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

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


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.


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


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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

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