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Volumn 2, Issue 3-4, 2011, Pages 209-242

Modeling and solving a large-scale generation expansion planning problem under uncertainty

Author keywords

Generation expansion planning; Multiple replication procedure; Scenario generation; Solution stability; Stochastic programming

Indexed keywords

CONDITIONAL VALUE-AT-RISK; CONFIDENCE INTERVAL; DECISION MAKERS; EXPECTED COSTS; FINITE SAMPLES; FUEL PRICES; GENERATION EXPANSION PLANNING; GENERATION EXPANSION PLANNING PROBLEM; MIXED-INTEGER PROGRAMS; MULTIPLE REPLICATION PROCEDURE; OPERATIONAL COSTS; PARAMETERIZATIONS; PARTICULAR SOLUTION; PLANNING HORIZONS; PROBLEM INSTANCES; SCENARIO GENERATION; SOLUTION STABILITY; STOCHASTIC GENERATION; STOCHASTIC PROCESS MODEL; TWO STAGE; UNCERTAINTY SPACE;

EID: 84856301035     PISSN: 18683967     EISSN: 18683975     Source Type: Journal    
DOI: 10.1007/s12667-011-0042-9     Document Type: Article
Times cited : (103)

References (70)
  • 2
    • 1942539743 scopus 로고    scopus 로고
    • An approximation scheme for stochastic integer programs arising in capacity expansion
    • Ahmed, S., Sahinidis, N.: An approximation scheme for stochastic integer programs arising in capacity expansion. Oper. Res. 51(3), 461-471 (2003)
    • (2003) Oper. Res. , vol.51 , Issue.3 , pp. 461-471
    • Ahmed, S.1    Sahinidis, N.2
  • 3
    • 84867954072 scopus 로고    scopus 로고
    • A multi-stage stochastic integer programming approach for capacity expansion under uncertainty
    • Ahmed, S., King, A., Parija, G.: A multi-stage stochastic integer programming approach for capacity expansion under uncertainty. J. Glob. Optim. 26, 3-24 (2003)
    • (2003) J. Glob. Optim. , vol.26 , pp. 3-24
    • Ahmed, S.1    King, A.2    Parija, G.3
  • 7
    • 84856239789 scopus 로고    scopus 로고
    • Energy Information Administration, Department of Energy
    • Annual Energy Outlook 2009: Tech. rep., Energy Information Administration, Department of Energy (2009)
    • (2009) Annual Energy Outlook 2009: Tech. Rep
  • 8
    • 0015282687 scopus 로고
    • Optimal generation planning considering uncertainty
    • Booth, R.: Optimal generation planning considering uncertainty. IEEE Trans. Power Appar. Syst. PAS-91, 70-77 (1972)
    • (1972) IEEE Trans. Power Appar. Syst. , vol.PAS-91 , pp. 70-77
    • Booth, R.1
  • 9
    • 0035507084 scopus 로고    scopus 로고
    • A game-theoretic model for generation expansion planning: Problem formulation and numerical comparisons
    • DOI 10.1109/59.962441, PII S0885895001094482
    • Chuang, A., Wu, F., Varaiya, P.: A game-theoretic model for generation expansion planning: Problem formulation and numerical comparisons. IEEE Trans. Power Syst. 16(4), 885-891 (2001) (Pubitemid 33106141)
    • (2001) IEEE Transactions on Power Systems , vol.16 , Issue.4 , pp. 885-891
    • Chuang, A.S.1    Wu, F.2    Varaiya, P.3
  • 10
    • 84856269949 scopus 로고    scopus 로고
    • COIN-OR: COmputational INfrastructure for Operations Research.
