Cluster Computing

, Volume 22, Supplement 4, pp 8985–8997 | Cite as

Multi-stage generation and transmission coordinated planning method with a modified fireworks algorithm facing to energy internet

  • Dunnan Liu
  • Shaojie OuyangEmail author
  • Rui Ge
  • Mo Yang
  • Xiaochun Zhang
  • Fanghui Tan


The integration of energy internet (EI) and electric power system has a profound influence on electric power system planning. Therefore, this paper mainly resolves the EI-oriented multi-stage generation and transmission coordinated planning problem with a modified fireworks algorithm. Firstly, we combined with Stackelberg game theory and focused on subject game theory, system low carbon characteristic and renewable energy generation, a multi-stage generation and transmission coordinated planning model for electric power system is proposed. The model has a main objective function of maximizing the social welfare and two secondary objective functions of maximizing individual profits in the operation stage and maximizing overall profits of generation companies in the planning stage. Then, a modified fireworks algorithm (MFWA) is proposed with good expandability, convergence and adaptability to solve the problem. The MFWA is modified by introducing Gaussian Mutation to improve global search capability. The basic coding method and solution procedure of the MFWA are depicted. Finally, an improved IEEE-24 bus system is used to test the proposed planning method and MFWA. By comparing three scenarios and analysing results, we can verify the validity and feasibility of the proposed method.


Energy internet Fireworks algorithm Electric power system Coordinated planning 



The work described in this paper was supported by National Natural Science Foundation of China (71401055), Beijing Social Science Fund (15JDJGB034).


  1. 1.
    Vinasco, G., Rider, M.J., Romero, R.: Multi-stage planning of distribution networks with application of multi-objective algorithm accompanied by DEA considering economical, environmental and technical improvements. J. Circ. Syst. Comput. 25(04), 1650025 (2016)Google Scholar
  2. 2.
    Vinasco, G., Rider, M.J., Romero, R.: A strategy to solve the multistage transmission expansion planning problem. IEEE Trans. Power Syst. 26(4), 2574–2576 (2011)Google Scholar
  3. 3.
    Hinojosa, V.H., Galleguillos, N., Nuques, B.: A simulated rebounding algorithm applied to the multi-stage security-constrained transmission expansion planning in power systems. Electr. Power Energy Syst. 47(1), 168–180 (2013)Google Scholar
  4. 4.
    Kamyab, G.-R., Fotuhi-Firuzabad, M., Rashidinejad, M.: A PSO based approach for multi-stage transmission expansion planning in electricity markets. Electr. Power Energy Syst. 54(1), 91–100 (2014)Google Scholar
  5. 5.
    Ravadanegh, S.N., Roshanagh, R.G.: On optimal multistage electric power distribution networks expansion planning. Electr. Power Energy Syst. 54(1), 487–497 (2014)Google Scholar
  6. 6.
    Nejadfard-Jahromi, S., Rashidinejad, M., Abdollahi, A.: Multistage distribution network expansion planning under smart grids environment. Int. J. Electr. Power Energy Syst. 71, 222–230 (2015)Google Scholar
  7. 7.
    Liu, L., Cheng, H.Z., Yao, L.Z., Ma, Z.L., Bazargan, M.: Multi-objective multi-stage transmission network expansion planning considering life cycle cost and risk value under uncertainties. Int. Trans. Electr. Energy Syst. 23(3), 438–450 (2013)Google Scholar
  8. 8.
    Maghouli, P., Hosseini, S.H., Buygi, M.O., Shahidehpour, M.: A scenario-based multi-objective model for multi-stage transmission expansion planning. IEEE Trans. Power Syst. 26(1), 470–478 (2011)Google Scholar
  9. 9.
    Saboori, H., Hemmati, R., Abbasi, V.: Multistage distribution network expansion planning considering the emerging energy storage systems. Energy Convers. Manag. 105, 938–945 (2015)Google Scholar
  10. 10.
    Shen, X., Shahidehpour, M., Zhu, S., Han, Y., Zhen, J.: Multi-stage planning of active distribution networks considering the co-optimization of operation strategies. IEEE Trans. Smart Grid 99, 1–1 (2017)Google Scholar
  11. 11.
    Zhang, X., Li, J., Fu, H.: Distribution power & energy internet: from virtual power plants to virtual power system. Proc. CSEE 35(14), 3532–3540 (2015)Google Scholar
  12. 12.
    Shiming, T., Wenpeng, L., Dongxia, Z., et al.: Technical forms and key technologies on energy internet. Proc. CSEE 35(14), 3482–3494 (2015)Google Scholar
  13. 13.
    You, S., Lin, J., Hu, J., et al.: The danish perspective of energy internet: from service-oriented flexibility trading to integrated design, planning and operation of multiple cross-sectoral energy systems. Proc. CSEE 35(14), 3470–3481 (2015)Google Scholar
  14. 14.
    Ming, Z., Yongqi, Y., Dunnan, L., et al.: “Generation-grid-load-storage” coordinative optimal operation mode of energy internet and key technologies. Power Syst. Technol. 40(1), 114–124 (2016)Google Scholar
  15. 15.
    Arefifar, S.A., Mohamed, Y.A.I., El-Fouly, T.H.M.: Supply-adequacy-based optimal construction of microgrids in smart distribution systems. IEEE Trans. Smart Grid 3(3), 1491–1502 (2012)Google Scholar
  16. 16.
    He, Z., Jianyun, X.: Wind farm output forecast based on combined GM-WEIBULL wind speed distribution models. East China Electr. Power 36(11), 144–146 (2008)Google Scholar
  17. 17.
    Tan, Y., Zheng, S.: Recent advances in fireworks algorithm. CAAI Trans. Intell. Syst. 9(5), 515–528 (2014). (in Chinese) Google Scholar
  18. 18.
    Romero, R., Rochac, C., Mantovani, J.R.S.: Constructive heuristic algorithm for the DC model in network transmission expansion planning. IEE Proc. 152(2), 277–282 (2005)Google Scholar
  19. 19.
    Zeng, M., Chunquan, L., Qiu, L., Tian, K.: A demand-side response-based transmission planning model with grid-connected wind farms. Power Syst. Technol. 35(4), 129–134 (2011)Google Scholar
  20. 20.
    Gao, C., Wu, T., He, Y., Hu, R.: Generation and transmission coordinated planning considering wind power integration. Autom. Electr. Power Syst. 36(22), 30–35 (2012)Google Scholar
  21. 21.
    Liu, Y., Xiao, X., Liu, X., Wang, Y.: Optimal configuration of DVR in premium power park considering customers’ quantitative demand. Power Syst. Technol. 39(3), 823–828 (2015)Google Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • Dunnan Liu
    • 1
  • Shaojie Ouyang
    • 2
    Email author
  • Rui Ge
    • 3
  • Mo Yang
    • 4
  • Xiaochun Zhang
    • 4
  • Fanghui Tan
    • 4
  1. 1.State Key Laboratory for Alternate Electrical Power System with Renewable Energy SourcesNorth China Electric Power UniversityBeijingChina
  2. 2.Management Science Research Institute of Guangdong Power Grid Co., LtdGuangzhouChina
  3. 3.National Electric Power Dispatching and Communication CentreBeijingChina
  4. 4.School of Economics and ManagementNorth China Electric Power UniversityBeijingChina

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