.

Keywords

Resilience Electricity Customer damage function Value of lost load Power outage cost Lost load Economic modeling Outage duration 

References

  1. 1.
    AEMO: Value of Customer Reliability Review—Final Paper. Tech. rep, Australian Energy Market Operator (2014)Google Scholar
  2. 2.
    Alam, M.: Coping with blackouts: power outages and firm choices. Department of Economics, Yale University, New Haven (2013)Google Scholar
  3. 3.
    Allcott, H., Collard-Wexler, A., O’Connell, S.D.: How do electricity shortages affect industry? Evidence from India. Am. Econ. Rev. 106(3), 587–624 (2016)CrossRefGoogle Scholar
  4. 4.
    Anderson, A., Geckil, I.: Northeast blackout likely to reduce US earnings by \$6.4 billion. Tech. Rep (2003)Google Scholar
  5. 5.
    Balducci, P.J., Roop, J.M., Schienbein, L.A., DeSteese, J.G., Weimar, M.R.: Electric power interruption cost estimates for individual industries, sectors, and US economy. Tech. rep, Pacific Northwest National Laboratory (PNNL), Richland, WA (US) (2002)Google Scholar
  6. 6.
    Billinton, R., Wacker, G.: Subramaniam R factors affecting the development of an industrial customer damage function. IEEE Trans. Power Syst. PAS–104(11), 3209–3215 (1985)Google Scholar
  7. 7.
    Billinton, R., Wacker, G., Subramaniam, R.: Factors affecting the development of a commercial customer damage function. IEEE Trans. Power Syst. PWRS–1(4), 28–33 (1986)CrossRefGoogle Scholar
  8. 8.
    Billinton, R., Wacker, G., Subramaniam, R.: Factors affecting the development of a residential customer damage function. IEEE Trans. Power Syst. PWRS–2(1), 204–209 (1987)CrossRefGoogle Scholar
  9. 9.
    Billinton, R., Wacker, G., Subramaniam, R.: Farm losses resulting from electric service interruptions: a Canadian survey. IEEE Trans. Power Syst. 4(4), 472–478 (1989)Google Scholar
  10. 10.
    CEER: Guidelines of good practice on estimation of costs due to electricity interruptions and voltage disturbances. Tech. rep, Council of European Energy Regulators (2010)Google Scholar
  11. 11.
    Centolella, P.: Estimates of the value of uninterrupted service for the mid-west independent system operator. Tech. rep, SAIC (2010)Google Scholar
  12. 12.
    Chowdhury, A., Mielnik, T., Lawton, L., Sullivan, M., Katz, A.: Reliability worth assessment in electric power delivery systems. IEEE Power Eng. Soc. Gen. Meet. 1, 654–660 (2004)Google Scholar
  13. 13.
    Corwin, J., Miles, W.: Impact assessment of the 1977 New York City Blackout. Tech. rep, Department of Energy (1978)Google Scholar
  14. 14.
    De Nooij, M., Koopmans, C., Bijvoet, C.: The value of supply security: the costs of power interruptions: economic input for damage reduction and investment in networks. Energy Econ. 29(2), 277–295 (2007)CrossRefGoogle Scholar
  15. 15.
    ELCON: The economic impacts of the August 2003 blackout. Tech. rep, Electricity Consumers Resource Council (2004)Google Scholar
  16. 16.
    FDA Food code: 2017 recommendations of the United States Public Health Service Food and Drug Administration. Tech. rep., U.S. Food and Drug Administration (2017)Google Scholar
  17. 17.
    FEMA FEMa benefit-cost analysis re-engineering (BCAR): Development of standard economic values version 6.0. Tech. rep., Federal Emergency Management Agency (2011)Google Scholar
  18. 18.
    Fisher-Vanden, K., Mansur, E.T., Wang, Q.J.: Electricity shortages and firm productivity: evidence from China’s industrial firms. J. Dev. Econ. 114, 172–188 (2015)CrossRefGoogle Scholar
  19. 19.
    Haynes, H.: Fire loss in the United States during 2016. NFPA J. (2017)Google Scholar
  20. 20.
    Küfeoǧlu, S., Lehtonen, M.: A review on the theory of electric power reliability worth and customer interruption costs assessment techniques. In: 2016 13th international conference on the European Energy Market (EEM), pp. 1–6 (2016).  https://doi.org/10.1109/EEM.2016.7521239