    • COIN-OR: COmputational INfrastructure for Operations Research. http://www.coin-or.org (2010)
    • (2010)
  • 11
    • 84856269951 scopus 로고    scopus 로고
    • CPLEX
    • CPLEX: Http://www.cplex.com (2010)
    • (2010)
  • 13
    • 32144434903 scopus 로고    scopus 로고
    • Wind generation, power system operation, and emissions reduction
    • DOI 10.1109/TPWRS.2005.857845
    • Denny, E., O'Malley, M.: Wind generation power system operation, and emissions reduction. IEEE Trans. Power Syst. 21(1), 341-347 (2006) (Pubitemid 43204732)
    • (2006) IEEE Transactions on Power Systems , vol.21 , Issue.1 , pp. 341-347
    • Denny, E.1    O'Malley, M.2
  • 14
    • 0042243726 scopus 로고    scopus 로고
    • Optimal Power Generation under Uncertainty via Stochastic Programming
    • Stochastic Programming Methods and Technical Applications
    • Dentcheva, D., Romisch, W.: Optimal power generation under uncertainty via stochastic programming. Stoch. Program. Methods Tech. Appl., pp. 22-56 (1998) (Pubitemid 128055676)
    • (1998) Lecture Notes in Economics and Mathematical Systems , Issue.458 , pp. 22-56
    • Dentcheva, D.1    Roemisch, W.2
  • 15
    • 33747593556 scopus 로고    scopus 로고
    • Establishing the role that wind generation may have in future generation portfolios
    • DOI 10.1109/TPWRS.2006.879258
    • Doherty, R., Outhred, H., O'Malley, M.: Establishing the role that wind generation may have in future generation portfolios. IEEE Trans. Power Syst. 21(3), 1415-1422 (2006) (Pubitemid 44263536)
    • (2006) IEEE Transactions on Power Systems , vol.21 , Issue.3 , pp. 1415-1422
    • Doherty, R.1    Outhred, H.2    O'Malley, M.3
  • 16
    • 0034559151 scopus 로고    scopus 로고
    • Scenarios for multistage stochastic programs
    • Dupacova, J., Consigli, G.,Wallace, S.: Scenarios for multistage stochastic programs. Ann. Oper. Res. 100, 25-53 (2000)
    • (2000) Ann. Oper. Res. , vol.100 , pp. 25-53
    • Dupacova, J.1    Consigli, G.2    Wallace, S.3
  • 17
    • 84856271407 scopus 로고    scopus 로고
    • Stochastic optimization of electricity portfolios: Scenario tree modeling and risk management
    • In: Rebennack, S., Pardalos, P., Pereira, M., Iliadis, N. (eds.), Springer, Berlin
    • Eichhorn, A., Heitsch, H., Romisch, W.: Stochastic optimization of electricity portfolios: Scenario tree modeling and risk management. In: Rebennack, S., Pardalos, P., Pereira, M., Iliadis, N. (eds.) Handbook of Power Systems, vol. II, pp. 405-432. Springer, Berlin (2010)
    • (2010) Handbook of Power Systems , vol.2 , pp. 405-432
    • Eichhorn, A.1    Heitsch, H.2    Romisch, W.3
  • 18
    • 84856293046 scopus 로고    scopus 로고
    • Electric Generation Expansion Analysis System (EGEAS): Tech. rep., Electric Power Research Institute
    • Electric Generation Expansion Analysis System (EGEAS): Tech. rep., Electric Power Research Institute (2009)
    • (2009)
  • 19
    • 0036699908 scopus 로고    scopus 로고
    • Generation expansion planning: An iterative genetic algorithm approach
    • DOI 10.1109/TPWRS.2002.801036, PII 1011092002801036
    • Firmo, H., Legey, L.: Generation expansion planning: An iterative genetic algorithm approach. IEEE Trans. Power Syst. 17(3), 901-906 (2002) (Pubitemid 35151774)
    • (2002) IEEE Transactions on Power Systems , vol.17 , Issue.3 , pp. 901-906
    • Firmo, H.T.1    Legey, L.F.L.2
  • 20
    • 0030143609 scopus 로고    scopus 로고
    • A parallel genetic algorithm for generation expansion planning
    • Fukuyama, Y., Chiang, H.: A parallel genetic algorithm for generation expansion planning. IEEE Trans. Power Syst. 11(2), 955-961 (1996) (Pubitemid 126781241)
    • (1996) IEEE Transactions on Power Systems , vol.11 , Issue.2 , pp. 955-961
    • Fukuyama, Y.1
  • 21
    • 43849086803 scopus 로고    scopus 로고
    • Stochastic joint optimization of wind generation and pumped-storage units in an electricity market
    • DOI 10.1109/TPWRS.2008.919430
    • Garcia-Gonzalez, J., de la Muela, R., Santos, L., Gonzalez, A.: Stochastic joint optimization of wind generation and pumped-storage units in an electricity market. IEEE Trans. Power Syst. 23(2), 460-468 (2008) (Pubitemid 351695825)
    • (2008) IEEE Transactions on Power Systems , vol.23 , Issue.2 , pp. 460-468
    • Garcia-Gonzalez, J.1    De La Muela, R.M.R.2    Santos, L.M.3    Gonzalez, A.M.4
  • 22
    • 84861523380 scopus 로고    scopus 로고
    • Scenario reduction and scenario tree construction for power management problems
    • Bologna, Italy
    • Growe-Kruska, N., Heitsch, H., Romisch, W.: Scenario reduction and scenario tree construction for power management problems. In: IEEE Bologna Power Tech. Conference, Bologna, Italy (2003)
    • (2003) IEEE Bologna Power Tech. Conference
    • Growe-Kruska, N.1    Heitsch, H.2    Romisch, W.3
  • 23
    • 0003645104 scopus 로고
    • A collection of stochastic programming problems
    • Holmes, D.: A collection of stochastic programming problems. Tech. rep. (1994)
    • (1994) Tech. Rep.
