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Optimal Volt/Var Control Applied to Modern Distribution Systems Read chapter Read first chapter

2020 | OriginalPaper | Chapter

Electric Distribution Network Planning Under Uncertainty

Authors : Julio López, Marcos J. Rider, Javier Contreras

Published in: Handbook of Optimization in Electric Power Distribution Systems

Publisher: Springer International Publishing

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Abstract

This chapter presents a deterministic and an adaptive robust model for the short-term network expansion planning in electric distribution networks, considering siting and sizing of voltage regulators, capacitor banks, renewable energy generation, energy storage systems, and existing overloaded feeders reinforcement. The objective function to be minimized consists of investment and operation costs. Conventional expansion models in distribution networks are stated as a mixed-integer non-linear mathematical programs. In this chapter, we introduce the standard formulation and transform it into a mixed-integer linear programming form. This formulation is used to solve a deterministic short-term electric distribution network expansion planning case. Based on the deterministic formulation, we expand the formulation to a two-stage tri-level adaptive robust problem for considering load consumption and renewable-based DG uncertainties. By using Karush–Kuhn–Tucker conditions, this model is transformed into a two-stage bi-level adaptive robust optimization problem. A column and constraint generation framework is used to solve the problem. Computational results are obtained from a 123-node distribution system under different conditions to assess the performance of the proposed approach. Results show the effectiveness of the proposed methodology.

