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Optimization Algorithm for Power Flow Calculation Using Graph Theory

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Proceedings of 2019 Chinese Intelligent Systems Conference (CISC 2019)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 594))

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Abstract

This paper considers the optimization of line loss calculation and the improvement of the rapidity of power flow analysis. A novel splitting strategy, say, decoupling the topology associated with the power gird into the main network containing the power branch and the subnet-based segmentation, is proposed to reduce the iterative matrix dimension, which makes it possible to calculate the subnet and the main net with the tools of Newton-Raphson method and the fast flow algorithm separately. The feasibility and effectiveness of the proposed scheme are proven by simulation results of the IEEE-30 Bus system.

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References

  1. Chen B et al (2018) Theoretical line loss calculation of distribution network based on the integrated electricity and line loss management system. In: China international conference on electricity distribution CICED, pp 2531–2535. https://doi.org/10.1109/ciced.2018.8592309

  2. Wu ZQ (2002) Loss and branch power flow allocation based on topological method. Electr Power Compon Syst 30:1179–1193

    Article  Google Scholar 

  3. De M, Goswami SK (2010) A direct and simplified approach to power-flow tracing and loss allocation using graph theory. Electr Power Compon Syst 38:241–259

    Article  Google Scholar 

  4. Sharma S, Abhyankar AR (2018) Deviation cost allocation of DISCOM using shapley value. Electr Power Compon Syst 46:1–13

    Article  Google Scholar 

  5. Zhang Q, Gang C (2015) A study of line loss calculation method and its application in distribution network, pp 180–184. https://doi.org/10.3969/j.issn.1007-2284.2015.05.045

  6. Yan C (2015) The steady state analysis of power systems, pp 109–143

    Google Scholar 

  7. Chen GU, Xiu-fan LE, Zhang XM (2010) Three-phase power flow method for weakly meshed distribution systems based on modified back/forward sweep method. Power Syst Prot (2010). https://doi.org/10.3969/j.issn.1674-3415.2010.19.030

  8. Haque MH (2010) A general load flow method for distribution systems. Power Syst Prot Control 38, 57–61,68

    Google Scholar 

  9. Goswami SK, Basu SK (1991) Direct solution of distribution systems. In: IEE proceedings C (generation, transmission and distribution), vol 138. IET, pp 78–88

    Google Scholar 

  10. Bortolosso C, Leborgne RC (2015) Analysis of the impact of new power sources to voltage sags using Zbus. In: 2015 IEEE PES innovative smart grid technologies Latin America (ISGT LATAM). IEEE, pp 371–375. https://doi.org/10.1109/isgt-la.2015.7381184

  11. Kim S, Thapa I, Ali HH (2018) A graph-theoretic approach for identifying bacterial inter-correlations and functional pathways in microbiome data. In: 2018 IEEE international conference on bioinformatics and biomedicine (BIBM). IEEE, pp 405–411. https://doi.org/10.1109/bibm.2018.8621179

  12. Rong H, Ma T, Tang M, Cao J (2018) A novel subgraph K+-isomorphism method in social network based on graph similarity detection. Soft Comput 22:2583–2601

    Article  Google Scholar 

  13. Xia Q, Liang W, Xu Z (2017) The operational cost minimization in distributed clouds via community-aware user data placements of social networks. Comput Netw 112:263–278

    Article  Google Scholar 

  14. Meysman P et al (2018) Mining the enriched subgraphs for specific vertices in a biological graph. IEEE/ACM Trans Comput Biol Bioinform 5963:1–12

    Article  Google Scholar 

  15. Amali S, Faddouli NEL, Boutoulout A (2018) Machine learning and graph theory to optimize drinking water. Proc Comput Sci 127:310–319

    Article  Google Scholar 

  16. Yu DC (2010) Layer-decoupled power flow algorithm for complex networks. Proc CSEE 30:56–61. https://doi.org/10.13334/j.0258-8013.pcsee.2010.07.009

    Article  Google Scholar 

  17. Wang XD, Lin J (2014) The controlled splitting strategy for power system based on a decomposition algorithm. In: China international conference on electricity distribution, CICED, pp 1605–1609

    Google Scholar 

  18. Sen A, Ghosh P, Vittal V, Yang B (2009) A new min-cut problem with application to electric power network partitioning. Eur Trans Electr Power 19:778–797

    Article  Google Scholar 

  19. Yan W, Liu F, Wang G, Xiu G, Huang S (2003) Layer-by-layer back/forward sweep method for radial distribution load flow. Proc Chin Soc Electr Eng 23(8):76–80

    Google Scholar 

  20. Nassar ME, Salama MMA (2017) A novel branch-based power flow algorithm for islanded AC microgrids. Electr Power Syst Res 146:51–62

    Article  Google Scholar 

  21. Gonen T (2016) Modern power system analysis. CRC Press, Boca Raton

    Book  Google Scholar 

  22. Gu XF (2018) Line loss calculation and loss reduction analysis of distribution network. Smart Grid 08:312–322

    Article  Google Scholar 

  23. Men X, Wang Z, Cao J, Pan X (2017) Coupling analysis of gas-electric hybrid system based on Newton-Raphson method. J Eng 2017:1505–1510

    Google Scholar 

  24. Alsac O, Stott B (1974) Optimal load flow with steady-state security. IEEE Trans Power Appar Syst PAS 93:745–751

    Article  Google Scholar 

  25. Ferrero RW, Shahidehpour SM, Ramesh VC (1997) Transaction analysis in deregulated power systems using game theory. IEEE Trans Power Syst 12:1340–1347

    Article  Google Scholar 

Download references

Acknowledgement

This work was supported by the National Natural Science Foundation of China (61673106), Natural Science Foundation of Jiangsu Province (BK20171362) and the Fundamental Research Funds for the Central Universities (2242019K40024).

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Correspondence to Yangyang Chen .

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Xu, Y., Chen, Y., Liu, T., Chen, W. (2020). Optimization Algorithm for Power Flow Calculation Using Graph Theory. In: Jia, Y., Du, J., Zhang, W. (eds) Proceedings of 2019 Chinese Intelligent Systems Conference. CISC 2019. Lecture Notes in Electrical Engineering, vol 594. Springer, Singapore. https://doi.org/10.1007/978-981-32-9698-5_17

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