    • Holmes, D.1
  • 24
    • 0035261934 scopus 로고    scopus 로고
    • Generating scenario trees for multistage decision problems
    • Høyland, K., Wallace, S.: Generating scenario tree for multistage decision problems. Manag. Sci. 47(2), 295-307 (2001) (Pubitemid 34192765)
    • (2001) Management Science , vol.47 , Issue.2 , pp. 295-307
    • Hoyland, K.1    Wallace, S.W.2
  • 25
    • 84856293048 scopus 로고    scopus 로고
    • http://www.eia.doe.gov/international (2009)
    • (2009)
  • 26
    • 84856300095 scopus 로고    scopus 로고
    • http://www.eia.doe.gov/cneaf/electricity/epm/table1-1.html (2009)
    • (2009)
  • 27
    • 84856288589 scopus 로고    scopus 로고
    • http://en.wikipedia.org/wiki/Clean-coal#Clean-coal-technology (2009)
    • (2009)
  • 28
    • 84856288588 scopus 로고    scopus 로고
    • http://en.wikipedia.org/wiki/Renewable-energy-development#Production-tax- credits (2009)
    • (2009)
  • 29
    • 84856300094 scopus 로고    scopus 로고
    • http://www.eia.doe.gov/cneaf/electricity/epm/table1-1.html (2009)
    • (2009)
  • 30
    • 84856288587 scopus 로고    scopus 로고
    • http://www.gesys.com/pro-mod.htm (2009)
    • (2009)
  • 31
    • 84856269946 scopus 로고    scopus 로고
    • http://www.plexos.info/wiki (2009)
    • (2009)
  • 32
    • 84856300096 scopus 로고    scopus 로고
    • http://www.plexossolutions.com (2009)
    • (2009)
  • 33
    • 84856269945 scopus 로고    scopus 로고
    • http://en.wikipedia.org/wiki/Geometric-Brownian-motion (2009)
    • (2009)
  • 34
    • 84856288590 scopus 로고    scopus 로고
    • http://www.midwestmarket.org (2009)
    • (2009)
  • 35
    • 84856293049 scopus 로고    scopus 로고
    • International Energy Outlook 2009: Tech. rep., Energy Information Administration, Department of Energy
    • International Energy Outlook 2009: Tech. rep., Energy Information Administration, Department of Energy (2009)
    • (2009)
  • 36
    • 0003446320 scopus 로고
    • 2nd edn Wiley Series in Probability and Mathematical Statistics, Wiley, New York, Chap. 3: Lognormal distribution
    • Johnson, N., Kotz, S.: Continuous Univariate Distributions, 2nd edn. Wiley Series in Probability and Mathematical Statistics, vol. 1. Wiley, New York (1994). Chap. 3: Lognormal distribution
    • (1994) Continuous Univariate Distributions , vol.1
    • Johnson, N.1    Kotz, S.2
  • 37
    • 84856269948 scopus 로고    scopus 로고
    • Joint Coordinated System Planning Report 2008: Tech. rep
    • Joint Coordinated System Planning Report 2008: Tech. rep. (2009)
    • (2009)
  • 38
    • 13844311440 scopus 로고    scopus 로고
    • Application and comparison of metaheuristic techniques to generation expansion planning problem
    • DOI 10.1109/TPWRS.2004.840451
    • Kanna, S., Slochanal, S., Padhy, N.: Application and comparison of metaheuristic techniques to generation expansion planning problem. IEEE Trans. Power Syst. 20(1), 466-475 (2005) (Pubitemid 40259465)
    • (2005) IEEE Transactions on Power Systems , vol.20 , Issue.1 , pp. 466-475
    • Kannan, S.1    Slochanal, S.M.R.2    Padhy, N.P.3
  • 40
    • 2942539553 scopus 로고    scopus 로고
    • Cost-effective wind energy utilization for reliable power supply
    • Karki, R., Billinton, R.: Cost-effective wind energy utilization for reliable power supply. IEEE Trans. Energy Convers. 19(2), 435-440 (2004)
    • (2004) IEEE Trans. Energy Convers. , vol.19 , Issue.2 , pp. 435-440
    • Karki, R.1    Billinton, R.2
  • 42
    • 14644431735 scopus 로고    scopus 로고
    • Large-scale integration of wind power into different energy systems
    • Lund, H.: Large-scale integration of wind power into different energy systems. Energy 30(13), 2402-2412 (2005)
