Modeling the impact of stochastic outages for electricity infrastructure development

Springer Science and Business Media LLC - Tập 5 - Trang 519-550 - 2013
Todd Levin1, Valerie M. Thomas2
1School of Industrial and Systems Engineering, Georgia Institute of Technology, Atlanta, USA
2School of Industrial and Systems Engineering and School of Public Policy, Georgia Institute of Technology, Atlanta, USA

Tóm tắt

Electricity systems are subject to delays in construction and outages during operation. These stochastic events have probabilities and costs that depend on local variables and system design. We present a methodology to analyze the cost and performance of different electricity infrastructure development paths in the presence of stochastic events and probabilistic parameters. Of primary interest are the impacts of long construction horizons for centralized infrastructures, variable commodity prices, random generation and transmission outages and budget instability. The methodology is demonstrated through a case study analysis of two different development paths for rural electrification in Rwanda, one that is primarily centralized and one that is primarily decentralized. We show that conventional modeling, which aggregates the effects of random events and probabilistic parameters, may understate the true costs of centralized infrastructure, as compared to explicit simulation of individual stochastic events. We show the extent to which the centralized development path can be negatively affected by disruptions to the available development budget. We also show that when consumer discount rates are high, the decentralized path can become a relatively lower cost option on a levelized basis.

Tài liệu tham khảo

Singh, P.P., Singh, S.: Realistic generation cost of solar photovoltaic electricity. Renew. Energy 35(3), 563–569 (Mar. 2010) Nouni, M.R., Mullick, S.C., Kandpal, T.C.: Photovoltaic projects for decentralized power supply in India: a financial evaluation. Energy Policy 34(18), 3727–3738 (Dec. 2006) Nouni, M.R., Mullick, S.C., Kandpal, T.C.: Techno-economics of small wind electric generator projects for decentralized power supply in India. Energy Policy 35(4), 2491–2506 (Apr. 2007) Nouni, M.R., Mullick, S.C., Kandpal, T.C.: Techno-economics of micro-hydro projects for decentralized power supply in India. Energy Policy 34(10), 1161–1174 (Jul. 2006) Nouni, M.R., Mullick, S.C., Kandpal, T.C.: Biomass gasifier projects for decentralized power supply in India: a financial evaluation. Energy Policy 35(2), 1373–1385 (Feb. 2007) Buchholz, T., Da Silva, I.: Potential of distributed wood-based biopower systems serving basic electricity needs in rural Uganda. Energy Sustain. Dev. 14(1), 56–61 (Mar. 2010) Nouni, M.R., Mullick, S.C., Kandpal, T.C.: Providing electricity access to remote areas in India: Niche areas for decentralized electricity supply. Renew. Energy 34(2), 430–434 (Feb. 2009) Sinha, C.S., Kandpal, T.C.: Decentralized v grid electricity for rural India? The economic factors. Energy Policy 19(5), 441–448 (Jun. 1991) Thiam, D.