Advertisement

Finding the Initial Variables for Affine Arithmetic-Based Power Flow Analysis

  • Yoseph Mekonnen AbebeEmail author
  • P. Mallikarjuna Rao
  • M. Gopichand Naik
Chapter
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 436)

Abstract

Power flow analysis has been playing a major role in providing information about the power system network. Due to the advancement of variable generation (VG) sources and weather variation, the punctual power flow analysis cannot give any information about the worst case scenario. The introduction of affine arithmetic (AA) is gaining high recognition due to its ability to consider all forms of uncertainty than interval arithmetic (IA). The first work in applying AA for power flow analysis is finding the initial affine forms in order to start the analysis. This paper focuses on finding the initial voltage and angle affine forms for polar coordinates and the initial real and reactive voltage forms for rectangular coordinate system.

Keywords

Affine arithmetic Initial affine forms Interval arithmetic Power flow analysis Variable generation Weather change 

References

  1. 1.
    Abebe, Y.M., Pasumarthi, M.R., Mudavath, G.N.: Load flow analysis of uncertain power system through affine arithmetic. In: Lecture Notes in Electrical Engineering Microelectronics, Electromagnetics and Telecommunications, vol. 372, pp. 217–231 (2015)Google Scholar
  2. 2.
    Vaccaro, A., Cańizares, C.A., Villacci, D.: An Affine arithmetic-based methodology for reliable power flow analysis in the presence of data uncertainty. IEEE Trans. Power Syst. 25(2), 624–632 (2010)Google Scholar
  3. 3.
    Muńoz, J., Cańizares, C., Bhattacharya, K., Vaccaro, A.: An affine arithmetic based method for voltage stability assessment of power systems with intermittent generation sources. IEEE Trans. Power Syst. 28(4), 4475–4487 (2013)CrossRefGoogle Scholar
  4. 4.
    Dimitrovski, A., Tomsovic, K., Vaccaro, A.: Reliable algorithms for power flow analysis in the presence of data uncertainties. In Proceedings, Innovations in Power Systems Reliability, pp. 329–357. Springer, London (2011)Google Scholar
  5. 5.
    Pirnia, M., Canizares, C.A., Bhattacharya, K., Vaccaro, A.: A novel affine arithmetic method to solve optimal power flow problems with uncertainties. IEEE Trans. Power Syst. 29(6), 2775–2783 (2014)CrossRefGoogle Scholar
  6. 6.
    Gu, W., Luo, L., Ding, T., Meng, X., Sheng, W.: An affine arithmetic-based algorithm for radial distribution system power flow with uncertainties. Int. J. Electr. Power Energy Syst. 58, 242–245 (2014)CrossRefGoogle Scholar
  7. 7.
    Stolfi, J., De Figueiredo, L.H.: An Introduction to affine arithmetic. Trends Appl. Comput. Math. 4(3), 297–312 (2003)MathSciNetzbMATHGoogle Scholar
  8. 8.
    De Figueiredo, L.H., Stolfi, J.: Affine arithmetic: concepts and applications, vol. 37, pp. 147–158. Kluwer Academic Publisher, Netherlands (2004)Google Scholar
  9. 9.
    Fermia, N., Spagnuolo, G.: True worst-case circuit tolerance analysis using genetic algorithms and affine arithmetic. IEEE Trans. Circ. Syst. Fundam. Theory Appl. 47(9), 1285–1296 (2000)MathSciNetCrossRefzbMATHGoogle Scholar
  10. 10.
    Abebe, Y.M., Rao, P.M.: Overhead transmission line sag, tension and length calculation using affine arithmetic. In: IEEE Power, Communication and Information Technology Conference (PCITC), pp. 211–216 (2015)Google Scholar
  11. 11.
    Zhang, C., Chen, H., Ngan, H., Yang, P., Hua, D.: A mixed interval power flow analysis under rectangular and polar coordinate system. IEEE Trans. Power Syst. 1–1 (2016)Google Scholar
  12. 12.
    Aghatehrani, R., Kavasseri, R.: Reactive power management of a DFIG wind system in microgrids based on voltage sensitivity analysis. Trans. Sustainable Energy 2, 451–458 (2011)CrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Yoseph Mekonnen Abebe
    • 1
    Email author
  • P. Mallikarjuna Rao
    • 1
  • M. Gopichand Naik
    • 1
  1. 1.Department of Electrical Engineering, College of Engineering (A)Andhra UniversityVisakhapatnamIndia

Personalised recommendations