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previous chapter Optimal Restoration of Electrical Distribution Systems Considering Switching Sequence
next chapter Phase Balancing in Power Distribution Grids: A Genetic Algorithm with a Group-Based Codification
Appendix
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Literature
1.
Abdelouadoud, S., Girard, R., Neirac, F., Guiot, T.: Optimal power flow of a distribution system based on increasingly tight cutting planes added to a second order cone relaxation. Int. J. Electr. Power Energy Syst. 69, 9–17 (2015)CrossRef
2.
Agalgaonkar, Y.P., Pal, B.C., Jabr, R.A.: Stochastic distribution system operation considering voltage regulation risks in the presence of PV generation. IEEE Trans. Sustain. Energy 6(4), 1315–1324 (2015)CrossRef
3.
Ahmadigorji, M., Amjady, N., Dehghan, S.: A robust model for multiyear distribution network reinforcement planning based on information-gap decision theory. IEEE Trans. Power Syst. 33(2), 1339–1351 (2018)CrossRef
4.
Alsaidan, I., Khodaei, A., Gao, W.: A comprehensive battery energy storage optimal sizing model for microgrid applications. IEEE Trans. Power Syst. 33(4), 3968–3980 (2018)CrossRef
5.
Amjady, N., Attarha, A., Dehghan, S., Conejo, A.J.: Adaptive robust expansion planning for a distribution network with DERs. IEEE Trans. Power Syst. 33(2), 1698–1715 (2018)CrossRef
6.
Baharvandi, A., Aghaei, J., Niknam, T., Shafie-Khah, M., Godina, R., Catalão, J.P.S.: Bundled generation and transmission planning under demand and wind generation uncertainty based on a combination of robust and stochastic optimization. IEEE Trans. Sustain. Energy 9(3), 1477–1486 (2018)CrossRef
7.
Baran, M.E., Wu, F.F.: Network reconfiguration in distribution systems for loss reduction and load balancing. IEEE Trans. Power Delivery 4(2), 1401–1407 (1989)CrossRef
8.
Ben-Tal, A., Nemirovski, A.: Robust convex optimization. Math. Oper. Res. 23(4), 769–805 (1998)CrossRef
9.
Ben-Tal, A., Nemirovski, A.: Robust solutions of uncertain linear programs. Oper. Res. Lett. 25(1), 1–13 (1999)CrossRef
10.
Ben-Tal, A., Nemirovski, A.: Robust solutions of linear programming problems contaminated with uncertain data. Math. Program. 88(3), 411–424 (2000)CrossRef
11.
Ben-Tal, A., Nemirovski, A.: Robust optimization - methodology and applications. Math. Program. 92(3), 453–480 (2002)CrossRef
12.
Ben-Tal, A., Goryashko, A., Guslitzer, E., Nemirovski, A.: Adjustable robust solutions of uncertain linear programs. Math. Program. 99(2), 351–376 (2004)CrossRef
13.
Bertsimas, D., Sim, M.: Robust discrete optimization and network flows. Math. Program. 98(1–3), 49–71 (2003)CrossRef
14.
Bertsimas, D., Sim, M.: The price of robustness. Oper. Res. 52(1), 35–53 (2004)CrossRef
15.
Bertsimas, D., Brown, D.B., Caramanis, C.: Theory and applications of robust optimization. SIAM Rev. 53(3), 464–501 (2011)CrossRef
16.
Bertsimas, D., Litvinov, E., Sun, X.A., Zhao, J., Zheng, T.: Adaptive robust optimization for the security constrained unit commitment problem. IEEE Trans. Power Syst. 28(1), 52–63 (2013)CrossRef
17.
Chiradeja, P., Ramakumar, R.: An approach to quantify the technical benefits of distributed generation. IEEE Trans. Energy Convers. 19(4), 764–773 (2004)CrossRef
18.
19.
Dehghan, S., Amjady, N.: Robust transmission and energy storage expansion planning in wind farm-integrated power systems considering transmission switching. IEEE Trans. Sustain. Energy 7(2), 765–774 (2016)CrossRef
20.
21.
22.
Ding, T., Liu, S., Yuan, W., Bie, Z., Zeng, B.: A two-stage robust reactive power optimization considering uncertain wind power integration in active distribution networks. IEEE Trans. Sustain. Energy 7(1), 301–311 (2016)CrossRef
23.
Evangelopoulos, V.A., Georgilakis, P.S., Hatziargyriou, N.D.: Optimal operation of smart distribution networks: a review of models, methods and future research. Electr. Power Syst. Res. 140, 95–106 (2016)CrossRef
24.
Falugi, P., Konstantelos, I., Strbac, G.: Planning with multiple transmission and storage investment options under uncertainty: a nested decomposition approach. IEEE Trans. Power Syst. 33(4), 3559–3572 (2018)CrossRef
25.
Fanzeres, B., Street, A., Barroso, L.A.: Contracting strategies for renewable generators: a hybrid stochastic and robust optimization approach. IEEE Trans. Power Syst. 30(4), 1825–1837 (2015)CrossRef
26.
Farahani, V., Sadeghi, S.H.H., Abyaneh, H.A., Agah, S.M.M., Mazlumi, K.: Energy loss reduction by conductor replacement and capacitor placement in distribution systems. IEEE Trans. Power Syst. 28(3), 2077–2085 (2013)CrossRef
27.
Florez, H.A.R., Carreno, E.M., Rider, M.J., Mantovani, J.R.S.: Distflow based state estimation for power distribution networks. Energy Syst. 9(4), 1055–1070 (2018)CrossRef
28.
Fourer, R., Gay, D.M., Kernighan, B.W.: AMPL: A Modeling Language for Mathematical Programming. Boston, Duxbury Press (2002)
29.
Franco, J.F., Rider, M.J., Lavorato, M., Romero, R.: A mixed-integer LP model for the optimal allocation of voltage regulators and capacitors in radial distribution systems. Int. J. Electr. Power Energy Syst. 48, 123–130 (2013)CrossRef
30.
Frank, S., Rebennack, S.: An introduction to optimal power flow: theory, formulation, and examples. IIE Trans. 48(12), 1172–1197 (2016)CrossRef
