close
Skip to main content
Log in

A nonlinear bilevel model for analysis of electric utility demand-side planning issues

  • Published:
Annals of Operations Research Aims and scope Submit manuscript

Abstract

An application of bilevel programming in the electric utility industry is presented. The model is nonlinear and is used to analyze various economic issues that affect electric utility planning. The electric utility at the upper level of the model seeks to minimize costs or maximize benefits while controlling electric rates and subsidizing energy conservation programs. Customers at the lower level attempt to maximize their net benefit by consuming electricity and investing in conservation. This model considers factors such as free riders and the rebound effect which affect the net benefits of utility resource plans but are ignored by most planning models. The model's solutions shed light on utility issues including whether there can be a practical difference between various objectives, including minimizing cost (“least cost” planning) and maximizing net social welfare (“value based” planning).

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

Access this article

Subscribe and save

Springer+
from $39.99 /Month
  • Starting from 10 chapters or articles per month
  • Access and download chapters and articles from more than 300k books and 2,500 journals
  • Cancel anytime
View plans

Buy Now

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G.B. Dantzig and P. Wolfe, Decomposition principle for linear programs, Oper. Res. 8(1960)101–111.

    Google Scholar 

  2. J.A. Bloom, Solving an electricity generating capacity expansion planning problem by generalized Benders decomposition, Oper. Res. 31(1983)84–100.

    Google Scholar 

  3. D. Bienstock and J.F. Shapiro, Optimizing resource acquisition decisions by stochastic programming, Manag. Sci. 34(1988)215–228.

    Google Scholar 

  4. R.D. Wollmer, Two-stage linear programming under uncertainty with zero - one first-stage variables, Math. Progr. 19(1980)278–288.

    Google Scholar 

  5. M. Simaan and J.B. Cruz, On the Stackelberg strategy in non-zero sum games, J. Optim. Theory Appl. 11(1973)533–555.

    Google Scholar 

  6. G. Anandalingam, Stackelberg games and multi-sectoral economic planning, IEEE Trans. Systems, Man, and Cybernetics SMC-17(1987)670–676.

    Google Scholar 

  7. W.F. Bialas and M.H. Karwan, On two-level optimization, IEEE Trans. Auto. Control AC-27(1982)211–214.

    Google Scholar 

  8. J.F. Bard and J.E. Falk, An explicit solution to the multi-level programming problem, Comput. Oper. Res. 9(1982)77–100.

    Google Scholar 

  9. L.J. LeBlanc and D.E. Boyce, A bilevel programming algorithm for exact solution of the network design problem with user-optimal flows, Transport. Res. B 20(1986)259–265.

    Google Scholar 

  10. C.W. Gellings and J.P. Harper, Energy conservation: Shaping energy use, Forum for Applied Research and Public Policy (1987), pp. 64–76.

  11. J.M. Chamberlin and P. Hanser, Integrated value based planning: Service built on value, Electric Power Research Institute, Palo Alto, CA (1987).

    Google Scholar 

  12. J. Read and J.C. Graves, Planning for electric utilities: The value of service, in: Moving toward integrated value-based planning: The issues, EPRI Report EM-5812, Electric Power Research Institute (1988), pp. 307–319.

  13. L.E. Ruff, Least-cost planning and demand-side management strategies: Six common fallacies and one simple truth, Public Utilities Fortnightly (April, 1988).

  14. A.B. Lovins, Saving gigabucks with megawatts, Public Utilities Fortnightly (March, 1985).

  15. Illinois Commerce Commission, Least cost energy planning, Final Report 86-NOI-2, Springfield, IL (1987).

  16. B.F. Hobbs and S. Nelson, Assessing conservation payments: Least cost, least rates, or most value?, The Electricity Journal 2(6)(1989)28–39.

    Google Scholar 

  17. B.F. Hobbs, The “Most Value” test: Economic evaluation of electricity demand-side management considering customer value, The Energy Journal 12(2)(1991)67–91.

    Google Scholar 

  18. T. Flaim, A.K. Miedema and C.A. Clayton, Are appliance rebate programs cost-effective? Some experimental results, in: Demand-side management strategies for the 90's, EPRI Report CU-6367, Electric Power Research Institute, Palo Alto, CA (1989), ch. 28.

    Google Scholar 

  19. J.D. Khazzoum, Energy savings resulting from the adoption of more efficient appliances, The Energy Journal 8(4)(1987)85–89.

    Google Scholar 

  20. A.B. Lovins, Energy savings resulting from the adoption of more efficient appliances: Another view, The Energy Journal 9(2)(1988)155–162.

    Google Scholar 

  21. S. Nelson, Analysis of utility planning issues using an economic analysis model, M.S. Thesis, Case Western Reserve University, Cleveland, OH (1989).

    Google Scholar 

  22. A.F. Wilson and V. Gamponia, Market demand for Seattle's weatherization programs: An economic assessment, in:Innovations in Pricing and Planning, Proc., Electric Power Research Institute, Palo Alto, CA (1990).

    Google Scholar 

  23. P.S. Komor and L.L. Wiggins, Energy conservation behavior: A critique of the cost-minimization model, and a review of some alternative models, J. Environ. Syst. 18(1988)15–30.

    Google Scholar 

  24. P.S. Komor and L.L. Wiggins, Predicting conservation choice: Beyond the cost-minimization assumption, Energy 13(1988)633–645.

    Google Scholar 

  25. P.G. Sassone and W.A. Shaffer,Cost-Benefit Analysis — A Handbook (Academic Press, New York, 1978).

    Google Scholar 

  26. J.A. Hausmann, Individual discount rates and the purchase and utilization of energy-using durables, Bell J. Econ. 10(1979)33–54.

    Google Scholar 

  27. J.A. Dubin and D.L. McFadden, An econometric analysis of residential electric appliance holdings and consumption, Econometrica 54(1984)345–363.

    Google Scholar 

  28. K.W. Costello and P.S. Galen, An approach for evaluating conservation programs, Resources and Energy 7(1985)283–304.

    Google Scholar 

  29. R. Turvey and D. Anderson,Electricity Economics: Essays and Case Studies (published for the World Bank, Johns Hopkins University Press, Baltimore, MD, 1977).

    Google Scholar 

  30. J. Liebman, L. Lasdon, L. Schrage and A. Waren,Modelling and Optimization with GINO (The Scientific Press, Palo Alto, CA, 1986).

    Google Scholar 

  31. A. Haurie, R. Loulou and G. Savard, Two-level systems analysis model of power cogeneration under asymmetric pricing, IEEE Trans. Auto. Control, in press.

  32. F. Wirl, Analytics of demand-side conservation programs, Energy Systems and Policy 13(1989)285–300.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hobbs, B.F., Nelson, S.K. A nonlinear bilevel model for analysis of electric utility demand-side planning issues. Ann Oper Res 34, 255–274 (1992). https://doi.org/10.1007/BF02098182

Download citation

  • Issue date:

  • DOI: https://doi.org/10.1007/BF02098182

Keywords