    • (2005) Energy , vol.30 , Issue.13 , pp. 2402-2412
    • Lund, H.1
  • 44
    • 0032632474 scopus 로고    scopus 로고
    • Monte carlo bounding techniques for determining solution quality in stochastic programs
    • Mak, W., Morton, D., Wood, R.: Monte Carlo bounding techniques for determining solution quality in stochastic programs. Oper. Res. Lett. 24, 47-56 (1999)
    • (1999) Oper. Res. Lett. , vol.24 , pp. 47-56
    • Mak, W.1    Morton, D.2    Wood, R.3
  • 45
    • 0028496734 scopus 로고
    • Robust optimization for power systems capacity expansion under uncertainty
    • Malcolm, S., Zenios, S.: Robust optimization for power systems capacity expansion under uncertainty. J. Oper. Res. Soc. 45(9), 1040-1049 (1994)
    • (1994) J. Oper. Res. Soc. , vol.45 , Issue.9 , pp. 1040-1049
    • Malcolm, S.1    Zenios, S.2
  • 46
    • 22444441554 scopus 로고    scopus 로고
    • On the validity of the geometric Brownian motion assumption
    • DOI 10.1080/00137910590949904
    • Marathe, R., Ryan, S.: On the validity of the geometric Brownian motion assumption. Eng. Econ. 50(2), 159-192 (2005) (Pubitemid 41006015)
    • (2005) Engineering Economist , vol.50 , Issue.2 , pp. 159-192
    • Marathe, R.R.1    Ryan, S.M.2
  • 49
    • 34248592608 scopus 로고    scopus 로고
    • A model for the multiperiod multiobjective power generation expansion problem
    • Meza, J., Yildirim, M., Masud, A.: A model for the multiperiod multiobjective power generation expansion problem. IEEE Trans. Power Syst. 22(2) (2007)
    • (2007) IEEE Trans. Power Syst. , vol.22 , Issue.2
    • Meza, J.1    Yildirim, M.2    Masud, A.3
  • 52
    • 85131900101 scopus 로고    scopus 로고
    • Modeling utility-scale wind power plants Part 2: Capacity credit
    • Milligan, M.: Modeling utility-scale wind power plants. Part 2: Capacity credit.Wind Energy 3, 106-206 (2000)
    • (2000) Wind Energy , vol.3 , pp. 106-206
    • Milligan, M.1
  • 53
    • 0026157469 scopus 로고
    • Stochastic generation expansion planning by means of stochastic dynamic programming
    • Mo, B., Hegge, J., Wangensteen, I.: Stochastic generation expansion planning by means of stochastic dynamic programming. IEEE Trans. Power Syst. 6(2), 662-668 (1991)
    • (1991) IEEE Trans. Power Syst. , vol.6 , Issue.2 , pp. 662-668
    • Mo, B.1    Hegge, J.2    Wangensteen, I.3
  • 54
    • 85108976174 scopus 로고
    • Robust optimization of large-scale systems
    • Mulvey, J., Vanderbei, R., Zenios, S.: Robust optimization of large-scale systems. Oper. Res. 43(2), 264-281 (1995)
    • (1995) Oper. Res. , vol.43 , Issue.2 , pp. 264-281
    • Mulvey, J.1    Vanderbei, R.2    Zenios, S.3
  • 55
    • 84856263123 scopus 로고    scopus 로고
    • Long-term and expansion planning for electrical networks considering uncertainties
    • In: Rebennack, S., Pardalos, P., Pereira, M., Iliadis, N. (eds.), Springer, Berlin
    • Paulun, T., Haubrich, H.J.: Long-term and expansion planning for electrical networks considering uncertainties. In: Rebennack, S., Pardalos, P., Pereira, M., Iliadis, N. (eds.) Handbook of Power Systems, vol. I, pp. 391-408. Springer, Berlin (2010)
    • (2010) Handbook of Power Systems , vol.1 , pp. 391-408
    • Paulun, T.1    Haubrich, H.J.2
  • 57
    • 77953736030 scopus 로고    scopus 로고
    • Coherent approaches to risk in optimization under uncertainty
    • INFORMS Annual Meeting
    • Rockafellar, R.: Coherent approaches to risk in optimization under uncertainty. In: Tutorials in Operation Research. INFORMS Annual Meeting (2007)
    • (2007) Tutorials in Operation Research.