-R.: Renewable decentralized in developing countries: appraisal from microgrids project in Senegal. Renew. Energy 35(8), 1615–1623 (Aug. 2010) Kaijuka, E.: GIS and rural electricity planning in Uganda. J. Clean. Prod. 15(2), 203–217 (2007) Levin, T., Thomas, V.M.: Least-cost network evaluation of centralized and decentralized contributions to global electrification. Energy Policy 41, 286–302 (Feb. 2012) Lambert, T.W., Hittle, D.C.: Optimization of autonomous village electrification systems by simulated annealing. Solar Energy 68(1), 121–132 (Jan. 2000) Parshall, L., Pillai, D., Mohan, S., Sanoh, A., Modi, V.: National electricity planning in settings with low pre-existing grid coverage: development of a spatial model and case study of Kenya. Energy Policy 37(6), 2395–2410 (Jun. 2009) Zvoleff, A., Kocaman, A.S., Huh, W.T., Modi, V.: The impact of geography on energy infrastructure costs. Energy Policy 37(10), 4066–4078 (Oct. 2009) Deichmann, U., Meisner, C., Murray, S., Wheeler, D.: The economics of renewable energy expansion in rural Sub-Saharan Africa. Energy Policy 39(1), 215–227 (Jan. 2011) Levin, T., Thomas, V.M.: A mixed-integer optimization model for electricity infrastructure development. Energy Syst. 4(1), 79–98 (2013) (2012) Enterprise surveys. The World Bank, Washington, DC Zhuang J, Liang Z, Lin T, De Guzman F (2007) Theory and practive in the choice of social discount rate for cost–benefit analysis: a survey. Asian Development Bank, Working Paper No. 94 Dalla Pellegrina, L.: Microfinance and investment: a comparison with bank and informal lending. World Dev. 39(6), 882–897 (2011) Nfah, E.M., Ngundam, J.M., Vandenbergh, M., Schmid, J.: Simulation of off-grid generation options for remote villages in Cameroon. Renew. Energy 33(5), 1064–1072 (May 2008) Chaurey, A., Kandpal, T.C.: Assessment and evaluation of PV based decentralized rural electrification: an overview. Renew. Sustain. Energy Rev. 14(8), 2266–2278 (Oct. 2010) Camblong, H., Sarr, J., Niang, A.T., Curea, O., Alzola, J.A., Sylla, E.H., Santos, M.: Micro-grids project, part 1: analysis of rural electrification with high content of renewable energy sources in Senegal. Renew. Energy 34(10), 2141–2150 (Oct. 2009) Alzola, J.A., Vechiu, I., Camblong, H., Santos, M., Sall, M., Sow, G.: Microgrids project, part 2: design of an electrification kit with high content of renewable energy sources in Senegal. Renew. Energy 34(10), 2151–2159 (Oct. 2009) Khanh Q, N.: Alternatives to grid extension for rural electrification: decentralized renewable energy technologies in Vietnam. Energy Policy 35(4), 2579–2589 (2007) Urban, F., Benders, R.M.J., Moll, H.C.: Energy for rural India. Appl. Energy 86(Supplement 1), S47–S57 (Nov. 2009) Hossain Mondal, M.A.: Economic viability of solar home systems: case study of Bangladesh. Renew. Energy 35(6), 1125–1129 (2010) Chakrabarty, S., Islam, T.: Financial viability and eco-efficiency of the solar home systems (SHS) in Bangladesh. Energy 36(8), 4821–4827 (Aug. 2011) Chester, L.: Conceptualising energy security and making explicit its polysemic nature. Energy Policy 38(2), 887–895 (Feb. 2010) Kruyt, B., van Vuuren, D.P., de Vries, H.J.M., Groenenberg, H.: Indicators for energy security. Energy Policy 37(6), 2166–2181 (Jun. 2009) Vivoda, V.: Evaluating energy security in the Asia-Pacific region: a novel methodological approach. Energy Policy 38(9), 5258–5263 (Sep. 2010) Sovacool, B.K.: Evaluating energy security in the Asia Pacific: towards a more comprehensive approach. Energy Policy 39(11), 7472–7479 (Nov. 2011) Sovacool, B.K., Mukherjee, I.: Conceptualizing and measuring energy security: a synthesized approach. Energy 36(8), 5343–5355 (Aug. 2011) Sovacool, B.K., Mukherjee, I., Drupady, I.M., D’Agostino, A.L.: Evaluating energy security performance from 1990 to 2010 for eighteen countries. Energy 36(10), 5846–5853 (Oct. 2011) Cherp, A.: Defining energy security takes more than asking around. Energy Policy 48, 841–842 (Sep. 2012) Sovacool, B.K., Brown, M.A.: Competing dimensions of energy security: an international perspective. Annu. Rev. Environ. Resour. 