31.
Ghaoui, L.E., Oustry, F., Lebret, H.: Robust solutions to uncertain semidefinite programs. SIAM J. Optim. 9(1), 33–52 (1998)CrossRef
32.
IBM: IBM ILOG CPLEX V12.1 Users Manual for CPLEX (2009)
33.
Jabr, R.A., Džafić, I., Pal, C.B.: Robust optimization of storage investment on transmission networks. IEEE Trans. Power Syst. 30(1), 531–539 (2015)CrossRef
34.
Ji, H., Wang, C., Li, P., Ding, F., Wu, J.: Robust operation of soft open points in active distribution networks with high penetration of photovoltaic integration. IEEE Trans. Sustain. Energy 10(1), 280–289 (2019)CrossRef
35.
Jiang, R., Zhang, M., Li, G., Guan, Y.: Benders’ decomposition for the two-stage security constrained robust unit commitment problem. In: IIE Annual Conference, Proceedings, pp. 1–10 (2012)
36.
37.
38.
Macedo, L.H., Franco, J.F., Rider, M.J., Romero, R.: Optimal operation of distribution networks considering energy storage devices. IEEE Trans. Smart Grid 6(6), 2825–2836 (2015)CrossRef
39.
Melgar-Dominguez, O.D., Pourakbari-Kasmaei, M., Mantovani, J.R.S.: Adaptive robust short-term planning of electrical distribution systems considering siting and sizing of renewable energy based DG units. IEEE Trans. Sustain. Energy 10(1), 158–169 (2019)CrossRef
40.
Montoya-Bueno, S., Muñoz-Hernández, J., Contreras, J.: Uncertainty management of renewable distributed generation. J. Cleaner Prod. 138, 103–118 (2016)CrossRef
41.
Muñoz-Delgado, G., Contreras, J., Arroyo, J.M.: Multistage generation and network expansion planning in distribution systems considering uncertainty and reliability. IEEE Trans. Power Syst. 31(5), 3715–3728 (2016)CrossRef
42.
Mwakabuta, N., Sekar, A.: Study of the application of evolutionary algorithms for the solution of capacitor deployment problem in distribution systems. In: 2008 40th Southeastern Symposium on System Theory (SSST), pp. 178–182 (2008)
43.
Nikmehr, N., Najafi-Ravadanegh, S.: Optimal operation of distributed generations in micro-grids under uncertainties in load and renewable power generation using heuristic algorithm. IET Renew. Power Gener. 9(8), 982–990 (2015)CrossRef
44.
45.
Ortiz, J.M.H., Pourakbari-Kasmaei, M., López, J., Mantovani, J.R.S.: A stochastic mixed-integer conic programming model for distribution system expansion planning considering wind generation. Energy Syst. 9(3), 551–571 (2018)CrossRef
46.
Pereira Junior, B.R., Cossi, A.M., Mantovani, J.R.S.: Multiobjective short-term planning of electric power distribution systems using NSGA-II. J. Control Autom. Electr. Syst. 24(3), 286–299 (2013)CrossRef
47.
Pozo, D., Contreras, J., Sauma, E.E.: Unit commitment with ideal and generic energy storage units. IEEE Trans. Power Syst. 29(6), 2974–2984 (2014)CrossRef
48.
Ravichandran, A., Sirouspour, S., Malysz, P., Emadi, A.: A chance-constraints-based control strategy for microgrids with energy storage and integrated electric vehicles. IEEE Trans. Smart Grid 9(1), 346–359 (2018)CrossRef
49.
Santos, S.F., Fitiwi, D.Z., Bizuayehu, A.W., Shafie-khah, M., Asensio, M., Contreras, J., Cabrita, C.M.P., João, P.S.C.: Novel multi-stage stochastic DG investment planning with recourse. IEEE Trans. Sustain. Energy 8(1), 164–178 (2017)CrossRef
50.
Tan, S., Xu, J., Panda, S.K.: Optimization of distribution network incorporating distributed generators: an integrated approach. IEEE Trans. Power Syst. 28(3), 2421–2432 (2013)CrossRef
51.
Thiele, A., Terry, T., Epelman, M.: Robust linear optimization with recourse. Rapport technique, pp. 4–37 (2009)
52.
Wang, Z., Chen, B., Wang, J., Kim, J., Begovic, M.M.: Robust optimization based optimal DG placement in microgrids. IEEE Trans. Smart Grid 5(5), 2173–2182 (2014)CrossRef
53.
Wang, R., Wang, P., Xiao, G.: A robust optimization approach for energy generation scheduling in microgrids. Energy Convers. Manag. 106, 597–607 (2015)CrossRef
54.
Xiang, Y., Liu, J., Liu, Y.: Robust energy management of microgrid with uncertain renewable generation and load. IEEE Trans. Smart Grid 7(2), 1034–1043 (2016)
55.
Xing, H., Cheng, H., Zhang, Y., Zeng, P.: Active distribution network expansion planning integrating dispersed energy storage systems. IET Gener. Transm. Distrib. 10(3), 638–644 (2016)CrossRef
56.
Yanıkoǧlu, I., Gorissen, B.L., Hertog, D.D.: A survey of adjustable robust optimization. Eur. J. Oper. Res. 27, 799–813 (2019)
57.
58.
Zhao, L., Zeng, B.: Robust unit commitment problem with demand response and wind energy. In: 2012 IEEE Power and Energy Society General Meeting, pp. 1–8 (2012)
59.
Zeng, B., Zhao, L.: Solving two-stage robust optimization problems using a column-and-constraint generation method. Oper. Res. Lett. 41(5), 457–461 (2013)CrossRef
60.
Zheng, Y., Zhao, J., Song, Y., Luo, F., Meng, K., Qiu, J., Hill, D.J.: Optimal operation of battery energy storage system considering distribution system uncertainty. IEEE Trans. Sustain. Energy 9, 1051–1060 (2018)CrossRef
Metadata
Title
Electric Distribution Network Planning Under Uncertainty
Authors
Julio López
Marcos J. Rider
Javier Contreras
Copyright Year
2020
Book
Handbook of Optimization in Electric Power Distribution Systems

Print ISBN: 978-3-030-36114-3

Electronic ISBN: 978-3-030-36115-0

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-36115-0_10