  21. 21.
    Lawton, L., Sullivan, M., Van Liere, K., Katz, A., Eto, J.: A framework and review of customer outage costs: Integration and analysis of electric utility outage cost surveys. Tech. rep, Lawrence Berkeley National Laboratory (2003)Google Scholar
  22. 22.
    Leahy, E., Tol, R.: An estimate of the value of lost load for Ireland. Energy Policy 39, 1514–1520 (2011)CrossRefGoogle Scholar
  23. 23.
    Lineweber, D., McNulty, S.: The cost of power disturbances to industrial and digital economy companies. Tech. rep, Electric Power Research Institute (2001)Google Scholar
  24. 24.
    Mills, E., Jones, R.: An insurance perspective on U.S. electric grid disruption costs. Tech. Rep (2016)Google Scholar
  25. 25.
    Munasinghe, M., Scott, W.G., Gellerson, M.: The economics of power system reliability and planning: theory and case study/Mohan Munasinghe, with contributions by Scott, Walter G., Gellerson, Mark: Published for the World Bank [by] Johns Hopkins University Press Baltimore (1979)Google Scholar
  26. 26.
    PRIMEN The cost of power disturbances to industrial & digital economy companies. Tech. rep., EPRI’s Consortium for Electric Infrastructure and a Digital Society (2001)Google Scholar
  27. 27.
    Reichl, J., Schidthaler, M., Schneider, F.: The value of supply security: the costs of power outages to Austrian households, firms and the public sector. Energy Econ. 36, 256–261 (2013)CrossRefGoogle Scholar
  28. 28.
    Sanstad, A.: Regional economic modeling of electricity supply disruptions: a review and recommendations for research. Tech. rep, Lawrence Berkeley National Laboratory (2016)Google Scholar
  29. 29.
    Schrüder, T., Kuckshinrichs, W.: Value of lost load: an efficient economic indicator for power supply security? A literature review. Front. Energy Res. 3, 55 (2015).  https://doi.org/10.3389/fenrg.2015.00055 CrossRefGoogle Scholar
  30. 30.
    Shogren, J.F., Shin, S.Y., Hayes, D.J., Kliebenstein, J.B.: Resolving differences in willingness to pay and willingness to accept. Am. Econ. Rev. 84(1), 255–270 (1994)Google Scholar
  31. 31.
    Silverstein, A., Gramlich, R., Goggin, M.: A customer-focused framework for electric system resilience. Tech. rep, Grid Strategies (2018)Google Scholar
  32. 32.
    Sullivan, M., Mercurio, M., Schellenberg, J.: Estimated value of service reliability for electric utility customers in the United States. Tech. rep, Lawrence Berkeley National Laboratory (2009)Google Scholar
  33. 33.
    Sullivan, M., Perry, M., Schellenberg, J., Burwen, J., Holmberg, S., Woehleke, S.: Pacific gas and electric company’s 2012 value of service study. Tech. rep., pacific gas and electric (2012)Google Scholar
  34. 34.
    Sullivan, M., Schellenberg, J., Blundell, M.: Updated value of service reliability estimates for electric utility customers in the United States (2015)Google Scholar
  35. 35.
    Sullivan, M., Collins, M., Schellenberg, J., Larson, P.: Estimating power system interruption costs: A guidebook for electric utilities. Tech. rep, Lawrence Berkeley National Laboratory (2018)Google Scholar
  36. 36.
    Tollefson, G., Billinton, R., Wacker, G.: Comprehensive bibliography on reliability worth and electrical service consumer estimation costs: 1980–1990. IEEE Trans. Power Syst. 4, 1508–1514 (1991)CrossRefGoogle Scholar
  37. 37.
    Tollefson, G., Billinton, R., Wacker, G., Chan, E., Aweya, J.: A Canadian customer survey to assess power system reliability worth. IEEE Trans. Power Syst. 9(1), 443–450 (1994)CrossRefGoogle Scholar
  38. 38.
    Wacker, G., Billinton, R.: Customer cost of electric service interruptions. Proc. IEEE 77(6), 916–930 (1989)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.National Renewable Energy Laboratory (NREL)GoldenUSA

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