35(1), 77–108 (Oct. 2010) Löschel, A., Moslener, U., Rübbelke, D.T.G.: Indicators of energy security in industrialised countries. Energy Policy 38(4), 1665–1671 (Apr. 2010) Jansen, J.C., Seebregts, A.J.: Long-term energy services security: what is it and how can it be measured and valued? Energy Policy 38(4), 1654–1664 (Apr. 2010) Jun, E., Kim, W., Chang, S.H.: The analysis of security cost for different energy sources. Appl. Energy 86(10), 1894–1901 (Oct. 2009) Winzer, C.: Conceptualizing energy security. Energy Policy 46, 36–48 (Jul. 2012) Sovacool, B.K., Valentine, S.V., Jain Bambawale, M., Brown, M.A., de Fátima Cardoso, T., Nurbek, S., Suleimenova, G., Li, J., Xu, Y., Jain, A., Alhajji, A.F., Zubiri, A.: Exploring propositions about perceptions of energy security: an international survey. Environ. Sci. Policy 16, 44–64 (2012) Knox-Hayes, J., Brown, M.A., Sovacool, B.K., Wang, Y.: Understanding attitudes toward energy security: results of a cross-national survey. Global Environ. Change 23(3), 609–622 (Jun. 2013) Beenstock, M.: Generators and the cost of electricity outages. Energy Econ. 13(4), 283–289 (Oct. 1991) Tishler, A.: Optimal production with uncertain interruptions in the supply of electricity: estimation of electricity outage costs. Eur. Econ. Rev. 37(6), 1259–1274 (Aug. 1993) Baarsma, B.E., Hop, J.P.: Pricing power outages in the Netherlands. Energy 34(9), 1378–1386 (Sep. 2009) 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 (Mar. 2007) de Nooij, M., Lieshout, R., Koopmans, C.: Optimal blackouts: empirical results on reducing the social cost of electricity outages through efficient regional rationing. Energy Econ. 31(3), 342–347 (May 2009) Praktiknjo, A.J., Hähnel, A., Erdmann, G.: Assessing energy supply security: outage costs in private households. Energy Policy 39(12), 7825–7833 (Dec. 2011) Pasha, H.A., Ghaus, A., Malik, S.: The economic cost of power outages in the industrial sector of Pakistan. Energy Econ. 11(4), 301–318 (Oct. 1989) Bose, R.K., Shukla, M., Srivastava, L., Yaron, G.: Cost of unserved power in Karnataka, India. Energy Policy 34(12), 1434–1447 (Aug. 2006) Bernstein, S., Agurto, R.: Use of outage cost for electricity pricing in Chile. Utilities Policy 2(4), 299–302 (Oct. 1992) Jin, S., Ryan, S.M., Watson, J.-P., Woodruff, D.L.: Modeling and solving a large-scale generation expansion planning problem under uncertainty. Energy Syst. 2(3–4), 209–242 (Nov. 2011) Makkonen, S., Lahdelma, R.: Non-convex power plant modelling in energy optimisation. Eur. J. Oper. Res. 171(3), 1113–1126 (Jun. 2006) Xiaotong, L., Yimei, L., Xiaoli, Z., Ming, Z.: Generation and transmission expansion planning based on game theory in power engineering. Syst. Eng. Proc. 4, 79–86 (2012) Samarakoon, H.M.D.R.H., Shrestha, R.M., Fujiwara, O.: A mixed integer linear programming model for transmission expansion planning with generation location selection. Int. J. Electr. Power Energy Syst. 23(4), 285–293 (2001) Zangeneh, A., Jadid, S., Rahimi-Kian, A.: Promotion strategy of clean technologies in distributed generation expansion planning. Renew. Energy 34(12), 2765–2773 (Dec. 2009) Falaghi, H., Singh, C., Haghifam, M.