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Implementation of a Scheduling and Pricing Model for Natural Gas

  • W. Pepper
  • B. J. Ring
  • E. G. ReadEmail author
  • S. R. Starkey
Chapter
Part of the Energy Systems book series (ENERGY)

Abstract

Since 1999, the Australian state of Victoria has operated a natural gas spot market to both determine daily prices for natural gas and develop an optimal schedule for the market based on an LP (Linear Programming) approximation to the underlying inter-temporal nonlinear aspects of the gas flow optimization problem. This market employs a dispatch optimization model and a related market clearing model. Here we present the model employed for both the operational scheduling and price determination. The basic dispatch optimization formulation covers the key physical relationships between pressure, flow, storage, with flow controlled by valves, and assisted by compressors, where flow and storage are measured with respect to energy rather than in terms of mass. But we also discuss a range of sophisticated mathematical techniques which have had to be employed to create a practical dispatch tool, including iterating between piecewise and successive linearization; iterating between barrier and simplex algorithms to manage numerical accuracy and solution speed issues, and special methods developed to deal with scheduling flexibility. The market clearing model is a variation on the dispatch optimization model which replaces the gas network with an infinite storage tank with unlimited transport capacity. We address the performance of the model including accuracy and run time.

Keywords

Linear Programming (LP) Linearization Market Natural gas Optimization Pipelines Prices 

References

  1. 1.
    Read EG, Ring BJ, Starkey SR, Pepper W (2012) An LP formulation for a natural gas market. A. Sorokin et al. (eds.), Handbook of Networks in Power Systems II, Energy Systems, Springer-Verlag Berlin HeidelbergGoogle Scholar
  2. 2.
    Ruff LE (1997) Victorian Gas Market Clearing Logic Version MCL 1.2. Released by Energy Projects Division, Department of Treasury and Finance, 30 October.Google Scholar
  3. 3.
    Pepper W (1999) AEMO market clearing engine: mathematical formulation. Version 1.20.4 Draft Report by ICF Consulting to VENCorp (now AEMO)Google Scholar
  4. 4.
    Zhu G, Henson MA, Megan L (2001) Dynamic modeling and linear model predictive control of gas pipeline networks. J Process Control 11(2):129–148CrossRefGoogle Scholar
  5. 5.
    Johnson AT, Marquart BC, Istre ML, Walloopillai RK (2000) Integrating an expert system and pipeline simulation to enhance gas pipeline operation, profitability and safety. www.psig.org/papers/2000/0007_OnlinePDF.pdf. Accessed 23 Nov 2010
  6. 6.
    Hogan WW (1992) Contract networks for electric power transmission. J Reg Econ 4(3):211–242. ICFI (2010) ICFI gas market model. www.icfi.com/markets/energy/doc_files/nangasweb_OnlinePDF.pdf. Accessed 28 Oct 2010CrossRefGoogle Scholar
  7. 7.
    AEMO (2010) National gas rules, Part 20 at http://www.aemc.gov.au/Gas/National-Gas-Rules/Current-Rules.html. Accessed 2 Sep 2010
  8. 8.
    Zheng QP, Rebennack S, Iliadis N, Pardalos PM(2010) Optimization models in the natural gas industry. In: Rebennack IS, Pardalos PM, Pereira MVF, Iliadis NA (eds) Handbook of power systems I. Springer-Verlag Berlin Heidelberg, pp 121–148CrossRefGoogle Scholar
  9. 9.
    Wu S, Rios-Mercado RZ, Boyd EA, Scott LR (2000) Model relaxations for the fuel cost minimization of steady-state gas pipeline networks. Math Comput Model 31:197–220CrossRefGoogle Scholar
  10. 10.
    De Wolf D, Smeers Y (2000a) The gas transmission problem solved by an extension of the simplex algorithm. Manag Sci 46:1454–1465CrossRefGoogle Scholar
  11. 11.
    De Wolf D, Smeers Y (2000b) The simplex algorithm extended to piecewise-linearly constrained problems. http://citeseerx.ist.psu.edu/viewdoc/summary?. doi=10.1.1.14.8090. Accessed 23 Nov 2010
  12. 12.
    Tomasgard A, Rømo F, Fodstad M, Midthun KT (2007) Optimization models for the natural gas value chain, In: Hasle G, Lie KA, Quak E (eds), Geometric modelling, numerical simulation, and optimization: applied mathematics at SINTEF, Springer-Verlag Berlin Heidelberg, pp 521–558Google Scholar
  13. 13.
    Midthun KT, Bjørndal M, Tomasgard A (2009) Modeling optimal economic dispatch and system effects in natural gas networks. Energy J 30(4):155–180CrossRefGoogle Scholar
  14. 14.
    Martin A, Moller M, Moritz S (2006) Mixed integer models for the stationary case of gas network optimization. Math Program Ser B 105:563–582MathSciNetCrossRefGoogle Scholar
  15. 15.
    Van der Hoeven, T. (2004), Math in gas and the art of linearization, PhD thesis International Business School and Research Center for Natural Gas, Groningen, The NetherlandsGoogle Scholar
  16. 16.
    Read EG, Whaley R (1997) A gas market model for Victoria: dispatch/pricing formulation. Report by Putnam, Hayes & Bartlett – Asia Pacific Ltd. to VENCorp (now AEMO)Google Scholar
  17. 17.
    Dorin B, Toma-Leonida D (2008) On modelling and simulating natural gas transmission systems (part I). J Contr Eng Appl Infor 10(3):27Google Scholar
  18. 18.
    Hager W (2003) Blasius: a life in research and education. Exp Fluids 34(5):566–571CrossRefGoogle Scholar
  19. 19.
    Peretti A, Toth P (1982) Optimization of a pipeline for the natural gas transport. Eur J Oper Res 11:247–254CrossRefGoogle Scholar
  20. 20.
    Pepper W, Lo G (1999). Application of linear program to gas market and pipeline model in the state of Victoria, Australia. In: INFORMS conference, Cincinnati, May 1999Google Scholar
  21. 21.
    Rios-Mercado RZ (2002) Natural gas pipeline optimization. In: Pardalos PM, Resende MGC (eds) Handbook of applied optimization. Oxford University Press, New York, pp 813–826Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • W. Pepper
    • 1
  • B. J. Ring
    • 2
  • E. G. Read
    • 3
    Email author
  • S. R. Starkey
    • 3
  1. 1.ICF InternationalFairfaxUSA
  2. 2.Market ReformMelbourneAustralia
  3. 3.University of CanterburyChristchurchNew Zealand

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