    • Rockafellar, R.1
  • 58
    • 0002062038 scopus 로고    scopus 로고
    • Optimization of conditional value-at-risk
    • Rockafellar, R., Uryasev, S.: Optimization of Conditional Value-at-Risk. J. Risk 2, 21-41 (2000)
    • (2000) J. Risk , vol.2 , pp. 21-41
    • Rockafellar, R.1    Uryasev, S.2
  • 59
    • 0000514655 scopus 로고
    • Scenarios and policy aggregation in optimization under uncertainty
    • Rockafellar, R.T., Wets, R.J.B.: Scenarios and policy aggregation in optimization under uncertainty. Math. Oper. Res. 16(1), 119-147 (1991)
    • (1991) Math. Oper. Res. , vol.16 , Issue.1 , pp. 119-147
    • Rockafellar, R.T.1    Wets, R.J.B.2
  • 60
    • 84856269947 scopus 로고    scopus 로고
    • Brownian motion and stationary processes
    • 9th edn Elsevier, Amsterdam, Chapter 10
    • Ross, S.: Brownian motion and stationary processes. In: Introduction to Probability Models, 9th edn. Elsevier, Amsterdam (2007). Chapter 10
    • (2007) Introduction to Probability Models
    • Ross, S.1
  • 62
    • 1942500445 scopus 로고    scopus 로고
    • Optimization under uncertainty: State-of-the-art and opportunities
    • DOI 10.1016/j.compchemeng.2003.09.017, PII S0098135403002369
    • Sahinidis, N.: Optimization under uncertainty: State-of-the-art and opportunities. Comput. Chem. Eng. 28, 971-983 (2004) (Pubitemid 38520953)
    • (2004) Computers and Chemical Engineering , vol.28 , Issue.6-7 , pp. 971-983
    • Sahinidis, N.V.1
  • 63
    • 29044440969 scopus 로고    scopus 로고
    • Conditional value-at-risk in stochastic programs with mixed-integer recourse
    • Schultz, R., Tiedemann, S.: Conditional Value-at-Risk in stochastic programs with mixed-integer recourse. Math. Program. 105(2-3), 365-386 (2005)
    • (2005) Math. Program. , vol.105 , Issue.2-3 , pp. 365-386
    • Schultz, R.1    Tiedemann, S.2
  • 65
    • 0014534894 scopus 로고
    • L-shaped linear programs with applications to optimal control and stochastic programming
    • Slyke, R.M.V.,Wets, R.J.: L-shaped linear programs with applications to optimal control and stochastic programming. SIAM J. Appl. Math. 17, 638-663 (1969)
    • (1969) SIAM J. Appl. Math. , vol.17 , pp. 638-663
    • Slyke, R.M.V.1    Wets, R.J.2
  • 66
    • 21044451907 scopus 로고    scopus 로고
    • On robust optimization of two-stage systems
    • Takriti, S., Ahmed, S.: On robust optimization of two-stage systems. Math. Program., Ser. A 99, 106-126 (2004)
    • (2004) Math. Program., Ser. A , vol.99 , pp. 106-126
    • Takriti, S.1    Ahmed, S.2
  • 67
    • 24644512228 scopus 로고    scopus 로고
    • An analytical formula for the capacity credit of wind power
    • Voorspools, K., D'haeseleer,W.: An analytical formula for the capacity credit of wind power. Renew. Energy 31, 45-54 (2006)
    • (2006) Renew. Energy , vol.31 , pp. 45-54
    • Voorspools, K.1    D'haeseleer, W.2
  • 68
    • 0036027525 scopus 로고    scopus 로고
    • Multi-criteria decision analysis techniques in electric power system expansion planning
    • DOI 10.1016/S0142-0615(01)00005-9, PII S0142061501000059
    • Voropai, N., Ivanova, E.: Multi-criteria decision analysis techniques in electric power system expansion planning. Int. J. Electr. Power Energy Syst. 24, 71-78 (2002) (Pubitemid 33039433)
    • (2002) International Journal of Electrical Power and Energy Systems , vol.24 , Issue.1 , pp. 71-78
    • Voropai, N.I.1    Ivanova, E.Yu.2
  • 69
    • 76249087169 scopus 로고    scopus 로고
    • Formulation and optimization of robust sensor placement problems for drinking water contamination warning systems
    • Watson, J., Murray, R., Hart, W.: Formulation and optimization of robust sensor placement problems for drinking water contamination warning systems. J. Infrastruct. Syst. 15(4), 330-339 (2009)
    • (2009) J. Infrastruct. Syst. , vol.15 , Issue.4 , pp. 330-339
    • Watson, J.1    Murray, R.2    Hart, W.3


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