-R., Ramezani, M.: DG integrated multistage distribution system expansion planning. Int. J. Electr. Power Energy Syst. 33(8), 1489–1497 (Oct. 2011) Jirutitijaroen, P., Singh, C.: Power system reliability considerations in energy planning. In: Sorokin, A., Rebennack, S., Pardalos, P.M., Iliadis, N.A., Pereira, M.V.F. (eds.) Handbook of networks in power systems I. Springer, Berlin, pp. 505–522 (2012) Murugan, P., Kannan, S., Baskar, S.: NSGA-II algorithm for multi-objective generation expansion planning problem. Electr. Power Syst. Res. 79(4), 622–628 (Apr. 2009) Park, Y.M., Park, J.B., Won, J.R.: A hybrid genetic algorithm/dynamic programming approach to optimal long-term generation expansion planning. Int. J. Electr. Power Energy Syst. 20(4), 295–303 (May 1998) Villumsen, J.C., Philpott, A.B.: Investment in electricity networks with transmission switching. Eur. J. Oper. Res. 222(2), 377–385 (Oct. 2012) Smith, R.A., Mesa, O.J.: A rural electrification expansion model. Int. Trans. Oper. Res. 3(3–4), 319–325 (1996) Fan, N., Izraelevitz, D., Pan, F., Pardalos, P.M., Wang, J.: A mixed integer programming approach for optimal power grid intentional islanding. Energy Syst. 3(1), 77–93 (Jan. 2012) Foley, A.M., Ó Gallachóir, B.P., Hur, J., Baldick, R., McKeogh, E.J.: A strategic review of electricity systems models. Energy 35(12), 4522–4530 (2010) Park, Y.M., Lee, K.Y., Youn, L.T.O.: Optimization technique for long-term generation expansion planning using the maximum principle and the Gaussian distribution function. Electr. Power Syst. Res. 7(3), 191–200 (Jul. 1984) Feng, Y., Ryan, S.M.: Scenario construction and reduction applied to stochastic power generation expansion planning. Comput. Oper. Res. 40(1), 9–23 (Jan. 2013) Lopez, J A., Ponnambalam, K., Quintana, V.H.: Generation and transmission expansion under risk using stochastic programming. IEEE Trans. Power Syst. 22(3), 1369–1378 (2007) Hu, Q., Huang, G., Cai, Y., Huang, Y.: Feasibility-based inexact fuzzy programming for electric power generation systems planning under dual uncertainties. Appl. Energy 88(12), 4642–4654 (Dec. 2011) Karaki, S.H., Chaaban, F.B., Al-Nakhl, N., Tarhini, K.A.: Power generation expansion planning with environmental consideration for Lebanon. Int. J. Electr. Power Energy Syst. 24(8), 611–619 (Oct. 2002) Alishahi, E., Moghaddam, M.P., Sheikh-El-Eslami, M.K.: An investigation on the impacts of regulatory interventions on wind power expansion in generation planning. Energy Policy 39(8), 4614–4623 (Aug. 2011) Tekiner, H., Coit, D.W., Felder, F.A.: Multi-period multi-objective electricity generation expansion planning problem with Monte-Carlo simulation. Electr. Power Syst. Res. 80(12), 1394–1405 (Dec. 2010) Pereira, A.J.C., Saraiva, J.T.: Generation expansion planning (GEP)—a long-term approach using system dynamics and genetic algorithms (GAs). Energy 36(8), 5180–5199 (Aug. 2011) Cai, Y.P., Huang, G.H., Yang, Z.F., Tan, Q.: Identification of optimal strategies for energy management systems planning under multiple uncertainties. Appl. Energy 86(4), 480–495 (Apr. 2009) Cai, Y.P., Huang, G.H., Tan, Q., Yang, Z.F.: Planning of community-scale renewable energy management systems in a mixed stochastic and fuzzy environment. Renew. Energy 34(7), 1833–1847 (Jul. 2009) Li, Y.P., Huang, G.H., Yang, Z.F., Chen, X.: Inexact fuzzy-stochastic constraint-softened programming—a case study for waste management. Waste Manage. 29(7), 2165–2177 (Jul. 2009) Lin, Q.G., Huang, G.H.: Planning of energy system management and GHG-emission control in the Municipality of Beijing—an inexact-dynamic stochastic programming model. Energy Policy 37(11), 4463–4473 (Nov. 2009) Xie, Y.L., Li, Y.P., Huang, G.H., Li, Y.F.: An interval fixed-mix stochastic programming method for greenhouse gas mitigation in energy systems under uncertainty. Energy 35(12), 4627–4644 (Dec. 2010) Van Hop, N.: Solving fuzzy (stochastic) linear programming problems using superiority and inferiority measures. Inf. Sci. 177(9), 1977–1991 (May 2007) Shortle, J., Rebennack, S., Glover, F.W.: Transmission-capacity expansion for minimizing blackout probabilities. IEEE Trans. Power Syst. 2013 (early access, online) Qi, Y., Shi, D., Tylavsky, D.: Impact of assumptions on DC power flow model accuracy. North Am. Power Symp. (NAPS) 2012, 1–6 (2012) Purchala, K., Meeus, L., Van Dommelen, D., Belmans, R.: Usefulness of DC power flow for active power flow analysis. In: IEEE Power Engineering Society General Meeting, vol. 1, pp. 454–459 (2005) Frank, S., Steponavice, I., Rebennack, S.: Optimal power flow: a bibliographic survey I. Energy Syst. 3(3), 221–258 (Sep. 2012) Bazilian, M., Nussbaumer, P., Eibs-Singer, C., Brew-Hammond, A., Modi, V., Sovacool, B., Ramana, V., Aqrawi, P.-K.: Improving access to modern energy services: insights from case studies. Electr. J. 25(1), 93–114 (Jan. 2012) REMA. Rwanda State of Environment and Outlook Report. Rwanda Environment Management Authority, Kigali (2010) Safari, B.: A review of energy in Rwanda. Renew. Sustain. Energy Rev. 14(1), 524–529 (Jan. 2010) Uwamahoro, Y.: Rural electrification in Rwanda. Presented at the Workshop of Cost Reduction for Rural Electrification, Kigali (2010) Rwanda Utilities Regulatory Agency. Power supply overview: Rwanda’s power supply, Gisenyi (2009) Africa Development Bank. Boosting Rwanda’s Energy Sector—AfDB, Other Lenders Commit Usd 91.25 Million to Kivuwatt Project. All Africa, Kigali (2011) Rwanda Development Board. Investment Opportunities in Rwanda (2011) Urmee, T., Harries, D.: Determinants of the success and sustainability of Bangladesh’s SHS program. Renew. Energy 36(11), 2822–2830 (Nov. 2011) CIA. The World Factbook. Central Intelligence Agency, Washington, DC (2011) Lahmeyer International. Analysis and projection of Rwanda’s electricity demand, LI 260160 (2004) Van Dyke, J., Hu, P.: Determinants of variation in calculating a discount rate. Energy 14(10), 661–666 (Oct. 1989) Lumley, S.: The environment and the ethics of discounting: an empirical analysis. Ecol. Econ. 20(1), 71–82 (Jan. 1997) Rambaud, S.C., Torrecillas, M.J.M.: Some considerations on the social discount rate. Environ. Sci. Policy 8(4), 343–355 (Aug. 2005) Train, K.: Discount rates in consumers’ energy-related decisions: a review of the literature. Energy 10(12), 1243–1253 (Dec. 1985) Howarth, R.B.: Discount rates and sustainable development. Ecol. Model. 92(2–3), 263–270 (Dec. 1996) Goldemberg, J., Johansson, T.B.: Energy as an instrument for socio-economic development. United Nations Development Programme, New York (1995) Mulder, P., Tembe, J.: Rural electrification in an imperfect world: a case study from Mozambique. Energy Policy 36(8), 2785–2794 (Aug. 2008) Martinez, D.M., Ebenhack, B.W.: Understanding the role of energy consumption in human development through the use of saturation phenomena. Energy Policy 36(4), 1430–1435 (Apr. 2008) Pereira, M.G., Freitas, M.A.V., da Silva, N.F.: Rural electrification and energy poverty: empirical evidences from Brazil. Renew. Sustain. Energy Rev. 14(4), 1229–1240 (May 2010) Kirubi, C., Jacobson, A., Kammen, D.M., Mills, A.: Community-based electric micro-grids can contribute to rural development: evidence from Kenya. World Dev. 37(7), 1208–1221 (Jul. 2009) Wamukonya, N., Davis, M.: Socio-economic impacts of rural electrification in Namibia: comparisons between grid, solar and unelectrified households. Energy Sustain. Dev. 5(3), 5–13 (Sep. 2001) Cook, P.: Infrastructure, rural electrification and development. Energy Sustain. Dev. 15(3), 304–313 (Sep. 2011)